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

Integral Calculus – MATH 9B

Final Exam

数学积分代写 Instructions: (1) You have 160 minutes to solve this exam. (2) Uploading to Gradescope will be at the end. You will have 15 minutes to upload

Instructions:

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

(2) Uploading to Gradescope will be at the end. You will have 15 minutes to upload your work.

(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)

(1) (16 points) About basics of integration and fundamental theorem of calculus:

(4) (16 points) Problems 4a) and 4b) do not depend on each other and deal with partial fractions. 数学积分代写

(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.

更多代写：CS加拿大留学生代写价格  gmat网考代考  英国金融网课代上价格  科技论文作业代写  加拿大数学论文作业代写  sat考试作弊

合作平台：essay代写 论文代写 写手招聘 英国留学生代写