QUESTION 3 Find dy/dx if cos(xy) = 2xe2y + In(2y) by using implicit differentiation. %3D

Q: Use..U. substitution. to. find each antiderivative. -48x 5-3x4 dx -3-

A: *to find:- integral value of the given function using substitution method.

Q: 12. y = −3 cos (0 + 1) − 2 Amplitude: Period: Phase Shift: Midline:

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Q: nasin(hx) cos(bx)dx

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Q: Question dy Using implicit differentiation, find dx 3 cos (2x) sin (3y²) = 1 – 5x Provide your…

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Q: 14. S4 cos (-3x + 2) dx

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Q: Question:4 Calculate by implicit derivatives (tan x)" + ycotx + sinxy – exy – In2 = 0 - dx

A: The given function is tanxy+ycotx+sinxy-exy-ln2=0 Now, we find the derivative of each term…

Q: Find ∫e^(2x)sin(2x)dx

A: Given: ∫e2xsin(2x)dx

Q: 1+ cosx dx =0 2

A: Here we use the trigonometric identity to solve the given integral.

Q: c- S cos(Inx).dx

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Q: S cos 4x cos 3x dx

A: We need to evaluate integral.

Q: S sin5x cos³x dx

A: Given∫sin5xcos3xdx

Q: х cos(5x) dx —

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Q: Find integral.

A: Consider the indefinite integral ∫-6x cos 5x dx Use the integration by parts to solve the indefinite…

Q: 1 dx 6- cos²xsin²x

A: use trigonometric identity to prove the integral

Q: 28) y = tan² 2 29) y = In ln x 30) y = (x In æ)²

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Q: Work Problem 1( Use implicit differentiation to find dy/dx where x+7y10 = 3

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Q: Cos^3(3x) dx

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Q: QUESTION 1 Find (1+2x) In5x² 2x) In 5x² dx by using integration by parts.

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Q: Question:4 Calculate dx by implicit derivatives (tan x) + ycotx + sinxy – exy – In2 = 0

A: Differentiate the equation implicitly:

Q: Question 2 Find the derivative of f(x) = x³ cos(x)

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Q: S cos(7x) cos (18x)dx

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Q: A. sin(3x) dx

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Q: S cos" (3x) dx CoS

A: Apply integration by parts

Q: Grade: 107.5/156 Print Version dy sin(5æ) Find for y dx dy Preview ||

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Q: Use. U substitution.. to. find each. antiderivative xp. X. 4x +5

A: To evaluate the given integral

Q: 3x Cos 2x dx

A: Simple use integration by parts method.

Q: Question 4 Solve y at x=1. dy/dx - 2(x+1)^3 = 4y/(x+1)

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Q: cos(3x) dx

A: answer is in next step

Q: 5: - S cos(lnx).dx

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Q: cos 6x cos 2x dx

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Q: Question 10 Calculate the second derivative of the function y= In(cosx). -csc2x -sec?x c) cscx D)…

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Q: x5-3 14. S4 cos (-3x + 2) dx

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Q: ∫cos^4 2x dx

A: Please see the answer in step 2

Q: Question 9 Find the derivative of y=e^ cos2x, and use it to find the equation of the line tangent to…

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Q: QUESTION 2 Find % for the equation y = cosh (2x)tanh x - %3D dx

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Q: | cos x dx ile ( Jcos x| dx

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Q: Question The derivative of the function y = cos(xln 3) log3(sin x) is:

A: We will find the derivative.

Q: QUESTION 3 Find dy/dx if sin(2x) + e = 2xy+ In(2y) by using implicit differentiation.

A: Use implicit differentiation

Q: -3x cos (5x)dx

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Q: QUESTION 4 Solve x - 3 -dx J x(x – 1)(x – 2)'

A: We use partial fraction method and Logarithmic properties

Q: [cos 3x cos 4x dx

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Q: Question 10 evaluate ſ inx dx A secx - tanx + x + C B secx + tanx - x + C secx + tanx + x + C secx -…

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Q: (1) S cos(7x + 5)dx

A: We need to integrate the given terms.  For this we will use substitution method.

Q: 1) cos? 2x dx cos ? 2x dx

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Q: cos(3x + 2) dx

A: This is based on simple integral formula

Q: Se-3x cos(5x) dx

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Q: Question 12 Find the 2nd derivative (y") of y=√x ln x In 2

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Q: Question 4 Differentiate each of the following with respect to x using implicit differentiation. xy²…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…