A curve is such that dy/dx = kx + 3, where k is a constant. The gradient
Question:
A curve is such that dy/dx = kx + 3, where k is a constant. The gradient of the normal to the curve at the point (1, −2) is − 1/7. Find the equation of the curve.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 71% (7 reviews)
We know that the derivative of a curve gives us its slope at each point and the slope of t...View the full answer
Answered By
Umair Yousuf
Through my training and programming, I have developed the ability to provide clear and concise explanations, offer examples and analogies, and adapt my responses to match the individual learning styles and levels of my users. I have access to a vast database of knowledge and resources that I can draw upon to provide comprehensive and accurate information.
Furthermore, I can offer interactive learning experiences such as quizzes, exercises, and simulations to help reinforce concepts and provide hands-on practice.
Overall, while I may not have hands-on experience as a traditional tutor, I am proficient in providing educational assistance and support to individuals seeking academic help.
0.00
0 Reviews
10+ Question Solved
Related Book For
Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook
ISBN: 9781108407144
1st Edition
Authors: Sue Pemberton, Julian Gilbey
Question Posted:
Students also viewed these Mathematics 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 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.
-
On average, do people prefer a... 6 game package with 300-level, mid-court seats and a $20 gift certificate for $35/seat or a 3 game package with 300-level, corner seats that come with a hotdog and...
-
The flowchart below depicts the sales/collection process for Richards Furniture Company, a mid-sized retailer of living room and bedroom furniture. Use the flowchart to generate a narrative...
-
What is done in the post-audit? AppendixLO1
-
An increase in days sale outstanding __________ the firms liquidity position.
-
One reason accounting earnings might not be a realistic measure of economic income is the incentive and ability of business managers to manipulate reported profits for their own benefit. This may be...
-
Results of Financial Crisis (write 200 to 300 words) 1. What happened in foreign exchange markets? 2. What happened in real markets and banking markets? 3. What happened in securities markets? Hong...
-
Don and Joe went into business together as equal co-owners. Joe had a lot of money but l no business sense and Don had the "know how". Don and Joe each invested $10,000 and Joe loaned the business...
-
A function is defined for x Rand is such that f(x) = 6x 6. The range of the function is given by f(x) 5. a. State the value of x for which f(x) has a stationary value. b. Find an expression for...
-
a. Given that b. Hence, evaluate y = (x + 1) 10 find dy d.x
-
A company sends out an electronic catalogue its customers. Suggest a suitable storage medium and justify your choice with reasons.
-
An epidemiologist plans to conduct a survey to estimate the percentage of women who give birth. How many women must be surveyed in order to be 90% confident that the estimated percentage is in error...
-
Palmerstown Company established a subsidiary in a foreign country on January 1, Year 1, by investing 8,000,000 pounds when the exchange rate was $1.00/pound. Palmerstown negotiated a bank loan of...
-
Question 1.Which of the following plans provide the greatest immediate tax benefit for the participating employee? (1) Roth IRA (2) deductible IRA (3) non-deductible IRA (4) 401(k) a. (1) and (3)...
-
Transcribed image text: 9:13 LTE Done 7 of 7 QUESTION WA AUDION QUESTION 23 = w the tons of a coin comes down heads, you win two dollars. If it comes down tails, you lose fifty cents. How much would...
-
TRUE or FALSE It is 2016 and the D.C. Circuit has issued its ruling in USTA v. FCC . The D.C. Circuit upheld the 2015 Open Internet Order so the FCC's net neutrality rule stands.True or...
-
Young Company produced 500 units of product that required 2.5 standard hours per unit. The standard fixed overhead cost per unit is $0.30 per hour at 1,500 hours, which is 100% of normal capacity....
-
Give the structural formulas of the alkenes that, on ozonolysis, give: a. (CH3)2C=O and CH2=O b. Only (CH3CH2)2C=O c. CH3CH=O and CH3CH2CH=O d. O=CHCH2CH2CH2CH=O
-
What will be the result if we conclude that the mean is greater than 45 when the actual mean is 45? (i) We have made a type I error. (ii) We have made a type II error. (iii) We have made the correct...
-
What will be the result if we conclude that the mean is 45 when the actual mean is 50? (i) We have made a type I error. (ii) We have made a type II error. (iii) We have made the correct decision....
-
Which of the following sample results yields the smallest p-value and why? (i) x = 28, s = 6 (ii) x = 27, s = 4 (iii) x = 32, s = 2 (iv) x = 26, s = 9 Suppose we wish to test H 0 : = 30 vs. H 1 : ...
-
Yard Professionals Incorporated experienced the following events in Year 1, its first year of operation: Performed services for $31,000 cash. Purchased $7,800 of supplies on account. A physical count...
-
This question is from case # 24 of book Gapenski's Cases in Healthcare Finance, Sixth Edition Select five financial and five operating Key Performance Indicators (KPIs) to be presented at future...
-
assume that we have only two following risk assets (stock 1&2) in the market. stock 1 - E(r) = 20%, std 20% stock 2- E(r) = 10%, std 20% the correlation coefficient between stock 1 and 2 is 0. and...
Study smarter with the SolutionInn App