Question 3 of 10 View Policies Current Attempt in Progress Find the area of the shaded region. The image y = C Consider c=64. Enter the exact answer.

Q: x³ + 6x² + x +2 fx-1 ax + In{(x + 1)*(x² – x + 1)| +- 2 Tan Ve The resulting integral of -1 + C,…

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Q: Find the volume of the solid that results when the region enclosed by 2.x y = e2, y = 0, x = 0, x =…

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Q: 43x2-2x dx . | Evaluate x + 2

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Q: Given the function f(x) =2+3x - x³. Determine the intervals where f is increasing or decreasing,…

A: As per the guidelines I am supposed to the first question among multiple questions. So I am solving…

Q: Question- Let R be the region bounded by y= x+2, y30, and x=3. Then draw the region and evaluate the…

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Q: Given the function f(x) =2+3x - x³. Determine the intervals where f is increasing or decreasing,…

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Q: A. Arcsec x - 25- xdx xdx B. 글x Arcsec x-를- В. C. * Arcsec x + 25- Vx -1 xdx xdx D. 글x + 글- Arcsec x

A: Given

Q: 2- oiffemontiake with nespeef fo z and ataking X as a cams fant. he * (2-2a)" y.l00 (2-2x)" (1-0) =…

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Q: ta the téduction of order melhod, the substitution y= 5u can be used for the DE: - 3y/= 0, to obtain…

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Q: За — 1 (x – 2)(x + 5)

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Q: x e2x dv

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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: 1. give the equivalent cartesian coordinates of ρ = π

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Q: give the equivalent cartesian coordinates of ρ = π

A: Since you have asked multiple questions in a single request we would be answering only the first…

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

A: We need to evaluate integral.

Q: Question 4 When x°cos (x²)dx is evaluated using IBP, the value of J v du is? A B -cos (x2) cos (x2)…

A: We need to choose correct option.

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

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Q: – (x²- 1) dx using P (1 -;*)-^;* / * m in terms of A?

A: Use simple integration formula.

Q: V14 _13. Given the function f(x,y, z) = e3xyz sin 2xy where x = r² + t² , y = t² +r , z = r+t. Then…

A: Given f(x,y,z)=e3xyz sin2xyx=r2+t2y=t2+rz=r+t

Q: 7.A Water font has a shape sp an inverfed arcular cone with ? base radius 4m nd herght m.lf water is…

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Q: Evaluate the integral. dx :+ C J 22 Va2 – 36 x² /x? - NOTE: Enter the fully simplified answer with…

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Q: 5x dx? x3 + x2 +4x+4 How many quadratic and distinct factors are in the denominator of

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Q: Given that lim f(x) = 0 Xa lim g(x) = 0 Xa lim h(x) = 1 x-a lim p(x) = co lim g(x) = ∞, evaluate if…

A: We need to find limit.

Q: 2х dx cos?(2x) Evaluate 1. xtan (2x) + In|cos(2x)| + C 1 xtan (2x) + In|sec(2x)} + C xtan (2x) 1…

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Q: Find the centroid of the region R bounded by the graphs of y x and y 1. 1) Which of the following…

A: To find the area of the region R.

Q: 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…

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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: Consider the Cardioid r = 2 − 2 sin θ. (a) Find its total arc length. (b) Determine the area of the…

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Q: b) Evaluate the following integral by using the polar coordinates R where Ris the enclosed region by…

A: solve the double integration

Q: Evaluate the definite integral: 1/5 dx 1-x2

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Q: 1. Given: S(x) = {10ze", | 2r³ + 3x² – 12x, r>0' I < 0 a. Find all the critical numbers of f. b.…

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Q: Find the general (real-valued) solution of the following differential equations. If an initial…

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Q: 2х — 1 dx x² – 6x + 18

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

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Q: x³ + 6x² + x +2 dx? How many quadratic and distinct factors are in the denominator of x³ +1

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Q: Determine the speed along a parameterized path s(t) = (9t³, 7t²) at time t = 6 (assume units of…

A: Given problem Determine the speed along a parameterized path s(t) = (9t3 , 7t2 ) at time t = 6…

Q: dx If x2 - 2x - 4 is solved by trigonometric substitution, which of the following substitutions is…

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Q: ーx? + 4x +5 dx. Consider Using trigonometric substitution, what is the integral form in terms of

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Q: s²+3 (s-3)(s+5)(s-1)²

A: Let  s2+3(s-3) (s+5) (s-1)2 = As-3+Bs+5+Cs-1+D(s-1)2

Q: Consider the following parametric equations. I = -3t – 1 y = -3t – 2 te (-00, 00) a) Find four…

A: Follow the procedure given below.

Q: Find the arc length of the parametric curve. x = e', y = e, z = v2t; 0<t < 6 V2t; 0<t<6 x = L =

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Q: 3. x2 + 2ху + 3y?

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Q: +00 dx II. Evaluate the improper integral x(In x)²

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Q: 1 Using Integration By Parts, x sec x tan 2 1 -uv-Jvau Find u v- Svdu '2x sec 을x-J25ec을x dx o 1 2*…

A: From the given problem; ∫xsec12xtan12xdx=uv-∫vdu    ....1   We know that; ∫secxtanxdx=secx+C

Q: Find the area enclosed by the lemniscate with equation r = 289 cos(20). Choose your limits of…

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Q: r1/2 x2 dx is F(b) – F(a), where Fla) and F(b) are real numbers. What is the value of F (a)? The…

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Q: 2 - メ

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Q: s2x²-x²+ x+2 A dx find A + B+C+D• X +1 Consider dx = x4 + x3 3. 2 4 O O o o

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Q: Given that lim f(x) = 0 Xa lim g(x) = 0 Xa lim h(x) = 1 lim p(x) = ∞ Xa lim g(x) = 0, evaluate if…

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