That  f(x) = -2x,    g(x)= |x + 4|, and h(x)2/x-3. Evalute the functions for the given values of x: a)(g º f)(x) b)(g º f º h)(3) c)f(7)

Q: 7. Find all the critical points of f(x) = (x² – 4x – 4) e² %3D and classify them.

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Q: Find the critical numbers of the function.    g(x)=x^4-2x^2+3

A: The given function is g(x)=x4-2x2+3.

Q: Find the critical numbers of the function.   f(x)  = 2x3 + x2 + 2x

A: We find the first derivative using the power rule

Q: The function f(x) = 2x³ - 39x² + 216x 3 has two critical numbers. The smaller one is x = and the…

A:

Q: The function f(x) 2x – 33x2 + 108x – 1 has two critical numbers. The smaller one is x = and the…

A: Explained below

Q: 7. Find the critical numbers of the function. (1) ƒ (x)= x³ + r² – r

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Q: The equation of a quartic function with zeros -5, 1, and 3 with an order 2 is: * O f(x) = k(x - 3)(x…

A: We have to find the equation of quartic function with zeros -5, 1 and 3 with an order 2. Since,…

Q: Show that f (−1) = f (1), but that there is no point in (−1, 1) where f (0) is zero. Why does this…

A: Given: fx=1-x2/3 So, f-1=1--12/3=1-1=0 Also, f1=1-12/3=0 Thus, f-1=f1

Q: The function f(x)=2x^3−33x^2+108x-4 has two critical numbers. The smaller one is x =?    and the…

A:

Q: -1 is a critical number of the function f(x) = V2x + x².

A: derivative

Q: Find critical number of f(x) = x^2 - 6x + 8

A: To find critical number of f(x) = x^2 - 6x + 8

Q: 4. Prove that if f(x) = aox" + a,x"-1+ ...+ an-1x = 0 has a positive root x = xo, then the equation…

A: Roll's theorem: If f is continuous function on [a, b], differentiable on (a, b) and f(a) = f(b) then…

Q: Find the critical numbers of the function. f(x) = 3x + 4x3- 12x2 %3!

A: Given function is f(x)=3x4+4x3-12x2. The critical number of a function f is a number c in the domain…

Q: Find the critical numbers of the function f(x) = 2x3 -15x2 + 36x - 24. O a -2 and 3 O b. 2 and 3 O…

A: As per guidelines we are bound to solve first question only... Thank you

Q: 4. Consider f(x) = 2x² + 3 on the closed interval I = [0, 4].

A: I have Provided this answer in step-2. i have given an only one answer because as per our policy.

Q: Find the critical numbers of the function f(x) =x^6/5-12x^1/2

A: In the given question find the critical point of the given function: f(x) = x^(6/5) - 12 x^(1/2)

Q: (B) The function f(x) = x² + x +1 has no fixed point, prove that.

A: Let X be a nonempty set and f : X → X. A point x ∈ X is a fixed point of  f, if f(x) =x.  If no…

Q: Find critical number of f(x)=x^3-6x^2

A: Given: f(x)=x3-6x2

Q: Find the critical numbers of the function

A: We first find the first derivative using the power rule

Q: 5. Show that the function f (x) has roots between (0,2) x² + 2x – 3 f(x) x - 1

A: To show the f(x) has roots between a and b we have to show that

Q: Find the critical number of the function. f(x) - 3x + 3x2 + x

A: If f'(c)=0, or is not differentiable at c, then c is a critical number. Therefore, we must set the…

Q: Find all the critical numbers for the function g(x) = % xª -- x3 - 5x?

A:

Q: Find the critical numbers of the function.…

A: Critical numbers : f(x)=4x2-6x The derivative of the function is f'(x)

Q: 5. Show that the function f (x) has roots between (0,2) x + 2x – 3 f(x) = %3D x – 1

A: Given that: f(x)=x2+2x-3x-1

Q: Find all the critical numbers for the function g(x) = ¼ x4 - x3 - 5x2

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Q: Prove that f(x)=x^3+x-1 has a root in the interval [0,2]

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Q: ,2 Let f(x) = x – 12x -27x + 1. Find the critical points of f(x).

A: Find the derivative as follows: f'x=ddxx3-12x2-27x+1        =3x2-24x-27

Q: Find the critical numbers of f (x) = x2/3-x

A: We will differentiate the function and equate it with 0. We will again differentiate it to check the…

Q: 4.x +1 1 with f'(x) = 1/ 56x2 - 156x + 115 14x – 19 - - 3. Let f(r) = and f"(x) 4 %3D 3 5 Vr2 – 3x +…

A: To find the points on which it is concave up or concave down

Q: f(x) = x3 + 5x² + 2x

A: Given: f(x)=x3+5x2+2x

Q: Find all critical numbers of f (x) =4x³+3x²– 18x – 2 @ -- (A B -1 D) 1

A:

Q: Find the critical numbers of the function. f(x) = x³ + 3x² – 24x

A:

Q: 2. What are the critical numbers of the function: f(x)=(x² - 4) A. X=0, x=2 and x =-2 В. X30 only С.

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Q: Find all critical numbers of the function g(x) = x^4 - 10x^2

A: Using definition of critical numbers.

Q: Find critical number of f(x) = x^2-7x+8

A: Given function f(x) = x2-7x+8 The critical number is the value of x which makes derivative of f(x)…

Q: Show that the f(x)=x-(In x)^{x} =0, has at least one solution in the interval [4, 5].

A: There are more than one question. We will solve the first one. Given, f(x)=x-[ln(x)]x, we need to…

Q: The function f(x) 2x³ 33x² + 108x - 6 has two critical numbers. = The smaller one is x = and the…

A:

Q: 13,4) f(x.y) =In(x + x² +y² If Find x

A: f(x,y) = ln (x+x2+y2)∂f∂x=∂ ln (x+x2+y2)∂x=1 (x+x2+y2)×(1+12x2+y2)×2x

Q: Find the critical numbers of the function of f(x) = (x^3)/3 −16x

A: Given function is : fx=x33-16x To find the critical number of point.

Q: 5. Show that the function f (x) has roots between (0,2) x² + 2x – 3 f (x) = X - 1

A: Given that

Q: Let f(x)=1x−2 ; for what values of x , f(x) will be discontinuous?

A:

Q: 2. Find all critical numbers for the function: g(x) = x/2x +1 B. 0. ÷.글 1 1 А. - - | 2 3 2 c. - D.…

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Q: 2/3 of f(x) = (x²4)73. (b) Find all critical nurabers

A: There are multiple question. As per company policy kindly ask other question separately. b.

Q: Find the critical numbers of the function f(x) = x – 12x2.

A: This is a problem related to derivative of the function. Based on the general formula we will…

Q: What are the critical numbers of the function f(x)= 2x^(3)-2x^(2)-16x+1?

A: Let's find.

Q: (1) A course repeater claims that his brother who did some Calculus at college years ago, but…

A: We use the Chain Rule, Product Rule and Quotient Rule to check the claim.

Q: If f:[0, 3] → R is continuous, must its range be a closed interval?

A: If f:[0, 3] → R is continuous, must its range be a closed interval