Question 8 If f(x)=x2 +x and g(x)=x-1, then fog(17)=.. OA 20 O B. 0 Oc.17

Q: QUESTION 4 A half range periodic function is defined by f(x) = TTX - 0≤x≤ , f(x) = (x <x<T <X

A: It is frequently essential to acquire a Fourier expansion of a function for the interval (0, p) that…

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: The graph shown below is f(x) = 2 cos x. If g(x) = Sřf(t)dt , find g '( 1 ). %3D 4 3- 2- 54 3 2 -1 1…

A: Use the Newton Leibniz Theorem and calculate the derivative.

Q: Question 2 Find the value of f(z) = z3 +z as z-i along the paths (a) parallel to the x-axis coming…

A: Given  f(z)  =  z3+ z To evaluate the limit of f as z → i  along two different paths

Q: Question 4 (1 point) Saved Let x and y be functions of t. Given y = x9 and Find when x-1 8. O2 none…

A: Here I am attaching image so that you understand each and every step.

Q: Question 11 How many critical points does the following function of 2 variables have? g(x, y) = y³ +…

A: Solution

Q: Question 3 .2 If dx F(x)=f(x) and F(– 1) = F(2)= –5, then f(x)dx%3D

A: To solve the following problem using fundamental theorem of Calculus

Q: Question 7 Suppose that f is differentiable on (-o, 00) and f(-1) = 3. If f'(t) >-5 for all te R,…

A: Lagrange’s Mean Value Theorem : Let f be continuous over the closed interval [a, b] and…

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 3 xy Let f(x.y)= x² +y lim f(x.y) along the path y= mx, for any constant m. Find (x.y) -…

A:

Q: QUESTION NO 1: Check the differentiability of the Heaviside function at t=0 t >0 H(t)=0 ift < 0

A: Given : The Heaviside function is : H(t)=1           if t≥00           if t&lt;0 We have to check…

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:Find the value of constant c, if f(x) is continuous at x = 2 |cx? + 2x if x 2 -

A: Given that: f(x)=cx2+2x    if x&lt;2x3-cx      if x≥2

Q: Question 2. The domain of f(x, y) = ln xy is . and the domain of g(x, y) = In x+ln y is . . ........

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

Q: QUESTION 6 The graph of f(x)=X x2 -1 is concave down on interval OA (-1,1) OB (0,1) OC(-1,0) U (1,…

A: Given that fx=xx2-1 find the concave downward interval

Q: Question # 3 3x² + x ((x)= 2x If for x +0 (5(0) = k , and if f is continuous at x = 0, then k = (A)…

A: Solution:- The given function is  f(x) =3x2+x2x       for x≠0f(0)=k          f is continuous at x=0…

Q: Question 7 Integrate the function. x + 6 dx *+3Xx +5) (A (x+3)3 X +5 +C x+5 X+3 (x+3 X+5 x+ 3)3 In X…

A:

Q: Question No. 03 Let f(y) = Vy and g(y) = y +1 Find..... i). f(g() =? i). f(g(4) =?

A: Find f(g(y)) and F(g(4))

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 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 8 Graph the function f(x) = u₂(x) ln x + u5(x) (ln(10 − x) – ln x) -

A:

Q: Question 1. Find the interval(s) where the function f(x) = is continuous. Vx² + 2x + 1

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

Q: Question No3: Find fogoh where f (x) = lx-4|, g(x) = 2%, h(x) = Vx. %3D

A:

Q: IT 5. h(x)=cos x+ 2 n(x) -(х-3)* +4 6. 7. W (x)=e**2 –3 x+2 8. f(y)=(y-1) +2

A: We draw garph of following function

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 1. Find the linearization of the function y = f(x) = x² sin(x) at a = T/4 and use it to…

A: Linearisation of f(X) at a is given by-  L(X) = f(a) + f'(a)(x-a)

Q: Question 18 10 If f is a continuous function and F'(x)= f(x) for all xER, then x)dx3? O IFL0) - F2)]…

A:

Q: QUESTION 8 If (fog)(x) = 6x + 3 and f(x) = 2x - 1 then g(x) = ? O 3x + 2 O 2x + 3 O 3x - 2 O 2x - 3

A:

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 22 of 25 If f'(x)=+5 where f(1) =0, then f(3) = A)-12 B) 12

A: Solve the given function

Q: QUESTION 2 2ln(f(x) If 2n (FM) g(x) dx = In 2 + C, then g(x) = OA In (f(x)) OB. f'(x) f(x) OC. f(x)…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Question 5 4x2 Calculate the integral: dx 5+ x² V5 + x² - 10 ln V5 2х + C (5 + x²) 32 V5 + x2 V5 2х…

A: Indefinite Integration

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 5 10 If continuous and Jx)dx = 54, then which one of the following numbers can take at…

A:

Q: Question 15 dx For /- (x+x³) (xtan-'(x)+1) = In(F(x)) +C. What is F (/3) if C=0? (A) B + - +

A:

Q: Question 7 The following function is homogenous of degree what? f (x, y, z) = x²zy + z² Vx²y²…

A:

Q: ylo) >3 y'lo) : -s g"Co) » 1 y" Co) = -23 yu Co) = 47

A:

Q: Question 25 The graph of f(xr) = x(In x) has a point of inflection at e (B e2 A,

A:

Q: Question 11 Integrate f 9z2 - 5+dz Type only the numeric value below and be sure to show all of your…

A:

Q: Question 10 tanx If f(x)= A (B) C D sec ³x Itelin sec²x Iteline 1+1² I+e' -dt, then f'(x) equals…

A:

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

A:

Q: Example 5.8: Knowing that f(x) is odd function 2 -3 | f(x).dx = 6 and | f(x).dx = 10 frind f(x). dx…

A:

Q: Question 10 x²+x+1 Ja 2x²+2+x³+x So - dx = [Aƒ (x) – B ln(g(x)] + D fb dx, and if A = ,B<0, then…

A:

Q: QUESTION 9 Let fx) = cot-1x). On (-∞, x) : o f 'x) >0 o -1< f(x) < 1 o f'x) < 0

A:

Q: Question 7 Find all points of discontinuity of the function: f (z)= 324 (A) -2,-2i (C) -2+2i z4-16…

A: The function is given by fz = 3z2+4z4-16 To evaluate : The point of discontinuity.

Q: Question 1 Consider the function f (x, y, z) = x² + y² – xyz %3D | Find grad

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

Q: Problem 1. For which a function f(x) = xª belongs to (а) Е %3D (0, 1) ? L'(E), where (b) Е %3 (1,…

A:

Q: s-4 s+1 2. L(sin 2x + e2x+3) = . s²+4 s-2 Hint: e²x+3 = (e2x)(e³) -7s*+2s²+24 3. L(x* + x² – 7)

A: L{ eat}  = 1s-a    ,  L{sinat} = as2 + a2,     L{xn} = n!sn+11. L( e4x + e-x + x2  ) =L {e4x} + L{…