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In many problems the sonic (") properties are more useful reference values than the stagnation properties. For isentropic flow of a perfect gas, derive relations for $p / p^{*}$$T / T^{*},$ and $\rho / \rho^{*}$ as functions of the Mach number. Let us help by giving the density-ratio formula: \[ \frac{\rho}{\rho^{k}}=\left[\frac{k+1}{2+(k-1) \mathrm{Ma}^{-2}}\right]^{1 /(k-1)} \].

In many problems the sonic (") properties are more useful reference values than the stagnation properties. For isentropic flow of a perfect gas, derive relations for $p / p^{*}$$T / T^{*},$ and $\rho / \rho^{*}$ as functions of the Mach number. Let us help by giving the density-ratio formula: \...

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Draw the graph of $y=|x|^{1 / 2}$ for $-1 leq x leq 1$.

Draw the graph of $y=|x|^{1 / 2}$ for $-1 leq x leq 1$....

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Dx r2 +x -221n 87 + c 4 1In 7 = J + X 12None3 1n 7/ J + 4 722 In 47 J + X 31

dx r2 +x -2 21n 87 + c 4 1 In 7 = J + X 12 None 3 1n 7/ J + 4 72 2 In 47 J + X 31...

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When a cyclist squeezes her brake lever, she can stop wlth an acceleration of #3.0# #m##/##s^2# . How far will her bike travel while coming to a complete step if her initial speed was #11# #m##/##s#?

When a cyclist squeezes her brake lever, she can stop wlth an acceleration of #3.0# #m##/##s^2# . How far will her bike travel while coming to a complete step if her initial speed was #11# #m##/##s#?...

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The interference pattern of two waves of the form:U1=A exp(j*2*pi*b1*y) and U2=B exp(j*2*pi*b2*y)illuminate a photographic film.i) Calculate the intensity pattern that falls on the filmanalytically

The interference pattern of two waves of the form: U1=A exp(j*2*pi*b1*y) and U2=B exp(j*2*pi*b2*y) illuminate a photographic film. i) Calculate the intensity pattern that falls on the film analytically...

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1.3.2. Write out the augmented matrix for the following linear systems Then solve the system by first applying elementary row operations of type #1 to place the augmented matrix in upper triangular form; followed by Back Substitution 2y + 2 = 0, T1 + 7T2 " 32 5wW = -1, (b) (c) 2y _ 82 = & 211 952 22 + W = 8. 41+5y +92 = -9. T=2T3 = =1, -I+3y_ 2+ W = -2 P+ 4q - 2r = 1, 82 - %4 = 2, I-y+32 _ w = 0, 2p 3r = =7, (e) (I) 312 + 213 F 0, y - 2+4w = 7, 3p _ 29+2r =_1_ AI TIA 41 - y+2 =5.

1.3.2. Write out the augmented matrix for the following linear systems Then solve the system by first applying elementary row operations of type #1 to place the augmented matrix in upper triangular form; followed by Back Substitution 2y + 2 = 0, T1 + 7T2 " 32 5wW = -1, (b) (c) 2y _ 82 = & 2...

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Determine the amplitude and period of each function. Then graph one period of the function. $$y=-\sin \frac{4}{5} x$$

Determine the amplitude and period of each function. Then graph one period of the function. $$y=-\sin \frac{4}{5} x$$...

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Question 50 (1 point) Which one of the following reactions does not give tert-butylbenzene?1) benzene (CH3lCOH/HzSO42) benzene (CH3I3CHIAICIabenzene (CH3 J2C-CHz/HzSO4benzene (CH3)3CCVAICI3

Question 50 (1 point) Which one of the following reactions does not give tert-butylbenzene? 1) benzene (CH3lCOH/HzSO4 2) benzene (CH3I3CHIAICIa benzene (CH3 J2C-CHz/HzSO4 benzene (CH3)3CCVAICI3...

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Ahow thnt tho htd of & Eolf club of Huva 220 Erana unvulllly Hlgh-opeed etroboacopic photographa Aftee the colllslot, tha clubhetul tavel, eetikons 40-ETALID Koll [ ball TCL Ou 50 m/e Juat beforo after impact. Ls the colliston between the 30 i/a Find the eptud of the golf ball juat Lhe Ama direetion) 36 clubherd and the = Ell tll elnstic tr inelastic: Wly?

ahow thnt tho htd of & Eolf club of Huva 220 Erana unvulllly Hlgh-opeed etroboacopic photographa Aftee the colllslot, tha clubhetul tavel, eetikons 40-ETALID Koll [ ball TCL Ou 50 m/e Juat beforo after impact. Ls the colliston between the 30 i/a Find the eptud of the golf ball juat Lhe Ama dire...

