A curve is such that dy/dx = 6e 2x + 2e -x . Given that the curve

Question:

A curve is such that dy/dx = 6e^2x + 2e^-x. Given that the curve passes through the point (0, 2), 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 International AS & A Level Mathematics Pure Mathematics 2 & 3 Coursebook

ISBN: 9781108407199

1st Edition

Authors: Sue Pemberton, Julianne Hughes, Julian Gilbey

See More Books

Question Posted: Mar 18, 2023 07:07 AM

A curve is such that dy/dx = cos x sin x. Given that the curve passes through the point (/2, 3), find the equation of the curve.
A curve is such that dy/dx = k + x where k is a constant. a. Given that the tangents to the curve at the points where x = 5 and x = 7 are perpendicular, find the value of k. b. Given also that the...
A curve is such that dy/dx = 1 4 cos 2x. Given that the curve passes through the point (/4, 1), find the equation of the curve.
Quick Fix-it Corporation was organized in January 2011 to operate several car repair businesses in a large metropolitan area. The charter issued by the state authorized the following capital stock:...
Use the Poisson table to approximate the following binomial probabilities: a. P(x = 2) when n = 200, p = .03 b. P(x = 4) when n = 1000, p = .001 c. P(x = 2) when n = 800, p = .002
In Figure a 1.34kg ball is connected by means of two mass less strings, each of length L = 1.70 m, to a vertical, rotating rod. The strings are tied to the rod with separation d = 1.70 m and are...
Explain the following pairs in relation to each other: a. Method and operation b. Event and state. c. Interaction and message.
You have been hired as a fraud auditor to examine the assets of a company that recently filed for Chapter 11 bankruptcy. The company manufactures and sells circuit boards for childrens computerized...
Anne Askew s interrogations and execution occurred in the reign of which monarch? Why is that detail significant or surprising?
a. Fnd Here k is a positive constant. b. Hence find the exact value of k S (5e-2x + 2e-3x) dx_
A curve is such that Given that the curve passes through the point Given that the curve passes through the point (e, e 2 ), find the equation of the curve. dy d.x = 2x + 3 x + e
The cam is subjected to a couple moment of M. Determine the minimum force P that should be applied to the follower in order to hold the cam in the position shown. The coefficient of static friction...
A car generator turns at 470 rpm when the engine is idling. Its 290-turn, 5.20 by 6.20 cm rectangular coil rotates in an adjustable magnetic field so that it can produce sufficient voltage even at...
Columbus Instruments a. What are the implications of CIC's approach to staffing project teams? is the company using project teams as training grounds for talented fast-trackers, or as dumping grounds...
Discuss when you would use nonverbal communication and give two examples of how to use it to clarify a message?
Examine any five factors that your small coffee shop should consider when selecting mode of shipment, carrier and routing. Use relevant examples.
Describing the closure of a factory in a small town as "reallocation of resources" is an example of 5 pts
How can you change s of a substance going through a reversible process?
How many years will it take a $700 balance to grow into $900 in an account earning 5%?
a. Find fg(x). b. Find the range of the function fg(x). f(x) = x 2 5x for x g(x) = 2x + 3 for x
A line has equation 2x + y = 20 and a curve has equation where a is a constant. Find the set of values of a for which the line does not intersect the curve. 18 x-3 y = a +-
a. Find the set of values of x for which f(x) 7. f(x) = x 2 2x + 4 for x b. Express x 2 2x + 4 in the form (x a) 2 + b. c. Write down the range of f .
Given that f(x)=x+1 and g(x) = x-x, find (f+g)(-2), if it exists.
10. Due to employee safety negligence at a nuclear waste facility, 2000 tons of a radioactive element is spilled into the nearby pond. The half-life of the radioactive element is 36 days. In order to...
How do historical and cultural variations in definitions of deviance challenge our understanding of its universality and the fluidity of social norms over time ?

A curve is such that dy/dx = 6e 2x + 2e -x . Given that the curve

Question:

Step by Step Answer:

Given dydx 6e2x 2ex The curve passes through the point 0 2 So...View the full answer

Cambridge International AS & A Level Mathematics Pure Mathematics 2 & 3 Coursebook

Students also viewed these Mathematics questions