Show by change of variables that T(x) ₁²²-1₁-²² = 2√₁ 1²²-¹6-²³ dt = 1²e²¹e²" du. Love ехи ее u

Q: -8 dx

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Q: (3 Ln3 Se ad et +y -4n3 dx 2LnX e .dx 2₂2 √√2 Sxe (4) _x xé dx [Lnce)-Lnce") dx

A: As per our company's guidelines, we can solve only three subparts, please repost other parts as the…

Q: Q2. Find the value of first and second derivative For the equation x² + xy-y²³ = 2/₂² at (1,1). 3 ऋ

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Q: 6 5 2 2 Compute √(√x² + ²-3 + cse²x)dx.

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Q: (2x+3) 8. S- (x2 +x+2)2

A: Let's find.

Q: Let y = Arcsec (cos² 3x). If y '= == A (B C) D) - 6 tan3x - 3 sin3x - 6 sin3x cos3x N 2 cos3x D and…

A: Note: As per our guidelines we are supposed to answer only one question if there are multiple…

Q: hy there's no 3 in the denominator in your dt equation?

A: Here in the solution  gives  Its correct

Q: Solve for the 2"nd derivative of the function f (x) = 3x5 – 4x3 + 7x² – 10. a. 15x* – 12x2 + 14x b.…

A: Given: fx=3x5-4x3+7x2-10 To Find: 2nd derivative of the given function

Q: Find the derative: yain Jx2+4x+1 derivative.

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Q: 3 1 13. Jisc(2)csc (2x)cot (2x)dx cresc 8 Type. U = U' =

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Q: d? -(sin-'(x²)) dx2 2– 4x4 A 3 2– 2x4 B 3 2+2x4 3. 2+4x4 D

A: Here we have to use the concept of derivative

Q: n/3 sec23x 8. n/4 2+4tan 3x dx

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Q: how

A: Que seems some data missing. Though I have simplified the given expression as much as possible.…

Q: Solve (5.(x) ox 7 1 xx+

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Q: 3. Find the second derivative of y= xlnx

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Q: 3x2 dx 1. J3-5 2. S 2x dx x2-1 2x-2 3. S x2-2 4. S 5x-6x dx x5-3x2 5. S 10x*+3x*+4x dx 2x5+x3+2x2

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Q: 01/ Evaluste the following integrals (four 9-x2 secx da O Sex dx secx ,dx *(x+2) * 4x-16

A: According to our company's guidelines I can only answer first three subparts of the question since…

Q: m'+4m (1-m*)7

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Q: – 4y = x4

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Q: Find y' and y" for x² + 2xy − 3y² = 41. Simplify. -2x - 2y 2x - 6y y" = help (formulas) y' help…

A: Given query is to find the second derivative of the expression

Q: Find the derivative. ya 7 lnx Ox7-1 O 7ex7 x 07x Ox7 et dt

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Q: 1. /2х— х2 dx

A: Given ∫2x-x2 dx The given term can be rewritten as ∫2x-x2 dx= ∫2x-x2-12+12 dx so we get…

Q: у 3 2Таn(0.5х) — х II

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Q: TV Cos X 4-3 Sin x dx 2. Calculate

A: Solution

Q: x3 – 3x2 – 6x - Show that - = x-3 - x2 – 9 x – 3'x +3* - - x3 - 3x2 - 6x -dxp. Hence, evaluate x2 -…

A: To show: The equation x3-3x2-6xx2-9=x-3-3x-3+6x+3 and then evaluate the integral ∫x3-3x2-6xx2-9.…

Q: Solve the IVP y' = [, y+,yc0) = [2]. [et y + -1 3.

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Q: In2 ln 2 1 y ST 0 yexy dxdy

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Q: d²y Find the second derivative (Notation: 2 or y') if xy = y² + 2. Simplify dx² until there are no…

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Q: If u(x) = x3, then du = 3x2.

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Q: 3 2. xdy + y = xy²³ ху dx

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Q: 1. Find the derivative of (a + 3x + 8) (3x' - 7x + 2).

A: The given function is x2+3x+83x4-7x+2

Q: Find the Derivative

A: The derivative of a function with respect to a variable is equal to the instantaneous rate of change…

Q: (x) dx = 6 and f(x) dx = 10 , then +3] dx = %3D 2

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Q: Find the second derivative. 3 y = 8x 2 - 4x²³² + 3e*

A: Given a function,y=8x3−4x2+3exTo Find: the second derivative.