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

Mathematics

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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

Mathematics

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

Mathematics

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

Mathematics

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

Mathematics