a) Find the coordinates of the points on the curve y = x x + 2
Question:
a) Find the coordinates of the points on the curve y = x² − x + 2 at which the gradients are 3 and −3.
b) Find the equations of the tangents at these points.
c) Show that these tangents intersect at the point (1/2, −1/2).
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 0% (3 reviews)
a To find the coordinates of the points on the curve where the gradient is 3 or 3 we need to find th...View the full answer
Answered By
FELIX NYAMBWOGI
I have been tutoring for over 5 years, both in person and online. I have experience tutoring a wide range of subjects, including math, science, English, and history. I have also worked with students of all ages, from elementary school to high school.
In addition, I have received training in effective tutoring strategies and techniques, such as active listening, questioning, and feedback. I am also proficient in using online tutoring platforms, such as Zoom and Google Classroom, to effectively deliver virtual lessons.
Overall, my hands-on experience and proficiency as a tutor has allowed me to effectively support and guide students in achieving their academic goals.
0.00
0 Reviews
10+ Question Solved
Related Book For
Complete Pure Mathematics 1 For Cambridge International AS & A Level
ISBN: 9780198427438
2nd Edition
Authors: Jean Linsky, Brian Western, James Nicholson
Question Posted:
Students also viewed these Mathematics questions
-
In Exercises analyze and sketch a graph of the function. Label any intercepts, relative extrema, points of inflection, and asymptotes. Use a graphing utility to verify your results. y 3x x - 1
-
In Exercises find a polar equation for the conic with its focus at the pole. (For convenience, the equation for the directrix is given in rectangular form.) Conic Hyperbola Eccentricity e = 2...
-
Suppose that the market price of vegetables recently increased substantially this year. Develop a two-page essay discussing what might have caused this. 1. Are there any changes in the supply or/and...
-
The fraud examiner's report should have what characteristics? a. Accuracy and clarity b. Relevant and material information c. Should not contain opinions or prejudices of fraud examiner. d. All of...
-
RSTN Co. produces its product through two sequential processing departments. Direct materials and conversion are added to the product evenly throughout the process. The company uses monthly reporting...
-
Julie has been hired to help paint the trim of a building, but she is not convinced of the safety of the apparatus. A 5.0-m plank is suspended horizontally from the top of the building by ropes...
-
Distinguish between power, authority, and leadership and give some examples of each.
-
1. Should Green Design adopt ERP? Why or why not? Provide specific reasons. 2. Is the experience of other companies relevant? Use the Internet to locate a software platform that may be useful to...
-
Suppose the amounts presented here are basic financial information (in millions) from the 2025 annual reports of Nike an Nike adidas Sales revenue $18,455.5 10,493.0 Allowance for doubtful accounts,...
-
a. An analysis of WTI s insurance policies shows that $2,400 of coverage has expired. b. An inventory count shows that teaching supplies costing $2,800 are available at year-end. c. Annual...
-
Find the equations of the tangents to the curve y = x x 12 at each of the points where the curve crosses the x-axis.
-
Find f(x) when a) b) c) d) f(x) = 2x + x X
-
The data below give the dew and bubble temperature of methanol/ ethanol mixtures at 1 bar. a) A solution containing 30% methanol (by mol) is flashed to 1 bar, 70.82 C. Determine the phase of the...
-
What do we mean by the limit of a sequence?
-
Milk containing \(20 \%\) butterfat is mixed with cream containing \(60 \%\) butterfat to produce half-and-half, which is \(50 \%\) butterfat. How many gallons of each must be mixed to make 180...
-
Given the matrices in Problems 32-35, perform elementary row operations to obtain a 1 in the third row, third column without changing the entries in the first two columns....
-
Given the matrices in Problems 20-23, perform elementary row operations to obtain zeros under the 1 in the first column. Answers may vary. \([C]=\left[\begin{array}{rrr:r}1 & 2 & 4 & 1 \\ -2 & 5 & 0...
-
Suppose there are ten serious, but almost indistinguishable, candidates for a U.S. presidential primary. Also suppose that at the last possible minute a very radical candidate enters the race. He is...
-
Explain how radioactive dating works.
-
You are a Loan Officer with an Investment Bank. Today you need to set your lending parameters. They are: LTV: 55% 10 Year T-Bill: TBD Rate Markup: 300 Basis Points Term: 30 Years Amortization: 30...
-
Use ordinal logistic regression to assess the association between SBP z-score group and the same variables in Problem 13.122? Hypertension The data set WALES.DAT contains familial data on blood...
-
13.122 Use polytomous logistic regression with group = 0 as the reference group to assess the association between SBP z-score group and the following variables: (a) BMI, (b) height, (c) region (i.e.,...
-
Assess whether the effect of age at menarche is different for Caucasian vs. African American women. Report a p-value (two-tailed)? Two logistic models were run with Stata Version 11 using these data....
-
Kirkland Garage Doors manufactures a premium garage door. Currently, the price and cost data associated with the premium garage door are as follows: (Click the icon to view the data.) i (Click the...
-
Oxley, Incorporated manufactures three products (Alpha, Beta, and Gamma) utilizing, in one of the processes, a single machine for all products. Data on the individual products follow: Price per unit...
-
Deep Ocean Potteryworks makes a variety of pottery products that it sells to retailers such as Home Depot. The company uses a job- order costing system in which predetermined overhead rates are used...
Study smarter with the SolutionInn App