Question 7 Sketch the graph of a) Sketch the graph of f(x) = |a2 – 9 b) Find an expression for f' (x) %3D c) Which points is the function not differentiable.

Q: The graphs of two functions y = f(r) are shown in Figure 1 below. For each of them, sketch a…

A: We have given the graph of two function,                                                 y= f(x).…

Q: Question 1 Find the x-coordinate on the graph of f (x) = x ³ - 12 x where the tangent is horizontal.…

A:

Q: PART C QUESTION 1 Differentiate the following functions with respect to x: а) y = e3* cosh (x?)

A: The objective of the question is determine the derivative of the given function.

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#4: A box with an open top is to be constructed from a rectangular piece of cardboard with…

A:

Q: Question 7 of 10 Determine the graph of f(x, y) = y + 1. (0. 0. 1) (0. -1. 0) (0, 1,0) 71.0.0) (0,…

A: The graph of the given function z=y+1 is as below:

Q: Question 4 What are the coordinates of the hole (removable discontinuity) in the graph of the follo…

A: Hole of function

Q: Question 16: Determine if the function 1 f(x) = x* + x² + is even, odd, or neither. Show work.

A: The given function is,

Q: Question 5 The following function is homogenous of degree what? Vx?y²+x²+y² f(x,y) = х, у ху 1 3 4…

A: We have to find the degree of function.

Q: Question 35 ,x5 , find the value of k that will make f continuous on (-0,0) x-4 Given: f(x) = | kx²…

A:

Q: Question 24. A function is specified as f(x) = (x+1)³+ (x– 1)². Use the method of small increments…

A:

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 4 Does the graph of g(a) = x? x sin(1/a), "completed" by defining g(0) = 0, have a tangent…

A: Given that g(x)= x2sin (1x), x≠00, x=0

Q: Question 1 Differentiate the function F(t) = arcsin(In(t)) · arctan(3t²) – arccos(/2). You do not…

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Q: Question 1 Specify and sketch the domain D(f) of the following function sin(r + y) x² – y2 +1' f(x,…

A: As per guidelines we can only solve one question and first 3 subparts of the question, rest of the…

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

A:

Q: Question 3 At what numbers is the following function differentiable? 1- 2x, if x 1. f(x) = { r?,…

A: For the solution follow the next steps.

Q: Question 22 Given the function f(x) = (x² – 4)(x² + 4), the number of horizontal tangents of f is…

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

Q: Question 3 A function is defined by f (x, y, z) = z² – cos(xy) - find the value of f (5, 2, 2).

A:

Q: Question 32 The graph of the function f(x) = -/x + 4 – 3 is the reflection of the graph of g(x) =…

A: Since you have posted multiple questions I can do first question as per our company guidelines…

Q: Question 3. Find the first and second derivatives of the function f, whose values are given at…

A: In this question, we apply the Lagrange interpolation approximation method for approximating the…

Q: Question 4 Compute, step-by-step, the first and second derivatives and the maximum value of each…

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 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 24 The function f (x) = 2x² – 8x + 4 is increasing on the interval ... A [2, ∞ ) B (- ∞ ,0]…

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Q: Question:2 Find domain of following functions In(e*+e") а. f(x, у) arctan(x+y) x2 – y? if (x, y) 2)

A:

Q: • Question 14 Given the function f(x) = 5 + 7x², calculate the following %3D f(a) = f(a + h) = f(a +…

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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 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: Question 2: Illustrated below are two tangent lines drawn at 2 different points on the curve whose…

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

A:

Q: QUESTION 1 A quadratic function f(x) = x³ + 3 x2 + 4 x + 3 has an inflectional tangent y = 2 x + 2…

A: Given : f(x) = x³ + 3x² - 4x + 3

Q: The question is attached

A: The given function is f(x)=-3x4-x3+2x-5. Let the equation of the tangent line drawn to the graph at…

Q: Question 11. 4x – 3 Given that f(x) = find f'(x) as a function of z. 7x – 2 Enter the answer as a…

A: ddx(u(x)v(x)) = [v(x)× ddx(u(x))] - [u(x)×ddx(v(x))](v(x))2

Q: QUESTION 1 The graph of y = In x has a tangent line with slope 1 at the point O (1,1) O (e. 1) O (1,…

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 (4): Find the interval on which function is: Increasing and decreasing, Concave up and…

A: We have given a function;

Q: Question 4. Let f(r) = e² and g(x) = sin x. Find composite functions f (g(x)) and g(f(x)) and give…

A:

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

A: We use Convolution theorem.

Q: Question 2: Determine the function f(t) = L-'{F(s)} for 1- e-5(s–1) F(s) = (s – 1)(1 – e-5*)' Sketch…

A:

Q: Figure 1 below is a sketch of a function g(x) and its tangent line at the point (2,5). (2,5) gez)…

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Q: Question no 1: If the given function is continuous and having a root in [-1, a] where a= (last three…

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

A:

Q: Question 4 Consider the function k with domain R, k"(t) = A(e - 4e) and A negative and real. Show…

A: Given that:k''(t)=A(e-t-4e-2t)

Q: Question#5: Consider the point (x, y) lying on the graph of y = vx – 3. Let L be the distance…

A: From the given data:

Q: Question 6 Determine the domain of the function. f(x) = x3 %3D All real numbers O No solution Ox<0…

A:

Q: Question 6 Give a number between 3 and 4, that is in the range of the function f(x)=cos-lx.

A: Explanation of the answer is as follows

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.