The equation of a curve is y = 3 + 4x x 2 . i. Show
Question:
The equation of a curve is y = 3 + 4x − x2.
i. Show that the equation of the normal to the curve at the point (3, 6) is 2y = x + 9.
ii. Given that the normal meets the coordinate axes at points A and B, find the coordinates of the mid-point of AB.
iii. Find the coordinates of the point at which the normal meets the curve again.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 58% (12 reviews)
i find the derivative of the curve at that point Taking the derivative of y 3 4x x2 we get 4 2x At t...View the full answer
Answered By
Nikka Ella Clavecillas Udaundo
I have a degree in psychology from Moi University, and I have experience working as a tutor for students in both psychology and other subjects. I am passionate about helping students learn and reach their potential, and I firmly believe that everyone has the ability to succeed if they receive the right support and guidance. I am patient and adaptable, and I will work with each individual student to tailor my teaching methods to their needs and learning style. I am confident in my ability to help students improve their grades and reach their academic goals, and I am excited to work with a new group of students.
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
-
The equation of a curve is y = x 3 + px 2 , where p is a positive constant. i. Show that the origin is a stationary point on the curve and find the coordinates of the other stationary point in terms...
-
The equation of a curve is y = 2x + 5/x+1. Find dy/dx and hence explain why the curve has no turning points.
-
The equation of a curve is y = x 2 /x + 2. The tangent to the curve at the point where x = - 3 meets the y-axis at M. The normal to the curve at the point where x = - 3 meets the x-axis at N. Find...
-
Answer the following questions. a. Office Store has assets equal to $123,000 and liabilities equal to $47,000 at year-end. What is the total equity for Office Store at year-end? b. At the beginning...
-
Assume you are in charge of fund-raising for an organization on your campusa social fraternity or sorority, a business fraternity, or any other suitable organization. It is your job to identify a...
-
Is the question a dead giveaway? Does it betray your research agenda and objectives thus potentially skewing the respondents entire set of responses?
-
E2.10. Using Accounting Relations: Genentech Inc. (Medium) Consider the following excerpts from Genentech's 2004 income statement and cash flow statement. From the 2004 income statement (in...
-
The management of Kauer Company has engaged you to assist in the preparation of year-end (December 31) financial statements. You are told that on November 30, the correct inventory level was 150,000...
-
Question 3 ( 1 point ) \ table [ [ Regression Statistics ] , [ Multiple R 0 . 9 4 8 0 3 2 ] , [ Adjusted R 0 . 8 9 0 3 2 9 ] , [ ] , [ StandardE 0 . 4 3 8 9 3 5 ] , [ Observatic ] , [...
-
The diagrams below represent aqueous solutions that contain lonic or molecular solutes. The solvent molecules have been omitted for clarity Identify each of the following drawings as representing a...
-
Given that the gradient of the curve y = x 3 + ax 2 + bx + 3 is zero when x = 1 and when x = 6, find the value of a and the value of b.
-
The gradient of the curve y = x 3 + ax 2 + bx + 7 at the point (1, 5) is 5. Find the value of a and the value of b.
-
Explain what is meant when it is stated that a company has a quick ratio of 1.75.
-
Evaluation a. Evaluate the effectiveness of social media marketing campaign for instagram, facebook and pintrest ?based on your KPIs for example account reached, content reached, likes, shares,...
-
A study was performed at a university to analyze whether the preference for hamburgers or fried chicken is related to the gender of the student. This table lists the results of the study. At a =...
-
A 20-lb homogeneous box has tipped and is resting against a 40-lb homogeneous box as shown in figure attached. The coefficient of friction between box A and the floor is 0.7, and between box B and...
-
The Taylor series for natural logarithm (with base e) In(1+r) is In(1+2) -(-1)+1 for <1. (a) Write a user-defined function using loop that determines In(1+x) using the above Taylor series. Your...
-
Question 1: [up to 4 pts] Suppose that a = 1, a2 = 2, a3 = = 3, and an = an-3 for all n 4. If an integral with respect to y is used to find the area of R, what should the upper limit of integration...
-
Argue why any solution to the previous problem must run in (n) time.
-
Discuss whether responsible human resources management should apply different standards for the home company and suppliers, for developed countries and developing countries, and for large companies...
-
Anticipating that 20 patients will be entered in the study and two treatments will be used, construct a list of random-treatment assignments starting in the 28th row of the random-number table (Table...
-
Count the number of people assigned to each treatment group. How does this number compare with the expected number in each group? Gastroenterology Suppose we are asked to construct a list of...
-
Suppose we change our minds and decide to enroll 40 patients and use four treatment groups. Use a computer program (such as MINITAB or Excel) to construct the list of random-treatment assignments...
-
3. The nominal interest rate compounded monthly when your $7,000 becomes $11,700 in eight years is ________
-
An investor can design a risky portfolio based on two stocks, A and B. Stock A has an expected return of 21% and a standard deviation of return of 39%. Stock B has an expected return of 14% and a...
-
Advanced Small Business Certifica Drag and Drop the highlighted items into the correct boxes depending on whether they increase or decrease Alex's stock basis. Note your answers- you'll need them for...
Study smarter with the SolutionInn App