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##### Evaluate the integral. (Remember to use absolute values where appropriate Use for the constant of integration.)"1)(x? + 9)

Evaluate the integral. (Remember to use absolute values where appropriate Use for the constant of integration.) "1)(x? + 9)...

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##### (1) We consider the vector fieldF(T,y) (2c8 _ y_ r+y) .a) Verify Green's Theorem for this vector field F and for the case where D is the unit disc, i.e. check thatJL (2 OFi Jov F ds = dx dr dy_ dyb) Verify Green 's Theorem for this vector field F and the case where D is the annular region a < 12 + y2 < b with 0 < a < b.

(1) We consider the vector field F(T,y) (2c8 _ y_ r+y) . a) Verify Green's Theorem for this vector field F and for the case where D is the unit disc, i.e. check that JL (2 OFi Jov F ds = dx dr dy_ dy b) Verify Green 's Theorem for this vector field F and the case where D is the annular reg...

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##### Grear Tire Company has produced new tire with an estimated mean lifetime mileage 35,500 miles Management also believes that the standard deviation is 4,500 miles and that tire mileage is normally distributed. To promote the new tire, Grear has offered to refund some money if the tire fails to reach 30,000 miles before the tire needs to be replaced: Specifically; for tires with lifetime below 30,000 miles, Grear will refund customer per 100 miles short of 30,000.For each tire sold, what is the av

Grear Tire Company has produced new tire with an estimated mean lifetime mileage 35,500 miles Management also believes that the standard deviation is 4,500 miles and that tire mileage is normally distributed. To promote the new tire, Grear has offered to refund some money if the tire fails to reach ...

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##### Electrons and nucleons in body Estimate the total number of (a) nucleons and (b) electrons in your body. (c) Indicate roughly the volume in cubic centimeters occupied by these nucleons.

Electrons and nucleons in body Estimate the total number of (a) nucleons and (b) electrons in your body. (c) Indicate roughly the volume in cubic centimeters occupied by these nucleons....

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##### In Problems 13-36 use Theorem 7.2 to find S{f(t)}: I: J " 15. f(t) 41 10 16. f(t) = 7t + 3 17. f(t) =/ + 6t _ 3 18. f(t) = -4r? I6t + 9 19. f(t) = (t + 1)' 20. f(t) = (2t T) 21. f() = 1 + 2# 22. f(t) =/ - e-9 + 5 23. f(t) = (1 + e22 24. f(t) = (e' - e) 25. f(t) = 4t? _ 5 sin 3t 26. f(t) cos St + sin 2t 27. f(t) sinh kt 28. f(t) cosh kt 29. f(t) = elsinh ( 31. f(t) sin 2t cos 2t *32. f(t) costtCnc134. f(t) = sin / sin 2t 35. f(t) = sin ( cOS 2t [Hint: Examine sin(ti * 6).]

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##### In polar coordinates, the formula for the vertical vorticity can be written as: due 1 dur S + "e , dr 00 where r is the distance from the origin, which is where the vortex center is placed. Now consider a vortex, whose inner part (r < ro) is in solid body rotation with angular velocity n, and its otter part (r > To) has tangential velocity ue Arz , Here, Uz is assumed to be 0, and 0 = 10-5s-1. Plot in the figure blow % as a function ofr.2.5rradius (r)2

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##### Consider a 5 year MACRS depreciating asset (see page 318 in your book for the table)....

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##### You want to compute the following limit.lim t-0 5 _ V25 + 3tWe consider the function defined by f(t) for t # 0. V25 + 3t a) Rationalize f(t) and simplify the result to put it in the exact form f(t) = A+ BVC , where the values or polynomials A,B and C (none of them includes "sqrt") are:B =andUsing your simplified form of f(t) compute the limit:lim t7,0 5 - v25 F3t

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Please answer ASAP Question 3: The input signal m (t)-2cos(4000π) and the carrier signal is 100 cos(100Km). Determine and plot the spectrum using AM traditional modulation...