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8. Find all discontinuities of f(x) = (x4 - 1)/(x2 - 4)(x - 1). Explain in...

8. Find all discontinuities of f(x) = (x4 - 1)/(x2 - 4)(x - 1). Explain in detail which discontinuities, if any, are removable and which are non-removable....

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5. (10 points) (a) Shade in the appropriate regions in the Venn Diagram below, to illus-...

5. (10 points) (a) Shade in the appropriate regions in the Venn Diagram below, to illus- trate the set (AUB) - (CNA)....

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You need $11,000 to purchase a used car. Your wealthy uncle is willing to lend you...

you need $11,000 to purchase a used car. Your wealthy uncle is willing to lend you the money as an amortized loan. He would like you to make annual payments for 6 years, with the first payment to be made one year from today. He requires a 9% annual return. What will be your annual loan payments? Do...

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Travel Expenses Create a GUI in C# Visual Studios application that calculates and displays the total...

Travel Expenses Create a GUI in C# Visual Studios application that calculates and displays the total travel expenses of a business person on a trip. Here is the information that the user must provide: • Number of days on the trip • Amount of airfare, if any • Amount of car rental fees...

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A sample of 2.0 kg of hot water has an initial temperature of 70'C We wish to cool the water down to & final temperature of 10*C by adding ice with an initial temperature of 0.00?C. The heat of fusion of ice is 3.34x105 Jlkg;the specific heat of water ice is 2090 Jlkg/K, and the specific heat of liquid water is 4190 Jlkg/K The mass of ice required is closest to1.33 kg1.42 kg0.67 kg1.51kg12.0 kg

A sample of 2.0 kg of hot water has an initial temperature of 70'C We wish to cool the water down to & final temperature of 10*C by adding ice with an initial temperature of 0.00?C. The heat of fusion of ice is 3.34x105 Jlkg;the specific heat of water ice is 2090 Jlkg/K, and the specific he...

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2. Calculate the terminal speed for (a) a raindrop (radius =0.1mm) and (3%) (b ) a...

2. Calculate the terminal speed for (a) a raindrop (radius =0.1mm) and (3%) (b ) a gold ball (radius = 35 mm, weight= 1950 g) (3%) (c) if a raindrop is released from the sky (h=10000 m) at t=0 s, then a golden ball is released from the some position at t =3 S, Will golden ball touch the raindrop in ...

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Find A 2 2 and B for X+8 Ithe partia iIraction 1

Find A 2 2 and B for X+8 Ithe partia iIraction 1...

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Preare a statement of stockholder's equity. additional common stock if 7,500 was issued during the year...

preare a statement of stockholder's equity. additional common stock if 7,500 was issued during the year ended June 30, 20Y7. 2. Prepare a statement of stockholders' equity. Additional common stock of $7,500 was issued during the year ended June 30, 2077. Kanpur Co. Statement of Stockh...

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Relay Rub in Figure represents directional comparison blocking relay using directional mho relays for tripping and reversed mho relays without offset for block- ing; Determine the carrier start and carrier trip settings for the phase relays The system nominal voltage 138kV_ and the positive-sequence impedances for the various ele ments are given in the figure: Assume that the maximum load is 120MVA and select CT ratio accordingly- The available relays be set from 0.2 t0 [0 Q or from 05 40 9 whi

Relay Rub in Figure represents directional comparison blocking relay using directional mho relays for tripping and reversed mho relays without offset for block- ing; Determine the carrier start and carrier trip settings for the phase relays The system nominal voltage 138kV_ and the positive-sequenc...

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Suppose you want to end up with $5,000 in a bank account after 4 years earning a rate of 3.5% compounding monthly. How much would you have to initially invest?

Suppose you want to end up with $5,000 in a bank account after 4 years earning a rate of 3.5% compounding monthly. How much would you have to initially invest?...

