The point ( 2, 5) lies on the curve for which dy dx 4 sin(2x 2) a Find the equation of the curve b Find the equation of the normal to the curve at the point where x 3 ...

The point (/2, 5) lies on the curve for which dy/dx = 4 sin(2x /2). a.

Question:

The point (π/2, 5) lies on the curve for which dy/dx = 4 sin(2x – π/2).

a. Find the equation of the curve.

b. Find the equation of the normal to the curve at the point where x = π/3.

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

The point P(/3, 3) lies on the curve for which dy/dx = 3 cos(3x /2). 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 P(3/2, 5) lies on the curve for which dy/dx = 2e 3-2x . The point Q(1, k) also lies on the curve. a. Find the value of k. The normal to the curve at the points P and Q intersect at the...
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...
In the first case, the relationship between F and H is found to be inverse when the height decrease the area will increase, and the force will increase too. Therefore, I need a logical and practical...
Describe how Dalton obtained relative atomic masses.
Donna Shader, manager of the Winter Park Hotel, is considering how to restructure the front desk to reach an optimum level of staff efficiency and guest service. At present, the hotel has five clerks...
Suppose the purchase price of the forklift is $$20,000,$ its residual value in four years is certain to be $$6000,$ and there is no risk that the lessee will default on the lease. If the...
(Financial Reporting Pressures) Presented below is abbreviated testimony from Troy Normand in the WorldCom case. He was a manager in the corporate reporting department and is one of five individuals...
15. If y = 3x-4x+2 then slope at x = 1 is: (1) 1 (2) 2 (3) 4 (4) -2 16. sin240 = ? (1) - 2 (3) 3 1/2 17. Value of sin 2 is (4) (2) 12 (1) 23 (2) (3) 90 180 (4) 0 18. The rate of mass of the gas...
The Jackson independent School District began the year with the following accounts on its Balance Sheet related to property taxes (all amounts are in thousands of dollars). All accounts have normal...
i. Show that d/dx(e 4x /4 xe 4x ) = pxe 4x , where p is an integer to be found. ii. Hence find the exact value of 0 ln2 xe 4x dx, giving your answer in the form a ln 2 + b/c, where a, b and c are...
The tangent to the curve y = 6x x 2 at the point (2, 8) cuts the x-axis at the point P. a. Find the coordinates of P. b. Find the area of the shaded region. (2, 8) y = 6x x 2 10 6
Assume the United States has the following import/export volumes and prices. It undertakes a major "devaluation" of the dollar, say 18% on average against all major trading partner currencies. What...
Suppose you own a portfolio composed of the top 5 streaming stocks since you like have subscriptions to a few. The table below gives the betas (with respect to the S&P 500) of these stocks as well as...
When a given elastic band is stretched 0.37 m it has 1.32 J of elastic potential energy stored in it. What is the force constant for the elastic band?
Create a Java function that takes a List> representing a matrix and returns the matrix in spiral order.
A cubic box contains 1,000 g of water. What is the length of one side of the box in meters? Explain your reasoning.
Provide your examples of the following using Python lists . Nested lists The "*" operator List slices The "+=" operator A list filter A list operation that is legal but does the "wrong" thing,...
Let A be a particular vector in R22. Determine whether the following are subspaces of R22. (a) S1 = {B R22 | AB = BA} (b) S2 = {B R22 | AB BA} (c) S3 = {B R22 | BA = 0} Determine whether the...
Subtract the polynomials. (-x+x-5) - (x-x + 5)
Richard Penn lives in Harrisburg, Pennsylvania. Richard is the president of an architectural firm. Richard has become known throughout the community for excellent work and honesty in his business...
Three years ago, Paul Wilde exercised all his stock options in the start up company he helped establish and walked away with over $100 million. Since that time, he has spent all his energy, time, and...
a. For which persons may a taxpayer deduct medical expenses? b. In the case of children of divorced parents, must the parent who is entitled to the dependency exemption pay the medical expenses of...
You're analyzing a 1-year swap with quarterly payments and a notional principal amount of $20 million. Annualized LIBOR spot rates in months today are: t r t 3 3.25% 6 3.75% 9 4.25% 12 4.60% ...
Describe the historical simulation method and explain why it is used to calculate bond Value-at-Risk with reference to how market risk affects bond prices.
An ARM loan, Loan Amount = $250,000; Monthly Payments, Index = 1-Year Treasury bill. Index at the end of year 1 is 7%. Index at the end of year 2 is 6.5%. Index at the end of year 3 is 8.0%. One Year...

The point (/2, 5) lies on the curve for which dy/dx = 4 sin(2x /2). a.

Question:

Step by Step Answer:

a The equation of the curv...View the full answer

Cambridge IGCSE And O Level Additional Mathematics Coursebook

Students also viewed these Business questions