Search the whole station

# 数学积分代写 Integral Calculus代写 MATH代写 Exam代写

167

## Final Exam

### Instructions:

(1) You have 160 minutes to solve this exam.

(3) No notes, books, or any electronic devices can be used during this exam, except: One screen to look at the statements and your webcam to participate of the Zoom exam environment.

(4) If you have connectivity issues, join the Zoom exam environment again as soon as possible.

(5) Please make sure to upload your work for each problem to the correct slot on Gradescope, otherwise the work for that problem will not be visible to the graders.

(6) You do not need to print out the exam problem page. But, make sure to label each solution.

(7) This exam has 7 problems (2 pages). Five of the problems have 2 parts. The total score is 100 points.

(8) Show all your work! Unless otherwise specified, an answer without a full procedure or explanation might receive no credit.

### Trigonometric identities:数学积分代写

sin2(θ) + cos2(θ) = 1

tan2(θ) + 1 = sec2(θ)

sin(2θ) = 2 sin(θ) cos(θ)

cos(2θ)= cos2(θ)sin2(θ)

cos2(θ) = ½ + ½ cos(2θ)

sin2(θ) = ½ ½ cos(2θ)

### (5) (16 points) About applications:

(5a) (8 points) Set up, but do not evaluate, an integral which computes the area of the region between the curves y = 12 x2 and y = x2 6.

(5b) (8 points) Set up, but do not evaluate, an integral that computes the arc-length of the upper half of the ellipse 4x2 + y2 = 1.

### (6) (16 points) 数学积分代写

Let R be the region between the curves y = x2 and y = 4x.

(6a) (8 points) R is revolved about the x-axis to produce a solid. Set up, but do not evaluate, an integral which computes the volume of this solid. You may use any method you choose, but make sure you state the method you are using.

(6b) (8 points) R is revolved about the line x = 1 to produce a solid. Set up, but do not evaluate, an integral which computes the volume of this solid. You may use any method you choose, but make sure you state the method you are using.

The prev:

### Related recommendations

• #### 时间序列分析代写 Time Series Analysis代写 Exam代写

157

STAD57 Time Series Analysis Final Examination 时间序列分析代写 Duration: 3hours Examination aids allowed: Non-programmable scientific calculator, open book/notes Instructions: • Read the...

View details
• #### 宏观经济学代写 Macroeconomics代写 Exam代写 考试助攻

151

Macroeconomics Exam 宏观经济学代写 I. Theoretical questions (5 points) 1. Consider equilibrium in the labour market. Describe the impact on it that results from the introduction of ...

View details
• #### 国际货币经济学代写 ECONOMICS代写 EXAM代写 经济学代写

255

ECON 3H03 – INTERNATIONAL MONETARY ECONOMICS MIDTERM EXAM 2 国际货币经济学代写 This midterm is individual and closed-book. For the multiple choice questions, choose the option that best answ...

View details
• #### 会计考试代写 Management Accounting II代写 Exam代写

228

Management Accounting II Exam 会计考试代写 Group I (8 Values) (Estimated solving time: 60 minutes) JOTA company produces a single product from the transformation of a single product. ...

View details
1