x = 1– t- t - te [-2,2] y =t – t3

Q: 2x³ – x² + x + 2 y= (: dx%3D C D + x + 1 Consider dx. , find A+B+ C+D. x4 + x3 x3 5 4

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Q: Integrate: I+2dx + C

A: To solvethe following integral part

Q: За — 1 (x – 2)(x + 5)

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Q: Vx² + 4x – 5 ,2 using Trigonometric Substitution find x Consider X+2 O -2 +3 sec 0 O3 sec e O -2+…

A: Here, the given integral is: ∫14x2+4x-5x+2dx=∫14x2+4x+4-9x+2dx=∫14(x+2)2-9x+2dx

Q: 3x²+ 7x+28 A f (x) Using Partial Fractions in evaluating -dx, the decomposed fraction is - x3+x²+7x…

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Q: x² + x +2 Evaluate x2 – 1 (x– 1)2 - In- - +C x+1 x+1 In- (x- 1)2 +C X+1 x+ In- (x – 1)2 (x – 1)? +C…

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Q: Sketch and determine the opening, vertex and focus of the parabola with an equation of y? - 8x + 16…

A: Follow the procedure given below.

Q: 3x2+ 8x – 12 3. -dx. Use partial fractions. x3+7x2+ 12x

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Q: What will you factor out from the integrand of csc°(3x)dx so that you can transform it to its…

A: the given integral,         ∫csc6(3x)dx

Q: Evalute the indefinite integral

A: To evaluate the integral.

Q: 2x4 +3x2 - 1 Rewrite -dx as integral of sum of partial fractions. (x3 – 4x2 + 5x)?

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Q: The result of x3/x² – 1 dx is F(b) – F(a) where F(a) and F(b) are both real numbers. What is the…

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Q: 5 — 4г — 2? dx

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Q: x² + x +2 Evaluate x2 - 1 x+1 +C (x- 1)2 (x- 1)2 In- + C x+1 x+1 X+ In- +C (x-1)2 (x- 1)2 x + In- X…

A: Given problem:-

Q: Find f'(x) and f'(c). Function Value of c f(x) = (x + 4x)(5x + 2x - 4) C= 0 %3D f'(x) = f'(c) =

A: A detailed solution is given below

Q: Compute the given integral. Jac dx +C

A: Solve the integration

Q: Find the indefinite integral using the formulas from Theorem 5.25. (Use C for the constant of…

A: Given:      ∫51+e2xdx

Q: Consider the following vector field. F(x, y, z) = (2e* sin(y), 7e sin(z), 4e² sin(x) (a) Find the…

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Q: Using Trigonometric Substitution J JA€)d® ,find f(e) (x2 + x + 1) 2 4 3 sec? e 4 3 sec e O 3 sec e 4…

A: Here we have to apply trigonometric substitution.

Q: Find the second-order partial derivatives of the function. Show that the mixed partial derivatives…

A: Given: Now, fxx=∂2∂ x2x5+x2y2+y5+x+y    =∂ ∂ x5x4+2xy2+1    =20x3+2y2 fyy=∂2∂ y2x5+x2y2+y5+x+y…

Q: 2x3- x² + x + 2 dx = D dx find A+B+ C+D. + x+1 + Consider x4 + x3 4 O 3 O 2 O 5

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Q: 4. Given [2r + 5], if r2 I = -1 and at r = 2. If discontinuous, classify the type of a. Discuss the…

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Q: x(z + 2y)100 = yz – x; Zy and xz.

A: Given problem:- x(z+2y)100 = yz-x  To find:- Zy and Xz

Q: Using Integration By Parts, 2x² e3" dx = u v - |2x2 e3" dx = u v-, -Svau Find u v- Sv du · x3 e 3 dx…

A: Integral

Q: /x²+4x – 5 dx Using trigonometric substitution, ƒ (8) dô. x+2 Find the new limits of integration.…

A: Given:        ∫14x2+4x-5x+2dx=∫abfθ dθ         =∫14x+22-9x+2 dx      Apply u-substitution.…

Q: Evaluate the surface integral. xyz ds, S is the cone with parametric equations x = u cos(v), y = u…

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Q: B. f is not continuous at x =a C. f has a relative maximum at x = a D. f is continuous but not…

A: Here, we have given a function now we have to calculate the points where the function has point of…

Q: Question 3 6x³e**3 dx. using integration by parts Svdu) and letting = UV u= f(x), dv= 3 g(x) dx,…

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Q: Find the first and the second derivatives of the function. y%3D 6-x

A: The given function is: y=x6-x  =-xx-6  =-x-6+6x-6  =-1+6x-6  =-1-6x-6

Q: Sam) sin |cos dx O32 coss 35 -5cos? + C 32 cos 32 cos + C 4 7 5 32 cos 35 5sin? +2+ C O 32 7( x), 32…

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Q: Find the sequence of partial sums S,, S2, S3, S4. and S5. 7 7 + 4 7 7 Σ = 7+ - 1 16 64 256 n = 1 S1…

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Q: 5xy = 4x²z – 3yz²; xz and xy.

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Q: Using Integration By Parts, x² Vx? +4 dx =uv- [v du Find Uv- du 3 3 2 -4)2 dx || 4 3 3 2 +4) 2 dx 3…

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Q: Using Integration By Parts. x3 x2 +4 dx =uv- v- Svau- -Svdu. Find uv- 3 글x리 (x2 + 4)Z-/글x(x2+ 4)2 dx…

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Q: 3r + cos z Use Squeeze Theorem to evaluate lim VI+x² – 5x°

A: Given problem:-

Q: dx 4 -sin e+C Using Trigonometric Substitution - = , express the answer in terms of x. (x² + x + 1)…

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Q: Ssincos 3 COS dx 2. 4 032 cos 35 5cos? +7+C 4 032 COS 4. 32 .5 + C 4 + COS 7. 5. 32 7. COS 32 cos…

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Q: ntegrate 36(6 5) dr 3. Answer

A: Topic:- integration

Q: Using Integration By Parts, x Arcsec 3x dx = u v- |v du

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Q: хdу — ydx — Vx? — у?dx 3D о

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Q: 1. Evaluate the following limits. 2 - V2x + 10 a. lim 1-3 x2 + x – 6 4x – 7 1 lim с. -1- (3r2 – 2r…

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Q: 4. x2(y + 1)dx + y² (x – 1)dy = 0

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Q: A bacteria culture grows with constant relative growth rate. The bacteria count was 2,560 after 4…

A: answer in next step

Q: we the system. If the system has one unique solution, write the solution set. Otherwise, determine…

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Q: d²y -=6- 9x and which passes through the points (0, – 1) and (2, 3)- dx2 Find the equation of the…

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Q: 2 - V2r + 10 a. lim 1-3 r2 +x – 6

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 4. y²tan y

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Q: Rewrite the expansions in terms of exponential and simplify the results as much as you can. cosh 5x…

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Q: 1. Evaluate the following limits. 2 - V2a + 10 a. lim 2-3 22 +r - 6 4x – 7 lim с. -1- (3r2 – 2.r 5…

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Q: x² + 2x- 10 (2 dx = x² (x² + 4x + 5) (2x + 4) + 1) (2x+ 4) +1) x2 + 4x + 5 x2 2 Consider dx -…

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