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##### Q.2 Suppose f(xy) satisfies the basic existence and uniqueness theorem in some rectangular region Rof the- xy = plane Explain why two distinct solutions of the DE y = f(xy) cannot intersect or be tangent to each other at a point (xo. Jo) eR

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##### Find vector equation and parametric equations for the line (Use the parameter t) The line through the point (0, 13_ -11) and parallel to the line -1+4,Y = 6 _ 3t,2 = 3 + 6rr(t)(x(t) , y(t) , z(t))

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6.Find the dimensions ofa rectangle with perimeter 10m whose area is as large as possible (10 points)...

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K6 in Problem 5. The built up section consists of 3 pieces of timber nailed together. The nails can resist shear forces of 125 lb. The bottom timber has actual dimension of 2 in. x 4 in.; the web member (vertical) has actual dimensions of 2 in. x 8 in.; and the top member has actual dimensions of 2 ...

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##### HA is a weak acid. Its ionization constant, Ka, is 2.4 x 10-13. Calculate the pH...

HA is a weak acid. Its ionization constant, Ka, is 2.4 x 10-13. Calculate the pH of an aqueous solution with an initial NaA concentration of 0.046 M....

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##### Onsider the sampling and reconstruction system shown in the figure. x(t) IdealIdeal) D-to-C Converter Converter Assume...

onsider the sampling and reconstruction system shown in the figure. x(t) IdealIdeal) D-to-C Converter Converter Assume that the sampling rates of the C-to-D and D-to-C converters are equal, and the input to the Ideal C-to-D converter is x(t) = 2 cos (2m(50)t +π) + cos(2π(150e) a. (5) If the ou...

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##### The table gives the cumulative sales of iPods since their introduction.Cumulative iPod SalesSalesYear(million iPods)20030.3220044.736200529.633200669.2422007119.1722008173.7(a) Find the function for the quadratic model that gives sales in million iPods, where x is the number of years after 2003, with data from 0 <X < 5_ (Round all numerical values to three decimal places:) s(x) 10.241x2 5.825x + 0.32 million iPods(b) Write the derivative for the sales model_ (Round all numerical values to

The table gives the cumulative sales of iPods since their introduction. Cumulative iPod Sales Sales Year (million iPods) 2003 0.32 2004 4.736 2005 29.633 2006 69.242 2007 119.172 2008 173.7 (a) Find the function for the quadratic model that gives sales in million iPods, where x is the number of year...

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##### Sue Bird ol the WNBA Seattle Storm makes 397 of her three Mnt chons MmDunInI gurne , she shxKots fvur three-point shots late in the gume and misses all of them: The fans think she Was nervous, but the misses Iay simply be chimce: Lets , shed some light by estimating probability:Simulate 50 repetitions of the lour three-poimt shots and record Ule number missed each repetitit- Use Table Sturting at Line 135. Use the probubility assignnient whtere (M) [o 38 represemts successlul free-throw. und 39

Sue Bird ol the WNBA Seattle Storm makes 397 of her three Mnt chons MmDunInI gurne , she shxKots fvur three-point shots late in the gume and misses all of them: The fans think she Was nervous, but the misses Iay simply be chimce: Lets , shed some light by estimating probability: Simulate 50 repetiti...

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##### Brief Exercise 2-6 Marquis Company estimates that annual manufacturing overhead costs will be $869,440. Estimated annual...

Brief Exercise 2-6 Marquis Company estimates that annual manufacturing overhead costs will be $869,440. Estimated annual operating activity bases are direct labor cost $494,000, direct labor hours 49,400, and machine hours 98,800. Compute the predetermined overhead rate for each activity base. Show ...

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##### RnairiSMidQucstion %0Z2t9wyhich of the following matched pairs = name and formula has an error?ExrmulaNameHzCO,crbonic acidHzSO3eulfurous acidHNO3nitric acidHCIOz HBrOjhypochlorous acid bromic acid

Rnairi SMid Qucstion %0 Z2t9 wyhich of the following matched pairs = name and formula has an error? Exrmula Name HzCO, crbonic acid HzSO3 eulfurous acid HNO3 nitric acid HCIOz HBrOj hypochlorous acid bromic acid...

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##### 1) Use the national income identity (S-1) = (G + TR - TA) + (X-M) to...

1) Use the national income identity (S-1) = (G + TR - TA) + (X-M) to answer the following questions as true, false or uncertain and justify your answer. a). If the budget deficit is positive, imports are likely to increase more than exports. (8 points) b) If the budget deficit decreased by $15 billi...