2 x³ dx -6 √x²-9 Evaluate O44√3 24√/3 34√5 34√3

Q: A manufacturer estimates that it's product can be produced at a cost of C(X)=40000-100x+x^3. If the…

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Q: Find the system of equations to model the problem. DO NOT SOLVE THIS SYSTEM. A $124,000 trust is to…

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Q: 9. TC/2 (3 sin² t cos ti+ 3 sint cos² tj + 2 sint cost k)dt

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Q: (g) Determine the minimum or maximum value of the function. (h) Write the domain and range in…

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Q: 5. Integrate the function below, if the answer is expressed as (a/b)*pi + 2*In(c), find the value of…

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Q: Find the general isolation of the following: 1. (x³y³+1)dx +x4y²dy=0

A: Please see the below picture for detailed solution.

Q: Question 1 Given the series: 2³-(²3)* Σ5. k=0 k does this series converge or diverge? diverges…

A: The objective of the question is check the converges of series and determine the  sum of series .

Q: x² - 4 (a) lim x2 (x + 2)(x-3)²

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find a power series representation for the function. f(x) = X 8 - x³

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Q: e −1 -1 lim (−1) t⇒0 t

A: Use limit expansion

Q: (a) lim x² - x + 6 X2 x 2 x² + 2x - 3 x² (b) lim x - 6 x 3 x² - 2x - 3 x - 4 (c) lim x+4√√√x-2

A: a.limx→2x2-x+6x2+2x-3=4-2+64+4-3=85b.limx→3x2-x-6x2-2x-3limx→3x-3x+2x-3x+1limx→3x+2x+1=54

Q: Q3 :(A): By using " L' Hopital rules "; Find the limits of : 1 (1) limx-o[: 1-cos x 2 sin²x A 1.

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Q: Solve y" - 2y + y = 12e³t y(0) = -1 y'(0) = 0

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Q: dy Q5: Find for the following functions: dx (3) y = ex.sin² x In√x

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Q: If A, B, and C are 3×3 matrices; and det(A) = 5, det(B) = −2, and det(C) = 3 then compute: det…

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Q: Q5: Find dx for the following functions: (3) y = ex.sin² x In√x

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Q: Use L'Hopital's to determine the limit. lim Oo O1 ○ -1 enx ~|-1 as x approaches co

A: This question can be solved using the concept of L' Hopital's Rule and derivatives.

Q: 3. 4. S 2t (1²+2) ³ 514 √15 +2 - dt =dt

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Q: 18. if f(x) = 2x² + 3x² - 4x-5 X+1 Suggested Table X f(x) -1.1 -1.01 -1.00 find X-7-1 f(x) = ?…

A: The given function,  fx=2x3+3x2-4x-5x+1

Q: (b) If G(x) = CV: 1 cos (t¹) dt, compute G'(x).

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Q: dy dx Q5: Find for the following functions: (2) y = tan³√√cot(7x);

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Q: 2: io ue Approximate the area of the region bounded by the graph of f(t) = cos (t/2-5/8) and the…

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Q: (1) In(x - y) = xy + y³ ;

A: According to rules, I need to solve first question.. Please repost remaining questions

Q: Evaluate the integral by first modifying the form of the integrand and then making an appropriate…

A: We have to evaluate the integral by first modifying the form of the integrand ∫ [ln(e8x) + ln(e-8x)]…

Q: Solve the initial value problem 25y" - 40y' + 16y = 0, y(0) = 2, y'(0) = 3. y(t) = How does the…

A: We have to solve the initial value problem 25y'' - 40y' + 16y = 0 y(0) = 2 & y'(0) = 3

Q: Solve the following linear systems of differential equations.

A: As per as our guidelines i am supposed to answer only three part of this question Please repost…

Q: Use the substitution u = 3x²-2 to find the following indefinite integral. Check your answer by…

A: We need to find integral.

Q: nd an equation of a plane passing through the following 3 points (1,-1,-1), (-4,1,4), (3,5,3)

A: topic- equation of plane through three points equation of plane passing through three points…

Q: Q5: Find for the following functions: dx (1) In(x - y) = xy + y³;

A: We have to find the dydx of the given function.

Q: Determine the intervals on which f'(x) is positive and negative, assuming that given figure is the…

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Q: 1 3 (a) √ 2²³ + + + √²+2rdz [: x° 2x dx X (ln(x))² (b) / X dx

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Q: , 4x²+x+17 (x+1)(x²+4) dx I

A: Hee, to evaluate the given integral we have to rewrite the rational function.

Q: Precalculus Let cos0 = 5/13, 3π/2 < 0 < 27. Find the exact value of each of the remaining…

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Q: (B): Find the tangent equation to the curve y = sin² x at point x =

A: I have stated the used formulas in the solution.

Q: Given: f" f(x)dx= 36, [ f(x)dr = 12, 2. Find the ff. numbers: So a. C. f(x)dx b. [ (2f(x) + +12g(x)…

A: Explained below

Q: (B): Find the unit vector perpendicular to the vectors: 3i - 4j + 5k 4i + 5j - 6k du

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Q: dp dt Suppose that the current population is 100,000. (a) What is the predicted rate of growth 3…

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Q: Write a polynomial f(x) that satisfies the given conditions. 2 Polynomial of lowest degree with…

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Q: Find the lengths of the missing sides if side a is opposite angle A, side b is opposite angle B, and…

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Q: Q1: Fill in the blanks for the following statements (chose five only) 4n 1. lim-00 2n+1 2. log10 (3x…

A: Authoring guidelines: As per the authoring guidelines, we can solve only the first three parts of…

Q: 7 [[11x + √]dx = [ 8x3 +C

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Q: find the area of the triangel with verticies A=(0,0,0) B=(2,1,1) C=(3,1,2) round to 2…

A: This question can be solved using the concept of area of triangle using vectors.

Q: Q5: Find dx (1) In(x - y) = xy + y² : (4) y = x sinh 2x-cosh 2x for the following functions: (2) y =…

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Q: • The orthogonal trajectory of the equation given below is already given. What is the value of "n"?…

A: The given equation x2+3y2=r2

Q: S ³+3 dz

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Q: Q5: Find for the following functions: TTTTTT³ : (2) y tan³√cot(7x) : = (4) y = x sinh 2x-cosh 2x (3)…

A: Note:As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Use the disk method to find the volume of the solid of revolution generated by rotating the region…

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Q: Use the method of reduction of order to find a second solution of the differential equation t²y" —…

A: The differential equation is given by,  t2 y'' - 4t y' + 6y = 0  Given,    y1 (t) = t2

Q: Sketch the function. 4 k(x) = -x² +6x²-8 Part 1 of 4

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Q: Find the lengths of the sides of an isosceles triangle with a given perimeter if its area is to be…

A: Solution is given below: