Question 67 <> Set f(x) = 7x2 – 1. 1. Is f(x) one-to-one? One-to-one O Not one-to-one 2. If f(x) is one-to-one, then f-(y) = Write DNE for Question 2 if f(x) is not one-to-one. Submit Question

Q: Question 12 10 If f is a continuous function and F'(x)= f(x) for all x E R, then x)dx=? 2[F(10) –…

A: We have to solve the problem

Q: Question 7 In evaluating 4 2 dx X√√x²-4 s-¹(f(x)). Determine the value of f(x) if x=0.35 is same as…

A:

Q: QUESTION 4 Using the definition of convolution find the convolution of the following functions (f*g)…

A: We find required Convolution.

Q: Question 11 puas √1+1² Ffxx)=f -dt, then f'(x) equals 0 I+e' In(secx)√1+tan²x Itela tanx sec³x 1+ele…

A: Topic:- application of integration  Note :- as per our guideline if more than one question uploaded…

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 7 2²e"² sin(x²yz) Let f(x, y, z) 12 find dyəzə"x at the point (3, 0,0) 4 8.

A:

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: O Question 9 Find f'(a) if f(x) = arctan(In z). 1 z (1+x²) 1 a sec²(In 2) 1 1+ (In 2)² 1+ 1 ()* 1…

A: To find the derivative of given function.

Q: QUESTION 4 Let f (x, y )= In (ex+ y) be a function. At which point the function is discontinuous? O…

A:

Q: Question 3 Given F(x) = VVx – 1, find functions f, g,h such that F = f °go h.

A:

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 5 (i) Differentiate f(x) = sin Vx by the first principle

A:

Q: Question:2 Find domain of following functions S(x, y) = In(e*+e") arctan(x+y) а. f(x, y) = b. ( x² –…

A: The function in a will not be defined when x+y=0.  Thus, domain is:

Q: Problem 1 in attached image

A: Given,

Q: Question 2 [17] 2.1 If f(x;y) = sin(xy) +x* In y, find f., at (0:4). 2.2 Let f(x; y) = arctan y 2+x?…

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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: -7-65-4 -3 -2 -1 -1 -2 -3 -4 -5 { -2 if x E | f(z) = { 4 ifx E Basic Interval %3D ( 3 ifx e DNE…

A: topic - functions

Q: QUESTION 3: Calculate and interpret the condition numbers of the following functions. a) f(x) = lx-1…

A:

Q: Question 1 (10 Marks): Calculate of given function f(x,y) = ye**. əx²əy³

A: Definition used -       Partial derivative -             In partial derivative, we differentiate…

Q: Question 9 1-COSX Find k so that f(x) D 4x2 is continuous at x-0 k, x=0 口 1/2 口 2/5 O 1/8 3/4

A: We're going to solve

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 3 Suppose that f satisfies f (x) dr = 6 and f(r) dr = -4. Calculate %3D 10 – (1)) dz.

A:

Q: Question 28 Sin(1) – - -5 The Differentiation of f (t) =- 1+ 5t is- In(t) [In(1)]² A True B) False

A: f(t) = (1 +5t)/ lnt f'(t) = (5ln(t) - (1+5t)(1/t))/(ln(t))2 f'(t) = (5ln(t) - 1/t - 5)/(ln(t))2 so…

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

A:

Q: Question 2 Consider f(x) = 1/x on (0, 0). Show that for any a e (0, o0), the area of the triangle…

A: 2 Consider              f(x)=1x    on   x∈(0, ∞) For any,  a∈0, ∞ we have to show that the area of…

Q: QUESTION 6 Consider the function f(r, y, z) = 6x² + 4xy+ e4yz af Then is equal to: ду O A. 4x +…

A: we find out partial derivative with respect to y.   see 2nd step.

Q: QUESTION 7 Consider a function f: R2 R, where f(xy) = x2 +y3. (a) Determine f(1,1) from definition.…

A: solve the following

Q: Evaluate and approximate f(x) dx of the functions in Table 3. ,2 4 1/(1 + x*) V1+ x² | sin(y) e

A: NOTE: According to guideline answer of first question and first three subpart can be given, for…

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

A:

Q: Question 4 Consider the function f(x) = -5x – 11x + x? +2x 3 2 smallest number n such that f(n) (x)…

A:

Q: Question 20 Let f(x) =cos(3x) & g(x) = e . Which of the following is true. (f+ g)(x) = 2 e2x +…

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Q: Question 1 Specify and sketch the domain D(f) of the following function sin(x + y) Va2 – y² + 1 f(x,…

A:

Q: Question 7 <. Let f(x) = 5 – 8x + 3x. Calculate the following values: f(a) = %3D f(a + h) = f(a + h)…

A:

Q: Question 17. Obtain the derivative of the function f(e) = (10x + 9)8/5 in the form A(Ba + C)P, where…

A: The function is given by fx = 10x+935 To evaluate: The derivative of the function.

Q: Question 11 For f(x, y) = sin(9xy). evaluate f at the point (2, ○ fx (2. =) = 0 (2²)-18 © ƒ, (2. )…

A:

Q: Question 11 a / f(x) dx: f(x) dx a True False Question 12 If f'(a) = 0, then the function f must…

A: Here we have to use the concept of integration and derivatives.

Q: Calculate h(x) if f(x) = x+3 and g(x) = sin(3x). Let h(x) = g(f(x)). What is h-1(x)? What is…

A:

Q: Question 2 Consider f(x) = 1/x on (0, 0). Show that for any a E (0, ∞0), the area of the triangle…

A: We have f(x)=y=1x     , x∈(0,∞)dydx=-1x2for a∈(0,∞)x=a, y=1a, dydx=-1a2

Q: QUESTION 4 Using the definition of convolution find the convolution of the following functions (f*g)…

A:

Q: QUESTION 4 For the given function f(x) = cosx, let xo 0.2, X1 0.4, and x2 = 0.7. Find the Error…

A: Given - For the given function fx = cosx, let x0 = 0.2, x1 = 0.4, and x2 = 0.7 To find - Find the…

Q: QUESTION 4 Using the definition of convolution find the convolution of the following functions (f*g)…

A: We use Convolution theorem.

Q: Question 14. Obtain the following integral I where: [z sin(3=)dz I= as a function of æ, to within an…

A: Please refer the attached image for complete solution. THANK YOU.

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 18 If f and 8 are continuous function of *, which of the following is true? A (x) dx (x) dx…

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Q: Question 26 What is the maximum value of f(t) = sin t + cos t in the interval 0 <t < /2 O 2/2 O 2 O…

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Q: (a) Define the following hyperbolic functions directly in terms of the exponential function (i)…

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Q: QUESTION 4 Using the definition of convolution find the convolution of the following functions (f*g)…

A:

Q: Question 11 Зсos3x-1 To evaluate f scos - dx, the integrand can be transformed to 1-sin?x A.)…

A: We put 1-sin2x=cos2x and then solve it. Follow 2nd step.

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: