For each of the following functions, find the coordinates of the stationary points and determine their nature.
Question:
For each of the following functions, find the coordinates of the stationary points and determine their nature. Sketch the curve.
a) y = x² − 8x + 12
b) y = x² − x³
c) y = 4x³ − x4
d) y = x² − 2x + 7
e) y = x3(x − 2)
f) y = 20 + 15x − x² − x3/3
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 75% (8 reviews)
a To find the stationary points we need to find where the derivative of the function is equal to zer...View the full answer
Answered By
Dhananjay Kadlag
I have a significant tutoring experience in my B.Tech journey. I used to teach primary and secondary school students by solving and clearing their doubts in my free time. Apart from that I also use to teach students new chapters of the various Science and Maths subjects.
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
-
For each of the following functions, find the coordinates of the stationary points and determine their nature. a) y = x 2x + 5 b) y = 3 + x x c) y = 2x + 4x 3 d) y = x 5x + 3x + 1 e) y = x 2x 2...
-
For each of the following functions g: R - R, determine whether the function is one-to one and whether it is onto. If the function is not onto, determine the range g(R) a) gix) = x + 7 (b) gix) = 2x...
-
For each of the following functions /: Z -> Z, determine whether the function is one-to-one and whether it is onto. If the function is not onto, determine the range /(Z). (a) f{x) = x + 7 (b) fix) =...
-
What is unrealistic about the domino fault model?
-
Widmer Watercraft's predetermined overhead rate for 2015 is 200% of direct labor. Information on the company's production activities during May 2015 follows. a. Purchased raw materials on credit,...
-
Mr. and Mrs. DM file a joint tax return. Each spouse contributed $3,800 to a traditional IRA. In each of the following cases, compute the deduction for these contributions. The AGI in each case is...
-
Look at the visualization titled "Changing Face of America" (the second visualization on the page). This is a new kind of visualization in which the total for each year is scaled to $100 %$, and the...
-
Staley Toy Co. makes toy flutes. Two manufacturing overhead application bases are used; some overhead is applied on the basis of machine hours at a rate of $7.50 per machine hour, and the balance of...
-
Y5 American Factory: Netflix Do you see any legal concerns with Fuyao Glass's actions?
-
When buying or leasing a new car, one of the factors that customers consider is the type of fuel it uses. Some people prefer vehicles that use diesel fuel, while others favor vehicles that use...
-
Find the coordinates of the stationary points of the curve and determine their nature. y 1+54x x
-
Find the range of values of x for which y is decreasing. a) y = x x + 2 b) y = 9 2x x c) y = 3x + 6x + 5 d) y = x 5x + 3x 4 e) y = 2x 54x 1 f) y = x 6x 15x + 7
-
Host Hotels, a small chain of business hotels in the Mid- Atlantic region, is interested in gaining access to the boutique lodging market by acquiring a hotel group in that sector. Host Hotels...
-
Sarah is considering two investment proposals. Proposal A is to purchase a new computer. Proposal B is to purchase a new printer. She will not buy the printer unless she buys the computer. The...
-
Define the term coefficient of fluctuation of energy and coefficient of fluctuation of speed in a flywheel.
-
Two blocks are held together with a compressed spring between them on the surface of a slippery table. One block has three times the inertia of the other. When the blocks are released, the spring...
-
An involution is a transformation \(f\) that is self-inverse, i.e. \(f(f(x))=x\). Show that the verbs to substitute and to replace are both transformations, and that the relation between them is an...
-
Freelin Conn filed a voluntary petition of the Bankruptcy Code on September 30, 2016. Conn listed BancOhio National Bank as having a claim incurred in October of 2015 in the amount of \($4,000\)...
-
Consider the last row of Table 17.1. What is the solution for S and S when Ks = kr = 0? (This answer does not require calculation.) In the following five problems, assume that the spot price of gold...
-
Annual dividends of ATTA Corp grew from $0.96 in 2005 to $1.76 in 2017. What was the annual growth rate?
-
It seems reasonable to assume that more educated people will wait longer before having children. To determine whether this is reasonable draw a scatter diagram of years of education (EDUC) and the...
-
Do more educated people watch less television? Draw a scatter diagram of EDUC and TVHOURS. Describe what you have discovered.
-
Do older people watch more television? Draw a scatter diagram of AGE and TVHOURS. What conclusion can you draw for the chart?
-
Steven Company has fixed costs of $259,856. The unit selling price, variable cost per unit, and contribution margin per unit for the company's two products are as follows: Product Selling Price per...
-
Data for the cost of direct materials for the month ended March 31, 2022, are as follows: Raw materials inventory, March 1, 2022 $88,160 Raw materials inventory, March 31, 2022 81,200 During March,...
-
The Elberta Fruit Farm of Ontario is considering buying a cherry-picking machine to replace the part-time workers it usually hires to harvest its annual cherry crop. The machine shakes the cherry...
Study smarter with the SolutionInn App