I Eliminate the arbitrary constants 1. X = y=at + bt² - Int,

Q: If the change of variables u=x²+4 is used to evaluate the definite integral f(x) dx, what are the…

A:

Q: The edge of a cube was found to be 20 cm with a possible error in measurement of 0.2 cm. Use…

A: As we know that; The expression for the volume of the cube is: V=a3    ....(1) Where a is the edge…

Q: 6. Estimate the integral: ܐܢ ex. dx

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Q: 3 Estimate the integral 1 dx by the trapezoidal rule using n = 4. + 1 Vx3

A: ∫abf(x)dx≈Δx(f(x0)+f(x1)2+f(x1)+f(x2)2+f(x2)+f(x3)2+⋯+ f(xn−1)+f(xn)2) where ∆x =b -an

Q: 14 Find the integrals using integration by parts. Lx(x + 4) dr --2

A: Given that:(a) ∫x(x+4)2dx

Q: Find 1-a Conf int for y txo P( - tor;ou L T L tarziv) =1-a

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Q: Suppose fhas absolute minimum value m and absolute maximum value M. Between what two values must |…

A: Apply formula for finding correct option

Q: Find the indefinite integral. (Use C for the constant of integration.) 4 zV 64z2 dz 49

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Q: 52. Use Property 8 to estimate the value of the integral 1 dx Jo 1 + x2

A: Given: Integration 0 to 2 of (1/1+x^2).dx

Q: Use double integral to find the average temperature of T(x. y) = 10-8r -2y

A: Temperature function is given as - Tx, y = 10-8x2-2y2Average temperature = ∬10-8x2-2y2dxdyGiven…

Q: Find the total differentials of w=2z2 ysinx

A: The detailed solution is given below Thank you

Q: Write down an integral expressing the length of the curve y = cos x, 2 2

A: Apply the below formula: L=∫ab1+dydx2dx

Q: If the change of the variables u=x^2-7 is used to to evaluate the definite integral upper 6 and…

A: Explanation of the answer is as follows

Q: Find the value of the definite integrallo 2 cos ( x ) dx given that the antiderivative for the…

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Q: Evaluate the integral dx (x + 1)(x² + 1) Sz

A: The integrand can be written as:…

Q: Let y 5x²8x + 4. If Ax = 0.1 at x = 1, use = differentials to estimate Ay Ay ~

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Q: 7. Evaluate the improper integral. -kx e (k: constant)

A: Please refer to the image below.

Q: Recall that the volume of a right circular cylinder of radius r and height h is V = r’h. Suppose…

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Q: Evaluate the double integral : (y – 10x) dr dy

A: To evaluate the given double integral.

Q: 1. Evaluate S(x + y)dxdy by reversing the order of integration.

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Q: Suppose the side length of a cube is measured to be 5 cm with an accuracy of 0.1 cm. Use…

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Q: Find the integral. Show complete solution dx 4. Vx(1+x)

A: ∫1x(x+1)dx Substitute :               u = x ⇒ dudx = 12x               ⇒ dx =…

Q: Find the indefinite integral. (Usec for the constant of integration.) (2ti + j 6k) dt

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Q: Eliminate the arbitrary constants 1. X = -Int, y= at + bt2 2. In y = C, sin ax + C, cos ax + 9x<-2…

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Q: d Evaluate dz 1 dt. 1+ Int

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Q: 10 a) Evaluate x cos(5x) dx by using integration by parts.

A: Given:

Q: 3 a) Evaluate iNT=x² % dz dydx 1-x²-y² e-3(x²+y²+z²)ž

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

Q: (b) Integrate the following using integration by parts: [5t* Int dt

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Q: Exatuate the integral pvz O√3 √4-X² √EX 9 (√x ² + y² dy dx

A: Evaluation of double integral by conversion to polar coordinates.

Q: Set up a definite integral to find the length of the curve  y= (3/4)x(4/3) - (3/8)x(2/3) over the…

A: The given curve is,

Q: 2. u(x)= secx+à So u(t)dt.

A: Given integral Fredholm equation, ux=sec2x+λ∫01utdt To find the solution of this equation.

Q: Find the indefinite integral. Solution in handwritten. 1. secy (tany - sec y ) dy

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Q: x³e-x*dx 1. "Since the integral ( Select ] [ Select ]

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Q: Let y1, y2,.., y10 be a random sample from an exponential pdf with unknown parameter A. Find the…

A: Given: y1,y2,......,y10 is a random sample from an exponential pdf with unknown parameter λ. It is…

Q: 9. If the change of variables u =x- 2 is used to evaluate the definite integral f(x) dx, what are…

A:

Q: 3. Apply Romberg quadrature to •1 1 dx 1+ x2 for h = 1, 1/2, 1/4, 1/8. Show a table of approximate…

A: We are given the following definite integral : ∫1/(1+x2) dx from 0 to 1 And we have to solve it…

Q: Find the particular integ rel of This differential etuatim. (40²+HD+= 2e +8x %3D

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Q: If the change of variables u=x2+5 is used to evaluate the definite integral what are the new limits…

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Q: Given: J Vx sinh TV

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Q: Eliminate the arbitrary constants x = -ln t , y = at + bt^2

A: given  x=-ln t , y=at+bt2 claim- to eliminate the arbitrary constants

Q: 3 sin 2t 1. If f (x) = Jx Ve2+Int dt, find f'(x) Jx Jt?+Int

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Q: 9 Set up an integral for the length of the Curve, yこx,05x<ト

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Q: 1. Use the table of integrals to integrate the followin a) S sin ) s in () dt

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Q: Select the basic integration formula you can use to find the indefinite integral. 10 dt (10t – 3)2 +…

A: Given that              ∫ 10/{(10t - 3)2 + 81} dt Here we have to find the indefinite integral by…

Q: .find the integral by Gamma fun y(-Iny)5 dy

A: Gamma function is defined as Γ(x)=∫0∞xn-1e-x dx .               Disclaimer: Since you have asked…

Q: 1 dx x+1 1

A: Evaluate improper integral

Q: Use the Romberg integration to evaluate. 3 xe*dr With an exactitude e =0.5%

A: Given ∫03xexdx whose step error should be εs=0.5%. We use the Trapezoidal rule…

Q: If the change of variables u = x² +1 is used to evaluate the definite integral f(x) dx, what are the…

A: given:- u = x^2 + 1 to find:- new limits.

Q: Find the liner Jeneral integral of differential equations. ) (xy' -1) Int=24

A: Given: