+ Inx y(In2x – Iny)

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: If you are going to evaluate the integral S V1 - 7w-dw using trigonometric substitution, the answer…

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

Q: J sin(x)cos(2x)sin(3x) dx sin(3x)cos(3x) , sin(2x)cos(2x) , sin(2x) + + C 12 8 8 4 sin(6x)_ sin(2x)…

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Q: g(b) Use the Substitution Formula, f(g(x)) g'(x) dx = | f(u) du where g(x) =u, to evaluate the…

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Q: 1. Suppose the odometer on our car is broken and we want to estimate the distance driven over a 30…

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Q: dx xv64x2–1

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Q: local

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Q: dx Using Trigonometric Substitution find f(e) - 3 (x² + x + 1)7 3 sec e 4 4 3 sec? e O 3 sec? e 4 4…

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Q: 6. What does lim v2 – x = 1 means? x-1 a. The limit of the function is 1 as x approaches 1 from the…

A: As per bartleby guidelines we only give first three question answers.

Q: Evaluate the surface integral F. ds for the given vector field F and the oriented surface S. In…

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Q: Using Integration By Parts ∫ x^3 √(x^2+4) dx find uv - ∫ v du

A: To give a representation for integration by parts.

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

A: ∫f(x) dx=∫ 5-31+x2-1dx=∫ 5dx-∫ 31+x2-1dx=5x-3arctanxAdd a constant to the solution=5x-3arctanx+C…

Q: Evaluate the definite integral. 1 5x +6dx

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Q: хdу — ydx — Vx? — у?dx 3D о

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Q: 1 Calculate the difference quotient for f(x) at a = 4. V2x + 5 (Express numbers in exact form. Use…

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Q: 12-11= Sin(z)

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Q: 4 x² +4x-5 dx= find the new limits of integration. Using Trigonometric Substitution f(e) de x+2 TT O…

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

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Q: x arcsec x dx ? xdx A. x Arcsec x - 25- ... B. ** Arcsec x -- V-1 xdx xdx C. x Arcsec x + 25- xdx D.…

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Q: TRUE OR FALSE. The parametric curve x = f(t), y = g(t) has a vertical tangent line at a point where…

A: The parametric curve x = f(t), y = g(t) has a vertical tangent line at a point where t = 2 if f'(2)…

Q: 4x3 + 4x? – 2x + 4 dx - (x² + 1)?

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Q: Evaluate the definite integral 3e-0.05r dr by the following steps: (a) Determine the indefinite…

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Q: Let V represent the volume of a cone with radius r cm and height h cm. Write an equation for V (in…

A: Let V represent the volume of a cone with radius r cm. To write an equation for V in cm3 in terms of…

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: Find the first partial derivatives of 2х — 4у - f(x, y) = at the point (x, y) = (2,2). 2х + 4y af…

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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: Which interval of 0-values corresponds to the shaded region in the graph of r = f(0) = 2.1 – 0? On…

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

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Q: (cos x2) dx. Use integration by parts. 1.

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Q: 2) Calculate lim ( In(3x + 1) – In(2x + 1)). -

A: Since you have asked multiple questions, we will solve the first question i.e., Question-(2) for…

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A: Given,   r(t)=cos(πt)i-ln(t)j+t-16k

Q: f(x) – f(7) g lim x-7 x - 7 se symbolic notation and fractions where neede

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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: 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: 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 curvature and the radius of curvature at the stated point. r(t) = 11 cos(t)i + 10 sin(t)j +…

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Q: Evaluate csc°(3x)dx cot*(3x) cot (3x) cot(3x) + C 12 2 cot°(3x)_ 2cot³(3x)_ cot (3x) +C 15 9 O…

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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: ∫ sin3 (x / 2) cos (x / 4) dx

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Q: Suppose that f(x) is a differentiable function satisfying the table below. 0 2 f(x) | 1| 2 | 12 | 7…

A: The objective of the question is showing that there exist at least one x=c for which f'(c)=5.

Q: Find an antiderivative of the function. (Remember to use absolute values where appropriate.) (a)…

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Q: sec(3r2 + In 2) evz+2 +9 a. y =

A: Use simple differentiation formula.

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: 1 1) Investigate lim h→0 cos h numerically (and graphically if you have a graphing utility). Then…

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Q: Given that cos(2x+y）=4xsiny, where 0≤y≤π, find the value of y and dy/dx when x=0

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Q: Using Integration By Parts ∫ 2x^2 e^(1/3)x dx find uv - ∫ v du

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Q: Convert x = 19 to an equation in polar coordinates in terms of r and 0. (Use symbolic notation and…

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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…