QUESTION 7 The Final value of F(s) 1. is S+3 0 1

Q: Question 20 How many antiderivatives does a function of the form f(x)=x" have when n*0₂ (A) 1 (B)…

A: Antiderivative means Integration

Q: Question 2 Given f' (x) = e". (x² + 5x + 6), and f" (x) = e" · (x² + 7x + 11), ƒ (x) is O increasing…

A: Problem is related to interval when function is increasing and decreasing......

Q: Question 8 Let f(x)=ax³+bx² +cx+d , where a, b, c and d are constant real numbers, with a±0. How…

A: Given that: f(x)=ax3+bx2+cx+d

Q: QUESTION 4 The derivative of the function f(x) = a' +5 a2 +4 - 4 at a = 0 is 36 -3 O 4 O 129 O 17 61…

A:

Q: Question 21 s(x) dx=A\4= 5x +C, for constants. 3 A and C, what is the value of A? Suppose f(x) = If…

A: Given,           fx=34-5x

Q: Question 2 Let the function P represent the population P (d), in thousands, of a colony of insects w…

A: To find the statements which are true.

Q: D Question 5 Find the derivative of -2x f(x) = x f'(x) = -2x²e-2x (E) None of these f'(x) = e-2x…

A:

Q: Question 18 Find the critical number(s) of the function. y- 3x +30x Select all that apply. 30 0. 3.…

A: We are authorized to solve only 1 question, please repost remaining questions Critical number

Q: Question 19 If f(x) = e2 – 1 and g(x) = In Vx +1 for x > -1, then (g o f)(4) equals %3D O In ve4 +1

A: We can find the correct answer as below.

Q: Question 6 If f(x) = x* - 2, g(x) =x- 3, then (g.f)(1) %3D Oa 2 Ob 1 Oc 2 Od 1

A:

Q: Question 12 If F(x) is an antiderivative of x2 +x1, then what is the value of F(1) - F(-1)? O-1 3

A: If Fx is an antiderivative of x-2+x-1, then to determine the value of F1-F-1.

Q: QUESTION 5 1 is The Final value of F(s) FIE s+3

A: We Use following Theorem to find result.  Final Value Theorem of Laplace Transform  Statement : Let…

Q: Question 8 If u = f(x), then dx = xA + 2x² + 1 +C for some constant k. Compute k f(1)- + 1

A: As per our guidelines I am solving only first question please resubmit other question.  Question 8.…

Q: QUESTION 5 The linearisation of the function f(x) = 5 a2 – 4 a +5 at a = -1 is O [(4) = -14 – 8 O…

A: Third option is correct. L(x)= -14x

Q: Question 11: Let f(x) = |- x +7|-|-3+x|, where r E R. Let Z = {x: f(x) > 0} . Give explicitly the…

A:

Q: Question 3 Describe the long run behavior of f(n) = 3(n – 4) (n + 4)° (n – 3) As n - 0, f(n) → As n…

A: 3) To find the long run behaviour of f(n)

Q: Question 2 Find the value of c which satisfies the conclusion of Rolle's Theorem with the given f…

A: Topic  = Derivative    Rolle’s theorem states that if a function f is continous on the closed…

Q: Question 17 Let f(x) = 4x2 + 4x – 2, x < –1. Find a formula for f-1(y).

A:

Q: Question 9 Ay f (x) =< ; Estimate f (-2) %3D 8-6 4 O -1 -2 O None of these 2]

A: The graph of the function crosses the x-axis when x=-2. Then, the value of the function at x=-2 is…

Q: Question 22 2x+7 The function f(x) = is discontinuous at x equals 3-х (A None of the given choices…

A: Given query is to find the point where f(xk is disconnected.

