Sove for dy 4 X3 hy= e*csch (2-y?)

Q: S when メ=2 Y =x*+b $ Find dy when X=. dt dy

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Q: xp %3D 0. dy %3D 18 + 9t2 dt xp for y = Find ||

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Q: Compute dy and ∆y for y = sqrt(x^3 + 1) for the change in x from x = 2 to x = 2.03. Is dy a good…

A: According to the given information, it is required to determine dy and Δ(y) for the given function…

Q: f"Ve-1) de (e* a) (e ) da Ante 1) de Bos birak

A: The volume of the solid formed by revolving the region bounded by the curve y=f(x) and the x−axis…

Q: Using dy 3 =dx and dx = 0.03, what is dy whenx = 2? 2V3X – 2 dy i (Write as an exact decimal.)

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Q: dy In(3x + 7) Find for y = dæ 9e5z dy %3D dx

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Q: dy In(4x + 4) Find for y %3D dx 5e4x dy %3D dx

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Q: Q1/ Evaluate So (x² + 3y²) dy dx using Simpson's 1/3 rule in x-axis and Simpson's 3/8 rule in y axis

A: 1 Given integral is ∫03∫01x2+3y2dydx. We have to evaluate the given integral  by using Simpson's 13…

Q: Determine dy for y=VX2+1 . dx2 alx

A: Obtain the second derivative as follows.

Q: 4 dx. x'V16-x (c) By using x= 4sin (0), find

A: We have to find integration by substitution

Q: dy| 2х — 6 - Find- , where y = dx\x=1 x + 2 Enter the exact answer. dy dx=1

A: Solve

Q: dy dx Find t3 de +1 ソニ 1-3x

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Q: dy Find for y = dx /9 – x4 dy dx

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Q: Find dy. y=3 In (4+x) dy =D

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Q: x2 dy dx by reversing the order of integration. 4/x 1. Evaluate

A: Given double integral is∫14 ∫4x4x2 dy dxNow , By interchanging the integral we have ,∫y=14…

Q: Using figualve mme thod X + 2 dt 2. dy X - 29

A: To find the eigenvalues λ of the matrix A, solve the characteristic equation A-λI=0 for λ. To obtain…

Q: y +6 dy (Int. of Rational func.) y? + y` 2)

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Q: Find dy if x=t+6f and y= dx 2 5 at t=1 +

A: We have to find dy/dx

Q: Q1-If x= cot- VE, y =, find d²y dx' dx2 at t = 2.

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Q: (b) Given that y(6x +1) e** = 1+ - In dy Find when x 0 and y=1. dx

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Q: Find dy/dx for y =x − 1/ex√(1-2x)

A: given: y=x-1ex1-2x it can be written as: y=e-xx-11-2x we have to calculate the value of dydx.

Q: What is the difference between dy dy and Ay Use an example y = 4x?+ eX to under stand. 4x2+ ex

A: In the given questioin we have to tell about the difference between dydx,∂y∂x and ∆y∆x. first we…

Q: (y5 – x²e») dx dy -11-3

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Q: Differentiate implicitly to find dy/dx. – y2 = 38 x2 + y2 dy = ? dx

A: Use the basic concept of the differentiation and simplify.

Q: b. y = cosh(arctan 3x) C. y = 4a/ cosh a d²y d. for x = 4v2t2 + a, y = a² – t² dx2 %3| -

A: Given functions are  b) y=cosh(arctan3x) c) y=4acosha d) d2ydx2 for x=42t2+a , y=a2-t2

Q: Q4) Use the chain rule to express dy /dx in terms of x and y t2 y = t2+1 and t = 3x3 – 3 where x =1

A: Given y=t2t2+1 and t=3x3-3 and x=1

Q: Q2\ find y' when y = Vx² • sin2x + cosh 5x %3D

A: This question is taken from the derivative in which we have to find the derivative of the given…

Q: dy Find for dx 4) y= sinxtanx

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Q: dy For = 9 + y and y(0) = 4, use Euler's method with h = 0.1 to approximate y(0.6). dx

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Q: ay Differentiate implicitly to find x + y dy dx %3D

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Q: Find dy for y = ln dx ² cosx %3D sec x

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Q: dy Q4: If y = tanh e3x find dx

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Q: dy of y=X Find

A: y = x^x Find dy/dx

Q: Iny (x + Iny) dx - () dy =

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Q: dy Differentiate implicitly to find dx 3 7. 2 x'y +4x = 3y +2 54 3 dy dx

A: Given; x5y4+4x32=3y73+2 To Find: dydx using implicit differentiation

Q: dx Find the value ofat y=2 if x=z³+5z and z= dy (y² + 2y)'/³. -

A: Consider the function, x=z3+5z Differentiate 'x' with respect to 'z' as, dxdz=ddzz3+5z=ddzz3+5ddzz…

Q: Find the total differential. z = 10x4y5 dz = (No Response)

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Q: dy Find for dx X 0 12+ 13t² dt.

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Q: dy 4 Find for y dx V10 – x?

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Q: Find dy. y=2 In (2+x') dy = D

A: y=2ln(2+x3)

Q: Find dy dx2 for y = sec(x) dy

A: y=sec(x) We need to find d2ydx2

Q: dy Find for x=secy dx A xsinx B D 1-x?

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Q: dy about cosx+ylny= 0. dx Ask for

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Q: Q2) Evaluate , S2 xsiny? dy dx 0 Jx2

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Q: x' - 4xy + y = 4 %3D

A: Given,          x2-4xy+y2=4

Q: dy Find in terms of x and y if x In y + yo = 4 ln x. dx

A: Solution is written in below steps.

Q: Q2. Find of y = 4x/x + V at x = 1? dx

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Q: Q4/ Evaluate (xy + e") dy dx using Three point formula in x,y-axis and two point formula in z axis

A: You must have an basic idea of double integral to solve this.