EX, find dy for y=x. Cos'ex - √1-4x² di

Q: 2.2 y = (x³ − 1)(x² − 2x + 1) using the product rule. √1 + tan² x 2.3 y= sec² x

A: solution of the given question is like aS:

Q: DERIVE THE FF. FUNCTIONS: )y (x*+x+1)*: FwO y"

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Q: COS X lim X0 ex

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Q: Integrate the following. - sec²x 3. ( sec?x tanx

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Q: 8. Find for y=√√4x (arcsin(x²+2x)) dx

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Q: Find d coscrin' (-2] the exact value

A: Find the exact value cossin-25.

Q: sin x+3 cosr dx. Determine the following rational function 1+cosx

A: We have to first do partial fraction of the given expression.

Q: For the function y=4 sin (4x+Tt/2) +2 find a ,b & c a e

A: To find value of a, b, c we need to draw the  graph of function then measure the value. Note that…

Q: tan 2x 5. lim→0 sin 5¤

A:

Q: 3. Find S sin5 x cos* x dx.

A: Use substitution method

Q: 2 Ix sin'x COS X x² 2. (x sin?x? cos x? dx

A: ∫ xsin3x2cosx2dx

Q: 4x-6z+5 2+3cosz sin z 9. Find dz.

A: Here we have to integrate the given Integral.

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: Solve the following ODE * (y+x*y²) dx+x dy = 0

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

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Q: Find the derivative of arc cos 4x.

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Q: 9. Use a trig substitution to show that f steps. dx (1+x²)3/2 = √1+2+C. Be sure to clearly show all

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Q: For the given function 6=x²yz C=3x²yi+yz²j-xzk and Find 82 Sysz (c) at point (1, -2, -1).

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Q: 1. Evaluate S sinsx dx .

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Q: Integrate the given function. T/ 20 2 sec 5x -dp- 4 + tan5x 1/20 2 sec 5x 1 5 -In 4 - 4 + tan5x | LO

A: The given integration is: