Find the equation of the tangent to each curve at the given point a y x 2 3x 2 at the point (3, 2) b y (2x 5) 4 at the point (2, 1) c d y x3 5 x at the point ( 1, 6)...

a To find the equation of the tangent we need to find the gradient of the curve at the point 32 then ...

Find the equation of the tangent to each curve at the given point. a. y = x

Question:

Find the equation of the tangent to each curve at the given point.
a. y = x² − 3x + 2 at the point (3, 2)
b. y = (2x − 5)⁴ at the point (2, 1)

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 And A Level Mathematics Pure Mathematics 1 Coursebook

ISBN: 9781108407144

1st Edition

Authors: Sue Pemberton, Julian Gilbey

See More Books

Question Posted: Mar 10, 2023 11:29 PM

See More Questions

Find the equation of the tangent line and normal line to the curve y = (2 + 3x) ^ 2 at the point (-4,100). Write the equations of the lines in the form y = mx + b 1) Tangent line y = 2) Normal line:...
Find the equation of the tangent to the curve at the given value of x. a. y = x 4 3 at x = 1 b. y = x 2 + 3x + 2 at x = -2 c. y = 2x 3 + 5x 2 1 at x = 1 d. y = 5 + 2/x at x = -2 e. y = (x -3) (2x ...
A curve passes through the point a. Find the equation of the tangent to the curve at the point A. b. Find the equation of the normal to the curve at the point A. 4 (2, 1); A and has equation y = 8 (x...
At December 31, 2014, Torrealba Company reported the following as plant assets. During 2015, the following selected cash transactions occurred. April 1 Purchased land for $1,200,000. May 1 Sold...
You've been shopping for a truck. You have $2000 to use as a down payment, and you've been working with your bank to get the best financing rate possible. The bank recently quoted you an APR of 4.5%...
The following graph shows the market for tickets to a concert that will be held in a local arena that seats 15,000 people. What is the producer surplus in this market? How does it differ from the...
The thermal efficiency of closed cycle gas turbine is given by (a) $1-\frac{1}{r_{p}^{\gamma-1}}$ (b) $1-\frac{1}{r_{p}^{(\gamma-1) / \gamma}}$ (c) $1-r_{p}$ (d) $r_{p}-1$
Each of the following situations describes an organizational unit. Identify the type of responsibility centre of each item in italics (cost, revenue, profit, or investment centre). a. The Goodyear...
Write a C program that uses the random number generator rand( ) to create an array with 20 numbers in the range from 1 to 50 and disply them in a row. The program sorts the array elements and...
Capital Edge Company has found that, historically, 0.5% of its current accounts receivable, 3% of accounts 1 to 30 days past due, 4.5% of accounts 31 to 60 days past due, 8% of accounts 61 to 90 days...
Find the gradient of the curve at the point where x = 2. y = 8 4x - 5
Differentiate with respect to x: a. (x + 4) 6 b. (2x + 3) 8 c. (3 4x) 5 d. e. f. 5(2x 1) 5 g. 2(4 7x) 4 h. i. (x 2 + 3) 5 j. (2 x2 ) 8 k. (x 2 + 4x) 3 l. 2 [+x
To assess the effects of instructor and student gender on student course scores, an experiment was conducted in 11 sections of managerial accounting classes ranging in size from 25 to 66 students....
Discuss the relevance of the Lewis Model of Growth and Development in examining the process of structural transformation in the Less Developed Countries (LDCs) Evaluate the criticisms and limitations...
The S&P 500 Index closed at 2863.39 on April 28 and closed at 2939.51 on April 29. Calculate the continuously compounded return on the index from April 28 to April 29.Answer to the nearest hundredth...
Answer each of the questions and briefly explain your reasoning. a) Describe the difference between patents and design registration. Do they need to be registered? (4 marks) b) In what circumstances...
Consider a two station line. The first station pulls from an infinite supply of raw materials (i.e., there are always jobs available at the buffer of the first station). Between the two stations...
If A(1,2) , B(4,3) and C(6,6) are the vertices of a parallelogram ABCD, find the coordinates of the fourth vertex D.
Select an ad you think would be processed by a central route to persuasion and one where you think the peripheral processing would occur. Show the ads to several people and ask them to write down the...
Imagine you are the HR manager at a company, and a female employee came to you upset because she felt a male coworker was creating a hostile work environment by repeatedly asking her out on dates...
If the central-limit theorem holds, then what percentage of t-values should exceed 2.776 in absolute value? Nutrition On the computer, draw 1000 bootstrap samples of size 5 from the distribution of...
Determine the actual percent of t-values that exceed 2.776 in absolute value. Do you feel the central-limit theorem is applicable to these data for samples of size 5? S I M U L A T I O N Nutrition On...
Suppose two total cholesterol determinations are obtained from one child, yielding an average value of 200 mg/dL. What is a two-sided 90% CI for the true mean total cholesterol for that child?...
List 2 QuickBooks features that allow you to save time. How do they assist you in saving time?please explain .
Research and find Tesla's financial ratios from 2020 - present: asset turnover: 0.60 - 0.91 receivable turnover: 16.72 - 27.59 inventory turnover: 6.07 - 5.81. Cheesecake Factoryasset turnover: 0.72...
Ball (2009) discusses the recent accounting scandals and how important our accounting system is to financial markets. What is the economic role of financial reporting? Why is our understanding of...

Find the equation of the tangent to each curve at the given point. a. y = x

Question:

y = x3-5 x at the point (-1, 6)

Step by Step Answer:

a To find the equation of the tangent we need to find the gradient of the curve at the point 32 then ...View the full answer

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

Students also viewed these Mathematics questions