Find the derivative.f(x) = 

A. f'(x) = x8/7
B. f'(x) = x-6/7
C. f'(x) = - x-8/7
D. f'(x) = 6(6)


Answer: B

Mathematics

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Evaluate the surface integral of the function g over the surface S.G(x, y, z) = x + z; S is the surface of the wedge formed from the coordinate planes and the planes  and y = 2

A. 45 + 18
B. 36 + 6
C. 36 + 18
D. 27 + 18

Mathematics

Graph the quadratic function. Determine the vertex, find the equation of the axis of symmetry, find any x- and y-intercepts, and state the domain and range in interval notation.f(x) = -x2 + 2x

A. vertex: (1, 1)
axis of symmetry: x = 1
x-intercepts: 0 and 2; y-intercept: 0
domain: (-?, ?); range: (-?, 1]
 
B. vertex: (-1, 1)
axis of symmetry: x = -1
x-intercepts: 0 and - 2; y-intercept: 0
domain: (-?, ?); range: (-?, 1]
 
C. vertex: (1, -1)
axis of symmetry: x = 1
x-intercept: none; y-intercept: -2
domain: (-?, ?); range: (-?, -1]
 
D. vertex: (-1, -1)
axis of symmetry: x = -1
x-intercept: none; y-intercept: -2
domain: (-?, ?); range: (-?, -1]

Mathematics

Use the figures to answer the question.Name the figure which is a fraction strip depicting .

A. Figure 10 B. Figure 5 C. Figure 11 D. None of these

Mathematics

Express the exercise as a system of linear equations, then find the solution. Use a calculator where appropriate.Jarod is having a problem with rabbits getting into his vegetable garden, so he decides to fence it in. The length of the garden is 7 feet more than 4 times the width. He needs 64 feet of fencing to do the job. Find the length and width of the garden.

A. length: 52 ft; width: 11 ft
B. length: 27 ft; width: 5 ft
C. length: 23 ft; width: 4 ft
D. length: 31 ft; width: 6 ft

Mathematics