A curve has equation y = Ae 2x + Be -2x . The gradient of the tangent
Question:
A curve has equation y = Ae2x + Be-2x.
The gradient of the tangent at the point (0, 10) is – 12.
a. Find the value of A and the value of B.
b. Find the coordinates of the turning point on the curve and determine its nature.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 62% (8 reviews)
a To find the value of A and B we need to use the gradient of the tangent at the point 0 10 The grad...View the full answer
Answered By
Ravi Tomar
I have 5 years of experience as an Agricultural Economics tutor. During this time, I have been able to successfully provide guidance to students in their studies and help them develop their knowledge and understanding of the subject. My approach to teaching has always been to combine academic learning with practical application, often drawing on my professional experience to help students better understand how the concepts they learn apply to the real world. I also focus on helping students develop critical thinking skills, enabling them to tackle problems independently and develop their own solutions. I have also been able to provide support on specific assignments, helping students to structure their work and ensure that it meets the required quality and standards.
0.00
0 Reviews
10+ Question Solved
Related Book For
Cambridge IGCSE And O Level Additional Mathematics Coursebook
ISBN: 9781108411660
2nd Edition
Authors: Sue Pemberton
Question Posted:
Students also viewed these Business questions
-
A curve has equation y = f(x). (a) Write an expression for the slope of the secant line through the points P(3, f(3)) and Q(x, f(x)). (b) Write an expression for the slope of the tangent line at P.
-
A curve has equation y = f(x). (a) Write an expression for the slope of the secant line through the points P(3, f(3)) and Q(x, f(x)). (b) Write an expression for the slope of the tangent line at P.
-
A curve has equation y = x 5 5x 3 + 25x 2 + 145x + 10. Show that the gradient of the curve is never negative.
-
Silverago Incorporated, an international metals company, reported a loss on the sale of equipment of $2 million in 2010. In addition, the companys income statement shows depreciation expense of $8...
-
If 456 dm3 of krypton at 101 kPa and 21oC is compressed into a 27.0-dm3 tank at the same temperature, what is the pressure of krypton in the tank?
-
On April 1, 2011, the Apex Corporation sold a parcel of underdeveloped land to the Applegate Construction Company for $2,400,000. The book value of the land on Apex's books was $480,000. Terms of the...
-
A wire carrying a \(3.0-\mathrm{A}\) current lies along the \(x\) axis of an \(x y\) coordinate system, extending from \(x=0\) to \(x=10 \mathrm{~m}\). What is the magnitude of the magnetic field at...
-
The following data give the starting salary for students who recently graduated from a local university and accepted jobs soon after graduation. The starting salary, grade-point average (GPA), and...
-
11. Combustion of 1 mole of C6H6(l) inside a closed container of constant volume liberates 900 kJ of heat energy. What would be the value of heat liberated per mole of C6H6(l) if the reaction occurs...
-
Product mix and overtime decisions Excel Corporation manufactures three products at its plant. The plant capacity is limited to 120,000 machine hours per year on a single-shift basis. Direct material...
-
The diagram shows a circle, centre O, radius r cm. The points A and B lie on circle such that angle AOB = 2 radians. i. Find, in terms of r and , an expression for the length of the chord AB. ii....
-
A curve has equation y = x ln x. The curve crosses the x-axis at the point A and has a minimum point at B. Find the coordinates of A and the coordinates of B.
-
The iterative method to solve f (x) = 0, given by the fixed-point method g(x) = x, where has g'( p) = g''( p) = 0. This will generally yield cubic ( = 3) convergence. Expand the analysis of Example 1...
-
The loaded cab of an elevator has a mass of 4.90 103 kg and moves 208. m up the shaft in 16.0 s at constant speed. At what average rate does the force from the cable do work on the cab? Number Units
-
There were 417 cell phones sold at an electronics store in January. Since then, cell phone sales at this store have increased at a rate of 3.75% per month. At this rate of growth, which function can...
-
need an explanation on the following. What effect would a left- or right-hemisphere stroke have on a person's ability to perceive emotions?
-
The volume of the tank is 12L and the time elapsed is non-negative. For which values of t does the equation V=4t accurately model the volume of the tank?
-
What is the output of the following code. Assume a, signifies a new line. = list ["13", "10", "Mike", "Sue"] while len(list) > 4: x = list.pop() print(x) print("done")
-
Let A be an n x n matrix and x Rn. Prove (a) ||Ax||2 n1/2 ||A||||x||2 (b) n-l/2||A||2 ||A|| n1/2||A||2
-
Suppose a population of bacteria doubles every hour, but that 1.0 x 106 individuals are removed before reproduction to be converted into valuable biological by-products. Suppose the population begins...
-
Stan rented an office building to Clay for $3,000 per month. On December 29, 2016, Stan received a deposit of $4,000 in addition to the first and last months rent. Occupancy began on January 2, 2017....
-
Ed owns Oak Knoll Apartments. During the year, Fred, a tenant, moved to another state. Fred paid Ed $1,000 to cancel the two-year lease he had signed. Ed subsequently rented the unit to Wayne. Wayne...
-
Susans salary is $44,000 and she received dividends of $600. She received a statement from SJ partnership indicating that her share of the partnerships income was $4,000. The partnership distributed...
-
Calculate the total deformation in a 25ft long, 4 in. diameter steel bar hanger that supports a 390 kip load. This bar is also subjected to a change in temperature from 140oF before loading to -10oF...
-
Recognize the integrated topologies in the following hybrid network. Marks] HYBRID TOPOLOGY
-
Shaddam wants to save up some money for a boat. He can afford to invest $235 every month into an account that earns 8.3%, compounded monthly. -2 How long will it take for Shaddam's investment to...
Study smarter with the SolutionInn App