Provide an appropriate response.If g(x) = 2f(x) + 3, find g '(4) given that f ' (4) = 5.
Fill in the blank(s) with the appropriate word(s).
g '(4) = 10
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Use the dot product to determine whether the vectors are parallel, orthogonal, or neither.v = 4i + j, w = i - 4j
A. orthogonal B. parallel C. neither
Solve the combined inequality. Write the solution in interval notation.-6 < 5x + 4 ? 14
A. [-2, 2) B. (-2, 2) C. [-2, 2] D. (-2, 2]
Convert. When necessary, round the answer to two decimal places.10,500 pounds = ____ tonsGive your answer as a mixed number.
A. 10
B. 5
C. 4
D. 7
Solve the problem.A company estimates that its sales will grow continuously at a rate given by the function where S'(t) is the rate at which sales are increasing, in dollars per day, on day t. Find the sales from the 2nd day through the 8th day. (This is the integral from 1 to 8.)
A. $2978.24 B. $44,714.37 C. $20,866.71 D. $44,673.60