The diagram shows the curve y = 4x x 3 . The point P has coordinates
Question:
The diagram shows the curve y = 4x − x3.
The point P has coordinates (2, 0) and the point Q has coordinates (−4, 48).
a. Find the equation of the tangent to the curve at P.
b. Find the area of the shaded region.
Transcribed Image Text:
y = 4x-x³ 2 P *
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 81% (11 reviews)
Question Description The diagram shows the curve y 4x x3 The point P has coordinates 2 0 and ...View the full answer
Answered By
Mary Boke
I have teached the student upto class 12th as well as my fellow mates.I have a good command in engineering,maths and science.I scored 90+ marks in 10th and 12th in maths.
0.00
0 Reviews
10+ Question Solved
Related Book For
Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook
ISBN: 9781108407144
1st Edition
Authors: Sue Pemberton, Julian Gilbey
Question Posted:
Students also viewed these Mathematics questions
-
Find an equation of the tangent to the curve at the given point by two methods: (a) Without eliminating the parameter and (b) By first eliminating the parameter. 7. x= e', y= (t- 1); (1. 1) 8. x= tan...
-
Find an equation of the tangent to the curve at the point corresponding to the given value of the parameter. x = 1 + 4t - t2, y = 2 - t3, t = 1
-
Find an equation of the tangent to the curve at the given point by two methods: (a) Without eliminating the parameter (b) By first eliminating the parameter. x = 1 + ln t, y = t2 + 2; (1, 3)
-
Part A: The following departments of activities are recorded in the City of Atlantas Comprehensive Annual Financial Report in the appendix to this chapter. Indicate the type of fund that most likely...
-
a. What are the elements of COSOs enterprise risk management framework? b. What is business process management? List and discuss the steps managers often use to change a business process. c. List and...
-
Sampling of Medicare and Medicaid claims by the federal and state agencies who administer those programs has become common practice to determine whether providers of those services are submitting...
-
The hydroelectric turbine shown in Fig. P5.108 passes Figure P5.108 600 ft Turbine
-
Party-Time T-Shirts sells T-shirts for parties at the local college. The company completed the first year of operations, and the shareholders are generally pleased with operating results as shown by...
-
Discuss, contrast and compare, the issues surrounding animal consciousness and machine consciousness. How are these issues alike and how different? Do they inform us differently about our...
-
The debits to Work in Process-Roasting Department for Morning Brew Coffee Company for August 2016, together with information concerning production, are as follows: All direct materials are placed in...
-
The diagram shows part of the curve The line y = 7 intersects the curve at the points P and Q. a. Find the coordinates of P and Q. b. Find the volume obtained when the shaded region is rotated...
-
A curve is such that The gradient of the curve at the point (0, 4) is 10. a. Express y in terms of x. b. Show that the gradient of the curve is never less than 4. dy 12x + 12. dx
-
By choosing a suitable substitution, find the exact values of: a Sx2 + x dx b 1 1+x-1 S dx sin 20 1 + cos 0 5.. do
-
The radius of a spherical balloon is increasing at a rate of 2 centimeters per minute. How fast is the surface area changing when the radius is 8 centimeters? Hint: The surface area is S = 4r. Rate...
-
Peak Corporation is undergoing financial difficulty and planning to liquidate assets. Based on its financial statements as of Y2022 total iabilities amount to Net sales is P10Million. Asset ratio is...
-
What is the market structure? give an example and the characteristics of each type of structure.
-
Pick a publicly-traded company and exam the company products (I chose Google Company) . If the company produces many products, please pick one important product ( I picked Google search )and explain...
-
At 30, Maya, a dedicated soware developer with a passion for wildlife photography and environmental conservaon, is planning for early rerement from the workforce by age 50. With $150,000 already in...
-
Often the life of a whistleblower involves tremendous ridicule and scrutiny from others, despite doing the "right thing." Describe your views as to why whistleblowers face tremendous obstacles as a...
-
Annual dividends of ATTA Corp grew from $0.96 in 2005 to $1.76 in 2017. What was the annual growth rate?
-
What test can be used to assess whether the mean BMI changed significantly among heavy-smoking women 6 years after quitting smoking? Health Promotion Cigarette smoking has important health...
-
Implement the test in Problem 8.129, and report a two-tailed p-value? Health Promotion Cigarette smoking has important health consequences and is positively associated with heart and lung diseases....
-
What test can be used to assess whether the mean change in BMI over 6 years is different between women who quit smoking and women who have never smoked? One issue is that there has been a secular...
-
In what ways might the issue addressed in the research paper affect you as you start your career? What are the potential consequences of reliance on specialists to assist the auditor in making high...
-
Prepare the journal entry to record issuance of the note payable on October 31, year 1 and the adjusting entry to accrue interest on the note at December 31, year 1. (Assume adjusting entries are...
-
A manufacturer's incomplete T-account for Work in Process Inventory follows. Work in Process Inventory Debit Credit Beginning 16,760 Direct materials 25,100 Direct labor 7,420 Overhead applied 2,820...
Study smarter with the SolutionInn App