Given that p and q are positive and that 4(log 10 P) 2 2(log 10 q) 2 9, find the greatest possible value of p ...

We start by manipulating the equation given 4log10 P2 2log10 q2 9 Dividing both sides by ...

Given that p and q are positive and that 4(log 10 P) 2 + 2(log 10 q)

Question:

Given that p and q are positive and that 4(log₁₀ P)² + 2(log¹⁰q)² = 9, find the greatest possible value of p.

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 & A Level Mathematics Pure Mathematics 2 & 3 Coursebook

ISBN: 9781108407199

1st Edition

Authors: Sue Pemberton, Julianne Hughes, Julian Gilbey

See More Books

Question Posted: Mar 09, 2023 06:50 AM

Find the greatest possible angle through which a deuteron is scattered as a result of elastic collision with an initially stationary proton.
The vectors P and Q are two adjacent sides of a parallelogram. Determine the area of the parallelogram when (a) P = (8 in.)i + (2 in)j (1 in.)k and Q = (3 in.)i + (4 in)j + (2 in)k, (b) P = (3...
A relative maximum is the greatest possible value of a function. Determine whether each statement is true or false, and explain why.
Information sent electronically over the Internet affords little privacy. One of the reasons that cryptography is included in this text is because its importance is growing due to the increasing need...
From the ESPN Web site, we obtained the age of the oldest player on each of the major league baseball teams during one season. Here are the data. a. Construct a dotplot for these data. b. Use your...
Euler's equation in the differential form for motion of liquids is given by: (a) $\frac{d p}{ho}-g d z+v d v=0$ (b) $\frac{d p}{ho}+g d z+v d v=0$ (c) $\frac{d p}{ho}-g d z-v d v=0$ (d)...
Use It's lemma to express $d F$ given that $F(x)=x^{1 / 2}$, where the stochastic process $\left\{S_{t}, t \geq 0 ight\}$ satisfies the stochastic differential equation \[d...
Of employed U.S. adults age 25 or older, 90.4% have completed high school, while 34.0% have completed college. For H = completed high school, C = completed college, and assuming that one must...
Robert is planning to open his own residential building design business. What nontax factors should Robert consider as he chooses his business entity? Discuss and explain whether the nontax factors...
A summary of cash flows for Paradise Travel Service for the year ended May 31, 20Y6, follows: Cash receipts: Cash received from customers...................................$880,000 Cash received from...
Solve each equation for 180 < x < 180. a. cosec 2 x = 4 b. sec 2 x = 9 c. 9 cot 2 1/2 x = 4 d. sec x = cos x e. cosec x = sec x f. 2 tan x = 3 cosec x
Given that the function f is defined as f : x -> 10 x 3 for x , find an expression for f 1 (x).
How can Big Data support HR decisions?
In the past five years, there have been significant innovations in technology such as smartphones and tablets. Technology companies rely on intellectual property (IP) rights, such as patents,...
Abbott Industries is a well-known supplier of pharmaceuticals worldwide. Founded by Dr. Wallace Abbott, the company was incorporated in 1900 after he had been developing and making pharmaceuticals...
George Oppenheimer, an agent for Wellington Farms of Massachusetts, Inc., had contacted Mark Kiriakou from the Capital Area Food Bank regarding an order for frozen turkey meat. In an exchange of...
The Nielsen family formed their corporation, N. Robert Nielsen, Inc., to conduct farming operations. Morre, Grider & Co. is a certified public accounting firm that has provided accounting, tax, and...
Plaintiff purchased stain and paint from defendant that, upon application, presented significant issues: discoloration and cracking. These issues became apparent 30 days after receipt of the...
Arrange the following alkaline-earth-metal iodates in order of increasing solubility in water; explain your reasoning: Ba(IO3)2, Ca(IO3)2, Sr(IO3)2, Mg(IO3)2. IO3 is a large anion.
$10,000 was borrowed at 3.5% on July 17. The borrower repaid $5000 on August 12, and $2000 on September 18. What final payment is required on November 12 to fully repay the loan?
A university investigated how much space on its computers hard drives is used for data storage. The results are shown below. It is given that 40 hard drives use less than 20GB for data storage. a....
Eighty people downloaded a particular application and recorded the time taken for the download to complete. The times are given in the following table. a. Find the number of downloads that completed...
A railway line monitored 15% of its August train journeys to find their departure delay times. The results are shown below. It is given that 24 of these journeys were delayed by less than 2 minutes....
Amir has plans to gather several colleagues to establish a business institution. However, not all of his colleagues have capital in the form of money. Meanwhile, Anto is an activist in a village who...
respond to your classmates' posts on specialized trusts. Make sure you address a different type of trust then the one you discussed in your second post. If your second and third posts address the...
A preemptive right is the right of existing shareholders to maintain their proportion of ownership of a company . They do so by acquiring their proportional share of any additional stock issuances by...

Given that p and q are positive and that 4(log 10 P) 2 + 2(log 10 q)

Question:

Step by Step Answer:

We start by manipulating the equation given 4log10 P2 2log10 q2 9 Dividing both sides by ...View the full answer

Cambridge International AS & A Level Mathematics Pure Mathematics 2 & 3 Coursebook

Students also viewed these Mathematics questions