a) Using a scale of 1 cm to 1 unit, plot the graph of y = x

Question:

a) Using a scale of 1 cm to 1 unit, plot the graph of y = x² + x − 2 for −3 ≤ x ≤ 3.

b) Estimate the gradient of the tangent to the curve at the point (2, 4).

c) Estimate the gradient of the tangent to the curve at the
point (−1, −2).

y = x² + x − 2

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Complete Pure Mathematics 1 For Cambridge International AS & A Level

ISBN: 9780198427438

2nd Edition

Authors: Jean Linsky, Brian Western, James Nicholson

See More Books

Question Posted: Apr 14, 2023 11:01 AM

See More Questions

Consider a secondary memory system with 256 numbered tracks. It is assumed that the read /write head is now placed vertically on Track 55. Requests arrive for access to the following tracks: 50, 90,...
KYC's stock price can go up by 15 percent every year, or down by 10 percent. Both outcomes are equally likely. The risk free rate is 5 percent, and the current stock price of KYC is 100. (a) Price a...
At each point A and B draw an approximate tangent line and then use it to complete parts (a) and (b). (a) Is f '(x) greater at point A or at point B? Explain. (b) Estimate f '(x) at point B. 1. 2. 10...
How are writable CDs implemented?
Zhao Co. has fixed costs of $354,000. Its single product sells for $175 per unit, and variable costs are $116 per unit. The company expects sales of 10,000 units. Prepare a contribution margin income...
One of the products manufactured by a company is Product X, which sells for 40 per unit and has a material cost of 10 per unit and a direct labour cost of 7 per unit. The total direct labour budget...
An experiment is conducted with $k=5$ treatments, one covariate $x$, and $n=6$. Calculations result in the sums of squares error $S S E_{x}=14.4, S S E_{t r}=4.69$, and \(S S E_{t r,...
Susquehanna Medical Center operates a general hospital in northeastern Pennsylvania. The medical center also rents space and beds to separately owned entities rendering specialized services, such as...
A hedge fund with net asset value of $101 per share currently has a high water mark of $108. Suppose it is January 1, the standard deviation of the fund's annual returns is 35%, and the risk-free...
For this activity, you'll research potential libraries or modules to use that are compatible with PythonAnywhere to help you script using the data required. Step 1: Find Compatible Libraries A client...
Find the equation of the tangent to the curve a) y = x 6x + 3 at the point (2, 1) b) y = 2x 4 + 9x + x when x = 2 c) y = (x 7)(x + 4) at the point when x = 1 d) y= x 4 3x/x at the point (1, 2) e)...
By considering the gradient of the chord joining (x, f(x)) and ((x + h), f(x + h)) for the following functions f(x), deduce what f(x) will be. f(x) = 2x
Two individuals, Sam and Barb, derive utility from the hours of leisure (L) they consume and from the amount of goods (G) they consume. In order to maximize utility, they need to allocate the 24...
1. Define money. 2. Describe the work or economic functions that money performs. 3. Define barter and explain why it is economically inefficient. 4. Explain why some forms of commodity money are...
How to understand reinvestment risk? Why the lower the interest rates , the greater the re investment risk?
The displacement function for the simply supported beam of Figure TTX EI y(x, t) = csin T PALA where c = 0.003 m and t is in seconds. Determine the kinetic energy of the beam. 3.1 m y(x, t) E=200 x...
What have existing papers found regarding the existence of performance persistence in the hedge fund sector? How do we explain these findings in light of the Berk and Green model?
The drivers for an airport limousine service have taken a pay cut of 15% to $42,000 a year. What was their former salary?
What amount three years ago is equivalent to $4800 on a date 1 years from now if money earns 8% compounded semiannually during the intervening time?
(a) Prove that form an orthonormal basis for R3 for the usual dot product. (b) Find the coordinates of v = (1, 1, 1)T relative to this basis. (c) Verify formula (5.5) in this particular case. 48-65...
Assess whether there are significant carry-over effects for the endpoint in Problem 13.49?
Assess whether there are any significant treatment or carry-over effects of SBP or DBP in study 1? Three separate two-period cross-over studies were performed, based on different groups of subjects....
1. Suppose we are planning a new study similar in design to study 1. How many participants do we need to study to detect an underlying 3-mm Hg treatment effect for SBP with 80% power assuming there...
Calculate the volume of the following composite geometric body. Express your answer in liters. 3 cm 6 cm 9 cm 6 cm
state your model by clearly defining your decision variables (with appropriate units), the objective function, and all the relevant (including the non-negativity and binary if applicable)...
Find a largest independent set in the graph shown below. (Proof is not required.) 1

a) Using a scale of 1 cm to 1 unit, plot the graph of y = x

Question:

Step by Step Answer:

a To plot the graph of y x x 2 for 3 x 3 we can create a table of values ...View the full answer

Complete Pure Mathematics 1 For Cambridge International AS & A Level

Students also viewed these Mathematics questions