Find the inte gral. Box Final Answec For the definite integral, give the exact answer only r se?- gE +2t dt

Q: (Continue) An astronaut drops a hammer from rest a vertical distance of 2.0 meters above the surface…

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Q: dx Evaluate: (x-4)(x-1) X-1 + C x- 4 A B None of the given choices 3ln + C x-4 - 4 + C x- 1 D X- 4 E…

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Q: In solving the antiderivative of f(x) = sin(x) + 3cos(x) + 3 by miscellaneous substitution, the…

A: Given the function,        fx=1sinx+3cosx+3

Q: a. f(x) = 4x + 11 find:f'(-2) %3D b. f(x) = 2x2 - 5x – 3 find: f'(2) %3D

A: derivative

Q: Qel Fnd the lais Llim hth Cosh んう0 Sinshe-Cosl 2lim メa00 2x2_8

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Q: Use the Definition to find an expression for the area under the graph of f as a limit. Do not…

A: We have to find an expression for the area under the graph of f as a limit.

Q: irvature and the radius of curvature at the stated poi r(t) = 6 cos(t)i +6 sin(t)j+ 7tk; t= 2 r the…

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Q: 20х* 5. (25-16х"°

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Q: Which of the following is the general solution of the differential equation y" - 36 y=0 ? O…

A: y''-36y=0auxillary equation is given bym2-36=0(m+6)(m-6)=0m=-6,6m1=6 , m2=-6

Q: I need help with this problem. Thank you. Consider the indefinite integral ∫x2(x3+6)3…

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Q: Find the equation of the tangent line to the curve y =4x-8 at the point (3.-2).

A: Topic = Derivative

Q: dx :Ja-4)(x-1) Evaluate: 1 A (x-1) + C X- 4 B None of the given choices x- 4 + C х-1, © 3ln

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Q: 1 * cot³. CSC2 x3 x2

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Q: Find the equation of the tangent line and normal line to the curve ? = √? − 3 and whose normal line…

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Q: How/ Find the General solution for dhe following O e %3D

A: The given differential equation is;  e2x(dy+2ydx)-x2dx=0. Repost the next questions.

Q: S- dy - = 2/y- 5in|Vy+ 5| +C Vy +5 А) True B) False

A: ∫dyy+5Let y+5 =xdifferentiating on both sides12ydy=dx=∫2y dxx=2∫x-5xdx=2∫(1-5x) dx

Q: Differentiate the function:  k(x) = 4 ln (x) + 2 cos x + x^2 k'(x) =

A: k(x)=4ln(x)+2cosx+x2Differentiate with respect to xk'(x)=(4×1x)+2-sinx+2xk'(x)=4x-2sinx+2x

Q: 1 dx x[9+(ln 3x)" 8.

A: use simple integration method.

Q: Example Evaluate +f -P) dpdgdr (p2 + q² – r²) dp dq dr + pq² – pr2 dq dr 3 1 + q? ² – r? } dqdr 3 -…

A: Let's find.

Q: dy = 2/y- 5In|Vy+5| + C Vy+5 (A) True B) False

A: we will use basic integral rules and the method of integration by substitution.

Q: An astronaut drops a hammer from rest a vertical distance of 2.0 meters above the surface of the…

A: Initial velocity of the hammer, u = 0 m/s Vertical distance above the surface of the moon from which…

Q: Let R be the region bounded by y =x+4, y=0, and x=4. Draw the region R, and evaluate the following…

A: Let's find.

Q: S tan?x secs x dx 1 х + Ос none of the choices 1 -sec"x + sec*x + C + C O A B.

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Q: 00 n +7 Use the ratio test to determine whether>. converges or diverges. 7" n=3 (a) Find the ratio…

A: To find whether the given series converges or diverges using ratio test.

Q: When x Va + 4dx was evaluated, the results can be express as F (x) = - (æ + 4) | (x +4)ª – 7 (x +…

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Q: x2 Fusing trigonometric substitution, Jf(x)dx is transformed into n solving for the antiderivative…

A: Given problem:-

Q: Question 3 хаx S- can be solved by either algebraic subsitution or integrataion by parts. x- 1 T…

A: The given integration,         ∫x dxx-1

Q: x = 2y X=y-8 -12 12 -8-

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Q: Find the least possible cost of painting the cement block.

A: Please find the solution

Q: 5xy = 4x²z – 3yz2; yx and y,. -

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Q: Question 6 Evaluate: VA 4 – a² A None of the above 2 sin () – av4 – a² + C f (x) 4 sin- (E) - æv4 –…

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Q: dy by implicit differentiation. dx Given In xy+x+y=2. Find

A: lnxy+x+y=2Differentiate w.r.t x1xyxy'+y+1+y'=0xy'xy+yxy+y'=-1y'y+1x+y'=-1

Q: Q2 Find the limits 1- lim h +h cosh thcosh Sinh.cosh J4ズ メラ 2x-8

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Q: Vx² –25 The antiderivative of dx is x2-25- sec lx+C. A) True B False

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Q: u+ 2v = 1+ vw; wy, and vw.

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Q: 25-x2 In dx , if we letu=V25-x² , then udu= – xdx.

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Q: Describe the graph of the equation. r = 18 cos ti + 4 sin tj -k O Itis an ellipse in the x = -1…

A: Let's find.

Q: 1+2 sec (Vx dx Į Va sin (/æ) tan (Væ) sin (/r sec (Vr and sec (Vx Hint: tan (yx =1. cos (Vx

A: Integration

Q: What is the derivative of f(x) =2cos (x)? %3D 2 cos (2x) O -2 cos (2x) O 2 sin (2x) -2 sin (2x)

A: f(x) =2cos2xdifferentiating w.r.t xd(f(x))dx=ddx(2cos2x)

Q: Eind the limits lim hth G h Sinshe-Go

A: We have to find the limit according to the given information

Q: Determine a region whose area is equal to the given limit. Do not evaluate the limit. 11 lim 3 + n-…

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Q: Finding an Equation of a Tangent Line In Exercises 85-90, find an equation of the tangent line to…

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Q: dx Evaluate: x/9x2 + 4 None of the above V9x2 + 4 + 2 In 4 f (x) = +C © f(x) = -2ln V9x2 +4 + 2 + C…

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Q: All continuous functions have antiderivatives. If f and g are continuous on a <x < b, then "Ư(x) +…

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Q: I. Evaluate the triple integral zdV, where E is bounded by the cylinder y? + z? = 16 and the planes…

A: Let's find.

Q: Find dy dx 1-Ln(»+さ)=かげとxッ) tュx 2- Y= (1+x)

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

Q: Economists who study production of goods by a firm consider two functions. The revenue function R(x)…

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Q: If R is the region enclosed by 100 – 4x2 - 4y2 = 0 and 9x2 + 9y2 - 36 = 0, then which of the…

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Q: 00 n8" Use the ratio test to determine whether>. converges or diverges. (n + 1)! n=7 (a) Find the…

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Q: Evaluate the following and post your answers in (Activity 2.1) 1.dz 2. Sa dx 3. S(7y6 + 8y – 1)dy

A: 1. ∫13dz=13z+C2. ∫a3dx=a3x+C