Use the graph shown in the figure. Insert the proper inequality symbol (< or >) between the given quantities. (5, 6) 6 4. y 3 (1, 2) 1- 2 3 4 6 f(5) – f(4) (a) 5 - 4 f(5) – f(1) 5 - 1 ? f(5) – f(1) (b) 5 - 1 ? f '(1)

Q: (c) For what values of a and b does the function (ах- 3, x< 4 f(x) = } (-x? + 10x - b, x24 satisfies…

A:

Q: se R’s “pbinom()” function to verify Chebyshev’s inequality for k=2 and k=3 when X follows…

A: Given that, X follows Binomial distribution with parameters n=30 and p=0.2. Mean of Binomial…

Q: For what value of the constant c is the function f continuous on the interval (-,00). Sa? – 3, x с…

A:

Q: Solve inequalities f (x) < 0 where f (x) = (x + 4)(x + 1)*(x – 2)°(x – 3)(x – 7)æ %3D Divide the…

A:

Q: Find the points at which those extreme values occur. О (- 2)and (0, —- 2) О (2), (—2), (0, 2), and…

A:

Q: *The interval [a, b] for a function x^3 - 4 x- - ...... 9 = 0 is [2,3] O [0, 2] O [0, 1] O [1, 2] O

A: We need to find the interval for a function f(x)=x3-4x-9=0

Q: Solve using either Roll's Theorem or Mean Value Theorem:

A:

Q: 6. True or False The cube function is odd and is increasing on the interval (-o, ).

A: True We know that, A function f is said to be odd if f(-x)=-f(x) We have a cube function that is…

Q: Find f'(x). f(x) = x5 – 2x3 + x – 1 %3D f'(x) = Compare the graphs of f and f' and use them to…

A: Given: f(x)=x5-2x3+x-1 To find: f'(x)

Q: What are the domain and range of g(x) = 3√x+4? OD: [3,) and R: [0, ∞) OD: [4,) and R: (-∞, 0) OD:…

A: The given function is: g(x)=3x+4

Q: (2) If you are only given the formula for a function, how do you determine on what intervals a…

A: To explain: The method to determine the interval in which function is concave up and concave down.…

Q: Find the x-value(s) where the function f(x)- xS2 is not differentiable x-1 x>2 Give a reason for…

A: Consider the given function fx=xx2-1,    x≤2x-1,        x&gt;2. Sketch the graph of the given…

Q: 4) Find the intervals where the following function is concave down: ππι y = 2sin² (2x) - 4x, x € -

A:

Q: 05. What is the positive interval for y =l-3x - 6| + 2? A. (-∞, –2) B. (-2, +∞) C. (-∞, +∞) D.…

A:

Q: Find the point on the curve q(x)=x2+6 that is closest to the point (−18,6). Enter your answer as an…

A: Given

Q: 81. A function y = f(x) is increasing on the interval (0,5). What conclusions can you draw about the…

A: If a function is an increasing function then this means when the value of the variable x increases…

Q: True or FalseA 1. A Step-function is continuous at every point in its domain

A: Given: A step - function is continuous at every point in its domain. To write: The given statement…

Q: The definition of the error function also defines an "error term" E(x, y). Find E(x, y) for the…

A:

Q: 04. What is the domain and range for y = 2|x|. A. Domain: (-∞0, +∞); Range: (-0, +∞) C. Domain: (-∞,…

A: given that y=2|x| find the domain and range of y

Q: Use the given graph of f(x) = /x to find a number 8 such that if Ix - 4| < 8 then Vx - 2 < 0.4 yA…

A: use limit definition for evaluating the value  of delta.

Q: 13. In the table of signs, interval 0 < x<÷, is the function increasing or decreasing?

A: A function f(x) is decreasing on the interval (a , b)  if f '(x)&lt;0  for every x in (a , b)

Q: 7. True or False The cube root function is odd and is decreasing on the interval (-x, o).

A: True or False The cube root function is odd and is decreasing on the interval (-∞, ∞).

