Question

Give the formula for a function with domain (5, ∞) that has the following properties: •...

Give the formula for a function with domain (5, ∞) that has the following properties:

• f is a positive function that is continuous on (5, ∞)

• f has an infinite discontinuity at x = 5

• the area under y = f(x) and over the x-axis (for x > 5) is equal to 7.

You must verify that the area is 7 by writing down and correctly evaluating an appropriate improper integral.

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

If you have any doubt in this solution please comment before rating this solution.

​​​​​​Thank you.

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
If f is a continuous, positive function defined on the interval (0, 1] such that limx→0+...
If f is a continuous, positive function defined on the interval (0, 1] such that limx→0+ = ∞ we have seen how to make sense of the area of the infinite region bounded by the graph of f, the x-axis and the vertical lines x = 0 and x = 1 with the definition of the improper integral. Consider the function f(x) = x sin(1/x) defined on (0, 1] and note that f is not defined at 0. • Would...
Give an example of a rational function f whose graph has the following properties. vertical asymptote:...
Give an example of a rational function f whose graph has the following properties. vertical asymptote: x = 2 horizontal asymptote: y = 1 x-intercept: (5, 0)
1. Find the area of the region bounded by the graph of the function f(x) =...
1. Find the area of the region bounded by the graph of the function f(x) = x4 − 2x2 + 8, the x-axis, and the lines x = a and x = b, where a < b and a and b are the x-coordinates of the relative maximum point and a relative minimum point of f, respectively. 2.Evaluate the definite integral. 26 2 2x + 1 dx 0 3. Find the area of the region under the graph of f...
generate a continuous and differentiable function with the following properties: f(x) is decreasing at x=-5, local...
generate a continuous and differentiable function with the following properties: f(x) is decreasing at x=-5, local minimum is x=-3, local maximum is x=3
Formulate the following as an optimization problem instance, and give the domain of feasible solution F...
Formulate the following as an optimization problem instance, and give the domain of feasible solution F and the cost function c: Find a cylinder with a given surface area A that has the largest volume V.
Find a formula for RN for the function f(x) = 10x^2 − 4 on [2, 5]...
Find a formula for RN for the function f(x) = 10x^2 − 4 on [2, 5] in terms of N. RN = Compute the area under the graph as a limit. lim N→∞ RN =
For the function, do the following. f(x) = 1 x   from  a = 1  to  b = 2. (a)...
For the function, do the following. f(x) = 1 x   from  a = 1  to  b = 2. (a) Approximate the area under the curve from a to b by calculating a Riemann sum using 10 rectangles. Use the method described in Example 1 on page 351, rounding to three decimal places. square units (b) Find the exact area under the curve from a to b by evaluating an appropriate definite integral using the Fundamental Theorem.   square units
Find the formula for the cubic function (third degree polynomial) whose graph has the given properties:...
Find the formula for the cubic function (third degree polynomial) whose graph has the given properties: • A y-intercept of 63 and x-intercepts at x = −8, 25, 30.
Let f be a continuous odd function on straight real numbers. If integral subscript negative 5...
Let f be a continuous odd function on straight real numbers. If integral subscript negative 5 end subscript superscript 0 straight f open parentheses straight x close parentheses dx equals 8 and integral subscript 5 superscript 7 f open parentheses x close parentheses d x equals 10 then integral subscript 0 superscript 7 f open parentheses x close parentheses d x equals Select one: a. 18 b. 1 c. 2 d. 0
Suppose the function g(x) has a domain of all real numbers except x = −8. The...
Suppose the function g(x) has a domain of all real numbers except x = −8. The second derivative of g(x) is shown below. g ''(x) = (x−1)(x + 5) (x + 8)7 (a) Give the intervals where g(x) is concave up. (Enter your answer using interval notation. If an answer does not exist, enter DNE.) (b) Give the intervals where g(x) is concave down. (Enter your answer using interval notation. If an answer does not exist, enter DNE.) (c) Find...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT