Question: (a) Why is u = cos(x) and dux de a poor choice for evaluating z cos(r) dr. 3 marks (b) Consider the following integral.

(a) Why is u = cos(x) and dux de a poor choice for evaluating z cos(r) dr. 3 marks (b) Consider the following integral. 12 cost 12 cos(r) In(sin(r)) dr Let u = sin(z). i) Express the above integral in terms of w. ii) Hence or otherwise evaluate the given integral. 2 marks 5 marks

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

The outer and inner wheels are spun. Assuming that the wheels are independent and the outcomes are equally likely, determine the probability of obtaining. Even numbers on both wheels. 3 2 4 3 4 5

l o g x 3 - l o g 2 = l o g 2 x 2

Q1. You have identified a market opportunity for home media players that would cater for older members of the population. Many older people have difficulty in understanding the operating principles...

Problems 15,28,32 please 2.7 Change of Variables in Multiple Integrals 189 As another example, suppose the region is bounded by the lines y = x (or y/x = 1) and y = 2x (or y/x -2) and by the...

sjeccd.instructure.com 15 Group Quiz C Find The Average Value Of The Following Regions F(.. | Chegg.com Question 11 0.5 pt Find the area of the region specified in polar coordinates. the region...

Question 14 Evaluate the cylindrical coordinate integral. 7/2 12 1/r (cos 0) r dz dr de 6 1/12 O but + In 2 O 12nt + In 2 O 6 - In 2 O 12 - In 2Question 15 Evaluate the integral. 5 7 5r rde dz dr 3 O...

Section 8.3 Reading Assignment: Trigonometric Integrals Instructions. Read through this assignment and complete the three exercises below by reading the appropriate passages of the textbook. This...

Section 8.3 Reading Assignment: Trigonometric Integrals Answer Only Exercise 1, 2, and 3 by using a screenshot provided Calculus Pearson textbook. Make sure you read these three questions very...

MA 261 PRACTICE PROBLEMS 1. If the line ` has symmetric equations y x1 z+2 2 = 3 = 7 , nd a vector equation for the line `0 that contains the point (2; 1; 3) and is parallel to `. A. ~ = (1 + 2t)~...

Section 8.3 Reading Assignment: Trigonometric Integrals Answer Only Exercise 1, 2, and 3 by using a screenshot provided Calculus Pearson textbook. Make sure you read these three questions very...

1. One time your company needs cash and plans to auction off subsidiaries to the highest bidder. Mention the type of auction that will maximize your company's revenue from the sale if: a. Bidder is...

Calculate a t-test for the following scenario. An engineer is designing a stationary parts bin at a work table and considers using an established... Calculate a t-test for the following scenario. An...

1 3 . ) Use the chain rule to find d w d t . w = x e y z , x = t 5 , y = 5 - t , z = 9 4 t

Entries into T accounts and Trial Balance Connie Young, an architect, opened an office on October 1, 2019. During the month, she completed the following transactions connected with her professional...

Let the permutation is 3- -2 -1 4- then the next permutation is a. 3- -2 -4 1- b. -2 3-1- 4- C. -2 3- +1 -4 d. -2 3- +1 4-

The time complexity of TSP is a. O(n?) b. O(n!) c. O(2") d. O(nlogn)

Q6. Solve the following system of equations using the inverse of a matrix. x+ 2y + 2z = 5 3x - 2y + z = - 6 2x + y -z = - 1

Given A = -2sin() + zcos(4)o the Div(Curl(A) is O a. Zero O b. psin(4) Oc-6pzcos(0) O d. (2- 3z)psin(4) 4pzcos(4) O e.

Can we put that she will be making weekly payroll deductions inthe amount of $52.75 to the housing equalling $211.00 monthly

The file EuroTourism2 contains a sample of 27 European countries. Variables included are the number of jobs generated in the travel and tourism industry in 2012, the spending on business travel...

An automotive insurance company wants to predict which filed stolen vehicle claims are fraudulent, based on the number of claims submitted per year by the policy holder and whether the policy is a...

The file BBCost2012 contains the total cost (in $) for four tickets, two beers, four soft drinks, four hot dogs, two game programs, two baseball caps, and parking for one vehicle at each of the 30...

The following data are given for a two-factor ANOVA with two treatments and threeblocks.

A real estate developer is considering investing in a shopping mall on the outskirts of Atlanta, Georgia. Three parcels of land are being evaluated. Of particular importance is the income in the area...

The following are six observations collected from treatment 1, ten observations collected from treatment 2, and eight observations collected from treatment 3. Test the hypothesis that the treatment...