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Find tha unknotn anqle5 In Irialiglu = LAEC * DaC hnanotalorisis 38 9"Belact Iha colecl choke Lalon; ad nacessaly fll the answer boxcs Colde 0 You choicaTnare 1 only ono pass bie setct rema N] arglos Tra measure Inurils Ior Ihe ramaining angles at @ = (Round @ Iho naarest tetth as neaoed ) Tharo nt0 [4 potsibla sote ol rornalritg urglea. Inoat Aia 40 (Ronata thu reres Tentr- naeded ` No #uch tlanglo axs30ano â‚¬C =ieasuromen (or when B Is ehta"e

Find tha unknotn anqle5 In Irialiglu = LAEC * DaC hnanotalorisis 38 9" Belact Iha colecl choke Lalon; ad nacessaly fll the answer boxcs Colde 0 You choica Tnare 1 only ono pass bie setct rema N] arglos Tra measure Inurils Ior Ihe ramaining angles at @ = (Round @ Iho naarest tetth as neaoed ) T...

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Ignment-6 Weglu [Yute: V/19OIR |2()(m) Am IJule [Duta: MaZuIX 1559 ( PM End Dute: 5/5/2018 /4.59.00 PM (1496) Fcohlc Sup[ose double-sIit Intctlctcuee pullctn hus Ilutad IITIIITIUI angle of 0.26" with slits that arc sepurted by JII /uKnudomlzed Vurlubles0.26" 4ejlluCulculute Uu' wavelenguh Of the lipht MSt( ) Cos() It() C(I() Msing) ICOS() AI() McOtan( ) sinhg) cosh() tanhc) cotanh() bcrces RudhunsSubmtLmuyededuclin Ft bunt . Hint` [etquaining'Fcallmck:dedluctiam [xT Iccdbik ,

Ignment-6 Weglu [Yute: V/19OIR |2()(m) Am IJule [Duta: MaZuIX 1559 ( PM End Dute: 5/5/2018 /4.59.00 PM (1496) Fcohlc Sup[ose double-sIit Intctlctcuee pullctn hus Ilutad IITIIITIUI angle of 0.26" with slits that arc sepurted by JII /u Knudomlzed Vurlubles 0.26" 4ejllu Culculute Uu' wav...

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Please answer all 3 photos f () = sin 2 - 2 ) + 3 a)...

please answer all 3 photos f () = sin 2 - 2 ) + 3 a) Give the period of the function b) Give the phase shift of the function c) Give the amplitude of the function d) Give the equation of the mid-line for the function e) What is the maximum value this function will have? 2 Daylight hours in New ...

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22 How many mL of NaOH were required to exactly neutralize all the HCI without adding any extra? How do you know?23. What is the concentration (in M or moles/L) of the NaOH that was added?24. How many moles of NaOH had to be added for the solution to be neither acidic nor basic?25 How many moles of HCI were originally in the flask? Explain_26 What volume contained that number of moles of HCI?27. What was the original concentration (in M) of HCI in the flask?28 In a complete sentence or two, expl

22 How many mL of NaOH were required to exactly neutralize all the HCI without adding any extra? How do you know? 23. What is the concentration (in M or moles/L) of the NaOH that was added? 24. How many moles of NaOH had to be added for the solution to be neither acidic nor basic? 25 How many moles ...

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(an)neNis a sequence such that limn-e an Show that for every 0, there exists subsequence (an(k)lken such that the series converges and 0)Qa

(an)neNis a sequence such that limn-e an Show that for every 0, there exists subsequence (an(k)lken such that the series converges and 0) Qa...

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Basic company facts: *Name of the firm: Britannia *Category of the firm: FMCG *State of incorporation:...

Basic company facts: *Name of the firm: Britannia *Category of the firm: FMCG *State of incorporation: Kolkata, West Bengal, India. *Year of foundation: 1918 *Primary & secondary SIC codes: N/A *Independent auditor: BSR & Co *Shares listed in: Bangalore stock exchange, national stock exchang...

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. The motion of a particle connected to a spring is described by x 10 cos...

. The motion of a particle connected to a spring is described by x 10 cos (2m). At what time (in s) is the potential energy equal to the kinetic energy? a. 0 b. 0.125 c. 0.25 d. 0.50 e. 1.0...

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Q3Definitionofisomorphic Suppose that 2 and % are twO L-structures We will say that 2 and 2 are isomorphicDefinitionofisomorphism Wiite 2 = 9 if there is a bijection i 4+ B such that for each constant symbol â‚¬ of L i(e") for each n-ary funetion symbol f and for cach (1, (n â‚¬A,i(f" (a1, = (("n ' (i(a1) i(an)) ; and for each n-ary relation symbol R in L (01, @p ) RA if and only if (i(a1_ i(an)_ R2 The function is called an isomorphism.Let (Z,0,1, <); (0,0,1, <) and (R

Q3 Definitionofisomorphic Suppose that 2 and % are twO L-structures We will say that 2 and 2 are isomorphic Definitionofisomorphism Wiite 2 = 9 if there is a bijection i 4+ B such that for each constant symbol â‚¬ of L i(e") for each n-ary funetion symbol f and for cach (1, (n â‚¬A,i(f&...

