(8) dx Compared to I dx x In|x| Conterges or Diverges

Q: 2x -1 If y-f and .1 + 'א. dy f'(x) - sinx".find - dx

A: NOTE: Refresh your page if you can't see any equations. . now substitute

Q: 3. cos y sin 2x dx + (cos² y – cos² x)dy = 0

A:

Q: A point is moving along the graph of the given function at the rate dx/dt. Find dy/dt for the given…

A:

Q: 9 dx dy +ytanhx= 2 sinh x dy - 2y = x' cos x 10 x dx

A:

Q: 5 0 2x +2 dy dx dz in the order dz dx dy 0 -1 0 5 0 2x+2 0 -1 0

A: Given that ∫05∫-10∫02x+2dydxdz The objective is to show that, ∫∫∫dzdxdy In the interval,…

Q: cosh x dy + (sinh x)y = e-* dx

A:

Q: Q3) Find dy/dx if 1- y= In x 2- y=x sinx+1-x

A:

Q: Can you help me step by step?

A: The given function is,

Q: sin x dy 2. dx 2у x2

A: In this question we have to find the solution of the given differential equation.

Q: 1 (In x+1)x dy dx

A: Given integral is evaluated as follows

Q: A point is moving along the graph of the given function at the rate dx/dt. Find dy/dt for the given…

A: The equation of path is y=2x2+7. Also dxdt=4 cm/sec

Q: (a) Show that the derivative solution of this function y = x** is dy = x(**+x=1) [1+ x ln x (In x +…

A: The given function y=xxx Note:    Multiple questions are given, we are answered with only one…

Q: dy - år if y = In (sinh 50) and x = cosh 40 dx

A: Solving the problem by doing the derivative.

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

A:

Q: 2. cos x cos y dy-sin x siny dx = x² cos x sin y dx

A: The given equation is: cos x cos y dy-sin x sin y dx=x2cos x sin y dx Dividing it by cos x cos y we…

Q: A point is moving along the graph of the given function at the rate dx/dt. Find dy/dt for the given…

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

A: Answer and explanation is given below

Q: dx 9. J, 16 Vx - 2 3 10. x V9- x dx 11. [ sinycos ydy dx 12 J. (x – 3) x- x 13. [ x +x

A: Use substitutions to integration

Q: 3. Find dy/dx of: x'(x-y)-x-y evaluated at x = 0.001 and y = 0.002

A:

Q: A point is moving along the graph of the given function at the rate dx/dt. Find dy/dt for the given…

A: Given y=2x2+1 , dxdt=2 centimeters per second .A point is moving along the graph of the given…

Q: Ssin (2x)cos(2r)dx

A:

Q: (1+x^2)+(y-e^ Arctan x)dx/dy

A:

Q: A point is moving along the graph of the given function at the rate dx/dt. Find dy/dt for the given…

A:

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

A:

Q: -2.1 1- e* Use Simpson's rule to approximate -dx. x² + 2x – 1 1.2

A: This is a problem of numerical Integration.

Q: dy - cosh x dx + (sinh x)y = e¬x

A: see the details solution in below

Q: ( cos x - 3xy- 2x) dx + (2y sin x – x+ In y) dy = 0, y(0) = e

A:

Q: dy In(5x + 5) Find for y = - dx 3e2x dy dx

A: Given, y=ln(5x+5)3e2x

Q: a) In(x+1)³ dx x+1

A: Given, ∫23ln(x+1)3x+1 dx

Q: A particle moves along the curve y= /1+x³. As it reaches the point (2, 3), the x-coordinate is…

A: NOTE: Refresh your page if you can't see any equations. . the given point is (2,3) so x=2 and y=3…

Q: Ssin^3 (2/3 x) cos^4 (2/3 x) dx

A:

Q: A point is moving along the graph of the given function at the rate dx/dt. Find dy/dt for the given…

A:

Q: dy Y - sin sin-* = 0 ソーx || dx 3.

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Q: 3. Find dy/dx of: x(x-y)-xーy evaluated at x = 0.001 and y = 0.002

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Q: Find dy dx : y = arctan 2+1 x-1 at x = 1

A:

Q: ¹In(1+x) -dx X

A: According to guidelines we must answer only one of the multiple questions given. So, I answer only…

Q: dy - sin x sin y dx = x² cos x siny dx

A:

Q: A point is moving along the graph of the function y=1/8x^2 +3 such that dx/dt = 3 cm/sec. Find dy/dt…

A: NOTE: Refresh your page if you can't see any equations. . take the derivative with respect to t

Q: 9. S sec 2x dx 10. S cos x esin x dx 11. dx x+1

A: Evaluation of the above integration is

Q: 1. Use residues to evaluate 1 : xe dx , (a>0).

A: Let fz=ze-zz2+a2 The poles of the function fz are ±ai Choose the contour C consisting of the real…

Q: (a) Find thẻ đéřivătivė. rivative. 1 y = In(x2 – 6) 3 dy dx (b) Find the derivative. 3 = INVX2 – 6…

A:

Q: 3. Find dy/dx of: x'(x-y) -x-y evaluated at x = 0.001 and y = 0.002

A: The given equation is x2x-y2=x-y2 at x=0.001 and y=0.002.

Q: 7 Find (b) x siny-ycosx-y = 1. dx

A:

Q: A point is moving along the graph of the given function at the rate dx/dt. Find dy/dt for the given…

A: The function is y=2x2+3   & dxdt=4 centimeter per second By using the chain rule Chain rule:…

Q: (1) | cosx In (sin x) dx (2) [ xe -TX | хе dx x (3) x -16 dx

A: As per guidelines, we are supposed to solve only first two questions. Please repost other questions…

Q: 10. Find dy/dx of y= 1/ (tan-1 x)

A:

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.