The diagram shows part of the curve The curve intersects the y-axis at A(0, 4) . The
Question:
The diagram shows part of the curve
The curve intersects the y-axis at A(0, 4) . The normal to the curve at A intersects the line x = 4 at the point B.
i. Find the coordinates of B.
ii. Show, with all necessary working, that the areas of the regions P and Q are equal.
Transcribed Image Text:
y = 8 √3x +4
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (5 reviews)
i To find the coordinates of point B we need to first find the equation of the normal to the curve a...View the full answer
Answered By
Anik Kumar Bosu
I am expert in Maths, Physics, Chemistry and Biology. I also teach student from 3 years. Students becomes satisfied by my teaching. So, do not worry.
0.00
0 Reviews
10+ Question Solved
Related Book For
Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook
ISBN: 9781108407144
1st Edition
Authors: Sue Pemberton, Julian Gilbey
Question Posted:
Students also viewed these Mathematics questions
-
The diagram shows part of the curve The point P(4, 3) lies on the curve. a. Find the volume obtained when the shaded region is rotated through 360 about the y-axis. b. Find the volume obtained when...
-
The diagram shows part of the curve The shaded region is bounded by the curve, the y-axis, and the lines y = 1 and y = 3. Find the volume, in terms of , when this shaded region is rotated through 360...
-
The diagram shows part of the curve The shaded area is rotated through 360 about the x-axis between x = 0 and x = p. Show that as p , the volume approaches the value 2. y = 2 2x+1
-
The following list shows the top six pharmaceutical companies in the United States and their sales figures ($ millions) for a recent year. Use this information to construct a pie chart and a bar...
-
Multiple choice questions. Consider the following narrative as you respond to these questions: When staff at IGV Corporation need to travel on company business, they first submit a travel request to...
-
A network forensic analyst is responsible for identifying worms, viruses, and infected nodes in the computer network. A new methodology for finding patterns in data that signify infections was...
-
Water flows vertically upward in a circular cross-sectional pipe. At section (1), the velocity profile over the cross-sectional area is uniform. At section (2), the velocity profile is \[...
-
On January 1, 2010, the Baznik Company adopted a defined benefit pension plan. At that time, the company awarded retroactive benefits to certain employees. These retroactive benefits resulted in a...
-
This problem is similar, except that your record will contain: two shorts (say a and b); three longs (m, n, and p); an array (2) of three ints; space for a string of up to 10 characters (s),...
-
On April 1, Julie Chen established Miaolis Travel Agency. The following transactions were completed during the month. 1. Invested NT$15,000 cash to start the agency. 2. Paid NT$600 cash for April...
-
The point P(3, 5) lies on the curve i. Find the x-coordinate of the point where the normal to the curve at P intersects the x-axis. ii. Find the x-coordinate of each of the stationary points on the...
-
A curve is such that dy/dx = k + x where k is a constant. a. Given that the tangents to the curve at the points where x = 5 and x = 7 are perpendicular, find the value of k. b. Given also that the...
-
A baseball player has a batting average of 0.328. Let X be the number of hits the player gets during 20 times at bat. Use the central limit theorem to find the approximate probability P(X k) for k =...
-
AHP Company generated $200 million sales last year, incurred $110 million in cost of goods sold and incurred $50 million in SG&A expenses including depreciation expense of $15 million. During the...
-
It is a criminal offence to issue a dud cheque in Ghana. 1. On the basis of your knowledge in finance and banking, describe briefly the main reason for the criminalisation of the act of issuing dud...
-
At the beginning of July, Fick 3D Corporation has a balance in inventory of $2,950 of 3D printing accessories. The following transactions occur during the month of July. July 3 July 4 July 9 Purchase...
-
The future cash flows of two mutually exclusive capital projects follow: Project A: Uneven Flow Year0123 Cash Flow(-$12,000)$6,500$10,500$6,000 Project B: Annuity Flow Year0123456**Annuity** Cash...
-
Greta died on September 1 0 , 2 0 2 2 . She has never carried on a business. By what date must her final income tax return be filed? Question 5 options: April 3 0 , 2 0 2 3 . April 3 0 , 2 0 2 4 ....
-
The Committee of Sponsoring Organizations of the Treadway Commission (COSO) issued a thought paper titled, "Enhancing Board Oversight: Avoiding Judgment Traps and Biases." Visit COSO's website...
-
Answer the following two independent questions. a. MM Corporation is considering several proposed investments for the coming budget year. MM produces electrical apparatus for industrial complexes....
-
Are the assumptions in Problem 8.49 likely to hold for these samples? Why or why not? Genetics A study was conducted of genetic and environmental influences on cholesterol levels. The data set used...
-
Of the 15 new MI cases in the preceding study, 5 died within 24 hours. Test whether the 24-hour case fatality rate changed from 2000 to 2010. Suppose that 25% of patients with MI in 2000 died within...
-
Suppose we want to use the procedure in Problem 8.49 using a two-sided test. State the hypotheses being tested, and implement the method. Report a p-value? Genetics A study was conducted of genetic...
-
Let X be a continuous random variable with PDF, f(x) = Skx ;0 < x < 4 (a) Find k. 0 ; otherwise (b) Find the expected value of X, E(X). (c) Find variance of X, Var(X). (d) Find Cumulative...
-
In the "big history" view, if we were to put all of past time since the beginning of the universe on a 12-month calendar, then recorded human history would begin in the last second of the evening on...
-
Let Y be a continuous random variable with probability density function: f(y) = ky k(2 y) 0 y 1 1 y 2 0 otherwise a. Find the value for k so that f(y) is a probability density function (5 points) b....
Study smarter with the SolutionInn App