Explain why the functions in 20 and 21 are discontinuous at the given number a. Then, sketch the graph of the function. 20. if æ #1 S(m) = a = 1 if z = 1 21. Cos a if æ<0 f(x) = { 0 if æ = 0 a = 0 1- a² if æ > 0

Q: Use the given graph of f(x) to compute each of the following. Enter DNE if such a function value…

A: Given: The graph of the given function f(x) is,

Q: O Find the values of a and b to make the function ffx) is continuous everywhere sin ax if x < 0 f(x)…

A:

Q: | Suppose f(x, y) = 2 sin(11ry) and g(x, Y, z) = /144 – x² – y² – z². Find the following function…

A: Guven, f(x,y) = 2sin(11xy) f(9, pi/72) = ?

Q: Find the point(s) of discontinuity of the following functions. 3x+2 4. x2-6x+9 5. cos 2x -67

A: (4) The polynomial function y=f(x)g(x) is continuous everywhere except such x where its denominator…

Q: 5. Make a sketch of the following parent function and give the following information. f(x) = sin x 4…

A:

Q: 6. Suppose t > 0. Consider the functions f(x) = e* and g(x) = xt. Show that ext for all x > 0, if…

A:

Q: Without a calculator or computer, match the functions e, In x, x, and x to their graphs in the…

A:

Q: Which of the following graphs (a)-(d) could represent an antiderivative of the function shown in…

A:

Q: (e-2º sin5t) dt4

A:

Q: Which one of the following is the co-ordinates of the y-intercept of the tangent line to the graph…

A:

Q: السؤال 1 the function is called periodic function if F(x+t) =f(x), 0 صواب ihi O

A: Please find the answer in the below step

Q: Consider the function f(x) = ax + b, where a and b are constants. Which of the following is one of…

A:

Q: Suppose that f(x) is a differentiable function such that f'(8)=7 and f(8)=1. If g(x)=cos(f(x)), then…

A:

Q: EXERCISE: The following functions f(x), which are assumed to be periodic with period 2t and, for the…

A: A graph is periodic in an interval, if it repeats itself in that interval. Use a graphing utility to…

Q: Find for the function y = In 20 1+ e

A: The given function is y=lnet21+et2. Chain rule: ddtfgt=f'gtg't Quotient rule:…

Q: Consider the function f(x) = ™ cos(x) + 2.7°-º (For the first two questions decimals i.e. For…

A:

Q: 10. Consider the following function. 1 x } x > Find the values of a and b that make f(x)…

A:

Q: 8. Which of the following functions has a hole at x = 5? x-25 a. X-5 fx) = C. Ax) = %3D 2-25 d. Band…

A: As per Bartleby's answering policy, we cannot answer more than one question. So kindly post the…

Q: Which of the following statements is true about the function f whose derivative is f'(x) = (x –…

A: To find out the correct options.

Q: in hundreds of gatlons, the relative toequenly Tan be modelled by oSxSI し f(x)= くX<1.5 elseuhere :)…

A: Hi! Thank you for the question! Since the question contains four subparts and we are allowed to…

Q: This question is designed to be answered with a calculator. Region R is bounded by the functions…

A:

Q: Q2 (a) Sketch the following function of period 27. f(x)= |x| (-1 ≤ x <n) f(x + 2x) = f(x)

A: f is 2π periodic function, f(x+2π)=f(x) I sketch the function from -5π to 5π. 5 copies of the…

Q: Which of the following statements is true about the function f whose derivative is f'(x) = (x –…

A:

Q: 45. Write a function of the form f (x) = A cos (Bx – C) for the given graph. y 3 57 6 3 6 3 6 3 -2-…

A:

Q: * Find dy for the following function: O In 2X e 4. - 23+ 1 |

A: Note: As per our guidelines, we are restricted to solve only one question. Please upload separately…

Q: EXERCISE: The following functions f(x), which are assumed to be periodic with period 2 and, for the…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Which of the functions below produces this graph? 4- 3- 2 3.1 63 9.4 Y2. -1 2.6 -9.4 -6.3 -3.1 -2 -4…

A: Consider the provided graph,

Q: Given that 0 < a < b, let f(t) = 1 if a <t < b, f(t) = o if either t < a or t2 b. First, sketch the…

A: Given: The interval is a&lt;a&lt;b and the function is ft=1    if    a≤t&lt;b0    if    t&lt;a or…

Q: Graph the following function from x = 0 to x= 4x. y = -3 cos? -12 37 27 57 37 7n 47K 2 :1 1/7 37 2n…

A:

Q: 28 Which one of the following is the co-ordinates of the y-intercept of the tangent line to the…

A:

Q: 1. Draw the graphs of the following functions, and evaluate the are between the curven over the…

A:

Q: (d) Use the tangent line to the graph of h(x) at x = 5 to approximate h(4.8). (e) Let p be the…

A: The left-hand derivative of a function at a point is the value of the derivative of the function…

Q: 4. Find the domain ond range of following functions ; a) cos(x-T) <) ーイ イー+an×

A:

Q: 10. Consider the function if a E Q -a? if x ¢ Q. f(x) = Prove that f'(0) = 0. %3D

A: Solution:Given  f(x)=x2if x∈Q-x2if x∉QTo prove f'(0)=0Formuladdx(xn)=nxn-1

Q: cos(3x) if x 1 5 if x = 0 or x = 1 hen f has removable discontinuity at A) x = 0. B) x = 1. C) x = 0…

A: We will solve the following

Q: 14 Let j be the function given by f(x) = cos(2r) + In(3r) What is the least value of x at which the…

A:

Q: cos(3x) if x 1 if x = 0 or x = 1 3* if Let f(x) = 3 + In x if 3 Then f has removable discontinuity…

A: We will solve the following

Q: The following is the graph of a function of the form f(x) = a cos(bæ + c):

A:

Q: The following is the graph of a function of the form f(x) = a sin(bx): 1 -0.667 t -0.333 t 0.167 n…

A:

Q: For each n E N, we are given the function fn : AR. Which of the following statements is true:

A: Given: For each n belongs to N it is given that the function fn:A given R

Q: 1. Approximate the following, given the graph of the function f. If infinite, indicate either o or…

A:

Q: 1. Find the length of the graphs of the following function, show all the work. 1 1 f (x) = In(1+x³)+…

A: Explained below

Q: 1. The height of the Ferris wheel in feet can be represented by the function 50 cos ( (x – 10)) + 52…

A:

Q: 6. * Show there is a root to the function f(x) = 9 sin x- 3 +2 on the interval (3, 1). Round to the…

A: Given: f(x)=9sin x-3x+2 and an Interval (3, 1). To show that there is a root to the function…

Q: Which of the following statements is true about the function f whose derivative is f'(x) = (x -…

A:

Q: ди and az ди ди Find дх ду (whenever possible) for the following functions. 1) u = 3x²y + xlny² –…

A:

Q: 11:10 TO A OX 63% i bcps.schoology.com/common- 1 hich of the following graphs are functions? Select…

A:

Q: The following table is used to find the root of a non-linear equation of f(x) = (cos x) – 2xe*. i…

A:

Q: A piece of the graph of the even periodic function f(t+4)=f(t) is given by: Which of the following…

A: Here we should note that the even functions are symmetric about y axis. That means if the function…

Q: c. f(x) + g(x) d. 1/f(x) f(x)• cos x e. x + f(x) f. x – 1 mine where (if anywhere) the following…

A: We have to find