Calculus

MAT 302 Assignment Problem 8.2 | Borough of Manhattan Community College8.2 Integration by partsQuestion 1(1 point)Solve∫(11x+7)exdx∫(11x+7)exdxusing Integration by Parts.Useu=11x+7u=11x+7anddv=exdxdv=exdx.Question 2point) Use integration by parts to find the following:∫(t+7)e2t+3dtQuestion 3(1 point) Use integration by parts to evaluate the integral.Question 4(1 point) Evaluate the indefinite integral. ∫lnxx6dxQuestion 5(1 point) Evaluate the in

15 Mathematics Assignment Help / Calculus Borough of Manhattan Community College / MAT 302 19 Jun 2021

MAT 302 Assignment Problem 7.4 |Borough of Manhattan Community College7.4 Arc length and Surface of RevolutionQuestion 1(1 point) Find the arc length of the graph of the functiony=x36+12xy=x36+12xover the interval[1,2]Question 2(1 point) Find the arc length of the graph of the functiony=2x32+3y=2x32+3over the interval[0,9][0,9].Question 3(1 point) Find the arc length of the graph of the functiony=ln(cosx)y=ln(cosx)over the interval[0,π3]Question

7 Mathematics Assignment Help / Calculus Borough of Manhattan Community College / MAT 302 19 Jun 2021

MAT 302 Assignment Problem 7.3 |Borough of Manhattan Community CollegeQuestion 1(1 point) The volume of the solid obtained by rotating the region enclosed byy=8x−2x2,y=0y=8x−2x2,y=0about the y-axis can be computed using the method of cylindrical shells via an integralQuestion 2(1 point) The volume of the solid obtained by rotating the region enclosed byy=x2,x=2,x=3,y=0y=x2,x=2,x=3,y=0about the linex=5x=5can be computed using the method of cylindr

8 Mathematics Assignment Help / Calculus Borough of Manhattan Community College / MAT 302 19 Jun 2021

MAT 302 Assignment Problem 7.2 | Borough of Manhattan Community College7.2 Volume The Disk MethodQuestion 11 point) The volume of the solid obtained by rotating the region enclosed byy=e5x+4,y=0,x=0,x=0.5y=e5x+4,y=0,x=0,x=0.5about the x-axis can be computed using the method of disks or washers via an integralQuestion 2(1 point) The volume of the solid obtained by rotating the region enclosed byx=0,y=1,x=y2x=0,y=1,x=y2about the liney=1y=1can be co

8 Mathematics Assignment Help / Calculus Borough of Manhattan Community College / MAT 302 19 Jun 2021

MAT 302 Assignment Problem 7.1 | Borough of Manhattan Community College7.1 Area of Region Between Two CurvesQuestion 1(1 point) Find the area of the region that is enclosed betweeny=11x2−x3+xy=11x2−x3+xandy=x2+25xy=x2+25x.Question 21 point) Find the area of the region enclosed by the two functionsy=5x2y=5x2andy=x2+4.y=x2+4.Question 3(1 point)Find the area of the region between the curvesy=12−x2y=12−x2andy=x2−6.Question 4(1 point)Find the area of

13 Mathematics Assignment Help / Calculus Borough of Manhattan Community College / MAT 302 19 Jun 2021

MAT 302 Assignment Problem 5.8 | Borough of Manhattan Community College5.8 Inverse Trig Functions IntegrationvQuestion 1(1 point) Letf(x)=−71−x2−−−−−√f(x)=−71−x2. Enter an antiderivative off(x)f(x).Question 21 point) Letf(x)=13x2+1f(x)=13x2+1. Enter an antiderivative off(x)Question 31 point) Evaluate the indefinite integral. ∫(arctanx)71+x2dx∫(arctan⁡x)71+x2dxQuestion 4(1 point) Evaluate the integral∫8√1101+x2dxQuestion 5(1 point) Evaluate the i

12 Mathematics Assignment Help / Calculus Borough of Manhattan Community College / MAT 302 19 Jun 2021

MAT 302 Assignment Problem 5.5 |Borough of Manhattan Community College5.5 Integration By SubstitutionQuestion 1(1 point) Evaluate the integral by making the given substitution. ∫sec(6x)tan(6x)dx,u=6xQuestion 2(1 point) Evaluate the indefinite integral. ∫5sin2xcosxdxQuestion 3(1 point) Evaluate the indefinite integral. ∫x5(x6+5)3/2dxQuestion 4(1 point) Evaluate the indefinite integral. ∫(x2−2)3⋅2x1dxQuestion 5(1 point) Evaluate the indefinite

20 Mathematics Assignment Help / Calculus Borough of Manhattan Community College / MAT 302 19 Jun 2021

MAT 103 Assignment Problem 5.4 | Borough of Manhattan Community College5.4 The Fundamental Theorem Of CalculusQuestion 11 point) Evaluate the definite integral:Question 2(1 point) Evaluate the definite integral:Question 3(1 point) Evaluate the definite integral.Question 4(1 point) Evaluate the definite integral∫π010sin(x)dxQuestion 5(1 point) Evaluate the integral∫34sin(t)dtQuestion 6(1 point) Evaluate the definite integralQuestion 71 point) Eval

20 Mathematics Assignment Help / Calculus Borough of Manhattan Community College / MAT 302 19 Jun 2021

MAT 103 Assignment Problem 5.3 | Borough of Manhattan Community College5.3 Riemann Sums And Definite IntegralsQuestion 1(1 point) The rectangles in the graph below illustrate a left endpoint Riemann sum forf(x)=−x25+2xf(x)=−x25+2xon the interval[2,6][2,6]. The value of this left endpoint Riemann sum is17.7, and this Riemann sum is [select an answer] an overestimate of equal to an underestimate of there is ambiguity the area of the region enclosed

9 Mathematics Assignment Help / Calculus Borough of Manhattan Community College / MAT 302 19 Jun 2021

MAT 103 Assignment Problem 5.2 | Borough of Manhattan Community College5.2 AreaQuestion 1(1 point) Find the sum.Question 2(1 point) Find the sum.Question 3(1 point) Find a formula for the sum ofnnterms. Use the formula to find the limit asn→∞n→∞limn→∞∑i=0n(1+2in)22nAns 3Question 41 point) Find a formula for the sum ofnnterms. Use the formula to find the limit asn→∞n→∞limn→∞∑i=0n(2+3in)33nQuestion 5(1 point) The rectangles in the graph below illus

12 Mathematics Assignment Help / Calculus Borough of Manhattan Community College / MAT 302 19 Jun 2021