9. f(x) = x³ + x² –- 17x + 15 10. f(x) = x² – 8x + 7

Q: 2. . If f(x) dx = 4 and 3g(x) dx = -9, evaluate [² [3f(x) + g(x)] dx

A:

Q: 12. What is f( + 1) if f(x) = –4x +17a-3x 4? O 4 -4x 17a2-4x O 4a 5 19x 6 | -4x 21a2 - 3x 6 -4 +…

A:

Q: x2-8 If fx)= X-4 where is f not differentiable?

A: Given the function

Q: What are the critical points for the function f(x) = x³ + 6x² – 36x + 7 X = - 2 and x = 6 x = 2 and…

A:

Q: -Lt-AL -- - .. 2x+2 f(x) = (2)2(x-3) + 2 h(x) = - - 2 Justify: Justify: g(x) = -(x+1) - 2 k(x) =…

A: 1(c)

Q: In Problems 21–32, tell the maximum number of real zeros that each polynomial function may have.…

A: "Since you have asked multiple questions we will solve the first question for you. If you want any…

Q: 8. Find (S+gx). f)- Sx - 9x + 8 g(x) - &r - 7x +2 A) (+ gKx) - 13 - 16x + 10 B) (+ gXx)--3r-2r +6 C)…

A:

Q: #20

A:

Q: 19. f(x) : х — 2 x² - 4 20. f(x) = х — 2 (2r 15 if v-

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Q: Solve the equation below giving an explanation. Thanks.

A:

Q: 6. f(x) = x + ty -41 -4-2 0 2.

A: Solution: The objective is to graph the given linear function

Q: Graph the following functions.

A: the given function is: fx=2x+2,         if x<0x+2,          if  0≤x≤23-x2          if  x>2 we…

Q: If S(16x* – 16x³ + 4x²)dx = F(x) + C, then F(x) = 16 A 5 B (4x²– 2x) 3 16 5 3 16 5- 4,3-4

A:

Q: 8. f(x) = 2x +9x + 4 x² -16 a) HA at b) VA at (2x+1)(x+4) (x+4)(x-4)

A: From the given function: fx=2x+1x+4x+4x-4 As we know that for vertical asymptotes , equate…

Q: 13. If f(x) = 3x -4 the equation for f¹(x) is 0y=x+3/ 3 Oy=1/x+³/ Oy=4x+3 Oy=3x+4 4

A:

Q: dæ - x² – 10a – 21 -x – 3 - In x + 7 -æ – 3 -In +C +C x + 7 A x + 7 æ + 7 -In -x - 3 +C -In -x – 3…

A: Here we will solve the given intigral,

Q: 2. 1. f (x) = x° – 4x – 5 g(x)3Dx5 a) Find(-)æ x + 5

A: Consider the functions

Q: 3 fx} -1 2 4 5 -1 f(0) = 3 f(x) = 0, x = f-'(0) = f-'(x) = 0, x = 3.

A: we have to find the following

Q: -1. f(-8) – 4 g(4) = 8- y = 9(x) -8 -6 -4 6. -6- y= f(x) 6.

A:

Q: Suppose 3x2 – 3x + 8 - f(x) : x (x2 + 4) Then A f(x) Bx + C | x² + 4 where A = and B %3D , and C =

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Q: Determine the critical points of f (x) = 5x ^ 2 + 4x.

A:

Q: 13, Consider the function f(x) = x + 4x2 + kx - 4. The remainder from f(x) (x + 2) is twice the…

A:

Q: (z+ 1)호(22-2z +3)호 (a2 – 4x + 8) When f(x) = find f'(1). %3D - (2전)

A: Given,         fx=x+112x2-2x+332x2-4x+812

Q: (3x +2 ifx 3 3. f(x) = x/|x| with a = 0.

A:

Q: x'-x+2 If fx) =ア+7 6. , find f'(x). (5x-1) (A) (3x) (x'+7)(5x-1)-(x'-x+2)(3x) (x+7) (B)…

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

Q: 4. If f(x) = -6x and g(x) = -6x %3D 203 2x+3 and g(x) = 3x 5. If h(x) = %3D

A: The solution are next step

Q: I need help with number 21

A:

Q: Analyze the critical points of f (x) = x3 − 27x − 20.

