2) Given the following: f(2)=5, f(5)= 7, f'(2) = a, and f'(5) = b b) What is (f¹)'(5)? Show work.

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Q: x² + y² + z ² = 4 => Z = √√√4-X²2²_- y² 器 23²³² = √4-x²-x2² , -Y 1 然 ³4 "√4-x²-y² ay x² + y²2y =…

A: Note:- you are have non calrityvabkur symmetry kgmf function. By clearing it i have solved it.

Q: Find the average value of the function y = 35 - 2x on the interval [0, 4]. O 31 10 O 20 O None of…

A: The Answers are given below

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A: We have to find the derivative using chain rule.

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A: NOTE: Refresh your page if you can't see any equations. . the coordinate of v1 and v2 are

Q: In step 3, how did you know to use yp = ( 1 / (D^2 + 9) ) 4sin(2x)?

A: The given initial value problem y''+9y=4sin(2x), y0=1, y'0=1. We have to find the solution of the…

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Q: Find the length of the curve y = In (5 sec x) from 0sxs; 3 T Set up the integral that gives the…

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Q: Consider two nonnegative numbers x and y where x + y = 2. What is the maximum value of 11x²y? Enter…

A: Let's find maximum value of function.

Q: Find the linear approximation of f(x) L(x) = -7x = 9e at x = 0. Then use your linear approximation…

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Q: Let f(x) = 2x + x 100

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Q: Consider the following. 8 [²x³ dx r8 Rewrite the integral ¹11° (x x³ dx = 1,020, • 8 8 8 0 [*(x -…

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Q: fix√x²+2x+5dx

A: To evaluate the following integral. ∫13xx2+2x+5 dx

Q: Differentiate each function below. Be sure to use proper notation to distinguish between a function…

A: The given function is  y=ecx3+1

Q: Evaluate the integral using the following values. 8 ["x² dx = 960, ["x ax = 24, ["ax=4 dx dx J4…

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Q: a. Evaluate b. Evaluate X √√x+2 X dx using integration by parts. dx using substitution. √√x+2 c.…

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Q: Evaluate the integral using the following values. [² x³ dx = 1,020, 8 8 √³x dx = 30, [°dx = 6 [" (ex…

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Q: + 33 - dx 1 + 2x³

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Q: Consider two nonnegative numbers x and y where x + y = 12. What is the minimum value of 15x² + 11y?…

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Q: Evaluate the following integral. csc 4x 2 cot x csc 4x CSC 2 cot x dx dx =

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Q: Differentiate each function below. Be sure to use proper notation to distinguish between function…

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Q: [D^2-1]y = 10(cos^2)(x)+4e^x solve using method of undetermined coefficients

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Q: mange the point (-2,2, from rectangular to cylindrical coordinates and spherical coordinates. √²-25²…

A: Given ;  Point = (-2,2,1).

Q: Find the equation of the tangent plane to at the point (0, 5, 34). z = z = e² + y + y² +3

A: The given equation is; z=ex+y+y2+3 Point (0,5,34).

Q: Calculate the limit for the function f(x) = x + 4 over the interval [0, 4]. Verify your answer by…

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Q: When coughing, the windpipes contract to increase the velocity of air passing through the windpipe…

A: We need to find out the v'(r), value of r that maximizes the velocity of air and v(rmax).

Q: 2) Given the following: f(2)= 5, f(5)= 7, f'(2) = a, and f'(5) = b a) What is f-1(5)?

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Q: Question 4 Your answer is CORRECT. Suppose that f is a differentiable function of x and y such that…

A: We have to find if (0,0) and (1,1) are saddle point or extreme points.

Q: (b) You are given the point (-2, π/4) in polar coordinates. (i) Find another pair of polar…

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Q: _ƒ(x) = 2 sin X at x = 0.

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Q: 2 y² = 2x - 2, y = x - 5

A: For each item, use Desmos to graph the given equations and shade the plane region bounded by the…

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Q: Compute the gradient of the following function, evaluate it at the given point P, and evaluate the…

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Q: h(x, y) = (2x sin(y)-e) i + ² cos(y) j r(u) = cos(u)i +2uj u = [0, π] E

A: h (x, y) = (2xSin(y) - ex) i + (x2 Cos(y)) j Differentiating the 1st part of the above equation with…

Q: We conclude by showing the max and minimum points. maximum (2,26) minimum (1,1) maximum (-2,-26)…

A: d dx(xn)=nxn-1for critical points  put f'(x)=0fot critical values of x  if  f''(x)>0  minimum and…

Q: Calculate the gradient of f(x, y) = cos(x² + 3y) Vf= A

A: To calculate the gradient of the function.

Q: Evaluate dy and Ay for the function below at the indicated values. y=f(x) = 75 (1-2); x = 5, dx= x=…

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Q: What is the area under the graph of y = f(x) = x2cos(x3) and above the interval [0, T]. 7 = 180 180…

A: To find area under the curve.

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A: The radius of a circle increases at a rate of 2 m/ sec. Find the rate at which the area of the…

Q: Try again Practice similar r answer is incorrect. 2 attempts remaining. the equation of the tangent…

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Q: Use the Midpoint Rule with n = 4 to approximate the area of the region bounded by the graph of the…

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Q: 2x³ + 3x² √1+2x3 dx 2.S 2²/1

A: I = 2∫  2x^3 + 3x^21 + 2x^3dxI = 2∫  2x^3 1 + 2x^3dx + 2∫   3x^21 + 2x^3dxI = 43∫  x . 3x^21 +…

Q: A juice company has found that the marginal cost of producing x pints of fresh-squeezed orange juice…

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Q: x dy

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: The principal argument of the complex number −9+2j (rounded to the nearest degree) is equal to: 76°…

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Q: Find at least 10 partial sums of the series. (Round your answers to five decimal places.) n 1 2 3 4…

A: Sum of GP

Q: Use the Integral Test or a p-series to determine the convergence or divergence of the series. 1 Στη

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Q: The value of the following limit is -1 None Undefined 0 1 +∞ fin(n+¹) coth x dx limn→+∞ Jin n

A: