The line y mx c is a tangent to the curve y x 2 4x 4 Prove that m 2 8m 4c 0 ...

To prove that the line y mx c is a tangent to the curve y x2 4x 4 we ...

The line y = mx + c is a tangent to the curve y = x 2

Question:

The line y = mx + c is a tangent to the curve y = x² − 4x + 4. Prove that m² + 8m + 4c = 0.

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

Step by Step Answer:

Related Book For book-img-for-question

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

ISBN: 9781108407144

1st Edition

Authors: Sue Pemberton, Julian Gilbey

See More Books

Question Posted: Mar 09, 2023 05:44 AM

See More Questions

Without using a calculator, complete Table 6 with values of the function f(x) = 16x. Table 6 Values of the Function f(x)16 flx) flx) 4 4 4 4 0
The line y = mx + c is a tangent to the curve ax 2 + by 2 = c, where a, b, c and m are constants. Prove that m = abc-a b
The line y = mx + 6 is a tangent to the curve y = x 2 - 4x + 7. Find the possible values of m.
(A) If the percent yield for the formation of urea in Example 4-13 were 87.5%, what mass of CO 2 , together with an excess of NH 3 would have to be used to obtain 50.0 g CO(NH 2 ) 2 ? (B) Calculate...
The Scottish Executive, Analytical Services Division Transport Statistics, compiles data on motorcycle casualties. During one year, monthly casualties from motorcycle accidents in Scotland for...
What are the three key factors in employee involvement?
Heights of men and women. The heights of young women are approximately Normal with mean 65 inches and standard deviation 2.5 inches. The heights of men in the same age group have mean 70 inches and...
GASB Statement No. 34 requires reporting using both the financial resources measurement focus and the economic resources measurement focus. How do these two focuses differ, and what impact do they...
Wilturer Company incurs $87,000 of labor related directly to the product in the Assembly Department $36,000 of labor related to the Assembly Department as a whole, and $23.000 of labor for services...
Alexis Martin has just graduated from college and needs to buy a car to commute to work. She estimates that she can afford to pay about $450 per month for a loan or lease and has about $2,000 in...
i. Express 2x 2 4x + 1 in the form a(x + b) 2 + c and hence state the coordinates of the minimum point, A, on the curve y = 2x 2 4x + 1. The line x y + 4 = 0 intersects the curve y = 2x 2 4x + 1...
The straight line y = x + 1 intersects the curve x 2 y = 5 at the points A and B. Given that A lies below the x-axis and the point P lies on AB such that AP : PB = 4 : 1, find the coordinates of P.
What inventory accounts are shown on the balance sheet of a manufacturer and what information is contained in each of these accounts?
A company which manufactures microwaves advertises that 90% of their microwaves are flawless, requiring no adjustments. Their quality control department tests this percentage on a regular basis. On...
A new retail store is being planned for a site that contains 40 ft of soft clay (c 0.075 ft2/day, y = 100 pcf). The clay layer is overlain by 15 ft of sand (y = 112 pcf) and is underlain by dense...
Perez Bags (PB) is a designer of high-quality backpacks and purses. Each design is made in small batches. Each spring, PB comes out with new designs for the backpack and for the purse. The company...
Find a recent (within the last 12 months) article or economic blog related to price fixing, provide an executive summary of the information. Include an APA reference and/or link. How does the fact...
A rectangular block of a material with a modulus of rigidity G=90 ksi is bonded to two rigid horizontal plates. The lower plate is fixed, while the upper plate is subjected to a horizontal force P....
To understand how the distance vector algorithm in Table 20.1 works, let us apply it to a four-node internet as shown in Figure 20.32 . Table 20.1 Assume that all nodes are initialized first. Also...
Apply Jacobis method to the given system. Take the zero vector as the initial approximation and work with four-significant-digit accuracy until two successive iterates agree within 0.001 in each...
The variable Q ~N(, 2 ). Given that P(Q < 1.288) = 0.281 and P(Q < 6.472) = 0.591, find the value of and of , and calculate the P(4 Q < 5).
V and W are continuous random variables. V ~N(9, 16) and W ~N(6, 2 ). Find the value of , given that P(W < 8) = 2 P(V < 8).
A company manufactures rubber and plastic washers in the ratio 4:1. The washers are randomly packed into boxes of 25. a. Find the probability that a randomly selected box contains: i. Exactly 21...
you are analyzing the cost of debt for a firm. Do you know that the firms 14 year maturity, 7.8 Percent coupon bonds are selling at a price of $834. The Barnes pay interest semi annually. If these...
***Please answer the following using excel and showcasing the formulas/calculations used*** thank you so much Financial information on AAA Ltd. is shown below. AAA Ltd. Income Statement For the Year...
2. In an account Anh Paglinawan currently has $216,670.00. At a rate of 8.00% how long will it take for them to have $298,390.00 assuming semi-annually compounding? (Hint: compute the exact years, do...

The line y = mx + c is a tangent to the curve y = x 2

Question:

Step by Step Answer:

To prove that the line y mx c is a tangent to the curve y x2 4x 4 we ...View the full answer

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

Students also viewed these Mathematics questions