The lengths of two vectors a and b, and the angle ? between them, are given. Find the length of their cross product, |a x b|. : |a| = 4, |b| = 5, ? = 60°
What will be an ideal response?
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Given y = f(u) and u = g(x), find dy/dx = f'(g(x))g'(x).y = tan u, u = -7x + 6
A. sec2(-7x + 6) B. - sec2(-7x + 6) C. -7 sec2(-7x + 6) D. -7 sec (-7x + 6) tan (-7x + 6)
Describe the transformations required to obtain the graph of the function f(x) from the graph of the function g(x).f(x) = -2 cos 
; g(x) = cos x
A. Horizontal shrink by a factor 
vertical shrink by a factor of 
, reflection across y-axis
B. Horizontal stretch by a factor 
, vertical stretch by a factor of 2, reflection across x-axis
C. Horizontal shrink by a factor 
, vertical stretch by a factor of 2, reflection across x-axis
D. Horizontal stretch by a factor 
, vertical stretch by a factor of 2, reflection across y-axis
Solve.
Find the volume.
A. 10.9 cm3 B. 24.18 cm3 C. 41.075 cm3 D. 203.67 cm3
Find the circumference and area of a circle having the given diameter or radius. Use 3.14 for ?. Round your results to the nearest tenth.d = 3
yd
A. C ? 11.0 yd, A ? 11 yd2 B. C ? 5.5 yd, A ? 22 yd2 C. C ? 5.5 yd, A ? 38.5 yd2 D. C ? 11.0 yd, A ? 9.6 yd2