Solve the problem.Suppose that z varies jointly with x and y and that z = 343 when x = 7 and 
Find the constant of proportionality k. Then, find z when x = 7 and y = 8.
A. k = 2.9; z = 162.4
B. k = 33,614; z = 
C. k = 3.9; z = 218.4
D. k = 3.5; z = 196
Answer: D
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Find the unit tangent vector of the given curve.r(t) = (9t cos t - 9 sin t)j + (9t sin t + 9 cos t)k
A. T(t) = (-9 sin t)j + (9 cos t)k
B. T(t) = - 
(sin t)j + 
(cos t)k
C. T(t) = (9 cos t)j - (9 sin t)k
D. T(t) = (-sin t)j + (cos t)k
Solve the problem.How long will it take for prices in the economy to double at a 9% annual inflation rate? Round to the nearest hundredth.
A. 8.04 years B. 23.45 years C. 7.27 years D. 12.75 years
Divide and write the answer in the form a + bi. Let z = 2 + 2i and w = 3 - 3i. Find 
.
A. 
+ 1i
B. 1 + 1i
C. 
- 
i
D. 
+ 
i
Perform the requested composition or operation.Find (g ? f)(-9) when f(x) = 6x - 1 and g(x) = -8x2 + 7x - 1.
A. 54 B. -4273 C. -24,586 D. 47