Use the product rule to simplify the expression.
? 
A. 14
B. 14
C. 14
D. 14x2
Answer: A
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Find the gradient field of the function.f(x, y, z) = ln (x8 + y3 + z3)
A. ?f = 
i + 
j + 
k
B. ?f = 
ln ( y3 + z3)i + 
ln (x8 + z3)j + 
ln ( x8 + y3)k
C. ?f = 
i + 
j + 
k
D. ?f = 
i + 
j + 
k
Provide an appropriate response.Use a calculator to graph the function f to see whether it appears to have a continuous extension to the origin. If it does, use Trace and Zoom to find a good candidate for the extended function's value at x = 0. If the function does not appear to have a continuous extension, can it be extended to be continuous at the origin from the right or from the left? If so, what do you think the extended function's value(s) should be?f(x) = 
A. continuous extension exists from the right; f(0) ? 2.1976 B. continuous extension exists at origin; f(0) ? 2.1976 C. continuous extension exists from the left; f(0) ? 2.1976 D. continuous extension exists at origin; f(0) = 0
Solve the problem.A certain radioactive isotope decays at a rate of 2% per 100 years. If t represents time in years and y represents the amount of the isotope left then the equation for the situation is 
In how many years will there be 93% of the isotope left?
A. 700 yr B. 350 yr C. 363 yr D. 253 yr
Reduce the fraction to simplest form.
A. Cannot be simplified
B. r - s
C. 
D. r + s