Q: Using the data, estimate limits between which most of the 73,219 composite scores would fall. Also,…

A: Here we have given the 65 customers are interviewed and their scores are given in the following…

Q: Find f'(x). F(x) = x5 – 4x3 + x - 1 f'(x) = Compare the graphs of f and f' and use them to explain…

A: Given, f(x)=x5-4x3+x-1

Q: (c) For what values of a and b does the function ах 3, x < 4 f(x) = (-x² + 10x – b, x 2 4 satisfies…

A: Answer:   a = 0 and b = 27

Q: (c) For what values of a and b does the function (ах— 3, x 4 satisfies the conditions of the…

A: Function  To find the values of a and b for which f(x) satisfies the conditions of the Mean-Value…

Q: On which the interval the function is increasing? * 4아 2아 2아 -40- -5 < x < 5 O -2.5 < x < 0 0 < x <…

A: To find: The interval for which function is increasing. Concept used: The function is increasing in…

Q: Determine the intervals of concavity for the function f(x)=e^(-x)- e^(-(-3x).You must use exact…

A:

Q: 6. True or False The graph of the function f(x) = x? is increasing on the interval (0, ). (

A: f(x)=x2

Q: (c) For what values of a and b does the function ах — 3, x < 4 f(x) = (-x² + 10x – b, x2 4 satisfies…

A:

Q: Find the extreme values of the function f on the interval [3,4]. (x^4)+(4/x)

A:

Q: Over which interval of the domain is function m negative? 10 8- 6- 2- -10 -8-6 -4 -2 4 6 8 10 -2-…

A:

Q: The average weight for a sample of Jersey cattle is 900 lbs.  The average weight of a sample of…

A:

Q: 8- When f(x)-x' the value of error of Simpson's rule becomes .........

A: 8.) f(x)=x2f'(x)=2xf''(x)=2f'''(x)=0f(4)(x)=0

Q: Find the point on the curve h(x)=x2−8 that is closest to the point (−18,−8). Enter your answer as an…

A: If the point on the curve h(x) = x2 − 8 is closest to the point (−18,−8), then their distance will…

Q: For what intervals is f(x) = x* – 8z² +3 decreasing? O The graph is decreasing on the interval (0,…

A: givenf(x)=x4-8x2+3f'(x)=4x3-16xf'(x)=4x(x2-4)so critical points will be -2,0 and 2

Q: 7. Give two reasons why a function might not be differentiable at a particular value of x.

A: topic -derivative

Q: Select the graph which satisfies all of the given conditions. f' (-3) = f' (2) = 0 Increasing on…

A:

Q: 24. Is the function continuous on the interval (-5, 5] ? 3х-1 f(x) = x-4

A:

Q: Suppose f'(x) < 2 for all x 2 2, and f (2) = 7. Show that f(4) < 11.

A: Given that f'x &lt;2 for all x≥2 and f2=7.We need to show that f4&lt;11.

Q: Let us try to find where a function is increasing or decreasing given the following. 1. y = 2x –…

A: A function of x is given.We need to find the function is increasing or decreasing in the given…

Q: у 3 2 1 -1- -2 -3 1 2 3 4 5 6 X

A: Here is the solution:

Q: What is the lower limit and upper limit bounded by the curves y 9 - r2 and the line y = x + 7 ? -2…

A:

Q: A function y = f(x) is decreasing on the interval [0, 5]. What conclusions can you draw about the…

A: A function is increasing, if when x increases, the value of y also increases.          Since the…

Q: What is the point on the curve r(x)=x^2+6 that is closest to the point (3,6)? Enter your answer as…

A:

Q: The function fis continuous on the closed interval [-1, 1] and has values that are given in the…

A:

Q: 26) The interval where f(x) is decreasing is?

A: Answer and explanation is given below...

Q: Is the function continuous from X = -5 to x = 0? This function is made up of four (4) linear…

A: 1. True, the function is continous from x=-5 to x=0 as there is no break in the       graph between…

Q: 1 3 In y = In (5x + 7) - - In (x + 9) + In C 3

A: The equation is given by 3ln(y) = 12ln(5x+7)-13ln(x+9)+ln(C) To determine : The expression for y as…

Q: 3. Determine the value of k for which the function will have a limit on (-∞,). x+2 x<3 2 f(x) = 3.…

A: Given function is : fx=x+22  , x&lt;312-kx3 , x≥3 To find the value of k.

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.