y = 2x* + 32; dx = 5, x 2, y=4 dt dy (Round to two decimal places as needed.) %3D dt

Q: dy Find by implicit differentiation. dx х3 + уз + 3у — 2 %3D0 + Зу — 2 %3D 0

A: f=x3+y3+3y-2 By implicit differentiation dydx=-∂f∂x∂f∂y ∂f∂x=3x2∂f∂y=3y2+3

Q: |(xsin(3x)) dx XS

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Q: Calculate dy/dx. No need to expand answer. y=7x^2-9x+17/2x+4 dy/dx=

A:

Q: Differentiate. y = Jex +8 dy dx

A: The given equation is y=ex+8 To find: dydx

Q: 2) dy x+3y dx 2x

A: We will solve the problem

Q: dy Differentiate implicitly to find dx xy2 x +y dx II

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Q: dy y3 , У (0) : 1 dx 1– 2xy2

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Q: Solve the DE by Integrating Factors Found by Inspection 3 1. x dy - y dx = x¹ y dy + x³y² dx X

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Q: 4y = Consider the equation- dx What is the integrating factor of the equation?

A: The solution of given question is written in step2.

Q: Estimate S, cos(4x)dx with Trapezoidal Rule. n = 10

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Q: Integrate: J [ xe*dx

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Q: Calculate dy/dx Simplify y=4x+7/5x-1 dy/dx=

A: First we have to simply the given expression.

Q: Differentiate implicitly to find dx Зху + 5 3 0 dy %3D dx

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Q: 2x dx ex+3

A: ∫e2x dxex+3

Q: Reverse the order of the integration dy dx sin x

A: W need to find integral.

Q: Find dy/dx. x = t/(9+t), y = (9+t)^(1/2) dy/dx = ?

A: We have to use the parametric form of differentiation . In parametric form of differentiation , we…

Q: find the integrating factor (x+1)dy - (2y+2x+1)dx = 0

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Q: :Use variation of parameters to solve dx Зх — Зу + 4 dt dy 3D 2х — 2у — 1 dt

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Q: Find dy/dx for y = x*, x>0.

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Q: dy dx

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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: Q2 Integrate by parts: ex sin x dx

A: find ∫exsinxdx we know, ∫u.vdx=u∫vdx-∫dudx∫vdx now, apply this on equation I=∫exsinxdx…

Q: Differentiate y=5x(3x^2-2x) dy/dx=

A: We have to find differentiation of y.

Q: This is a calc 3 question    change the order of integration to dx dy dz

A: The given region of integration is bounded by all three axis and the plane:  x + y + z = 4.

Q: Find dy/dx by implicit differentiation. x3 + y3 + 5y - 6 = 0 %3D dy/dx = %3D

A: given equation is -  x3+y3+5y-6=0

Q: Differentiate. Inx y= 3 dy dx

A:

Q: integrate (2 + x^2)/x^1/2 dx from 1 to 4

A: to find I=∫142+x2xdx

Q: a) How is ds/dt related to dx/dt if y is constant? ds/dt=___(dx/dt)

A: Consider a function S with variable x and y as constant. S=fx+ywhere, fx=function with x as…

Q: solve: d/dx on the intergral 2x to x3 with an integrand of t2 et^5 dt

A: Given integral is

Q: Find dy/dx by implicit differentiation. бx2 + 7ху — у? %3D1 | y' =

A: We have to find the differentiation of given function

Q: c) Calculate the integration Y+1 dydx

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Q: Q5. (A) Evaluate [- dx +4x+3 (B) Use integration by part to evaluate ſe* sin (e** )dx

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Q: dy Differentiate implicitly to find dx 7xy + 1 = 0 dy %3D dx

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Q: Find dy/dx at the given point without first solving for y. xy2 = 343 at (7, 7) dy %3D dx

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

Q: dy Differentiate implicitly to find dx 5 3 5 ху 2 2 Xy + 6x¯ = 8y +7 %3D

A: Given equation is x3y5+6x52=8y52+7. Compute the implicit derivative.…

Q: dy Find for dx X 0 12+ 13t² dt.

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Q: solve using the method of integrating factors. dy dx ==+x, y(1) = 3 х ||

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Q: 1 tanx dy dx Ja 1+ y2 а

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Q: Q2:- change the order of integration 1- Say, 4cosx dx dy kp xp dy dx 티/

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Q: Find dy/dx by implicit differentiation. VTy = r'y+55 %3D dy/dx = %3D

A: Calculate dy/dx

Q: dy 40. dx = VT/2 2ху 3D 1, у(0) 3D

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Q: Integrate by parts: ex sin x dx 2.

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Q: Find / tan- -dx using integration bv parts. TM

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Q: calculate the derivative.

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Q: Differentiate. y=de* +6 dx

A: Given y=ex+6

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

A: Given,          x2-4xy+y2=4

Q: 3 3 У(х'у + 2х — у)dx + x (ху — 2) dy 3D 0 3

A: Firstly we find Integrating factor, then find general solution.

Q: Find dy/dx: rsinx 1. у %3D Sm* 3t2 dt

A: I am attaching image so that you understand each and every step.

Q: Find dy/dx at the given point without first solving for y x2 + 3xy + 11 = 0 at (1, –4) %3D dx II

A: Given: The curve is x2+3xy+11=0 and the point is  1,-4. The objective is to find dydx at the given…