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Set up integral(s) representing the volume of the solid generated by revolving the region bounded by x=0,y=0,y=6{“version”:”1.1″,”math”:”x=0,y=0,y=6″} and y=x-4{“version”:”1.1″,”math”:”y=x-4″} about the line x=10{“version”:”1.1″,”math”:”x=10″}.  a.  Use shells. b.  Use disks/washers. c.  Evaluate one of the integrals.  Record the exact answer, not an approximation.

Set up an integral describing the area inside r=4-4sinθ{“version”:”1.1″,”math”:”r=4-4sinθ”}, and above the line θ=π6{“version”:”1.1″,”math”:”θ=π6″}.  Do not evaluate.

Evaluate the integral by hand:  ∫23x2lnxdx{“version”:”1.1″,”math”:”∫23x2lnxdx”}

Convert x-y=x2+y2{“version”:”1.1″,”math”:”x-y=x2+y2″} to polar coordinates.

After you have completed the exam, you may access your phone to scan the work for problems 19 – 26. Upload the scan in this question.  (Add File.) Then, submit the exam.  Have a great summer!

Find the general solution of the differential equation:  4ydx=x2-4dy{“version”:”1.1″,”math”:”4ydx=x2-4dy”}.  Solve for y.

Determine whether the sequence converges or diverges.  If it converges, find the limit.  an=3+x34+x+7x34x3{“version”:”1.1″,”math”:”an=3+x34+x+7x34x3″}

Read the following quotations from a modern writer and preacher. What doctrine or theory is the author advocating?·         “Any person who has a profound grasp of the biblical witness to God as revealed especially in Jesus Christ, but also in verses such as John 3;16 and 1 John 4:8, will have to give up particular redemption.” RO, AC, 150.

Which of the following is not one of the characteristics of God’s plan, according to Erickson?

What key phrase in Hebrews 1:8 indicates that Jesus Christ is called God?