i. Find ii. Without using a calculator, find the exact value of giving your answer in the

Question:

i. Find

ii. Without using a calculator, find the exact value ofgiving your answer in the form ln(ae^b ), where a and b are integers.

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 18, 2023 07:06 AM

See More Questions

Given that cos x = 4/5 and that 0 < x < 90, without using a calculator find the exact value of cos(x 60).
i. Show that d/dx(e 4x /4 xe 4x ) = pxe 4x , where p is an integer to be found. ii. Hence find the exact value of 0 ln2 xe 4x dx, giving your answer in the form a ln 2 + b/c, where a, b and c are...
Find the exact value of the expression. tan 75 Rewrite the expression using a sum or difference formula. Choose the correct answer below. O A. tan 75 = tan (120-45) = tan 120-tan 45 1+ tan 120 tan 45...
Develop, debug, and document a program to determine the roots of a quadratic equation, ax2 + bx + c, in either a high-level language or a macro language of your choice. Use a subroutine procedure to...
Refer to the situation described in Exercise 77. Suppose the store has recently adopted a standard policy on shipment quality: If the overall shipment contains no more than 5% mislabeled hats, it...
In Exercises, find all values x = a where the function is discontinuous. For each value of x, give the limit of the function as x approaches a. Be sure to note when the limit doesnt exist. f(x) -2x...
(a) Verify that for both collisions in Figure 8.2 the momentum of the two-cart system remains constant. (b) Verify that both collisions are elastic. Figure 8.2 (a) Soft and (b) hard collisions...
1. What are the factors driving the diversification of Tune Group? 2. What is the Tune Group portfolio, what contribution does each SBU make and, therefore, what is the dominant logic for this Group?...
8. Money and Foreign exchange markets in Frankfurt and NY are very efficient and reflect the following information Spot Ex rate 1-yr TB rate a) $0.9000/Euro London 6.5% Unknown NY $0.9000/Euro 3.20%...
A jet is traveling directly between Calgary, Alberta and Portland, Oregon, which are 550 mi apart. At any given time, x represents the jets distance (in mi) from Calgary and y represents its distance...
i. Using the expansion of cos(3x x) and cos(3x + x), prove that ii. Hence show that -~ (cos 2x - cos 4x) = sin 3x sin.x.
Find the limit (if it exists). If the limit does not exist, explain why. x lim (x, y) (0,0) (x + 1)(y + 1)
Small businesses typically do not observe the demand curves for the products they sell. For example, a local bakery could not draw the demand curve for its loaves of sourdough bread. Without this...
Economists worry that salaried employees who work more or less independently do not have a strong incentive to work hard at their jobs. Their level of effort is not easily observed by their employer,...
Identify which of the three basic sources of income is represented by each of the following: a. George receives free accommodation from his employer while he is on a deputation. b. Andrew earns...
Income inequality is evidence that our economic system is working well, not poorly. Do you agree or disagree? Defend your answer.
Different countries have different ways to determine the poverty line. The European Union (EU) and many other countries use 60 percent of median household income as the poverty threshold. That is, if...
Calculate the result accurate to the nearest cent. For r = 0.095, I=$23.21, t = 283 /365 TIt
Which task is performed by a book-keeper? A. Analysing the trading results B. Entering transactions in the ledger C. Preparing year-end financial statements D. Providing information for...
The coordinates of three points are A(4, 1), B(8, 9) and C(k, 7). M is the midpoint of AB and MC is perpendicular to AB. Find the value of k.
The point A has coordinates (1, 6) and the point B has coordinates (7, 2). i. Find the equation of the perpendicular bisector of AB, giving your answer in the form y = mx + c. ii. A point C on the...
The diagram shows a rhombus ABCD. M is the midpoint of BD. a. Find the coordinates of M. b. Find the value of a, the value of b and the value of c. c. Find the perimeter of the rhombus. d. Find the...
9. Let F be a closed subset in R, and 8(x) the distance from a to F, that is, : 8(x) = d(x, F) = inf{|xy| y F}. Clearly, 8(x+y) [Hint: Assume that x is a point of density of F.]
Discuss the key features of the following associated with the financial service industry: Financial products and services of the organisation Financial agency agreements Financial industry codes of...
You are building an apartment complex with 80 three-bedroom units near the downtown office district. The designers estimate that there will be on average 3.5 occupants in each apartment. A. Calculate...

i. Find ii. Without using a calculator, find the exact value of giving your answer in the

Question:

1+ cos4 2x cos² 2x dx.

Step by Step Answer:

1 1cos 4 2x dx 1cos 2 2x dx cos 4 2xcos 2 2xdx cos 2 2x ...View the full answer

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

Students also viewed these Mathematics questions