Calculus questions. Answer all questions.

4. NO LESS THAN 30 A4-PAGES (technical report). 5. FILL THE PAPER REVIEW TABLE ON NEXT PAGE. 6. BY MS WORD. Discus the connections and differences of all the chapters we studied this semester. Discuss the connections and differences between definite integrals and double integrals Draw mind maps for all chapters we studied this semester, such as difference equations, differential equations, geometry, infinite series, applications of definite integrals and double integrals. Including most of theorems and exercises. Title, sections, subtitles , references E. Resolving following problems. (1) Change the order of the iterated integral J dx] f(x, y)dy as (2) If the curve is x = 3t, y = t',OstS1, then J (x3 + y )ds =_ (3) Let z= x' + y' + xy, where x = sint, y =e' . Then dz dt A. 1; B. 2; C. 3; D. 4. (4) Let I, = [ |xyldxdy, I2 = ff [xyldxdy, Is = [ ] [xyldxdy. then A. I, SI, SI, B. I, SISI, C. I, SI, SI, D. I, SI, SIZ (5) The value of In(x2 + y?) do (b> 0) is bs x+ x/SI A. > 0; B. 1