Find the point(s) on the graph of f where the tangent line is horizontal. f(«) =x°c* (0, 0), 9, 99 (0, 0) 99 9,

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A: Given  v = 1(2t+2)m/s   for 0≤t≤8 ; n =4 Displacement = ∫081(2t+2)dx Number of subinterval = 4  h =…

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Q: x(z+ 2y)100 = yz – x; Zy and xz.

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

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Q: Find the derivative of the following function 8. y=(x+3)(2x² – 3x + 1)

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

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.…

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Q: e2 and x e*. Find the area below the curve f (x) = between x = %3D x In x

A: The region is bounded by the curve f(x)=1x lnx between x=e2 and x=e4

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Q: IV-x2+4x + 5 dx. Using trigonometric substitution, what is the integral form in terms of 0 ? A (1–…

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Q: 12x²-x² * x+2 dx= D dx • x +1 Consider dx = ,find A+B+ C+D· x4+ x3

A: Consider ∫2x3-x2+x+2x4+x3 dx=∫Ax+Bx2+Cx3+Dx+1 dx, then to find A+B+C+D.

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Q: (V9- x2 dx using Trigonometric Substitution what is dx ? x2 Consider 3 cos e de 3 sec e tan 0 de 3…

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Q: Find all relative extrema of the function. Use the Second Derivative Test where applicable. (If an…

A: Considerf(x)=x+25xf'(x)=0⇒1-25x2=0⇒x2-25=0⇒x=±5critical points are x=-5, 5

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Q: sin(3x)cos(3x) sin(2x) 의[cos(2x)-1]+ +C 12 8 4

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A: topic - integration by parts

Q: S2x². uv- Svau Using Integration By Parts, dx = uv- uv- Jva Find du

A: Our Aim is to solve the integral given below using integration by parts∫2x2e13x -(i)

Q: .4 x²+4x-5 Consider dx using Trigonometric Substitution find X- 1. x+2 -2 +3 sec 0 3 sec e -2 + sec…

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Q: A. Direction: Evaluate the limit. f(x) = {x – 2x + 2, x < 2 х- 3, х22 1. Evaluate the limit using…

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

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

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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: Evaluate the integral da (8r +4)' 4)3 by making the appropriate substitution: u= dr (8r + 4)°

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Q: Find the area bounded by y = x+ 4 and y = x2 - 2. Answer:

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Q: 1. Evaluate the following limits. 2 - V2r + 10 a. lim 1-3 x2 + x – 6 4x – 7 lim z+-1- \3x2 – 2r – 5…

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Q: * tan°(x) cos“(x) 1 tan7(x) 1 tan (x) O tan7(x),

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Q: tan (x) cos (x) 1 tan (x) +tan°(x) + C tan'(x)7tan?(x) +9]+ C 36 O 1 1 tan (x)-tan'(x) + C O…

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Q: Find the area bounded by the curve y = 4x - x² and and the lines x = 0 and y = 4. %3D Answer:

A: we can find the area between the curve and the lines by integrating the curve function through lines…

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Q: sin2 dx. Use trigonometric groups. cos

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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: y(z – 2x)100 = y – xz; Xy and yz. |

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Q: 4 3 2- O 1+ -2 -1 1 2 x 1,

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Q: 2x3- x² + x + 2 D dx X +1 C Consider find A+B+C+D x4 + x3 y3 4 O 2 O 5

A: We can solve as follows

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

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Q: NAME: 1. Decide (with proof) convergence or divergence of the series .(d), find the exact sum. 1)…

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Q: /9- x² Consider dy using Trigonometric Substitution what is dx ? 3 sec e de 3 sec? e de 3 cos e de 3…

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