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##### Mark all answers which are correct for each of the following questions No justification is requircd. (4 points) If M i8 a 7 x 9 matrix; then what is the smallest possible dimension of the null space of M?B. C. D.points) Calculate the area of the parallelogram with vertices (0,0) , (2,6), (11,8) , and (9,2) 52 B. 100 C. 50 D. 49points) Find all the values of h such that the vectorwill be in the subspaceof R3 spanned by V1, V2, V3 if V1 =V2 =all h+-10 h =-12 C. h =-10 D. h =-10 or h = 0

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##### 3. A tall cup of diameter D is partially filled with a liquid with the refraction index t0 height of Hwater. A student looks downward just over the left rim of the cup at an angle â‚¬ with the water' s surface. At this angle, the refraction of light at the water's surface just barely allows her to see the bottom-right corner of the cup. sketch of the path of light is shown at the right; Derive the formula for the height of the cup Hewp. Calculate its 1.33 (water), D = 14.64 Cm, Hwater

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Questions Describe how you could tell if a colorless CO;: Renlaccmenl Rcactions (C [-5k detcnmine Ine Icplceineni From the results olthc Sugle cuppcr Mvci hydfogen} Wcite the CIcmeLS involyed serics for the clemcnt first and Ihe least uclive clement Iast series giving the most active Moct reactive L...