The grid shows the graph of y = x 3x + 1. a) Estimate the gradient
Question:
The grid shows the graph of y = x³ − 3x + 1.
a) Estimate the gradient of the tangent to the curve at the
point where x = −1.5.
b) Write down the coordinates of the points on the curve
where the gradient of the tangent equals 0.
Transcribed Image Text:
1 YA 4 3 0 -1 -2 X
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 80% (10 reviews)
To estimate the gradient of the tangent to the curve at x 15 we need t...View the full answer
Answered By
Aketch Cindy Sunday
I am a certified tutor with over two years of experience tutoring . I have a passion for helping students learn and grow, and I firmly believe that every student has the potential to be successful. I have a wide range of experience working with students of all ages and abilities, and I am confident that I can help students succeed in school.
I have experience working with students who have a wide range of abilities. I have also worked with gifted and talented students, and I am familiar with a variety of enrichment and acceleration strategies.
I am a patient and supportive tutor who is dedicated to helping my students reach their full potential. Thank you for your time and consideration.
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
-
Directions Please determine which research method is being used in the following examples: Case Study, Correlation, and Experiment. For correlations, please indicate the type (positive or negative)....
-
The point (2, 8) is on the curve y = x 3 px + q. a. Use this information to find a relationship between p and q. b. Find the gradient function dy/dx. The tangent to this curve at the point (2, 8) is...
-
Granite Corp. sent a check to Overseas Equipment Co. When the check was reported lost, Granite wrote to its bank telling it to stop payment on the check. Granite then sent the money to Overseas...
-
Google produces tablet computers for sale. Identify some of the variable and fixed product costs associated with that production.
-
Why is it reasonable to neglect the other planets in calculating the speed needed to escape from the solar system? Would you expect the actual value of this speed to be greater or less than that...
-
Summarize the features of the caste system in India and evaluate its relationship to religion, colonialism, and social mobility.
-
On January 1, Beckman, Inc., acquires 60 percent of the outstanding stock of Calvin for $36,000. Calvin Co. has one recorded asset, a specialized production machine with a book value of $10,000 and...
-
5. a) Use the sine law to find the length of side c. 3 cm C A 40 2=> 65 b) Use the sine law to find the measure of ZP. Q 15 cm P 7 cm 110 R Use the cosine law to find the measure of E. 8 mm
-
Univex is a calendar year, accrual basis retail business. Its financial statements provide the following information for the year: Revenues from sales of goods $ 783,200 Cost of goods sold (FIFO) ...
-
Given that y = 3x ax and d 2 y/dx 2 = 54 when x = 2 work out the value of a.
-
Find d 2 y/dx in each case. a) y = 2x + 4x b) y = 3x 9 7x c) y = (2x + 1)(x 8) d) y = x (x + 5x 7 ) e) y = 6x(2x x + 1) f) ) y = (9 x) 5 g) h) i) y = 4 x + x + X
-
What are the sources and causes of complexity in our tax system? Which, if any, of these causes are correctable?
-
Given the matrices in Problems 28-31, perform elementary row operations to obtain a zero (or zeros) above and below the 1 in the second column without changing the entries in the first column....
-
A box contains \(\$8.40\) in nickels, dimes, and pennies. How many of each type of coin is in the box if the number of dimes is six less than twice the number of pennies, and there is an equal number...
-
A plane makes an 870 -mile flight in \(3 \frac{1}{3}\) hours against a strong head wind, but returns in 50 minutes less with the wind. What is the plane's speed without the wind?
-
Given the matrices in Problems 24-27, perform elementary row operations to obtain a 1 in the second row, second column without changing the entries in the first column....
-
Find the optimum value for each objective function given in Problems 47-51. Maximize \(W=30 x+20 y\) subject to the constraints of Problem 35. Data from problem 35 \(\left\{\begin{array}{l}x \geq 0...
-
In the spontaneous fission of radium-226, the following reaction occurs: 226Ra ( 156Pm + 68Co + 21n For every mole of radium-226 that decays, 0.1330 g of mass is lost. How much energy is given off...
-
One hundred pounds of water at atmospheric pressure are heated from 60F to 200F. What is the enthalpy change? The internal energy change? Why is the difference between the internal energy change and...
-
Suppose the average BMI of Hispanic boys is higher than that for Caucasian boys. Is BMI a confounder of the association between ethnic group and hypertension? If so, is it a positive or negative...
-
Is BMI an effect modifier of the association between hypertension and ethnic group? Why or why not? One assumption of the model in Table 13.55 is that the association between hypertension and ethnic...
-
What is the estimated OR for hypertension comparing Hispanic vs. Caucasian boys with BMI = 25 kg/m 2 (call this OR 3 .)? One assumption of the model in Table 13.55 is that the association between...
-
After calculating the average position ( distances ) ?for each run, calculate the distance traveled during each second, as well as the average velocity during each second. Run 1 Run 2 Run 3 Distance...
-
10)a) Define the term "Inventory Control" and list different areas in which inventory control can be applied in an industrial setting. b) A company whose monthly supply is 40,000 units to its...
-
Dylan has job income of $8,500 and no tax liability. He has one child, Kayla, who is 10 years-old. The refundable portion of the $2,000 child tax credit is how much? (Do not use dollar signs,...
Study smarter with the SolutionInn App