Use the graph of y = f(x) to find the limit.
f(x) 
A. ?
B. 2
C. 3
D. -2
Answer: B
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Find the gradient field of the function.f(x, y, z) = ex4 + y3 + z6
A. ?f = x3ex4 + y3 + z6i + y2ex4 + y3 + z6j + z5ex4 + y3 + z6k B. ?f = 4x3ex4 + y3 + z6i + 3y2ex4 + y3 + z6j + 6z5ex4 + y3 + z6k C. ?f = x4ex4 + y3 + z6i + y3ex4 + y3 + z6j + z6ex4 + y3 + z6k D. ?f = 4x3ex4i + 3y2ey3j + 6z5e z6k
Write the expression in simplest form. If a radical appears in the denominator, rationalize the denominator.
A. 
B. 
C. 
D. 
Solve the problem.The radius of a ball is claimed to be 4.5 inches, with a possible error of 0.05 inch. Use differentials to approximate the maximum possible error in calculating the volume of the sphere and the surface area of the sphere.
A. 1.8? in.3; 4.05? in.2 B. 0.9? in.3; 18? in.2 C. 4.05? in.3; 1.8? in.2 D. 8.1? in.3; 3.6? in.2
Provide an appropriate response.When using the declining balance method, the amount of depreciation is calculated by the depreciation rate:
A. times the book value at the beginning of the year B. times the accumulated depreciation at the end of the year C. divided by the book value at the beginning of the year D. plus the book value at the end of the year