Asked Nov 22, 2019

Consider the function g(x)=5x2−18x+35. Find the area under the curve g(x) from x = -5 to x = 15 and then subtract from it the area under the same curve g(x) from x = -5 to x=1. What is the difference?


Expert Answer

Step 1

Area under the curve  g(x) from x = –5 to x = 15


Image Transcriptionclose

A-jp-2 15 A, =5x-18x +35 dx 15 5x3 18x2 +35x 2 5 (5(-5 18(-3) , 35(-5)| (s(15 18(15) 3 +35 (15) 2 3 2 =(5625-2025 525)-(-208.33 225-175) = 4733.33 square units.

Step 2

Area under the curve g(x) from x = –5 ...


Image Transcriptionclose

1 A,=5x-18x +35 dx -5 5x3 1&x2 +35x 2 |-5 5(-518(-535-5) (5(1)18(1j +35 (1 2 3 2 (1.6667-9+35)-(-208.33-225-175) = 635.9967 636 square units


Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in




Related Calculus Q&A

Find answers to questions asked by student like you
Show more Q&A

Q: Total Cost is given by C(x)=3x^2+20x +4800. Find the x value that minimizes average Cost.   b. How m...

A: Given informationTotal cost is given as


Q: Simplify the expression by using a Double-Angle Formula or a Half-Angle Formula 1- cos(60°) (a) 2 1 ...

A: We need that half angle formula on the board.


Q: *3.7.32 (3.3) A rectangular plot of farmland will be bounded on one side by a river and on the other...

A: Let x and y be the length and width of the rectangular plot of farmland respectively.Since the farml...


Q: Use the following figure, which shows f(x) to find each of the indicated integrals. Note that the fi...

A: Given,The red shading area = 21The black shading area = 7


Q: Textbook : University Calculus Section 9.7, problem #9 In this problem we have to find the series in...

A: The given series is,


Q: 13-20 Graphing Shifted Parabolas An equation of a parabola is given. (a) Find the vertex, focus, and...

A: Given equation of the parabola is,


Q: The radius of a right circulare cylinder is increasing at the rate of 3 in/sec, while the height is ...

A: To determine the change of rate of the volume of cylinder.


Q: Determine all critical values for the function f(x)=20x3-3x5   y=4x2-128sqaurerootx

A: Part (a):Consider the given function.


Q: The function f is defined as f(x)=(x−2)(x+6)2. Answer the following questions without using a graphi...

A: Roots of f(x) can be obtained by solving each linear factors of f(x)