A: Critical points of a function at which f'(x)=0 or f(x) is not defined.  f(x)=x3-27x-20 f'(x)=3x2-27…

Q: h(x) = x4-x3 + 7x² - 9x-18 14 f(x) = x$ – 20x3 + 20x2 - 21x + 20 2nobuloe to 1odmun erd yluns

A:

Q: Suppose g(x) = x² +2, then g(x+h) will yield to A x+2xh+h2+2 B x²+2xh +h+2 x2 +2xh +h2 +2 x²+2x+h?…

A:

Q: 3. Differentiate. x²e* f(x)%3= x² + ex

A:

Q: 3 if x < -2 if – 2 < x < 3 -2x + 3 f (x) = 3 х — 2 z*ー2 if x 2 3

A: see 2nd step

Q: 4. y 9x-x5+x %3D 5. f(x) = (x- 1)2(x+ 2)2

A: The given polynomial functions are: 4.y=9x2-x5+x95.  fx=x-12x+22

Q: Suppose 2<f'(x) < 4, for -1 sxs1. Then f(1)- f(-1) is between A) 4 and 8, B) 8 and 16. C) 0 and 4.…

A: Given  2≤f'(x)≤4 for -1≤x≤1Then We know thatf(1)-f(-1)2=f'(1) (by definition of derivative)We know…

Q: (2x +1 if x<1 F(x)=1-2x +3 if x21 2. f(-2) = f(6) = f(1) =

A: Here we have to find the value of the given function at the required points. Initially we have to…

Q: If x = xf(y)- 1 then, 1-f(y) 1. y - 1-f) xf') 2. y = L)-1 xf G) 3. y--fo) 4. y =-f)

A: Given x=xfy−1 Use formula  ddxxn=nxn−1 and ddxc=0, where c is a constant. Differentiate  x=xfy−1…

Q: f(x)=x^4-x^3-12x^2

A:

Q: f(x)=2/5- x +2 Ay 10– 8- 6- 4- 2- 8 10 12 14 -4 -2 -2- 2 4 -4- -6-

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: In Problems 21–32, use Descartes’ Rule of Signs to determine how many positive and how many negative…

A: Use Descartes’ Rule of Signs to determine how many positive and how many negative zeros each…

Q: 8. Suppose that 2+ V4 - x2 -2 2 If F(0) = 2, find the maximum value of F(x).

A:

Q: 21 If fx)3then f(x) O 2x-2-1 3x 2x-3r2-3 3x O 2x-3x2-3 6x 2x 3x+2 O 2x-x2-1

A: Find the derivative of the given function.

Q: For f(x)=3xv(4-x²) determir within its domain..

A:

Q: -8- -7 -6- 5- y = f (x) 3- -2 sy = g(x) LO 4-

A:

Q: Determine {F}. F(s) = 7s² - 13s +2 s(S-1)(s-6)

A: Let 7s2-13s+2s(s-1)(s-6)=As+Bs-1+cs-6       ⇒7s2-13s+2=A(s2-7s+6)+B(s2-6s)+C(s2-s)       ⇒A+B+C=7…

Q: 1. f(x) = -2x 2. f(x) = -2x + 2 3. f(x) = -2x² – 5

A: Given: fx=-2x, fx=-2x+2, fx=-2x2-5 We know that ddxxn=nxn-1…

Q: -9x(x-2) 8. g(x)=(x²-3x² +1)* 8'(x) =. (2-3x²+1) 2x+1 (3x-1) 9. f(x)=2 _ 6(x² +10x+1) (x+5)* f'(x)…

A:

Q: -3x +4, x < -2 2²-2, x2-2' If f (x) = find f(-2). %3D

A: Given To evaluate  f(-2)=?

Q: 1. f(x) = Vx2 – 4 (x²–9) 2. f(x) х+3 х+8 3. f(x) x2 +x-2

A:

Q: Suppose that f(r, y) = x² – xy + y² – 4x + 4y with – 4 < x, y < 4. -

A: 1.)  Given Function is  f(x,y) =x2-xy+y2-4x+4y  with  -4≤x,y≤4  Then, fxx,y=2x-y-4…

Q: 2х—4 -? x² - 5x 8. What x-value(s) are excluded from the domain of f(x)= 2

A: Domain  set of all input values where function defined