Use Composite Trapezoidal Rule with M = 4 to find: Lif(x)dx where f(x)=(1+x?)-1 Select one: O a. 1.5500 O b. 1.5236 O c. 1.5523 O d. 1.5575

Q: dy You need not expand your answer. dx Calculate 5x2 - 9x + 19 y = 2x + 4

A: Since you have asked multiple questions in single request so we will be answering only first…

Q: Given x = 2e3t and y = (2t – 1)3, find the value of when t = 3. Round your dx2 answer to 3 decimal…

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Q: Find dy/dx and d2y/dx2. x = t2 + 6,    y = t2 + 3t   For which values of t is the curve concave…

A: Given that, x=t2+6, y=t2+3t Find the value of dydx and d2ydx2.

Q: d²y Find dx² x = ² + 2, y = ² + 7t dy dx d²y dx² For which values of t is the curve concave upward?…

A: We have to solve given Questions.

Q: Find d'yldx implicitly in terms of x and y. x²y = 4x = 6 dx2

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Q: dx √ 1 + x² Using three point Gaussian quadrature formula, evaluate

A: Please find step by step answer below:

Q: Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule t 10 In(x) dx,n = 6

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Q: dy Find the value of at x= 5 using Lagrange's interpolation formula from the given table dx 1 7 y 4

A: Given  x17y48 we have to find the value of dydx at x=5 using Lagrange's interpolation.

Q: Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule t 4 10 In(x) dx, n = 6

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Q: Find for x2 +y? = 169 at the point dx %3D (-5, 12).

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Q: Find the value of d2y/dx2 at the point defined by the given value of t. x = t, y = 2t, t= 5 1 10 V10…

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Q: Find ay in terms of x and y. dx2 x?y2 - 8x = 3 d²y dx?

A: Given that x2y2-8x=3. Differentiate both sides of the above equation with respect to x as follows.…

Q: +00 1 1 : dx x[In(mx)]3 m+3 8

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Q: dx Evaluate J, +6x+10 by dividing the interval into 8 equal parts by using Trapezoidal rule.

A: The integral ∫15dxx2+6x+10. We have to evaluate this integral by dividing the interval into 8 equal…

Q: dy Find for y = x17 dx А. 1716 В. 216 С. 16х16

A: A detailed solution is given below

Q: Show that -a²x² dx = VT/2a, a > 0, I = e by noting that I = -a²(x²+y³), dx dy -a²r², r dr d0. e

A: We need to show thatI=∫0∞e-a2x2dx=π2a,      a>0

Q: ey+Ve2y-4 5. x = In sove for y' 2 Inr

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Q: Use the trapezium rule, with 4 strips, to estimate ? e−x2 dx on [0, 2]. What is the maximum error?…

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Q: dy Find for ax xtR ב3 ay

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Q: Usę the Trapezoidal Rule with n 6 to approximate 'e dx. %3D -x2

A: As per our guideline we can only answer 1 question at a time. Kindly re-post other questions.We are…

Q: Use the trapezoidal rule to find A- using the indicated value of n. dx; n = 8 3 3x +3 A, = (Round…

A: We will evaluate the integral by using trapezoidal rule as shown below

Q: Complete the evaluation of V4 x make sure to express your answer in dx in Example 2; terms of x.

A: Consider the provided integral, ∫x24-x6dx Solve the above integral and write down the answer in term…

Q: ôf Find dx fe for the following dy and x?y (a) ƒ(x,y) = y4 + 3

A: Consider the given function: fx,y=x2yy4+3 Here, the objective is to find the value of ∂f∂x and ∂f∂y

Q: (a) Use n = 6 subdivisions to approximate the value of 6 Vx + 3 dx by the trapezoidal rule.

A: We need to find approximate value by trapezoidal rule. NOTE - AS PER OURGUIDELINES WE CAN NOT SOLVE…

Q: Find for the following by using appropriate rules: dx i. y = Vt , x: X = t+1

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: Hw z] Find Sxsin(x)dx using this rule.

A: Given that, Using the chain rule, The integral becomes,

Q: Q:: Find dy for the following functions: - dx 5x²y5 - 3x = x* + 3y?

A: Given function is : We have to differentiate it with respect to x.

Q: H.W: Given that approximate 1 dx=2 use Trapezoidal rule with n=8 to 9 x² +1 4 the value of ß?

A: Trapezoidal rule

Q: dx find . diven that x>0, using the substitution u =

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Q: dy Find for the following functions dx (i) y = (3x³ + 2x + 8)³ (ii) y = ecos(2x²+3x–2) %3D

A: ddxex=exddxxn=nxn-1

Q: d²y Find for the given function. dæ? y = 11 csc(x) d²y Preview dx?

A: Differentiating given function twice with respect to x

Q: What is the numerical approximation to -dx -1 2+x using the basic trapezoidal rule? (a) 0 (b) 2 (c)…

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Q: Q2:Fid for : y = dy ncothx + sechx* dx

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Q: ) PV Is AN ALTITVOE TO OI メーD エF 41 = Sx+S エ FINO Mメエ

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Q: Use the Trapezoid rule to approximate: dx; n = 8

A: Since you have asked  multiple questions  so as per guidelines we will solve the first question for…

Q: f(x) = 3x²+x+7. Approximate fo trapezoids. O a. 60 Ob. 44 Oc. 30 Od. 22 f(x)dx using the trapezoidal…

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Q: xdx Q 1: Find the approximate value of I= using the trapezoidal rule with 6 equal subintervals. 1+ x…

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Q: If x= Arctant, y=. 2ay" =17 when t=V2. 1+76, find the value of a if y' В © VE E -2/2

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Q: f of If dx + In(7y), what is ? - дхду Select one: 1 7. а. дхду y y b. дхду - y + 7e?y С. дхду 1+e7y…

A: Option E is correct.  Make x constant

Q: a) Verify the following result: 8. T(1 – x2)?dx = 15"

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: dx x2 + x+ 1 (a) analytically, (b) single application of the trapezoidal rule, (c) composite…

A: I am solving the first 3 parts.please resubmit the question for other parts.

Q: Use the trapezoidal rule to find A- using the indicated value of n. dx n=8 Round the final answer to…

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Q: (a) Use n = 6 subdivisions to approximate the value of Vx + 3 dx by the trapezoidal rule.

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: (a) By using the substitution, u = 1+ x*, or otherwise, find x3 dx 1+ x*

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Q: Q1: Use trapezoidal method with n=4 to approximate 4x4 dx

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Q: 1 Approximate xe*dx using the Trapezoidal rule with 4 points. O A.3.123 O B. 6.246 OC2.082 O D.1.041

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Q: Q4 Find y'of y = In- %3D ? 1+e0

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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.