A curve is such that dy/dx = ke 2-x + 4x, where k is a constant. At

Question:

A curve is such that dy/dx = ke^2-x + 4x, where k is a constant.

At the point (2, 10) the gradient of the curve is 1.

a. Find the value of k.

b. Find the equation of the curve.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Cambridge IGCSE And O Level Additional Mathematics Coursebook

ISBN: 9781108411660

2nd Edition

Authors: Sue Pemberton

See More Books

Question Posted: Sep 06, 2021 01:20 AM

See More Questions

A curve is such that dy/dx = kx 5 where k is a constant. The gradient of the normal to the curve at the point (2, -1) is 1/3. Find the equation of the curve.
A curve is such that d 2 y/dx 2 = 12x 12. The gradient of the curve at the point (2, 9) is 8. a. Express y in terms of x. b. Show that the gradient of the curve is never less than 2.
A curve is such that dy/dx = 2(kx 1) 5 where k is a constant. Given that the curve passes through the points (0, 1) and (1, 8) find the equation of the curve.
A stiff, straight, horizontal wire of length 25 cm and mass 20 g is supported by electrical contacts at its ends, but is otherwise free to move vertically upward. The wire is in a uniform, horizontal...
Give one example (atomic symbol and name) for each of the following. a. A transition element in the fifth period b. A halogen c. A main-group (representative) element in the second period d. An...
What is underapplied overhead? Overapplied overhead? What disposition is made of these amounts at the end of the period?
Acid rain In the acid rain study of Exercise 39, the actual pH measurement for Week 50 was 5.08. Find and interpret the residual for this week.
The management of a chain of fast-food restaurants wants to investigate the relationship between the daily sales volume (in dollars) of a company restaurant and the number of competitor restaurants...
Which of the following is part of an organization's value proposition? a. product quality b. all of these are part of the value proposition c. product availability d. brand image e. product price
Open the VB2015\Chap04\Debug Solution\Debug Solution (Debug Solution.sln) file. Open the Code Editor window and review the existing code. The btnCalc_Click procedure should calculate a 5% commission...
The point P(1, -2) lies on the curve for which dy/dx = 3 2/x. The point Q(2, k) also lies on the curve. a. Find the value of k. The tangents to the curve at the points P and Q intersect at the point...
A curve is such that dy/dx = k(2x 3) 3 where k is a constant. The gradient of the normal to the curve at the point (2, 2) is 1/8. Find the equation of the curve.
Look at Figure 26.1. For either the UK or the EU: a. Estimate the amplitude of the deviations from trend over the period shown. b. Estimate the length of time between the beginning of the deviation...
Companies that invest heavily in eco-friendly initiatives, such as transitioning to renewable energy sources or implementing carbon offset programs, may initially face increased operational costs....
Answer each question individually please. 14-13 What are the advantages and drawbacks of universities using social media to communicate with various stakeholdersstudents, potential students, alumni,...
act as a consultant hired by the operations director of the Barry Computer Company provide a financial analysis and comparison to the industry. You will conduct a financial ratio analysis to gain a...
Building a sense of community is not just a moral thing to do, but also a pragmatic one. In today's competitive and ever-evolving business environment, the organizations that can attract the most...
Watch https://youtu.be/U3MtvvNjUR4 What do you think of Dr. Saint's ideas about barriers to change? What do you think about social learning? Could this tool be used to make real change? How can the...
Redbud Company uses a certain part in its manufacturing process that it buys from an outside supplier for $36 per part plus another $5 for shipping and other purchasing-related costs. The company...
The graph of an equation is given. (a) Find the intercepts. (b) Indicate whether the graph is symmetric with respect to the x-axis, the y-axis, or the origin. -3 6 -6 3 x
In 2017, Julie, a single individual, reported the following items of income and deduction: Salary $166,000 Interest income 14,000 Long-term capital gain from sales of stock 22,000 Short-term...
Jerry sprayed all of the landscaping around his house with a pesticide in June 2017. Shortly thereafter, all of the trees and shrubs unaccountably died. The FMV and the adjusted basis of the plants...
During 2017, Pam incurred the following casualty losses: All of the items were destroyed in the same casualty. Before considering the casualty items,Pam reports business income of $80,000, qualified...
Use the following information: \ table [ [ Country , \ table [ [ Consumer Prices ] ] , Interest Rates,Current Units ( per US$ ) ] , [ Forecast , 3 - month, 1 - yx Covt Bond,, ] , [ 2 0 2 4 e ,...
Year-to-date, Yum Brands had earned a 3.70 percent return. During the same time period, Raytheon earned 4.58 percent and Coca-Cola earned 0.53 percent. If you have a portfolio made up of 40 percent...
Rate of Return If State Occurs State of Probability of Economy State of Economy Stock A Stock B Stock C Boom .15 .31 .41 .21 Good .60 .16 .12 .10 Poor .20 .03 .06 .04 Bust .05 .11 .16 .08 a. Your...

A curve is such that dy/dx = ke 2-x + 4x, where k is a constant. At

Question:

Step by Step Answer:

a To find the value of k we can use the fact that at the point 210 the gra...View the full answer

Cambridge IGCSE And O Level Additional Mathematics Coursebook

Students also viewed these Business questions