Vx In 2x dx=u v- v-fvdu Using Integration By Parts, Find Uv- du O 3 xVx In 23 2 12x- dx | O 2 Xx In 2x- 2 XVx In 2x- x dx O 3 xVX In 2x-/V지o dx

Q: Calculate the derivative by expanding or simplifying the function. Q(r) = (1 – 7r)(6r + 5) (Use…

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Q: 5. Use differentials to approximate the value of V(3.01)² + 2(0.99) – 3 in four decimal places.

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Q: Assuming that z is a function of x and y, find the equation of the tangent plane and the equations…

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Q: Evaluate the definite integral. sin(4t)dt

A: Here is the solution:

Q: Q4/Find The Inverse Laplace Transform By Partial 3s-12 Fraction (s-1) (s2 +8)

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Q: dy dx? Find in terms of x and y. x°-y° = -3

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Q: What will you factor out from the integrand of tanx sec'x dx so that you can transform it to its…

A: To factor out a term such that the given integrand becomes integrable.

Q: Evaluate the integral 8) da 21 3-8. by making the substitution u = NOTE: Your answer should be in…

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Q: .3 The result of dx is F(b) – F(a), where F(a) and F(b) are real numbers. What is the value of F…

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Q: Cos dx 32 osSsin) +2+c (주)-5cos주)+ 기+ C 35 32 -cos 35 32 cos 7 (2)- 32 cos(수)+C +C 4 Cos COS

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Q: Find a power series for the function, centered at c. 1 f(x) C = 2 %3D 8-x' Σ 00 f(x) = %3D n = 0…

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Q: Find the points on the ellipse 5x2 + y² = 5 that are farthest away from the point (1, 0). smaller…

A: To find the points on the ellipse 5x2+y2=5, that are farthest away from the point 1, 0.

Q: 3r + cos r 2. Use Squeeze Theorem to evaluate_ lim 1-00 V1 +r2 - 5x

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Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

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Q: Express the limit as a definite integral on the given interval. 5 V 3x; + (x;) Ax, [2, 3] * lim n →…

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Q: BLUsing the following table, find f(x) as polynomial in x: -1 3 6. F(x) -6 39 822 Good Lup 3.

A: Let's find.

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

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Q: x² + y)dx + xy dy = 0

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Q: Find the points of inflection of the graph of the function. (If an answer does not exist, enter…

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Q: (2х + 3у)dx + (у — х)dy —D 0

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Q: Compute f'(a) using f' (a) f(а + h) — f(a) = lim f(x) or f'(a) = lim f(a) for f(x) = 10x³, a = 2.…

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Q: S****2 x² + x +2 Evaluate x2 – 1 x+ In- (x – 1)2 +C x+1 x+1 x+ In- (x- 1)2 +C x+1 In- +C (х-1)2 о.…

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Q: Using Integration By Parts, x3 / x² + 4 dx = u v - v- Svau-

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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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Q: 2x+ 11 3 3 1 dx - X +3 Consider Idx - evaluate dx = x2 + x- 6 X- 2 X-2 x+3 x+3 In +C (x- 2)3 X-2 In…

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Q: tan (x) J Cos cos“(x) 하an7(x) + 늑tan®(w) +C O tan'(x)7tan?(x) +9]+ C tan7(x) 36 O sin…

A: Here we have to integrate the given function.

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: Identify the open intervals on which the function is increasing or decreasing. (Enter your answers…

A: If f'(x)>0 for every x on some interval I , then f(x) is increasing function . If f'(x)<0 for…

Q: 4) y =iy ¡y' -x1

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Q: 7. Use the Method of Lagrange Multiplier to find the critical points of the function f(x, y, z) =…

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Q: d d Calculate ri(t) · r2(t)] and rı(t) × r2(t)] first by differentiating dt dt the product directly…

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Q: Evaluate the indefinite integral. 15 +°dx

A: Given query is to eveluate the integral.

Q: cos 2 dx O 32 -cos -5cos2 ()+7] + c 35 32 35 - cos(4)- 32 -cos) +c O 32 COS +C 스4

A: We have to find integral

Q: Question 1 Consider / sin*x cosºx dx. f we let 4 = sin x, the integrand can be transformed to, (B ®…

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Q: The speed of a runner increased steadily during the first three seconds of a race. Her speed at…

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Q: 1 Sxsec - Svdu- Using Integration By Parts, >x tan x- u v- Find UV-

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Q: The polar equation r = a+a cos 8, where a > 0, has a tangent line at (0, 7)

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

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Q: x² + x – 2 (3x – 1)(x² + 1)

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Q: 3r + cos a 2. Use Squeeze Theorem to evaluate lim 1-00 V1+ x² – 5x

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Q: 1/2 x2 The result of dx is F(b) – F(a); where F(a) and F(b) are real numbers. What is the value of F…

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Q: s2+3 1. (s-3)(s+5)(s-1)² s2-s+3 s3(s+5)(s-2) s-8 (s-3)(s²+2s+17) (s+1)²(s²–4s+85) s² +5s-2…

A: let's solve option (2) L-1 s2-s+3s3s+5s-2 By partial fraction, s2-s+3s3s+5s-2=As+Bs2+Cs3+Ds-2+Es+5…

Q: |v|dt. Then find the Find the arc length parameter along the curve from the point where t= 0 by…

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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: Ssin(x)cos(2x)sin(3x) dx sin(3x)cos(3x), sin(2x)cos(2x) , sin(2x) + + C 12 8 8. 4 sin(6x) sin(2 x),…

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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: [2x+11 3 1 dx . evaluate Consider 3 1 dx x+3 dx = x2 + x- 6 x- 2 | x+3 X- 2 x+3 x- 2 In +C x+3 In…

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Q: Using Integration By Parts, Vx In 2x dx =uv- -Svdu Jv du Find UV- du O 2 늘 xVX In 2x-| Vx dx Xx In…

A: A detailed solution is given below

Q: Using Integration By Parts, x Arcsec 3x dx=uv- -Svdu 了 Find uv- x² Arcsec 3x – 2 dx 2 x²-1 3 x…

A: The given integral is: ∫x sec-1(3x) dx

Q: puppy needs a rectangular dog run outside. You have 50 feet of fencing and plan to rall of your…

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