Derivative of y = cos(x-1)/(x-1)

Mathematics

1 answer:

r-ruslan [8.4K]3 years ago

7 0

OK so we have a combination of trig functions, the quotient rule, and chain rule. How would we set this up using quotient rule to begin with?

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Distribute - 10 (1 + 3x).

Keith_Richards [23]

Answer:

10 + 30x

Step-by-step explanation:

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3 years ago

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A triangular bookself has a base of 10 inches,12 inches and 18 inches. Will the bookself fit in the corner of a square living ro

melisa1 [442]

Answer:

No, if fit means that the sides of the book case need to be flush with the wall, which means that the sides of the bookcase are touching the wall and the bookcase fits perfectly in that spot

Step-by-step explanation:

A square room will have corners that meause 90°, so we need to see if any of the vertices of the bookcase measure 90°. All right triangles have a 90° in them, so we can use Pythagorean Theorem to solve this.

Pythagorean Theorem is a² + b² = c², where a and b are the legs, and c is the hypotenuse. Since the hypotenuse is always the longest side, for our bookshelf, 10 and 12 are the legs, and 18 would be the hypotenuse if it is a right triangle. Plug the values in to see if the equation is true or false

10² + 12² = 18²

100 + 144 = 324

244 ≠ 324 so the bookcase does not form a right angle, and won't fit in the corner of the room

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3 years ago

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lora16 [44]

Answer:

$2x^3-3x^2-10x+15\\$

Step-by-step explanation:

To find (fg)(x), we have to look at f(x) and g(x) and multiply the two quantities together. We are already given the two quantities individually so all that is left is the multiplication:

$(fg)(x)=(-2x+3)(5-x^2)=-10x+2x^3+15-3x^2\\$