10. Consider the functions Ax) = - (x*) + 6x and g(x) = x - 9x + 1. Which of the following is true a A-3) > g(-3) A4) < g(4) b f0) = g(0) d A-2) < g(-2)

Q: Find critical number of f(x) = 5x^2-8x+1

A: Given,          fx=5x2-8x+1

Q: Which value of c satisfies the conclusion of the MVT for the function f(x) = -6x²-3x - 2 on the…

A: Solution-

Q: 4 Determine if f (x) = - 2x if x 1 is differentiable at a = 1.

A:

Q: (1) Find and classify the extremes value of f(x)=6x* – 4x° over the interval [-2, 2].

A:

Q: What is the local maximum value of the f(x) = x3 - 3x +2 on [0.5, 4]

A: We are given the function  f(x) = x3 - 3x +2 on [0.5, 4]. Here, we need to find the local maximum…

Q: 2 - ) at x = 4 1+ x)

A:

Q: Find a polvnomial f(x) of degree 4 with real coefficients and the following zeros. 3,-4, 2+i 1) - 0…

A: Given,  The zeroes of the 4 degree Polynomial f(x) is 3, -4 , 2+i and 2-i.

Q: 6. Let (1- x2, if x 1 Find f (-1)

A: 6.  Given that , f(x) = 1-x2    ; if x≤12x+1   if x&gt;1we have to find f(-1)

Q: [3, 5]. - Calculate Rg for f(x) = 7 – x over R8

A:

Q: (3) Show that the function is discontinuous on the specified interval. Vx2 - 64 if x < -8 if -8 <x <…

A: Note: According our answering guidelines we have to answer only one question (if there are multiple…

Q: 9. Use the Intermediate value theorem to show that f(x) = 2x( – 3 has a zero in the interval [1,2].

A:

Q: 0.2 Differentiate In x+1, with respect to x. x²-x+1

A:

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

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

Q: 9. The interval for function (6-x)/4< (3x-4)/2 is

A: Find your answer below

Q: 8 Describe the long run behavior of f(x) = x° – 5x* + 5æ° – 1 - - As x → - 0o, f(x) → ? As x → 0,…

A: Given  f(x) = x8-5x4+5x3-1 We have to find the end behavior of the function.

Q: 5. [ 4 ifx2 Show that f(x) = is not differentiable at x = 2.

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

Q: 2) Find FCO), if it exits Punctien f(z) - 2 if x raticnal if x irraticnal

A:

Q: 4. Determine the number of zeros of the function f(2) = 224 – 2iz³ + 2² + 2iz – 1 in the upper…

A: The complete solution is in given below

Q: how that the function  f(x)=x3-3x2+3x-100 is increasing on R

A:

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

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

Q: 15. Given , find f- (x) = Vx+ 7 and the domain of f-1 (x). Of-" (x) = x³ +7 with domain for f-l (x)…

A: In the question we have to find inverse of the given function and domain of the function.

Q: What is the x=g(x) that will diverge the root of f(x) = x3 + 4x2 - 10?

A:

Q: 2) State the intervals of concavity in the function f (x) = x3 + 2x2 – 4x + 5.

A: We have to determine the intervals for concavity of the function: fx=x3+2x2-4x+5 To check the…

Q: 17. Find the end behavior for f(x) = -3x - 2x -7 A. x- +o, f(x) +0 x -o, /(x) - - B. x-+o, /(x) -00…

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

Q: Find the greatest and least values of f(x) =x' –- 3x² +1 on the interval of [-3,2]

A:

Q: 1 If f(x, у, 2)- ôf then х— у—3z ду а. 1 (х- у-3-)2 b. -1 (х-у-3-)* С. 1 (х-у-3-)° d. 2 (х - у-3-)?

A: In Partial differentiation w.r.t y we treat x,z as constants.

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: 4. Differentiate the function. (1) f(x)= in x (2) f(x)= In{x (3) f(x)= In- 2x²(x+2)³ (3x- 2) (4)…

A: HI there, At a time we can answer only one question. So, I have answered first question.

Q: 8 — х — x2 if x 4 -

A: f(4-) = 8 - 4 - 16 = -12 f(4+) = 2*4 - 20 = -12 f(4) = 8 - 20 = -12

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

A:

Q: The sum of all the critical numbers of the function f(x) = x4 - 10x2 is what

A: Given function is fx=x4-10x2 To find the critical points we differentiate the given function with…

Q: 1. What are the critical values of f(x) = -8x-x² +

A: On solving this we will get

Q: + 2x if xs -1 if -1 1 f(-4), f(-}). (-1), f(0), f(25)

A:

Q: Find the DOMAIN of 8z-24r-320x f (x) = 7z+28z2-315z Section 3.4 O + -5, 9 O+0,-5, 8 Ox+0,-5, 9 O…

A:

Q: Which of these is fixed point equation for f(x) = x*+5x²-x-3. O f(x)=-x = x*+2x²-x-3 O f(x)=|x |=…

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: The critical point of the function f(x) = x³ – 5x² + 2x – 17 is %3D - o (용, 1) ㅇ (름, 1) o (음,-1) (금,…

A:

Q: [1, 2). over Calculate M6 for f(x) = 3 · In(x³) M6

A:

Q: (1) Find and classify the extreme values of f(x) =6x* -4x over the interval [-2,2].

A: We will answer the first question as we don't answer multiple questions at a time. Please resubmit…

Q: Find the absolute extreme values of f(x) = 2x3 - 6x +3 on the interval [0, 3]. |

A:

Q: Find critical number of f(x) = 4x^2 + 8x -1

A: We have to find critical number of  f(x) = 4x2 + 8x - 1 To find critical number, differentiate f(x)…

Q: Show that the equation x - 17x +c = 0 has at most one solution in the interval [-2, 2]. Let f(x) = x…

A: The given equation is : fx=x3-17x+c The given equation has at most one solution in the interval…

Q: 9. Discuss the continuity of the function x 2 x2,

A:

Q: point =)=at x = 2 -5 at x = -2 x² +1

A: Solving

Q: ,3]---->R F(X)=2X-3 من المعلومات .A (7,5-, 3-, 1-, 1,3) .B (-7, -5,3-, 1-,1,3-) .c (-7,-5,-3,-1, 1,…

A:

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.