The function f(æ) = 2x³ – 27x? + 48x – 7 has two critical numbers. The smaller one equals and The larger one equals Hint: Factor carefully.

Q: If Fx) is an antiderivative of x2 +x1, then what is the value of F(1) - F(-1)? 3

A:

Q: 1 Find Vf if f = 2 /x²+y² +z?

A:

Q: The function f(x) = 2x? – 332? + 144x – 10 has two critical numbers. The smaller one is æ = and the…

A: Please refer the attached image for complete solution.

Q: 7. When the function f (x) = 6x* + 11x – 22x² + ax + 6 is divided by (x+1), the remainder is -20.…

A:

Q: The domain of the function f defined by e5x+3y+9xy5 f(x, y)= √130-5x²-5y² is equal to: In D = {(x,…

A: We are given the function all for two variable for which we need to verify if the given set is…

Q: Find the extrema of f (x) = 2x3 − 15x2 + 24x + 7 on [0, 6].

A:

Q: 2. If f(x) = -x² +2x+7 and g(x) = 5x+9, find f(x) +g(x). A x +7x+16 B x - 7x-16 C 10x+63 D -x +7x+16

A: We need Addition operation on these two functions

Q: (b) Let f(x)=√x and g(x) = 2x+5, find: (1)fog(x) (2)gof(x)

A:

Q: If f(x)%3D3X2 4x+2, wha a. -7 b. 0 С. 7 d. -1 e. 1

A: Given:fx=3x2-2 and gx=4x+2f+g-1=

Q: Find the antiderivative of f(x) = x³ – 6x +7

A: fx=x3-6x+7 to find the antiderivative, we need to take an integration Fx=∫ fxdx

Q: Find the points of discontinuity for 3(x+2)2 x3 + 4x2 + x – 6 a) h(x) = 6х— х2 b) f(x) = 9 – x2

A: we will find domain in second question and then find discontinuos  point.

Q: The antiderivative of the function f(x) = +11x is -5 + 22.0x2 + c 5.5z? +c 11 + 2.5x? +c -5 + 5.5x?…

A:

Q: s x−1 a factor of f(x)=4x^3−8x^2+8x−4​?

A: Given: To find whether x−1 is a factor of f(x)

Q: Find the value of c when f' (c) = 0 for f(x) = 3x² – 12x + 9, where 0 < x <4 а. 2 b.3 c. 0 d. 1

A:

Q: Use Horner's method to find po=2, Q(2) where f(x)= x³-2x2-5

A: the given polynomial is f(x)=x3-2x2-5 rewrite in standard form f(x)=x3-2x2+0x-5 to find the quotient…

Q: Use Descartes's Rule of Signs to dete 17) f(x) = 3x -5x4 + x + 10

A: Given:   f(x) = 3x7 - 5x4 + x +10

Q: The antiderivative of the function f(x) = x2 + 9x is. -5 + 18.0x? + c -5 4.5x? + c -9 + 2.5x² + c -5…

A:

Q: Let h(x)=−2x2+x+4x2+4x−1, what is h′(−5)?

A:

Q: f(x) = { kx+3, IF X<2 LyK-3x, IF X72

A:

Q: If f(x) = x³ – 2.x² +3 , the only point where f could change the concavity is 2 b) x =- 3 a) x =- c)…

A: Finding the inflection points

Q: Find the most general antiderivative of the function. f(x)= 8x-11/10

A:

Q: a. The f'(3) for y = v2x² + 7

A: Since, y=f(x)=2x2+7 -(i)Differentiating equation-(i), with respect to 'x', we…

Q: The antiderivative of the function f(æ) 6. + 8x is. -6 + 16.0x? + c -6 4.0x? + c 6 + 4.0x² + c -6 +…

A: We have to find the antiderivative of the function f(x) = 6x2 + 8x

Q: Find the antiderivative of f(x)=x3−6x+7

A: Given: f(x)=x3-6x+7

Q: For the function 3, ²8a+21, 2x f(x) = 7, 0 < x < 4 x = 4 4 <a

A:

Q: f(x) = 15- (3-t)(r - 8t + 7)

A:

Q: The critical points of the function f(x) = 4x³ – 48x +1 are a. 2,– 2} b. d.

A:

Q: 3. Given the function f(x) = 4x^2 + 10x + k, find k when f(x) is a perfect square.

A:

Q: Q 4. (a). Show that fog = 4x² – 1, if f(x) = 4x – 5 and g(x) = x² + 1.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Evaluate f (2) for the square root function f(x) = V5x + 6

A:

Q: The Cobb-Douglas production function for a bicycle company is given by f(x.y) = 21x°*y0, where x is…

A: We have to find the total productions of bicycles.

Q: How do I find the possible inflection points of f(x)=a/((x^2)+(b^2))? It also states a and b are…

A: To find point of inflection we need to find x from f"(x)=0

Q: Find the given value. f(x) = 1 – x², "(-v5) "(-v3) = C

A:

Q: 33. Given the function f(x,y) = 3x – x³y² + 2x³y, what is A. 3– 2ry + 6x²y B. -2ry + 2r C. 3 – 2ry²…

A: From the given function; fx,y=3x-x2y2+2x3y As we know that, The Power law: ddxxn=nxn-1

Q: Find the approximate value of f (3.02), where f(x) = 3x2 + 5x + 3.

A: Given

Q: The antiderivative of the function f(x) 6 + 8x is -8 + 3.0x2 + 6 + 4.0x2 + c 6 + 16.0x? + c -6 4.0x?…

A:

Q: b. Given f(x) = 3x + 2, g(x) = 2x² – 4x and h(x) = x-x+ 7, find (g + h) (-1/2). %3! %3D

A: Given: f(x)=3x-2, g(x) = 2x2 -4x and h(x) = x2 -x+7 To find: g+hf-12 This can be defined as follows:

Q: Find the value of c when f' (c) = 0 for f(x) = 3x² – 12x + 9, where 0 < x < 4 а. 2 b.3 с. 0 d. 1

A: Given that: f(x)=3x2-12x+9

Q: If FIX) is an antiderivative of x-2 + x1, then what is the value of F(1) - F(-1)? A) 3 (в) -2 -1

A: Solved below

Q: Find the derivatíve of the function. p(x) = - 12x + 4x 2/3

A:

Q: Find f'ox) for the Jollowing funchion. f(x)=x²ln 9X

A: As we know that; The Power law; ddxxn=nxn-1 The Product rule: f·g'=f'·g+f·g' The Chain rule:…

Q: Find the value of x and y for f(x)=3x2+9xy-y2-9x,if fx(x,y)=0 and fy(x,y)=0

A:

Q: The antiderivative of the function f(x) = .8 + 10x3 is. %3D

A:

Q: 4 f(x) = 2x + 7m (т — х)2

A: For m=9, to to find the extrema of: fx=2x+7m-4m-x2

Q: 7. Find y"' of ƒ(x) = 5x* + 4x³ – 7x2 8. Find y* of f(x) = x* – 5x? + 12x – 3

A: Take derivative 3rd time to given function In question (7) and 4th time to given function in…

Q: Let h(x)=−2x^2+x+4/x^2+4x−1, what is h′(−5)?

A:

Q: Find the points of discontinuity for 3(x+2)2 a) h(x) x3 + 4x2 + x- 6 6x- x2 b) f(x) = 9 - x2

A:

Q: If f(x) = x²+4 and h(x) = 3x – 4, what is f(h(x²+4))? O9x*+68 O9x* + 60 O9x*+ 48x2+ 68 Oex*+ 48x? +…

A: