1. f(x) = x7.² + 2x². - x−5+4x − 1 2. g(x) = 5e* — x² + e 3. u = √√√√³+√t + t -

Q: Suppose u(x)=√√x. Then, A 2x B с 1 2x -2x u"'(x) u'(x)

A: Given

Q: S (et +3e²x) dx 2x 5+4et-e²x

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Q: a. Let f(x) = (-4x² + 3) (-4x² − 3). - Then f'(x) = b. Let g(x) = 2√√x + 3 x4 +2x² Then g'(x) Hint:…

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Q: 3x +2 J. - dx. (x² +9)(x– 4)x 10. Find the principal value of

A:

Q: 6. f (x) = 7x − 4 (c) f (b)

A: Here function as fx=7x-4

Q: (x-2)² + (y+1)² =16, find- A. 16 (y+1)³ d²y dx² B. 16 (y +1)³ C. 16 y³ D. 16(x-2)² (y+1)³

A:

Q: Solve for z when f(z) = 0 where f(z) = 12z² + 25z + 12. Z=

A: We can find the value of 'z' by solving the quadratic equation in the below steps.

Q: 5X²4 JIXTEE 5. Factor the following special polynomials (perfect square trinomials and difference of…

A: Since, you have asked multiple questions as per company guidelines we will solve the 3 parts of fist…

Q: If f(x) = 2−2x, what is f(−4)?

A: The explanation of the solution is :

Q: 2 [+√²-1)dx (4) »

A:

Q: If J x° e" dx = e (A) + c, where c is a constant. Then A = Select one: a. x3 – 3x2 + 6x + 6 b. x3…

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Q: 1/2 S x²√1-x²dx. 0

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Q: Solve (√x+x)=√y+y Select one: O a. y (c(1+√x) + 1)² O b. y = (c(1+√x)-1)² O cy=(-c(1 + √x) + 1)² O…

A: The given equation is; [sqrt(x)+x]dy/dx=sqrt(y)+y.

Q: √√x²+2x dx= Select one: a. None of them b. (x + 1)√x² + 2x - 1 In ( x + 1 +√x²+2x() + C C. 1 +In 1 1…

A: The integral we are trying to solve is ∫√(x²+2x) dx. This is a non-standard integral and requires…

Q: 34. f(x)= x+2 2x+1,8(x) = √√x. (fog)(x) = 32 (*)(**)

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Q: need

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Q: - Find (a) for dr (b) fxºdx (c) [10e-de 10eª0dx

A: we can answer only three subparts, or the first question and the rest can be reposted. No more than…

Q: A) a B) b ²¹dx = √( + g(x)) dx, then A + √² g(x) dx is equal to x³+x A. -1 B. −1+In(5/2) C. 1 D. -1…

A: Given; ∫x2-1x3+xdx=∫Ax+gxdx   As we know that; ∫1ax+bdx=1alnax+b+C

Q: f(x) = x² + 2x-1

A: If you like the solution then please give it a thumbs up.... The Answer is:    Explanation:   (1)…

Q: 5-2x 13. f (x) = 3+2x

A: Given: f(x)=5-2x3+2xwe know that defination of derivative is…

Q: Suppose f(x) = 9x 2 and g(x) = Vx – 2x + 6. - - (f o g)(x) = (f o g)(2) = %3D

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Q: Find all rational roots of f(x) = 3x3 − x2 + 15x− 5.

A: The objective of this question is to find all the rational roots of the given polynomial function…

Q: Find f −1(x). f(x) = 3x − 8 f −1(x) =

A: Given:

Q: 1. Let f(x) = 3x2 and g(x) = x - 2. a) Find (f o g)(x). %3D %3D

A:

Q: Find f(x+h)-f(x) h 2 f(x) = 5x + 14x-13 OA. B. 10x+14+5h 2 10xh + 14h + 14h² C. 10x+14 OD. 5x+6+ 10h

A:

Q: Question 2 Find for dx (a) y=(5x³-3)(x²+4x-1) (b) y=√x(2x²-3) dy (a)=25x¹+80x³-15x² - 6x - 12 A dy…

A: Solution