How large should n be to guarantee that the Trapezoidal Rule approximation to | (- - 62 + 24x2 – 2x – 5)dz is accurate to within 0.1. n = How large should n be to guarantee that the Simpsons Rule approximation to I (-* – 6z° + 24x² – 2x – 5)dz is accurate to within 0.1. | n =

Q: Differentiate. y = In [(x + 5)5 (x + 1)6 (x + 8)²] d [In [(x + 5)(x + 1)®(x+ 8)²]] = O dx

A: Given:- To differentiate:-

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A: Given the integral We need to find the values of n and h such that the error is within 10−4.(a) The…

Q: 3.) Integrate using an appropriate technique: 24100 dx (show all steps) 4x2 + 24x+100

A: We have to evaluate

Q: 12)Use the Trapezoidal Rule to estimate the integral ₁√x² - 1 dx using 4 intervals. Round to the…

A: Solve the following

Q: 26) y = tan((T/6)x) Period: TT. -217 -ㅠ TT 21T -2 -1 -1 -2 -ㅠ MCL @01 %24 ElN-

A:

Q: 1. Determine the following: 8. S(V)° -+ - 9 7 dx (4x-1)3. 2-x 2x5-4Vx+3 h. S

A:

Q: D. Evaluate et-2 tan vE 2t + 3 S 't² – 2t + 1 e2t

A: To evaluate: ∫et-2e2t, tan tt, 2t+3t2-2t+1dt=∫et-2e2tdt, ∫tan tt dt, ∫ 2t+3t2-2t+1 dt+A,B,C

Q: How large should n be to guarantee that the Trapezoidal Rule approximation to 2 4 3 L -x² - 2x ³ +…

A: We will use bounds of error in approximation using trapezoidal rule and Simpsons rule

Q: (8x) W FIND X. (21x 12) (10x + 9)

A:

Q: 3) Suppose I want to use a "u" substitution to find sec² (9x + 4)dx. What should I choose for u? O…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 1. If Z = sin r+ 2 I+1 6. - ", find dZ/dr.

A: differentiate with respect to x

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Q: How large should n be to guarantee that the Trapezoidal Rule approximation to L. (- a* – 14a³ – 60x²…

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Q: 3.The iteration formula can be used to find (A) square root of A (B) cubic root of A (C) fourth root…

A:

Q: Use the method of variation of parameters to solve. y" + 4y = 8 tan t - "/2<t<"/2

A:

Q: s - 2 s3 + 4s) d. С-1

A: As specified to solve question 8(d),

Numerical Integration

In a mathematical investigation, numerical integration comprises a wide group of calculations for computing the mathematical estimation of definite integral, and likewise, the term is moreover in some cases used to depict the numerical solution of differential equations. The most important aspect of this theory is error analysis.