Q: Question 5 Describe the long run behavior of f(x) - 5(3) – 4 %3D As - O0, f(x) → |? v As a 00, f0 >…

A: See the attachment

Q: Question 425 2 dt, what is F' (x)? (Do not include "F' (x) =" in your answer.) In (t) If F(x)…

A:

Q: Question 7 The accumulation function, F(x), associated withf (t) = 4t³, – 2 <t< 2 is a) 3.75 b) 15…

A: Amswer : Given F(t) = 4t3   , therefore

Q: QUESTION 25 Given the first and second derivatives of a utility function, f(x), for a decision…

A: According to the given function f'(x) and f"(x) and given the condition x is greater than zero we…

Q: Question 7 Given that f (x) = 3x – 2 and ( x + 3 if x > 2 g(x) = Ja| - 3 ifr 2 what is (f + g) (-2)…

A:

Q: Question 6. Given that f(t) = -t+5, find the root mean square of f(t) in the interval 3 <t <7

A: Given,           ft=-t+5 and the interval is 3&lt;t&lt;7.We know that,          The root mean…

Q: Question 5 The equation f (x) = (;)" is %3D O Decay O Neither O Growth

A:

Q: Question 6 The following function is homogenous of degree what? Vx++x²+y? x+y other/not possible 2 4…

A: For the detailed solution of the problem follow the next step.

Q: Question 2 If f(2) = In(x² + 3) then ar f'(x) = r* +d'

A:

Q: Question 4 This function 6x5+ 33x – 30x3 + 100 has three critical points. What are they? O 3/5,5,…

A:

Q: Question 4. Evaluate the following: 1 T2 + 13x +42 as a function of z, to within an additive…

A:

Q: Question 10 Let a be a real valued constant. Then (e-ao -ae-a0. do True False

A:

Q: Question 16 Find the RANGE of the function f (z) = 6z-5 1243z Section 4.2 Oy + 2 O # -4 Oy+ Oy+-4 O…

A:

Q: Question 30 a) If the the average value of the function g(a) 6a-3a over the interval 0,is given as…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Question 6 of 19 Calculate L6 for f(x) = x2 +4|x| over [-2,3] (Use decimal notation. Give your…

A: First find the intervals.

Q: Question 8 The function g(L) = 500L2/3 represents the number 8.1 How many units are produced in one…

A:

Q: Question 15 Given ƒ (2) - This function is discontinuous at the point A O z=0 x = -2 O=12 O == 2 <…

A:

Q: QUESTION 8 The function fix)--4 x-12 x+L, is increasing on the interval OA (-0,-2)U (0,2) OB. (-1,0)…

A: The derivative of a function may be used to determine whether the function is increasing on any…

Q: Question 26 of 32 Find f(-2) for (x) = 5• 3×. %3D 1 O A. 45 О в. -45 О С.-30 D. 5/9

A: We have to find out

Q: Question 9. .6 x° + æ A + BaP f(x) = has f'(x) = where A, B, p, q are integers and p> 0, g > 0. 13…

A: The solution of the problem is given in the next step.

Q: Question 1 3 Determine whether the function (shown in the table below) could be linear or cannot be…

A: Determine whether the function could be linear or cannot be linear

Q: Chapter 4, Section 4.1, Question 036 The figure below is graph of a derivative f'. Select all of the…

A: Observe where f'' is zero

Q: Question 8 Given the function y=x³+x2- 2x+ 1, which of the following statements is true for when x…

A: D)delta(y) almost equal to dy becomes better as delta(x) becomes smaller

Q: Question 8 Suppose that H is a function of r satisfying H'(0) (1+-). N H" (r) – aH'(r) = 0, H'(0) =…

A: Given second order homogeneous differential equation : H''r-aH'r=0, where H is a function of r. To…

Q: Question 8. Given that 4х + 1 cx + 5 a then find the solution x and enter your answer as a function…

A:

Q: Question 8 of 10, Step 1 of 1 Let h(x) = √√x + 5. Find the function given below. h(4n+ 9), n >…

A: Let hx=x+5To find the value of the function given below.h4n+9=?where n≥-72

Q: Question 5 Find the critical numbers of the function, g(t) = tv4 – t where t < 3.

A:

Q: Question 10 What is true about the function ) - A))→0 from above B) Ax) →∞ OC)) →0 from below D) x)…

A:

Q: QUESTION 9 Which of the following correctly describes the end behavior of g(x) = -2x4 + 3x3 - x2 -…

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: