Calculus

MAT 302 Assignmrnent Problem 9.7 |Borough of Manhattan Community College9.7 Taylor Polynomials And ApproximationsQuestion 1ComputeT2(x)T2(x)atx=1x=1fory=exy=exand use a calculator to compute the error|ex−T2(x)||ex−T2(x)|atx=1.4x=1.4.Question 2Calculate the Taylor polynomialsT2(x)T2(x)andT3(x)T3(x)centered atx=πx=πforf(x)=sin(x)f(x)=sin(x). T2(x)T2(x)must be of the formA+B(x−π)+C(x−π)2Question 3(1 point) Write the Taylor polynomialT5(x)T5(x)for th

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

MAT 302 Assignment Problem 9.6 | Borough of Manhattan Community College9.6 The Ratio and Root TestQuestion 1(1 point) What can you say about the series∑an∑anin each of the following cases using the Ratio Test? Answer "Convergent," "Divergent," or "Inconclusive."Question 2(1 point) Use the ratio test to determine whetherconverges or diverges.(a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. Forn≥7n≥7,(b)Eval

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

MAT 302 Assignment Problem 9.5 | Borough of Manhattan Community College9.5 Alternating SeriesQuestion 1(1 point) Write the general formula for the following alternating series in the form Question 2(1 point) Determine whether the following series converges or diverges. Note:You have only one chance to enter your answer.Question 3(1 point) Determine whether the following series converges or diverges. Note:You have only one chance to enter your

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

MAT 302 Assignment Problem 9.4 |Borough of Manhattan Community College9.4 Comparisons of SeriesQuestion 1(1 point) Use the limit comparison test to determine whetherconverges or diverges.(a) Choose a series∑n=13∞bn∑n=13∞bnwith terms of the formbn=1npbn=1npand apply the limit comparison test.Write your answer as a fully simplifiedfraction.Forn≥13n≥13,(b) (b) Evaluate the limit in the previous part. Enter∞∞asinfinityand−∞−∞as-infinity.If the limit

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

MAT 302 Assignment Problem 9.3 |Borough of Manhattan Community College9.3 The Integral Test and p-seriesQuestion 1(1 point) Compute the value of the following improper integral. If it converges, enter its value. Enterinfinityif it diverges to∞∞, and-infinityif it diverges to−∞−∞. Otherwise, enterdiverges.Question 2Use the Integral Test to determine whether the infinite series is convergent.∑n=5∞2ne−n2Fill in the corresponding integrand and the va

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

MAT 302 Assignment Problem 9.2 | Borough of Manhattan Community College9.2 Series and ConvergenceQuestion 1(1 point) Find the numerical value of the sums below.Question 21 point) Find the numerical value of the sum below.Question 3(1 point) Enter a formula forQuestion 4Compute the partial sumsS2,S4S2,S4, andS6S6.Question 5(1 point)Compute the partial sumsS2,S4S2,S4, andS6S6.Question 6(1 point) Ifsn=∑i=1n(12)i,sn=∑i=1n(12)i,then list the first fiv

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

MAT 302 Assignment Problem 9.1 | Borough of Manhattan Community College9.1 SequencesQuestion 1(1 point) List the first five terms of the sequence:Question 2(1 point) List the first five terms of the sequence:Question 3Calculate the first four terms of the following sequence, starting withn=1n=1.Question 4 Match the graphs with the corresponding formulas Question 5(1 point) Find a formula for the general termananof the seque

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

MAT 302 Assignment Problem 8.8 |Borough of Manhattan Community College8.8 Improper IntegralsQuestion 1(1 point) Compute the value of the following improper integral. If it is divergent, type "Diverges" or "D".Question 2(1 point) Compute the value of the following improper integral. If it is divergent, type "Diverges" or "D".Question 3(1 point) Match the following improper integral with the improper integral below in which you can compare using th

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

MAT 302 Assignment Problem 8.5 |Borough of Manhattan Community College8.5 Partial FractionsQuestion 1Question 2(1 point)Which of the following is the correct form of the partial fraction decomposition ofx4 Question 3(1 point)Which of the following is the correct form of the partial fraction decomposition ofx4x4−1?Question 4(1 point)Which of the following is the correct form of the partial fraction decomposition ofQuestion 5(1 point)Which of the

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

MAT 302 Assignment Problem 8.4 | Borough of Manhattan Community College Question 1(1 point) Match each of the trigonometric expressions below with the equivalent non-trigonometric function from the following list. Enter the appropriate letter (A,B,C,D, or E) in each blank. A.tan(sin−1(x/4))tan⁡(sin−1⁡(x/4)) B.cos(sin−1(x/4))cos⁡(sin−1⁡(x/4)) C.(1/2)sin(2sin−1(x/4))(1/2)sin⁡(2sin−1⁡(x/4)) D.sin(tan−1(x/4))sin⁡(tan−1⁡(x/4)) E.cos(tan−1(

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