Evaluate the following:' d/dx of x of upper intgral and 2 lower integral of (4t^2 + 5t^3) dt

Q: (4) By computing coefficients cn with center a = 0 establish that In(x + 1) = x − ² + ³ −²+.…... 2 3…

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Q: Question 3.1. In each case, use Integration by Parts to solve the indefinite integral and thus…

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Q: answer letter "b"

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Q: Find the critical numbers for f(θ)=7θ−2sin(7θ)+19 that give a local MAXIMUM value for f(θ). Please…

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Q: Find the values for m to which the function y y" - y' - 10y = 0 is a solution to the differential…

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Q: Find the derivative u sing the quotient rule. 2x² (3x-3) Y = dy 6x-12 dx (3x-3)² dy dx = dy 6x² 12x²…

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Q: dy Implicitly da Ody dx dy dx dy da dy da = = 1-2xy x² 1-2xy x 1-2xy x3 = 1 - 2xy x²y = x + 1

A: x2y = x+1  we have to find derivative  dy/dx = ? further calculation is given below

Q: (a) lim f(x) = 118 Given the graph of f (x) above, find the following limits. (b) -6 lim f(x) = -4…

A: From the graph of the function, f(x) grows without bound to either sides.

Q: 12. Use a half-angle identity to find the exact value of cos 165°.

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Q: Evaluate the limit, using L'Hopital's Rule. 1 (1 + x4) ² = lim x Number

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Q: Differentiate the following function: f'(x) = Part 2 - Evaluation 4T Evaluate the derivative you…

A: f(x)=3sinx+6cosx

Q: use Integration by Parts to solve the indefinite integral and thus evaluate corresponding definite…

A: To evaluate the given integral using integration by parts

Q: Differentiate y ' 1+ 1 ਕਲਿਜਲ z+Vi+va 1+

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Q: Problem 7: We want to build an open-top box with a square base having a volume of 4 ft³. The cost of…

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Q: J√cot3x csc 3xdx

A: To evaluate the given integral

Q: PMT= 585.05 Sammy borrowed $10,000 to purchase a new car at an annual inte 11%. She is to pay it…

A: NOTE: Refresh your page if you can't see any equations. . L=10000 (loan amount) r=11%=0.11 (interest…

Q: Let f(x) = 8x³ - 15x²-5, x21.5. Find the value of dx df The value of (Type a simplified fraction.)…

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Q: Find the local maximum and minimum values and saddle point(s) of the function. You are encouraged to…

A: To solve the following

Q: Find the angle of intersection of the two curves: C1: x12 = 12y C2: y2 = 9x

A: Angle of intersection = αtanα = | (dydx )1 - ( dydx )21 + ( dydx )1( dydx )2  |

Q: Solve the system. State whether the system is inconsistent or solutions. has infinitely many If the…

A: The objective is to find the solution of the linear system.

Q: Classify the following ordinary differential equation by ORDER and state the DEPENDENT and…

A: We know An differential equation involving derivatives of one or more dependent variables with…

Q: Apply L'Hôpital's Rule to evaluate the following limit. It may be necessary to apply it more than…

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Q: ÿ M J +.1.0. = 40.CO.sx...

A: We need to solve Differential equation.

Q: Use the change of variables x = 2u + v, y = u + 2v to compute the provided integral, where R is the…

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Q: Find an orthogonal basis for the column space of the matrix to the right. ... 1 -1 0 1 1 4 4 -4 1 4…

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Q: Question 3.4. Determine the following integrals lo 1 1³ +21²-52-6 dr

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Q: ad all possible f(x) such that f" (r) 3r7 25+ ²+1

A: Given query is to find the function.

Q: A sector of a circle has a diameter of 18 feet and an angle of Round your answer to four decimal…

A: Given query is to find the area of the sector.

Q: Find the indefinite integral. [Hint: Use some algebra first.) (Use C for the constant of…

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Q: It costs Charlie $7$⁢7 to build a certain birdhouse. He estimates that, if he charges x dollars per…

A: It costs Charlie $7 he charges x dollars per birdhouse selling price = x  he can sell 99−5x

Q: (2xy sin x + x²y cos x) dx + (x² sin x + 2)dy = 0; when x = 0, y = 4

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Q: What happens to the b+d on the bottom of the fraction?

A: We have to differentiate w.r.t. T  T.cb-da-adTb+d

Q: Solve the following trigonometric equation on the interval [0, 2π). Choose all correct answers.…

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Q: The height of an arch above the ground is given by the function y = 5sinx, for 0 ≤ x ≤n. What is the…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: If ƒ(2) = 15, f' is continuous, and = the value of ƒ(6)? 6 [ f'(x) dx = 11,

A: Given query is to find the value of f(6).

Q: Solve (y+1)y" = (y)²

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Q: Find the limit. Use l'Hospital's Rule where appropriate. It may be necessary to apply it more than…

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Q: If x² + xy + y³ = 1, find the value of y" at the point where x = 1.

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Q: A CD has diameter of 110 millimeters. When playing audio, the angular speed varies to keep the…

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Q: Find the indefinite integral. (Use C for the constant of integration.) dw

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Q: Define f(5) in a way that extends f(s) = f(5)= 3 s - 125 2 s² - 25 to be continuous at s = 5. (Type…

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Q: • ey dx = x² dy = 0 - dy dx (1 + x)dy - ydx = 0 = y² − 4, y(0) = −2

A: To find solution of given differential equations.

Q: Compute the integral with respect to x. v = 2 [3/-265) $1₁ = 2 [ ³ - * - * 1¹₁ Apply the limit value…

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Q: Use the given function and the given interval to complete parts a and b. f(x)=2x³-33x² +168x on…

A: Topic = Functions

Q: Suppose that f(x) (-4)= (2) = = x¹ + 4x³ − 1 - x² Evaluate each of the following:

A: Given query is to find indicated derivative.

Q: Question 7 > Let f be continuous on [1, 7] and differentiable on (1,7). If f(1) = 10 and f'(x) ≤ 13…

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Q: Find the function's absolute maximum and minimum values and say where they are assumed. f(x)=x…

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Q: Find lim f(x) and lim f(x) for the given function and value of c. x→c+ X→C f(x) = (x + 8) |x +4| C =…

A: The given function fx=x+8x+4x+4, we have to find the limit of f(x) at x=-4.

Q: Find the equation of the ellipse with the given properties: Foci (0, ±10) and two vertices at…

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Q: If 1500 square centimeters of material is available to make a box with a square base and an open…

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