The gradient of the curve y = x 3 + ax 2 + bx + 7 at
Question:
The gradient of the curve y = x3 + ax2 + bx + 7 at the point (1, 5) is −5. Find the value of a and the value of b.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 85% (7 reviews)
To find the gradient of a curve at a given point we need to find the derivative of the equation ...View the full answer
Answered By
Krishnavendra Y
I am a self motivated financial professional knowledgeable in; preparation of financial reports, reconciling and managing accounts, maintaining cash flows, budgets, among other financial reports. I possess strong analytical skills with high attention to detail and accuracy. I am able to act quickly and effectively when dealing with challenging situations. I have the ability to form positive relationships with colleagues and I believe that team work is great key to performance. I always deliver quality, detailed, original (0% plagiarism), well-researched and critically analyzed papers.
5.00+
4+ 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
-
Use the given figure and rotation point P to construct the indicated rotations. Show the trapezoid in the positions both before and after the rotation. Construct a 90 rotation of parallelogram ABCD...
-
The gradient of the curve y = ax 2 + bx at the point (3, 3) is 5. Find the value of a and the value of b.
-
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.
-
A Norman window has the outline of a semicircle on top of a rectangle. Suppose there are 8 + feet of wood trim available. Discuss why a window designer might want to maximize the area of the window....
-
Explain the concept of momentum, and offer an account as to why momentum is important for a specific brand of your choosing
-
Fast Lane Ltd manufactures motorbikes and is located in Brisbane. More than 70 percent of the caste the company's motorbikes consists of material and components, which are purchased from Australia,...
-
The bicycle is a simple machine. True or False
-
A 10.0 wt% aqueous solution of sodium chloride is fed to an evaporative crystallizer operated under a partial vacuum. Evaporation of water concentrates the remaining solution beyond its saturation...
-
You work for a large healthcare delivery system that is rooted in high performance and boasts innovation and the highest quality standards. Its' executive leadership and governing board continue to...
-
The following pie chart displays the position played by the most valuable player (MVP) in the National League of Major League Baseball from 1931 thru 2013. Explain how the graphic is misleading. What...
-
The equation of a curve is y = 3 + 4x x 2 . 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...
-
The curve y = x(x 1)(x + 2) crosses the x-axis at the points O(0, 0), A(1, 0)v and B(2, 0). The normals to the curve at the points A and B meet at the point C. Find the coordinates of the point C.
-
Explain why a real-time update of fixed asset records might be preferable to batch processing of fixed asset changes.
-
Consider the following C function that accepts two arguments, higher and lower, calculates the sum of all values stored between the higher and lower indexes of the array arr; and returns the result....
-
Harrimon Industries bonds have 5 years left to maturity. Interest is paid annually, and the bonds have a $1,000 par value and a coupon rate of 10%. a. What is the yield to maturity at a current...
-
Explain the key points to communicate to the CFO. Use the data sets linked in the Supporting Materials section to answer questions a , , b , , and c . . Include the following details in your...
-
as The equation of motion of a particle under the action of a position dependent force is given F(x)=m- dx dt (a) Prove that the change in the kinetic energy is equal to the work done by the force as...
-
Explain the basic properties of amines with reference to the compound below H I " H-C-N-H H H
-
You are the advertising manager for an established brand of laundry detergent and have just fought hard to have the promotional budget for the brand increased by 10 percent. You have just received a...
-
Why is disclosure of depreciation or amortization methods and rates so important?
-
What are the upper and lower 2.5th percentiles for a chi-square distribution with 2 df? What notation is used to denote these percentiles? Pulmonary Disease The data in Table 6.10 concern the mean...
-
Find the upper 2.5th percentile of a t distribution with 7 df? Pulmonary Disease The data in Table 6.10 concern the mean triceps skin-fold thickness in a group of normal men and a group of men with...
-
Find the lower 10th percentile of a t distribution with 28 df? Pulmonary Disease The data in Table 6.10 concern the mean triceps skin-fold thickness in a group of normal men and a group of men with...
-
Let set A = {-2, -1, 0, 1, 2} and set B = {3, 4}. Construct a relation from set A to B such that R = {(x, y) | 3x+ 2y is a prime number}
-
A local dealer sells baseballs for $25.00 each. If this is a 76.7% markup on cost, find the equivalent markup percent on the selling price
-
Assume (U, V) has bivariate normal distribution /where the marginal distributions of U and V are standard normal and /the correlation coefficient (U, V) = . What is the conditional distribution /of...
Study smarter with the SolutionInn App