%3D Solve the initival value problem: / = -8 cos(2a)/(6+5y), y(0) = -1.

Q: dy Q2) Solve x- 2y = x³ tan 2x dx

A:

Q: d) sin (x)e3*+ dx dx

A: The given integral is definite integral because limits are given.  So integration value will be a…

Q: f(x csc² 6x - x cos 6x)dx

A:

Q: Graph: y = 2 sin 27x, 0 s xs 2.

A: To graph: y=2sin2πx,     0≤x≤2 Solution: We know, for a sine curve of the form: y=asinbxAmplitude…

Q: y' + 2y = 5 sin(e2x) Need Help? Read It

A: We have to find the solution of given differential equation

Q: (h) (1 – cos² r) (1+ cot? r) = 1 %3D

A: you can clearly understand if you follow the below solution

Q: Solve: (1+y2)dx=(tan-1y-x)dy

A: Here we have (1+y2) dx = (tan-1y-x) dy We know that solution of the differential equation in the…

Q: csch (2 sin2x) dx 1. V1-4x² r(²-1)cos[cosh (In r)]dr OS 4.

A:

Q: +3x2 b. Find (y)? = sin³(cos³(* *3*)) %3D dx 2

A:

Q: Solve: y (cosx)= (9+ y²)

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Q: f (0. 80108) = sin 3 (0. 80108) + cos 2 (0. 80108) – (0. 80108)²

A: Given,

Q: y = (cos(3x))*

A:

Q: sin(3x - 2) csc(4x + 3)' dM solve for dr

A: Here we can find the derivative as below with respect to x

Q: (х + 7)/3 — х dx

A:

Q: Q5: Find for the following functions: (4) y = x sinh 2x-cosh 2x (2) y = tan³√cot(7x) ; (3) y = sin²…

A: Sol:- (2) ddxtan3cot7x Apply the chain rule =3tancot7x2ddxtancot7x

Q: y = sin(x) + (x³ + x²)+ 0.12 Year - 12 Local Max and Local Min. Justify your answer with reference…

A: The given function is .To Find:The local maxima and Local minima.

Q: Find dy/dx for 4 cos4 xsiny = 15

A: d(uv)dx=udvdx+dudxv

Q: Find for the following functions: (4) y = x sinh 2x --cosh 2x (2) y = tan³√/cot(7x); (3) y= sin Imvr

A:

Q: find dy /dx for Hhe fallowing Y=(catx²)(cot"x) 2

A:

Q: a) Find b) Find d dx -(sin(2x²)) d dx (2x ln(x³ + 13)) c) Find (37) d dx

A:

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: