Differentiate. y = In (4x² - 7x+5) y' =0

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A: (a) f(x)=arcsin⁡(x)

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A: According to our guidelines, we can answer only first question (due to multiple questions). Kindly…

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A: Suppose that a forest fire starts at point P and spreads in every direction at a speed of 30…

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A: Given that an ant who is crawling on the ground has its position on time t is given by

Q: (a) ㎡(c) = = (x) (9)

A: Since you have asked multiple sub parts in a single request so we will be answering only first three…

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Q: Question 10 What is the 14th derivative of 2 sin(x)? O 2 cos(x) O-2 sin(x) O2 sin(x) O-2 cos(x)

A: Y= 2sin (x)

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A: Given, x =9-t2y = t3-12t

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Q: Find the values of the other trigonometric functions given the following conditions.  a. sin theta =…

A: Find the values of the other trigonometric functions given the following conditions. a. sin theta =…

Q: Find the length and direction of u x v. u=4i+2j+8k, v=-i-2j-2k

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Q: Set up, but do not evaluate, an integral for area of the surface obtained by rotating the curve…

A: To set up, but not to evaluate, an integral for the area of the surface obtained by rotatng the…

Q: 8 3 Evaluate S -dx. 10 9x 4

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A: The profit function:The marginal profit function can be calculated by the differentiation of the…

Q: Find the derivative for each of the following inverse trig. functions. (a) dª arctan(7x) = dr (b)…

A: We know,

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Q: Find f. f'(t) = 8 cos t + sec²t, -π/2 < t < π/2, f(π/3) = 2

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Q: Find where y is defined as a function of a implicitly by the equation below. 3 da 3y² - 5y-1 = r² =…

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Q: Let L be the line segment between (1, 2) and (4, -4). Find the area of the surface generated when L…

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Q: 75. g(t) = 3t5 - 30t4 + 80t³ + 100

A: we need to find the concavity of the function. given function

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Q: Set up the definite integral required to find the area of the region between the graph of y = 16 -…

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Q: Find the total differential dz for the function F(X₂X) = √√3x +/² and dy = 0.01 compare the values…

A: As per the company's guidelines, we are supposed to answer the first question for you, Kindly repost…

Q: Q8 Find the set of intervals for the following functions (a) f (x) > 0 (b) f(x) = 0 (a) f(x) < 0 (b)…

A: we are given graphs of wo functions and we are to find on what intervals are those functions…

Q: Let f be a differentiable function. We are given the following values of ƒ and x |ƒ(x)|ƒ'(x) 4 16 36…

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Q: A spherical tank with a radius of 3 meters is half-full sitting on the ground. Set up an integral…

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Q: The function f(x) = −2x³ – 19.08x² +70.179x - 3.59 is increasing on the open interval ( ). It is…

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Q: The function y=x² − 3x² +4 has an x intercept at:

A: Consider the function

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Q: Use the arc length formula to find the length of the curve y = 7 − 4x, −1 ≤ x ≤ 2. Check your…

A: The objective of the question is to evaluate the arc length of the given function over the asked…

Q: How do I prove, |3- x/3| 9 (1 - x/3x)=-2

A: If is a function and then we say  if for any  there is  such that .

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Q: 1. Verify y(x)=c, sin x + c₂ cos x −(cos x)In(secx+tan x) is a solution to y" + y = tanx.

A: Question No. 1: To verify that  is a solution to .Note: Since the student has posted multiple…

Q: Use the second derivative test to find the x-coordinates of all local minima given the following…

A: The given function is

Q: Express the given equation into the exponential form and then solve for x. log2 (5x - 10) = 3

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Q: If f(x)=x² [f(x)]³=2x-8 and f(1) = 2, find f'(1).

A: we are given the equation, and we need to find the value of f'(1).

Q: 5. Given: y = cos(x), x =,dx = −0.02 (a) Find the differential dy. (b) Evaluate dy for the given…

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Q: 6. Newton's Law of Gravitation says that the magnitude F of the force exerted by a body of mass m on…

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Q: Lets just say for a question similar, how do I know what numbers to plug in for a valid graph?

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Q: How long will it take to double an investment at 5.3% compounded continuously? Round your answer to…

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Q: A ball is thrown downward from the top of a 20 m tall building with an initial velocity of 15 m/s.…

A: Given that height of building is 20m. And initial velocity is 15m/s. We find the equation of height…

Q: Inx for all x > 0. The derivative of fis given by x 2. Let f be the function given by f(x) = f'(x)=-…

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Q: Compute the Taylor polynomial of degree 4 for g(x)=cos x centered at x=0.

A: To compute the Taylor polynomial of degree 4 for  centered at .