For the given function, find the requested relative extrema or extreme value.y = 3ex + xex; relative extrema
A. (3, 6e3), relative maximum
B. (-4, -e-4), relative minimum
C. (-3, 0), relative minimum
D. (4, 7e4), relative maximum
Answer: B
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Rearrange the following equation to solve for R.
ÚÄÄÄÄÄÄÄÄ Z = ûxL2 + R2 a. Z2 + xL2 b. (Z2 + xL2)1/2 c. ÚÄÄÄÄÄÄ ûZ + xL
Solve the problem.The table contains data that can be modeled by an exponential function of the form Use regression to determine an exponential function f that models this data. Round the coefficients to the nearest hundredth.
A. f(x) = (567.57)(0.17)x B. f(x) = (1.09)(527.34)x C. f(x) = (0.17)(567.57)x D. f(x) = (527.34)(1.09)x
Perform the indicated calculation. Express your answer using scientific notation.(3 × 105)(7 × 108)
A. 21 × 1014 B. 2.1 × 1014 C. 21 × 1040 D. 2.1 × 1013
Solve the problem.The graph shows the amount of potential energy V(x) (in arbitrary energy units) stored in a large rubber band that is stretched a distance of x inches beyond its relaxed length.The magnitude of the force required to hold the rubber band at the position
is the derivative of the potential energy with respect to x, evaluated at the point
Estimate the force required to hold the band at a stretched
position (Hint: the force in this problem has units of "energy units per inch".)
A. 1.1 energy units per inch
B. 2.2 energy units per inch
C. -1.1 energy units per inch
D. 2.9 energy units per inch