Using power series with integration to find the length of x^2/a^2+y^2/b^2=1. assume b>0.  Solution hint as below: consider there two case(a>b, or a

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A: As per the question we are given the following function : y = ex + x And we have to find y'(x) for…

Q: Q9/ find the integration ſe^( (2x) ^3-1) x2 dx? * 1 а- 6. e2x* -1+c 1 b- e2x3 +C 1 .2x3–1+

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Q: Find the length of the curve given by x = 0 <y< 2. State the integration method 4 used to evaluate…

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Q: et Determine if the improper integral dx converges or diverges. (1 - e)2 If it converges, find its…

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Q: 3. Prove that ox + 6x -4X12 is irreducible over Q.

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Q: 3. Determine the standard matrix of a linear transformation in 3D that rotates a vector…

A: Given: Let us consider, Axis =300,Projects on plane x=2y

Q: Find an "n" such that 27/2 * (e^(n+1)-1)/(n+1)(n+1)! <0.05 and use this information to calculate the…

A: Given 272en+1-1(n+1).(n+1)!&lt;0.05 for n=8 272e9-19.9!=0.033 which is less than 0.05.

Q: Cl3 + Fred save the intial value problem by using predictor method for tweiter ations? ✓' = y = x…

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Q: The error function erf (x) is defined by erf (x)= 2/sqrt(pi) integral from 0 to x e^-t^2. Find d/dx…

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Q: The area of the region enclosed by the two curves y=x²-4 and y = x - 4 is given by

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Q: Show whether e^(1/z) is harmonic or not Identify the type of isolated singularities for…

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Q: A car starts from rest at time t 0 and accelerates with acceleration a(t) = –0.6t + 4-meters sec^2…

A: Here, a(t)=-0.6t+4⇒v(t)=∫a(t) dt⇒v(t)=∫-0.6t+4dt⇒v(t)=-0.3t2+4t is the velocity function.

Q: Q1} By Using Simpsons Rule, write program in script file that calculate the following integration: n…

A: %Composite simpson 1/3 ruleclcclearclose allformat longSumm2=[];m=[];n=10:10:40;  Err=[];for…

Q: integrate f(x) =x^3 * exp(1.33*x) from 1.26 to 2.01 with simpsons 3/8 method use 21 intervals for…

A: Given that, f(x)=x3(e1.33x) , from 1.26 to 2.01 with 21 intervals  To determine The integration…

Q: Find d/dx [ upper integral sin x and lower integral x^5   sec^2 t tan^2 t/t^3 -57t + 3 dt]

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Q: Apply Newton’s method twice to approximate 7^(1/3) . Use the initial approximation xsubscript 0=2

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Q: 1. 13 – 3x8 dx

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you…

Q: If f(x) is a polynomial function satisfying f(x) ·ƒ ( ² ) = f(x) + f ( ² ) a and f(4) = 65, then…

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Q: The suspension calbes of the golden gate bridge can be modeled by the curve y=0.00037x^2 for lxl< or…

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Q: Evaluate this Type II improper integral; if convergent, find its’ value. integral upper=pi/2…

A: secx-tanx is not defined at x=pi/2. Therefore, given improper integral can be written as We know…

Q: Solve the intial value problem where y(-2) =0: (6e^3y +1)(x+1)dy - xeydx = 0

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Q: Solve the integral_ (6+3 cos(x))dxr by using: a) the Trapezoidal Rule with step size h= n/2 b) the 3…

A: Given, ∫abf(x)dx=∫0π26+3cos(x)dx Here, f(x)=6+3cos(x) a,b=0,π2       h=π2…

Q: | Example 8.11. Evaluate the integral the error with the exact value. dx using Simpson's 1/3rd rule.…

A: Please find step by step solution below

Q: The improper integral 1 dx converges to '5 Vx-5

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