Given that y 6x 2x, show that dy dx 4 dy dx 20 4(4 13x 18x) ...

We begin by finding the first derivative of y with respect to x dydx ddx 6x 2x 18x 4x Ne ...

Given that y = 6x 2x, show that dy/dx 4 dy/dx + 20 = 4(4

Question:

Given that y = 6x³ − 2x², show that d²y/dx² − 4 dy/dx + 20 = 4(4 + 13x − 18x²).

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

Good friends Nick, Ricardo and Lauren start a private accounting firm together which they manage and own jointly. Their company may be set up as O A direct investment A partnership A sole...
The object formed by freezing the region between the curves and the x = 0 line around the y = 1 line; a-) Draw the integration region b-) Find the area. 3. (40p.) y = x+x, y = x 1
In the following figure Ci = 1.95 pF, C2 = 4.85 F and Vab = +46.0 V. %3D a Vab, = v C; Q2 b. (a) Calculate the charge on each capacitor. Q1 Q2 (b) Calculate the potential difference across each...
Explain why, in your opinion, allowing a physician to prescribe lethal medication under aid-in-dying laws is or is not euthanasia.
Pro-Weave manufactures stadium blankets by passing the products through a weaving department and a sewing department. The following information is available regarding its June inventories: The...
Firm Q is about to engage in a transaction with the following cash flows over a three-year period. If the firm's marginal tax rate over the three-year period is 30 percent and its discount rate is 6...
For each of the following, calculate the standard error of the difference $\left(s \mathrm{X}^{-} 1-\mathrm{X}^{-} ight.$ $2)$. a. N = 35, s = 1.50, N = 35, $2 = 3.25 b. N = 4, s = 4.30, N = 4,...
Infoworks is a large computer discount store that sells computers and ancillary equipment and software in the town where State University is located. Infoworks has collected historical data on...
Alcoa's offer to Reynolds Metals consisted of $4.3 billion in cash plus the assumption of $1.5 billion in Reynolds' outstanding debt. Alcoa's offer letter, which it made public, from its chief...
Exercise 6.1 Configuring Memory on Paper Objective: a computer is not performing as well as it used to. Windows 10 tool would the technician get the user to open to quickly tell how much RAM is...
Find the derivative in each case. a) y = 4x b) y = 2/3x c) y = 5/7 x 21 d) y = 16x e) f) y = 4/x g) y = 5x h) y = 25x 1/5 i) y = (5x 9 2x) j) k) y = x 2 3x 3 l) y = x y 9 X
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) = x n
What four criteria has the SEC issued as further guidance for revenue recognition?
Two investments offer a series of cash payments over the next four years, as shown in the following table. a. What is the total amount of money paid by each investment over the four years? b. From a...
I What is the equivalent resistance of each group of resistors shown in Figure P23.10? (a) wwwwww 2.00 3.00 6.0 (b) ww FIGURE P23.10 3.00 3.0 2 ww 3.0
Let $X \stackrel{\text { law }}{=} \mathcal{N}\left(m, \sigma^{2} ight)$ and $\lambda>0$. Prove that \[\mathbb{E}\left(e^{-\lambda X^{2}} ight)=\frac{1}{\sqrt{1+2 \lambda \sigma^{2}}} \exp...
A thin disk of radius $R$ carries a uniformly distributed charge. The surface charge density on the disk is $\sigma$. What is the electrostatic potential due to the disk at point $\mathrm{P}$...
A questionnaire survey based on the responses of 272 practising UK management accountants who were members of the Chartered Institute of Management Accountants (CIMA) revealed that approximately 81...
Use Itos Lemma to evaluate d[ln(S)]. For the following four problems, use Itos Lemma to determine the process followed by the specified equation, assuming that S(t) follows (a) Arithmetic Brownian...
What recommendations would you make to Big Four firms to help them (1) avoid confrontations with governmental officials in an authoritarian society and (2) deal effectively with such confrontations...
How much power did the study have for detecting an IRR for breast cancer of 1.5, comparing current OC users vs. never OC users among 40- to 44-year-old women if (a) The true incidence rate of breast...
What is the expected number of events that need to be realized in each group to achieve 80% power to detect an IRR for breast cancer of 1.5 for current OC users vs. never OC users under the same...
Compare survival curves of the two groups, using hypothesis-testing methods, and report a p-value?
You purchased 20 shares of stock exactly one year ago from the London Stock Exchange when the exchange rate was 0.9068/S. The purchase cost was 263 per share at that time. Noting that the stock price...
Revenues generated by a new fad product are forecast as follows: Year 1 2 Revenues $60,000 45,000 IT 3 4 Thereafter 30,000 10,000 Expenses are expected to be 40% of revenues, and working capital...
(Number Representation for Computer System) (2 points each). Show your work. 15. j=n j =1 a) What does the binary number 10011001 represent in decimal system b) convert octal number 243 into decimal...

Given that y = 6x 2x, show that dy/dx 4 dy/dx + 20 = 4(4

Question:

Step by Step Answer:

We begin by finding the first derivative of y with respect to x dydx ddx 6x 2x 18x 4x Ne...View the full answer

Complete Pure Mathematics 1 For Cambridge International AS & A Level

Students also viewed these Mathematics questions