Let gd(y) = tan1(sinh y) be the so-called gudermannian, which arises in cartography. In a map of

Question:

Let gd(y) = tan−1(sinh y) be the so-called gudermannian, which arises in cartography. In a map of the earth constructed by Mercator projection, points located y radial units from the equator correspond to points on the globe of latitude gd(y).

Prove that d dy -gd(y) = sechy.

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

Step by Step Answer:

Related Book For book-img-for-question

Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

See More Books

Question Posted: Dec 01, 2023 02:49 AM

See More Questions

Before Gerardus Mercator designed his map of the world in 1569, sailors who traveled in a fixed compass direction could follow a straight line on a map only over short distances. Over long distances,...
The cartesian plane represents a two-dimensional space (in 2 dimensions), formed by two perpendicular lines, one horizontal and the other vertical, that intersect at a point. The horizontal line is...
The Crazy Eddie fraud may appear smaller and gentler than the massive billion-dollar frauds exposed in recent times, such as Bernie Madoffs Ponzi scheme, frauds in the subprime mortgage market, the...
One major concern about the future is that water scarcity will grow, particularly in arid regions where precipitation levels may be reduced by climate change. Will our institutions provide for an...
You own a call option on Intuit stock with a strike price of $40. The option will expire in exactly three months time. a. If the stock is trading at $55 in three months, what will be the payoff of...
Prove the Multinomial Theorem: If n is a positive integer, then Where is a multinomial coefficient. xi 2+Xm) i nm
Calling London. A 10-minute telephone call to London via AT&T cost $12 in 1976 and $14 in December 2007 using an occasional calling plan. Compare the real costs of these calls. By what percentage did...
Eagle Electronics must expand by building a second facility. The search has been narrowed down to locating the new facility in one of four cities: Atlanta (A), Baltimore (B), Chicago (C), or Dallas...
The Blue Stone Value Fund is an open-end fund whose NAV is $48.29. The fund charges a 4.5% load. If Virginia invests $4,300 in this fund, how many shares will she own? Group of answer choices 84.545...
Prove in two ways that the numbers m(a) satisfy m(ab) = m(a) + m(b) (a) First method: Use the limit definition of m(b) and (b) Second method: Apply the Product Rule to a x b x = (ab) x . (ab)" - 1 =...
Let Prove that F(x) and cosh 1 x differ by a constant by showing that they have the same derivative. Then prove they are equal by evaluating both at x = 1. 25 F(x)=xx-1-2 2 - 1 dt
Your draft of Lisas tutors reply is unlikely to be worded the same way as the one below. However, it should contain the same key points: From: tutors name To: Sent: todays date 7:06 Subject: Re:...
The State Public Works Division consists of the Administrator, the State Public Works Board, the Public Works Section, and the Buildings and Grounds Section. The State Public Works Board consists of...
Everyone knows that health care costs are high. It is also known that people tend to spend less on health care if they spend their own money, which motivated the creation of flexible spending...
Write a essay that critically evaluates issues in financing health care by addressing the provided prompts. Educate operational leadership on why it is important to the overall bottom line of the...
What are the types of conflicts that individuals may have at work? Which type have you experienced the most? 2. What are some primary causes of conflict at work? 3. Explain how miscommunication might...
What program do you work with that has a budget? Navy JROTC Who helps to determine how the funds are allocated and spent? US Navy and St. Elizabeth ISD How did you find out the budget amount? Does...
Each of the following items must be considered in preparing a statement of cash flows for Blackwell Inc. for the year ended December 31, 2017. State where each item is to be shown in the statement,...
A business had revenues of $280,000 and operating expenses of $315,000. Did the business (a) Incur a net loss (b) Realize net income?
Given the answer to Exercise 2.3, what effect does a U.S. quota on steel of Q > 0 have on the equilibrium in the U.S. steel market? (The answer depends on whether the quota binds: is low enough to...
Suppose the demand function for carpenters is Q = 100 - w, and the supply curve is Q = 10 + 2w - T, where Q is the number of carpenters, w is the wage, and T is the test score required to pass the...
Solved Problem 2.4 claims that a new war in the Persian Gulf could shift the world oil supply curve to the left by 3 million barrels a day or more, causing the world price of oil to soar regardless...
please help Problem 13-7 (Algo) Prepare a Statement of Cash Flows [LO13-1, LO13-2] [The following information applies to the questions displayed below.] Comparative financial statements for Weaver...
A firm has 1000 shareholders, each of whom own $59 in shares. The firm uses $28000 to repurchase shares. What percentage of the firm did each of the remaining shareholders own before the repurchase,...
Vancouver Bank agrees to lend $ 180,000 to Surrey Corp. on November 1, 2020 and the company signs a six-month, 6% note maturing on May 1, 2021. Surrey Corp. follows IFRS and has a December 31 fiscal...

Let gd(y) = tan1(sinh y) be the so-called gudermannian, which arises in cartography. In a map of

Question:

Prove that d dy -gd(y) = sechy.

Step by Step Answer:

Let gdv tansinhy Then d ...View the full answer

Calculus

Students also viewed these Mathematics questions