sy,z) = 8x? In (5y + 9z). Find the range %3D

Q: If Sdx = s ( + g(x)dx, then A + f 9(2) dx is equal to %3D

A: ∫x2-1x3+xdx To break the fraction we use partial fractions…

Q: 10 What is the value of S" F'(x) dx ?

A: Given,            y=Fx         We know that,        ∫abF'xdx=Fb-Fa

Q: What is f P-(x)dx if the given DE is y(6y2 – x - 1)dx + 2xdy = 0?

A:

Q: Let X; = tB¡ B,ds. | Is (X,)r20 a F - martingale?

A: Consider the given process:        Xt=tBt-∫0tBsds

Q: If z=5x^2+y^2 and (x,y) changes from (1,2) to (1.05,2.1), compare the values of delta z and dz.

A: Given that        z=5x2+y2 changes from (1,2) to (1.05,2.1)  We have to derive value of Δz and dz .…

Q: dy 4. a2+ y? = ry (Bernoulli DE) dx

A: Answer and explanation is given below..

Q: Find F(s). F(s) = £{t(et + e5t)2}

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Q: L, x*e*** dx 3+1

A: 3.1) ∫-12x2e(x3+1)dx Let u=x3+1 du=3x2dx

Q: dy Find the value of at x= 5 using Lagrange's interpolation formula from the given table dx 1 7 y 4

A: Given  x17y48 we have to find the value of dydx at x=5 using Lagrange's interpolation.

Q: Find dy for the given values of x and ∆x.  y = x3 - 2x2 + 3; x = 1, ∆x = -0.1

A:

Q: y= lux of yoe Find DfR.

A: Explanation of the solution is given below...

Q: If f(x,y)=xe/2,+37x?y3, then dx²əy³ at (1,1) is equal to

A:

Q: 16 d :| (2V8– 1) dt da. valuate dr. dx 5.

A: We have evaluate to the given expression

Q: Find the order and degree of d³y 4 dªy 1+ %3D dx3 dx4 O Order=4, Degree=8 O Order=8, Degree=4 O…

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Q: z) = 8x? In (5y + 9z). Find the range of tl %3D

A: We have to choose the correct option according to the given option

Q: (a) Approximate the value of dx, using two and three points Gauss Quadrature Vx+A A: O

A:

Q: Find Hand S for H = c₂(x)+₁(x) (x) d dx S={feC [a,b] | f(a)=0}.

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: While evaluating the approximate value of 13 x dx, using Trapezoidal rule, taking 7 h = 0.5, the…

A:

Q: Find d?y/dx? implicitly in terms of x and y. x?y - 3x = 8 dx2

A:

Q: %3D AB is a midsegment of AXYZ. If AB = 13, what is the measure of XY? A 13 B

A: Given information: AB is the midsegment of a triangle XYZ. length of AB is 13 units.

Q: Usę the Trapezoidal Rule with n 6 to approximate 'e dx. %3D -x2

A: As per our guideline we can only answer 1 question at a time. Kindly re-post other questions.We are…

Q: For a given table 4 y 5 9 16 23 d’y Find the value of at x = 4 using forward difference formula. dx…

A: The derivative at a point can be calculated using numerical differentiation. The approximate value…

Q: (d) Differentiate f(t) = tt°

A:

Q: Given y = Vx3 + 1, evaluate dr using delta process.

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Q: f (x) = 0, %3D pendently selected, find the E

A: The number of sample is n=4. a. The probability of impurity weights exceeds 0.5 is,…

Q: Given f(x, y) = 9xy® – 6x*y. Compute: a?f ду? ||

A:

Q: E(XY)=?

A: Given Data: f(x,y)=17x2y             for (x,y)=(1,1), (1,2), (2,1)           =0…

Q: Use the Trapezoid rule to approximate: dx; n = 8

A: Since you have asked  multiple questions  so as per guidelines we will solve the first question for…

Q: B- Use the Trapezoidal rule with n=2 to estimate fdx, to find the absolute relative true error |E¿|?

A: In this question we have to use trapazoidal rule to find integral.

Q: Find what value of c does dx = 1?

A: Given ∫5∞cx3dx = 1we know that ∫xn dx = xn+1n+1+C

Q: To F= G(s)= B(s) 2555+35 + 6 %3D A(S) stos't l1lS+ 6 Find F4) b] laPlase?

A:

Q: If fx Inx dx =x²Inx - Sf(x)dx, what is the vahue of S, 4f (x) dx? A) 1 B

A: Given, If ∫xlnxdx=12x2lnx-∫f(x)dx, what is the value of ∫014f(x)dx

Q: Find dy for the given values of x and ∆x. ; y = 2x3 - 5x; x = -2, ∆x = 0.1

A: Given y=2x3-5xx=-2∆x=0.1 To find dy

Q: 2. √ (e²x +e-2x) S 2 dx 1/

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Q: dy is Q5. If e** =xy, then dx

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Q: Use Lagrange interpolation to approximate y at x=c from the following tabulated values: C+3 Y3 C-1…

A: We know the Lagrange interpolation polynomial is…

Q: Evaluate [(x² +2) dx , using Trapezoidal rule, by taking N = 8.

A:

Q: C. Find Sx® In 3x dx using by Part techniques.

A: Here we will use the formula of integral by parts. Assume, f(x) = ln(3x) and g(x) = x^8 Formula will…

Q: Find f f'Lx) = ZR? +aX-S and %3D to FlO)=4.

A:

Q: Use integration by parts to evaluate |6xe* dx. (7x+1)(6e*) +C A) бе 49 B) -7x e +C 7 | C) (6e"*) -7x…

A: givenI=∫6xe-7xdxif u=x and v=e-7xthen we use integration by parts Formula∫uvdx=u∫vdx-∫[ddxu∫vdx]dx+c

Q: Find an upper bound for the error in estimating (5x3 + 2x)dx using the Trapezoidal Rule with n = 10…

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Q: Find dy for the given values of x and ∆x. ; y = x3 - 2x2 + 3; x = 1, ∆x = -0.1

A: Given fx≡y=x3-2x2+3 x=1 and dx=∆x=-0.1

Q: Determine dx dy if y = r -e' and x In(4f)

A: (1) first we find dydt (2) Second we find dxdt (3) then we find dydx=dydtdxdt

Q: d /7+t*dt dx'5

A:

Q: 23. Find the absolute value of the resulting error if the value of fx³ dx is estimated with 3…

A:

Q: a. Find pdf of Y? b. Find CDF of Y? C. Find P(0<y<2)=?

A: Given graph of density function . The general form of straight line passing through origin is in the…

Q: While evaluating the approximate value of | 2² dx, using Trapezoidal rule, taking h = 0.5, the value…

A:

Q: F.n) ds, w e given by

A:

Q: Use the trapezoidal rule to find A, using the indicated value of n. dx; n=8 3 X +1 .....

A: Please refer the attached image for complete solution. THANK YOU.