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You must use u-substitution 0n the following what should be. integral. do not want the answer , [ only want f(r+ 6)Vz2+i2rdr:

You must use u-substitution 0n the following what should be. integral. do not want the answer , [ only want f(r+ 6)Vz2+i2rdr:...

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2. {20 points) The Bernoulli pclyncmials have the following recursive definiticn: Bo(z) : : 1, B (z) = n . B,--(r}, and J B(r)dr = 0 Use FTC I to find Bi(z), Bz(r) , Bz(z} , and B(1} .(6) Use FTC ]to show that 8,(0} = B,(1) fcz &ny positive integer

2. {20 points) The Bernoulli pclyncmials have the following recursive definiticn: Bo(z) : : 1, B (z) = n . B,--(r}, and J B(r)dr = 0 Use FTC I to find Bi(z), Bz(r) , Bz(z} , and B(1} . (6) Use FTC ]to show that 8,(0} = B,(1) fcz &ny positive integer...

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J. The directional derivative of f(.Y) at P=(2.1) the direetion of " = 7' 1,(2,1) =1 what is f,(2,1)? Cirele your answer below.Df(2,1) = Jz.I(a) 1.(21)=}(b) 5.(21) =-}5,(2,1)=1+v2 (d) f,(2,1)=3 (e) 5.(2,1) =-1+ 2According to Lagrange Multiplier Theorem; at the solution point; the level curve ofthe furction f will be tangent t0 the level curve of the function g. Thus_ their gradients will te parallel at thet pcint, and so: %{ = AVgGiven the function f (x,y)-4r'+y +S2' with the

J. The directional derivative of f(.Y) at P=(2.1) the direetion of " = 7' 1,(2,1) =1 what is f,(2,1)? Cirele your answer below. Df(2,1) = Jz.I (a) 1.(21)=} (b) 5.(21) =-} 5,(2,1)=1+v2 (d) f,(2,1)=3 (e) 5.(2,1) =-1+ 2 According to Lagrange Multiplier Theorem; at the solution point; the leve...

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Emily Dorsey's current salary is $68,000 per year, and she is planning to retire 20 years...

Emily Dorsey's current salary is $68,000 per year, and she is planning to retire 20 years from now. She anticipates that her annual salary will increase by $3,000 each year ($68,000 the first year, to $71,000 the second year, $74,000 the third year, and so forth), and she plans to deposit 5% of ...

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You are an analyst for a venture capital fund. The firm you are valuing is expected...

You are an analyst for a venture capital fund. The firm you are valuing is expected to have free cash flows next year of $1,000, and they are expected to grow at 4% every year forever (if they survive). Further, using CAPM and accounting for the fees that your VC charges, the cost of capital for the...

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Cam I nava ctekt y rachon tune with my hila rzactons a child afkr ttäir day.I mink th stu baur adult aun faskr F Ceafidence tetervals For each sample, form . 95% oofdence ineerval for de mean uitg yo...

Cam I nava ctekt y rachon tune with my hila rzactons a child afkr ttäir day.I mink th stu baur adult aun faskr F Ceafidence tetervals For each sample, form . 95% oofdence ineerval for de mean uitg yor calcul"r Which method will you use? De you know the population standard devistsion? iee C ...

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Use the formula, C,V, CVz . with C1 and Cz the concentrations of the solution (before and after the dilution) and Vi and Vz the corresponding volumes of the solution to calculate the volume of the solution obtained when 280 mL of 369 salt solution diluted t0 solution wth the concentration of 24% salt:

Use the formula, C,V, CVz . with C1 and Cz the concentrations of the solution (before and after the dilution) and Vi and Vz the corresponding volumes of the solution to calculate the volume of the solution obtained when 280 mL of 369 salt solution diluted t0 solution wth the concentration of 24% sal...

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Can you also show how to do this on excel? Costco installs automobile tires on a...

can you also show how to do this on excel? Costco installs automobile tires on a first-come first-serve basis. The total time a customer needs to wait for the installation to be completed follows the normal distribution with a mean time of 106.3 minutes and a standard deviation of 18.5 minutes. What...

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