If f(4)= 3 and f'(4) = –5, find g'(4) when g(x)=² (4) Your answer

Q: c. Given f(x)= /x+1 and g(x)= x² + 4x, find :)(x) and write the domain of )(x) in interval notation....

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Q: Find a root of the function f(x) = csc(3x-4) + In(x-2) - 3 from x = 5.7 to 6 using any bracketing me...

A: This question can be solved by the help of bisection method.

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Q: If the base b of a triangle is increasing at a rate of 3 inches per minute while its height is decre...

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Q: Find the particular solution that satisfies the differential equation and the initial condition. f'(...

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Q: 2/3 Q31 3x-2x, [-1,1] =3(x)-2 2- -1/3 -1/3 2x 2(x"?-1)=0 -1/3

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Q: Find the indefinite integral and check your result by differentiation. (Use C for the constant of in...

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Q: Use the given transformation to evaluate the given integral, where R is the triangular region with v...

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Q: Write z, and z, in polar form. Z1 = 7 + 7i, z2 = 4 21 = Z2 Find the product z122 and the quotients 2...

A: Since you have asked multiple part question, we will solve the first 3part of the question for you a...

Q: If $P is invested for n years at 12% compounded continuously, the future value that results after n ...

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Q: Find the indefinite integral. (Use C for the constant of integration.) sin3 50 v cos 50 de

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Q: 1. Calculate the area enclosed by the line y 2x + 3, the x-axis, and the lines x 1 and x- 3.

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Q: For the demand function q = D(p) = 357-p, find the following. a) The elasticity b) The elasticity at...

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Q: E Q4) Evaluate cach of the following: 1- Prove lim sin3xcot5x X-0 xcot4x 2- Find dx Zx+3/ 3- Find (V...

A: Questiion 1,Given,            limx→0sin3xcot5xxcot4x=125To find : To prove the limit.

Q: Determine the I coordinate of the centroid bounded by curves of the polynomial functions y = r* – x ...

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: A spherical balloon is inflated with gas at a rate of 800 cubic centimeters per minute. (a) Find the...

A: We will find the rate of change of radius. 

Q: 4) Find 2 5(5-3)

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Q: (a) P(blue, then red) (b) P(clear, then clear)

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Q: 00 (2x -3) For what values of x does the series converge? n! n=0 x = only B 1< x < 2 only 1<x < 2 on...

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Q: 9. xy' + y = /x 10. y' + y = sin(e*)

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Q: Given that f(−9) = −9 and f'(9) = 2, approximate

A: Given query is to find the value do the function at indicated point.

Q: (a) Find the differential dy of y= /4+ 5x. (b) Evaluate dy for æ = 0, dx = .04. (a) dy dx (b) dy =

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Q: All edges of a cube are expanding at a rate of 8 centimeters per second. (a) How fast is the volume ...

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Q: The graph of the following function has two slant asymptotes. y = v 25 + 16x2 Find the equation of e...

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Q: Given the function f(n) = 2n - 6n³ – 8n? its f-intercept is its n-intercepts are Question Help: D Vi...

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Q: Find a particular solution y, of the differential equation: 2y" + 4y' + 7y = x2

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Q: Determine the x- and y-coordinates of the centroid of the shaded area. Assume c = 9, a = 1.15, b = 2...

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Q: 1 Evaluate J (37 + x°) dx

A: On solving this integration we will get

Q: dy – 4y = x*e* 12. x- dx

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Q: Velocity If a stone is thrown down at 100 ft/s from a height of 1,400 feet, its height after t sec...

A: A stone is thrown down at 100 ft/s from a height of 1,400 feet, its height after t seconds is given ...

Q: Use špheričal čoördiñatės. Evaluate tet dv, where E is the portion of the unit ball x2 + y² + z² s 1...

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Q: Find the volume of the solid generated by revolving the area bounded by the given curves about the i...

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Q: The rose r = asin 30

A: Solution is given below:

Q: Find all numbers x such that the series n=1 converges!

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Q: Evalnate the fo llowing limits 1. lim 4x-5x+1 メ→ -4x? 2. lim I x²+5x -6 X- 4 lim (1x-7)* 3. 2.

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Q: 4x2-16 Write the value of lim 2 x-2

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Q: Given g(x) ニ X-1

A: We know that, g'(x)=limh→0g(x+h)-g(x)hHere g(x)=1x-1Therefore g(x+h)=1x+h-1Thereforeg'(x)=limh→01x+h...

Q: At which value/s of x does the graph of y=x' - 6x +9x- 2 have a horizontal tangent line? Write the v...

A: In this question, we need to find the values of x in which the given graph has a horizontal tangent ...

Q: Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = x3 ...

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Q: The spread of a virus can be modeled by the following function where N is the number of people infec...

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Q: 3 Let f be a function with third derivative f (x) = (4x + 1) 7. What is the coefficient of (x – 2)* ...

A: Explanation of the answer is as follows

Q: Consider f(x)=tanx a. Find the linear approximation of f(x) at a=pi/4 b. Use this to estimate tan(...

A: This question can be solved using the formula of linear approximation.

Q: K-State hires a landscape architect to build a garden on campus. The rectangular garden is to be enc...

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Q: What

A: We will find sine and cosine values for given angle. 

Q: If $P is invested for n years at 12% compounded continuously, the future value that results after n ...

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Q: 2. f (x) - 2x2 if メくQ 2- メ if x 2 2

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Q: - Trig Sub x5 dx (36x2 + 1)ž

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Q: nclude spaces in between 5. d te In (In y)) at y dy

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Q: 10. The line y = 5x – 5 is tangent to the graph of f (x) = (x + k)(x² – x) at the point where x = 1....

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Q: Evaluate the fo llowing limits lim x8 + 7x + 9x-4x² +2 Xヨ-0 x4 - 4 y5 - 3x*-6x +4 2x2-8x +7 suppose ...

A: 1) To evaluate:  limx→-∞x8+7x6+9x5-4x2+2x4-4x5-3x2-6x+4 Dividing numerator and denominator by x4, we...