-Svau Using Integration By Parts, x Arcsec 3x dx = uv- - Svau- Find uv- x² Arcsec 3x dx V9x2 – 1 o 1 = x2 Arcsec 3x dx Vx2 – 1 1 - x2 Arcsec 3x dx V9x2 – 1 1 = x2 Arcsec 3x 2 dx x² – 1

Q: Find f'(x) and f'(c). Function Value of c f(x) = (x + 4x)(5x + 2x - 4) C= 0 %3D f'(x) = f'(c) =

A: A detailed solution is given below

Q: Vx² + 4x – 5 ,2 using Trigonometric Substitution find x Consider X+2 O -2 +3 sec 0 O3 sec e O -2+…

A: Here, the given integral is: ∫14x2+4x-5x+2dx=∫14x2+4x+4-9x+2dx=∫14(x+2)2-9x+2dx

Q: The speed of a runner increased steadily during the first three seconds of a race. Her speed at…

A: Here we will find the smaller and larger distance values,

Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

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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

Q: Determine integrals for the area of the shaded region given the following figure. In part (a), give…

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Q: Find the derivative for each function be low at x=1 a) flac) 6) fla) = 2(x-1)5 %3D Vox2+1) e ) fx) =…

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Q: The radius r of a sphere is increasing at a rate of 2 inches per minute. (a) Find the rate of change…

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

A: We have to choose the correct option from the given options according to the given information

Q: Evaluate the integral. In 2 tanh x dx

A: ∫02tanhx dx=∫02sinhxcoshxdxUsing formula ∫f'(x)f(x)dx = ln|f(x)| +cHere , f(x)=sinhx , f'(x)= coshx

Q: У(2 — 2х)100 — у — хz; ху and yz.

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Q: Use a graphing utility to graph the function and find the absolute extrema of the function on the…

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

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Q: If y = x + ex, find dx/dt.

A: Given query is to find the derivative of the expression.

Q: 5xy = 4x²z – 3yz²; yx and yz.

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

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Q: So

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Q: z+3 lies on the y -axis of complex plane, where Q48. If z = x + iy and z + 3, then which of the…

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Q: 1 A function f is given by f(x) = This function tak (x+ 4)2 f(x + h)-f(x) Find f(2), f(0), f(a), f(x…

A: Since you have asked multiple part question, we will solve the first 3 part of the question for you…

Q: The graph of a function f is given. (Let a = 1.) 0 1 8. (a) Estimate f(x) dx using four subintervals…

A: We have to estimate the given integral.

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: each of the problems, solve the given differential equation. 3. y` + y2 sin x = 0

A: Given query is to find the solution of the differential equation.

Q: Suppose i = (-3, –3, –5) and v = (-1, –5, –1). Then ů x ở is and i x ũ is

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Q: Sx(x² – 3)11 dx

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Q: Find the integral. Box Final Answe r. For the definite integral, gve the exact answer only Ssin(Bx)…

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Q: (æ² + 1)² x²ez² 2(x2 + 1) + C x²ez? 2(z² + 1) -ze +C O A Ов 1 2(x2 + 1) cea 2 2(2² + 1) - 2" +C…

A: The given integral is: I=∫x3ex2(x2+1)2dx=∫x2ex2(x2+1)2x dx Substitute x2=u⇒2xdx=du⇒xdx=du2 So,…

Q: When J x°cos (x-)dx is evaluated using IBP, the value of J v du is? A - cos (x2) B none of the…

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Q: = sin? (esint) l(x) = tanh-1 x + In v1- x2 2 h(t) + cos + cos¯ -1(2t3 - 5) |

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Q: Using Integration By Parts, x3 / x² + 4 dx = u v - v- Svau-

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Q: | æ(5")dæ

A: topic - integration by parts

Q: Use implicit differentiation to determine dy/dx given the equation x^4+y^4=−3x dy/dx=

A: Implicit differentiation is the procedure of differentiating an implicit equation with respect to…

Q: Find the general solution of the differential equation. у" - 400у %3D0 ... y(x) =

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Q: Evaluate the integral. x³(5x + 4) 22) dx Vx5+x+ +7

A: Find the integral using substitution method

Q: The radius r of a sphere is increasing at a rate of 2 inches per minute. (a) Find the rate of change…

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Q: we the system. If the system has one unique solution, write the solution set. Otherwise, determine…

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Q: Set up the form for the partial fraction decomposition. Do not solve for A, B, C, and so on. 6s +…

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Q: Evaluate the line integral, where Cis the given curve. (x + 6y) dx + x² dy y (6, 1) C (7, 0)

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Q: n(-8)" Use the ratio test to determine whether converges or diverges. п! n=25 (a) Find the ratio of…

A: Here we have to use the ratio test.

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

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Q: Find the volume of the solid obtained by rotating the region under the graph of the function f(x) =…

A: The function f(x)=ex revolved about the x-axis over the interval 0,5

Q: The position of a particle in the xy-plane t time t is r(t) = (e') i+ i. Find an equation in x and y…

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Q: Define f(0,0) in a way that extends f to be continuous at the origin. 6x² -x²y² + 6y² x² +y? f(x,y)…

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Q: Find the producers' surplus at a price level of $15 for the price-supply equation p=S(x)=6+0.01x2…

A: We have to find the producers' surplus.

Q: Compute the work required to stretch a spring from 4 to 12 cm past equilibrium, assuming that the…

A: the equation to find workdone is; workdone =(1/2)kx^2   given,  stretching the string from 4 to 12…

Q: d d Calculate [ri(t) · r2(t)] and r1(t) × r2(t)] first by differentiating dt dt the product directly…

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Q: initel Vehue Poblem =のラx X(ころ) (三

A: Given query is to find the solution of differential equation.

Q: For the frictionless spring mass model, using a mass of m=0.5 kg and spring restitution coefficient…

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Q: V9-x² 2. dx. Use trigonometric substitution. x2

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Q: 18) From a thin piece of cardboard 40 in. by 40 in., square corners are cut out so that the sides…

A: let "x" be the height of square corners which are cut outso, Box has length =40-2x, width =40-2x ,…

Q: A shot putter threw an 8 Ib 13 oz shot 62 ft, 2 in. Assuming the shot putter launched the shot at a…

A: answer is in next step