Find the derivative of the function by using the definition.y = 4 - 7x3

A. -21x2
B. -21x
C. 4 - 21x2
D. 4- 7x2


Answer: A

Mathematics

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Evaluate the line integral along the curve C.ds , C is the straight-line segment x = 0, y = 5 - t, z = t from (0, 5, 0) to 

A. 25
B. 0
C.
D. 25

Mathematics

Write the compound statement in words.Let p: People buy large houses.  q: Fossil fuels pollute the air.q ? p

A. Fossil fuels pollute the air and people buy large houses. B. People buy large houses and fossil fuels do not pollute the air. C. It is not the case that fossil fuels pollute the air and people buy large houses. D. Fossil fuels pollute the air or people buy large houses.

Mathematics

Factor by grouping.2y - 8 + xy - 4x

A. (x - 4)(y + 2) B. (y - 4x)(2 + x) C. (y - 4)(2 + x) D. (x - 4)(2y + x)

Mathematics

Solve the problem.A ladder is resting against a wall. The top of the ladder touches the wall at a height of 18 ft. Find the length of the ladder if the length is 6 ft more than its distance from the wall.

A. 24 ft B. 18 ft C. 30 ft D. 36 ft

Mathematics