If you are going to evaluate the integral f dx using trigonometric substitution, the answer is 2(tan ø - ø) + C. If x =seco , the answer is the equivalent to

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: If i x w = i- j+ k, and i · w = 4, and 0 is the angle between i and w, 2 - (a) tan 0 = (b) 0 =

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Q: What are the polar coordinates of the point P shown below? 2 3 4

A: This question is related to coordinate systems, we will solve it using given information.

Q: Below is the motion of a particle given by the following parametric equations as t varies in the…

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Q: Find f. f"(x) = 6 + 6x + 24x2, f(0) = 2, f(1) = 12 f(x) =

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Q: -Svau Using Integration By Parts, x Arcsec 3x dx = uv- - Svau- Find uv- x² Arcsec 3x dx V9x2 – 1 o 1…

A: Here we have to solve the integration by using integration by parts.

Q: usider (x. Using a suitable trigonometric substitution, the resulting integral in terms of 0 is…

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Q: Describe the graph of the equation. r = 7 cos ti – 18 sin t j+ k O An ellipse in the planex = 1,…

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Q: _14. Suppose that a function f: R² → R and its partial derivatives up to the third orders are…

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Q: Express the limit as a definite integral on the lim 17(x;) - 7x;]Ax, [2, 8' i = 1 dx 12 Need Help?…

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Q: xy dx + e* dy = 0 er?

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Q: 3. Evaluate the lim(2x – 7). x-4 а. lim(2x — 7) %3D 2 x-4 b. lim(2x – 7) = 1 с. lim(2x - 7) %3D7 x-4…

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Find 8²-45+13 2

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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: Fird the area bounded by the curve: a) y=x° and y=2x43 a)Curve accurotely drown with important…

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Q: cos x Given: tan x dx. Using trigonometric transformation , the integral in terms of u is sin x Cos4…

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Q: Sx sec xtan x dx =uv- Svau- -Svou 1 1 Using Integration By Parts, Find UV- O 1 5X sec 1 × xp. O x…

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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 loop of the following limacon is produced for which interval of the angle theta?

A: Given:       r=2+4sinθ The first step is to find the angular displacement of the inner loop. To do…

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: Evaluate the integral cot5 x csc3x dx O Lesc" x - ese" x + cse" x - c 2 csc' x + 5 글csc3 x + C 1 X +…

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Q: dy Do not simplify your answers. de 3. Solve for sec(3r2 + In 2) eVz+2 +9 c. r Cos y = - log(2³ + y)…

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Q: sin dx 32 cosS 35 4 Ssin +2 +c cos () • 32 cos + C 32 -cos 32 cos + C 7 4 32 cos 35 즐)-Scos()+기+C

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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…

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Q: Compute the following values for the given function. f(x, y) = 8xye(x2 + y2) f(0, 0) f(0, 1) f(1, 1)…

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Q: As a group, discuss why there are no terms of the form x*, xy, or xy in the expansion of (x+ y)'.…

A: (1) In the expansion of (x+y)3, each term has the power 3 ,that' why x4,x2y2,xy  do not exist

Q: Find the function f(x) such that f''(x) = x + cos(x), f(0) = 1, and f'(0) = 2.

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

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Q: Sx. Svau Using Integration By Parts, x Arcsec 3x dx = u v- Find UV- du O 1 x2 Arcsec 3x 2 dx V9x2 -…

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Q: Find the area of the region bounded by the graph of f(x) = x(x - 3)(x + 1) and the x-axis on the…

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Q: V x2 + 4x – 5 dy using Trigonometric Substitution find x- Consider x+2 O -2+3 sec e O 3 sec e sec e…

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Q: 2. y-10 4. y=-7x+10 6. y=-2x + 3x

A: Since you have asked multiple question, we will solve the first 3 question for you as per our guide…

Q: Sxsecxtanx dk=uv- fvau -Svau- O 2x sec x - S2secx a 1 Using Integration By Parts, x sec x tan dx =…

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Q: Find the antiderivative F of f that satisfies the given condition. Check your answer by comparing…

A: We know that integration of e^x is e^x. And integration of xn is xn+1/n+1.       Here i attached the…

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

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Q: S2x²-x² + x+2 2x3- x4 + x D |dx find A + B+ C+D· x+1 Consider O 2 O 5 O 4

A: Here is the solution

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

A: Given problem:-

Q: curve has the following parametric equations with parameter t. x=2t-1/2t and y=2t+1/2t. Find dy/dx…

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Q: Find a polynomial f(x) of degree 5 that has the following zeros. 5 (multiplicity 2), 0,-3, -8 Leave…

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Q: Consider the equation below. (If an answer does not exist, enter DNE.) (x) = xe8x (a) Find the…

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

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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: 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: 4. y²tan y

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Q: dx - [f(e)de find f(e) - S. (x² + x + 1) 2 Using Trigonometric Substitution O 3 sec? e 4 4 3 sec? e…

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Q: Evaluate the integral [cot5 x csc x dx O 1 1 늑csc? x-cscs x + 하sc3x + C 2 X + x + C 2 esc x + 1 csc?…

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Q: TRUE OR FALSE. The curve defined by the polar equation r = 2 + 3 sin θ is symmetric with respect to…

A: To determine whether the given statement is true or false.

Q: Let r = xI + yj + zk and r= |r|. Find each of the following. (Give your answers in terms of r.) (a)…

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Q: Using Integration By Parts,x: x dx = u v– Jv du X sec Svou -tanx - Jsec Find Ex tan 5 2 1. X sec x…

A: The given Integral is: ∫x sec 12x tan 12xdx

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.…