A curve is such that dy/dx = k cos 3x 4, where k is a constant.
Question:
A curve is such that dy/dx = k cos 3x – 4, where k is a constant.
At the point (π, 2) the gradient of the curve is – 10.
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:
Answer rating: 57% (7 reviews)
a At the point 2 the gradient of the curve is 10 so we can use the given e...View the full answer
Answered By
BillClinton Muguai
I have been a tutor for the past 5 years. I have experience working with students in a variety of subject areas, including computer science, math, science, English, and history. I have also worked with students of all ages, from elementary school to college. In addition to my tutoring experience, I have a degree in education from a top university. This has given me a strong foundation in child development and learning theories, which I use to inform my tutoring practices.
I am patient and adaptable, and I work to create a positive and supportive learning environment for my students. I believe that all students have the ability to succeed, and it is my job to help them find and develop their strengths. I am confident in my ability to tutor students and help them achieve their academic goals.
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 is such that dy/dx = 1/x+e for x > -e. Given that the curve passes through the point (e, 2 + ln 2), find the equation of the curve.
-
A curve is such that dy/dx = 3x 2 4x + 1. Given that the curve passes through the point (0, 5) find the equation of the curve.
-
A curve is such that dy/dx = 2x + 5/x for x > 0. Given that the curve passes through the point (e, e 2 ), find the equation of the curve.
-
Researchers examined forecasters' interest rate predictions for 34 quarters to see whether the predictions corresponded to what actually happened. The 2 x 2 contingency table below shows the...
-
For each of the following binary compounds, decide whether the compound is expected to be ionic or molecular. a. AlN b. As4O6 c. ClF3 d. Fe2O3
-
You have been assigned to the audit of Mid-State Electronics Corporation, a medium-size distributor of electronics equipment serving a geographic area within a radius of 150 miles. MidState has...
-
What is equity capital? Explain the advantages to the firm of raising capital this way. What are the disadvantages?
-
In one of the little-known battles of the Civil War, General Tecumseh Beauregard lost the Third Battle of Bull Run because his preparations were not complete when the enemy attacked. If the critical...
-
Problem 12-2 20 points Speaker Inc is considering expanding their business. They plan to hire a salesperson to cover trade shows. Because of compensation, travel expenses, and booth rental, fixed...
-
Given: E(R1) = 0:10 E(R2) = 0:15 E(1) = 0:03 E(2) = 0:05 Calculate the expected returns and expected standard deviations of a two-stock portfolio in which Stock 1 has a weight of 60 percent under the...
-
a. Differentiate 4x 3 ln(2x + 1) with respect to x. b. i. Given that y = 2x/x+2, show that dy/dx = x+4/(x+2) 3 . ii. Hence find iii. Hence evaluate 5x + 20 dx. (J + 2 )*
-
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...
-
What controls must be used to protect data that is transmitted across wireless networks?
-
1. Which must exist before a country can specialize its production? Responses an international division of labor government subsidies a global economy a free-market system 2. Which circumstances...
-
(5) (5) (5) (5) A rectangular cross-section suction wind tunnel is designed with a curved upper wall and a straight bottom wall. We are interested in characterising the boundary layer development...
-
The worksheet shown below was designed to calculate the total pressure felt by an object submerged in a fluid as a function of the depth the object is submerged. The user will enter the surface...
-
Provide a detailed account of how each concept could be applied to retail or why it cannot be applied (variable costs, fixed costs, mixed costs, and job order costing). Use concrete examples, data,...
-
Many organizations compute their contribution margin (CM) regularly. Consider what your "elevator pitch" would be if you were trying to convince your boss to start computing the CM (assume your boss...
-
The three accounts shown below appear in the general ledger of Halo Corp. during 2017. Instructions From the postings in the accounts, indicate how the information is reported on a cash flow...
-
Choose two matrices A and B with dimension 2 x 2. Calculate det A, det B, and det (AB). Repeat this process until you are able to discover how these three determinants are related. Summarize your...
-
What is an ad valorem tax? If a tax that is levied on personal property is not an ad valorem tax, under what circumstances may it still be deductible?
-
When real estate is sold during a year, why is it necessary that the real estate taxes on the property be apportioned between the buyer and seller?
-
a. Identify the different categories of interest expense an individual may incur. How is the classification of the interest determined? b. Are these different categories of interest deductible? If...
-
Why is it important to introduce business people to transactional accounting (debits and credits)? Has technology like accounting software replaced the need to understand transactional accounting?...
-
1 Lea los reportajes sobre distintos esfuerzos en pases andinos. Apunte diez de las palabras del Vocabulario del tema que encuentre. Hay ms pero solo debe apuntar diez. Luego, apunte quince cognados...
-
Explain the potential regression method you will use for this document Ex) I plan to use such and such regression method because ... Ex) Likert-scale survey responses are nominal, and so requires...
Study smarter with the SolutionInn App