Differentiate: y = v 6x – 8x3 O y' = (3 - 12r²) /6x – 8x³ %3D O y = 6-24z2 %3D V 6z-823 3-12z2 O y' = V6z-8z3 O y' = (6- 24x²) /6x – 8a³

Q: ) Estimate the value of Csc (0. 2) using linear approximation and without using any kind of…

A: Given problem:- Estimate the value of csc(0.2) using linear approximation

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A:

Q: Why is there a need to solve for integrating factors?

A: We solve easily by using integrating factors.

Q: Estimate √4.1 using linear approximation.

A: This question is based on the linear approximation of a function.

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Q: Integrate sec^3xdx

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Q: Differentiate y = arcsin (2r2) 4.r VI+ 4r4 Option 1 None of these VI- 44 Option 2 Option 3 4.

A: As we know that; The chain rule; fgx'=f'gx·g'x The Power Law; ddxxn=nxn-1 And ddxarcsin(x)=11-x2…

Q: / (6x" – 7Va+ 19x- 8 -- + Evaluate + 14e0* + V11 dx. (You don't have to show the work.)

A:

Q: To apply integration factor method, we need to have coefficients?

A:

Q: tion of all components of v(3) correct to two decimal places.

A:

Q: Differentiate. h(θ)  = etan 2θ

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Q: of fa) =x² 1 average at %3D Find the

A: The average of the function f(x) in the interval a,b is given by f¯=1b-a∫abf(x)dx. The integration…

Q: 3. у' %3D 2ху — х

A:

Q: Find the root of the equation fx=In(x)-5+x in the interval [3.0, 4.0] using Regula Falsi method. Use…

A: Consider the given information.

Q: Solve the equation in the attached image:

A: Given:

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Q: Describe a first step in integrating x10 – 2r4 + 10x² + 1 -dx. 3x3

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Q: Integrate

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

Q: There are 2 pipes connected in a tank which contains 1,000 liters of brine. Brine containing 0.1…

A: Given information ----------------------------------------------------------------- Basic…

Q: Given the function y = 8e-2x + 7 sec² 5x - 4 ln x³, find y'. Solution: 4(3)x² 3 12 X ------- 12 1…

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Q: Find the general solution using Integrating Factors Found by Inspection

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Q: ) Find the integration: V1-X

A: Given integration, ∫032dx1-x2

Q: Find the root of the equation fx = In (x) -5 + x in the interval [2.0, 3.0] using Regula Falsi…

A: The root can be found for a function using the Regula Falsi method. This method uses the formula for…

Q: 9. Differentiate y = /sec³ (5t2)

A:

Q: The sum of the lengths of the two diagonals of a parallelogram is 18 m. One diagonal is 2 meters…

A: Let the length of a diagonal is = d1=x m So the length of the other diagonal = d2=(x+2) m. Given…

Q: Y2-1 dy

A: Follow the procedure given below.

Q: What is the value of the function xcosnxdx if we integrate it using Kronecker' smethod?

A:

Q: What kinds of changes occur in the Coefficients of a Nonbasic Variable when the original model is…

A: Answer is explained below

Q: Integrate: dz V2x + 3

A: We have to find

Q: 1. S(VE – Vt² + Vr³) dt -3

A: as per bartleby guidelines i can do only first question out of multiple questions. please post other…

Q: 5 4х — 2 d Find dt - dx x² + 20 2 4t – 2 t2 + 20 2 – 16t - 16t2 + 20 16t – 8 ¢2 + 20 2 – 4t - t2 +…

A:

Q: Use​ Euler's method with step size h​ = 0.2 to determine value of y.

A: To determine value of y at x=0.1 by solving the differential equation dydx=y−x1+x,y0=1, and h=0.2

Q: Min 2こ d 2 t0125 + 3 X2 X + X 2 X, i XZ

A: Min Z =   2 x1 + 3 x2 subject to   0.5 x1 + 0.25 x2 ≤ 4     x1 + 3 x2 ≥ 36     x1 +…

Q: S sin4xVcos4x + 1dx

A: Let u=cos(4x)+1 Then du=(cos(4x)+1)′dx=−4sin(4x)dx  and we have that sin(4x)dx=−du4

Q: A tank containing chocolate milk initially contains a mixture of 460 gallons of milk and 40 gallons…

A: Let yt be the amount of chocolate syrup in the tank at time t.  The rate of change of the amount of…

Q: 1. y = Vt2 + 3t – 1 %3D

A:

Q: hich vect וdtiolו y and 2? 1 -2 y = 1 -6 x = 2 8 -1 2 -1 5 2 -3 [ 2 -1

A:

Q: Solve: sec x = V2 + 2πkk e Z U + 2π시k E Z 3. + 2πkke z 2Tk k EZ 4. 4 + 2rk|k € Z 3 + 2rk|k E Z 3. of…

A:

Q: (2)If ø = xyz – 2 y²z+x²z?. Find div grad ø at points (2,4,1)

A: Given that        Φ =xyz-2y2z+x2z2  Here we have to find div grad Φ at points (2,4,1).

Q: Integrate by parts S xsin2xdx.

A:

Q: 7. Solve by using an integrating factor. (a) y + 2ty = 2te-t. %3D

A:

Q: SOLVE FOR THE ORTHOGONAL TRAJECTORIES X'(3k-x) - ky = xy

A: Take first derivative and eliminate k.

Q: Find the number of units x that produces the minimum average cost per unit  C  in the given…

A: It is minimum average cost per unit problem.

Q: 1- Genx :1 CSCX 2 CSCX=1 senx CSCX = I CSCX = 2 %3D 2- Cotx = 3 tanx= 3J3 3. 3 tanx = Cotx 3. 13 353…

A: first one is wrong.because secx=1/cosx.and sinx=1/cosec x.

Q: Explain how successive over relation is obtained from the Gauss-Seidel method.

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Q: J7 -dz 21-8

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Q: Approximate fls 3 + 2x* using Simpson's rule (n=6), then find the percentage of error after…

A: nhbgk

Q: I Sdve for dydx using the four-step rule 2. Y = x- x 2.

A:

Q: The sum of the lengths of the two diagonals of a parallelogram is 18 m. One diagonal is 2 meters…

A: Let d1, d2 be the diagnols of a parallelogram given,  d1+d2=18d1=2+d2 ⇒d1=10, d2=8 Area of the…