(2siny + 1)dy : 4 and y(0) = 5. dx What is x when y = x?

Q: r3 V9-x² »6-x-y dz dy dx in the order dz dx dy 0,

A: Given triple integral is ∫03∫09-x2∫06-x-ydzdydx

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

A: Obtain the second derivative as follows.

Q: Find dy/dx for (x+y)3=x3+y3,at the point  (-1,1)

A:

Q: dx =- 1. dt dy at x = 2 if y = 4x° – 2 and dt %3D Find - dy dt

A: Given: y=4x2-2 and dxdt=-1 To find: dydt, when x=2.

Q: dy from the equation vx + y = 1 + x'y² dx Evaluate when x =1

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Q: y = sin²(2x) + %3D et dy Find Y dx Inx

A: We have to find solution

Q: ∫ 2y dx + 3x dy   where d is described by 0 ≤ x ≤ 1, 0 ≤ y ≤ 1

A: Consider the given integral is, ∫2ydx+3xdy The above equation is of the form M=2y and N=3x. Then, by…

Q: sin(2x) dy for y = dx Find V2-25 dy dx

A: The required formula is ddxuv=vu'-uv'v2

Q: 18 dx Integrate using trig. Substitution: S- x² V9– x²

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Q: x² Differentiate Y = (음) %3D x²-5 dy %3D dx

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

A: Solve

Q: dy Find dx - y = sin(3x*) dy %3D dx

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Q: dy Find for three only: dx 1) y = In(cos x . Inx²)

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Q: 1+ x 1 then find dy when – 1<<1. dx If y = tan

A: We will find out the required value.

Q: dy x COSY dx - siny=0 6 xcos)

A:

Q: dy at x = 0 where y dx arctan(0.1arcsin(x)) + x² + 3x. Find

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Q: dy at the given point. dx Calculate sin² (–5y) = x + y, - %3D 4

A: Given equation sin2(-5y)=x+y and point 2-π4,π4 The objective is to calculatedydx at the point.

Q: dy Evaluate dx at point (4,2) given 3(x² + y²)² = 100(x² – y²).

A: Answer and explanation is given below

Q: . cosx dy + y(sin x – 1) dx = 0; when x = , y= -2 %3D

A: This is linear differential equation. We will first convert this equation into simplified form and…

Q: Find dy/dx in terms of a and y if aty – x- 2y- 2 = 0. dy %3D dx

A: It is implicit  derivative.

Q: d²y 1.) of y = sinInß and x = In(Inß) dx2

A: Topic = Derivative As per guidelines , At a time only one question can be answered out of different…

Q: dy Find for y = - 19x+3 cos x. dx dy

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Q: Find dy. y= 2 In (3+x*) dy =|

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Q: Find of/dx and dfldy. f(x,y)% 3 (3xy-1) of

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Q: y (y^3-x) dx + x(y^3+x) dy=0_At· muon

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Q: dy where y - e = 1 Find 3D1 %3D dx

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Q: differentiatin, detamina dy of ; dx y= [at) (Xts) (a-z) (x-+)

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Q: dy Find where dx y° sin(4æ) – 72° – y³ = 10 - dy dx

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Q: dy - cosh x dx + (sinh x)y = e¬x

A: see the details solution in below

Q: cos(2y - x) = 3ysin x

A:

Q: dy cos-1x Find for y = dx /1-x2

A: Given :   To find dy/dx:

Q: Find the general and particular soulution of dy/dx=3y, where y=6 and x=0

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Q: Find dy/dx for y = cos-1 x.

A: Given function is: y=cos-1x Then we get, x=cos y

Q: dy Find of y* = sin(e) + xtan-'x %3D dx

A:

Q: dy/dx=(x+siny)/(2y-xcosy) is an exact equation

A: Given that dydx=x+sinyy-xcosy we need to check that it an exact equation

Q: What is the I.F of dy/dx = y - xy^3e^(-2x)?

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Q: Find dy. y=tan-1(ex^10)   dy=(______) dx

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Q: Let Fes) = fcx-s)dx Find fes) for %3D fex).x^, a constant the funchion where n is

A: Definite integral of the function ∫abf(x)=F(b)-F(a) where F is antiderivative of f .

Q: Solve dy dy + y = 2sin(3x) - dx? dx using the method of undetermined coefficient.

A: We solve the given differential equation by method of undetermined coefficients.

Q: 8. Find dy/dx in terms of x and y using implicit differentiaton 5y 4 +x 2 = 9

A: Step for implicit differentiation: (1) Differentiate with respect to x (2) Collect all the…

Q: Find dy/dx for 3sin(x+y) - 2e^y =6x^3 by using implicit differentation

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Q: what is the equilibrium of dy/dx = y - sqrt(y) when y >0

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Q: dy ху* - сosx sin x . У (0) -2 y(1–x²) dx

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Q: Use Leibniz's rule to find 히증 11 Textbook dx for y= 0 S 7x² 8t - dt. 8t+1 Ask my instructor

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

A: Given,          x2-4xy+y2=4

Q: dy Using the product rule for the dx function y = e3" sin x is equal to

A:

Q: dy Find dx at x=-3, given y= 3x²-2, at -2.

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: dy Find for y = - 12x + 5 cos x. dx dy %3D dx

A: We have to find derivative for given function.

Q: .2 dy Find for y dx V6 – x5 - dy %3D dx

A: We have to find dydx

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: