Use the trapezoid rule withn=4 to estimate dx . Answer must be in fraction.

Q: Evaluate: (answer in fractional form så S sinº x dx 0

A: To find the value of given definite integral ∫0π2sin6xdx

Q: Find the value of V®dx 0.

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Q: dy/dx=? for  3x4-e2xy+y5=2

A: According to product rule, uv’=u’v+v’u

Q: ? Question Calculate * (z3y + 1) y2 dy dr.

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Q: dy 4. a2+ y? = ry (Bernoulli DE) dx

A: Answer and explanation is given below..

Q: y= lux of yoe Find DfR.

A: Explanation of the solution is given below...

Q: What is the value of I V16 – x² dx?

A: The definite integral ∫-4416-x2dx can be solved by applying the trigonometric substitution . Let…

Q: the following dy Sove D.E VI+x dy + XCI+y) XP

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Q: Find dy/dx in terms of x and y if x8 + y? = V10. %3D dy dx ||

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

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Q: if y = 3x2-2x+5 , determine dy/dx using the definition.

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Q: Next Que dy Find by differentiating implicitly. When applicable, express the result in terms of x…

A: We will solve the following

Q: ©Use TMe Phopentos to Eselaate dx=D4 (2) 3 x da= 2

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Q: If, 2ay" =17 when y' x=Arctant³, y=/1+t6, find the value of a if t=\

A: Here we have to find the value of given problem.  The solution is following.

Q: Use the midpoint rule with = 2 to estimate 1 dx. Hint Ax = 2 m1 = and m2 = Answer 24 35

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Q: Given y= (10x+18ex )9 , find dy/dx

A: The given function,      y=10x+18ex9

Q: Given that x2 -y² = 9, then dy/dx = %3D

A: Topic = Derivative

Q: Find d?y/dx? implicitly in terms of x and y. x?y - 3x = 8 dx2

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Q: Accuracy in successive relief is higher than in Causs Seidel

A: This is a problem of Numerical Analysis.

Q: Y 59° Z. 138°

A: See attached file for a step by step explanation to find required arc XY.

Q: If x3 + y3 = 2, find the value of at the point (1,1). dx?

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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: By using substitution and integration by parts, find S xe2x dx. (2х-1)2

A: Special Integral (Exponential Integral) : ∫exxdx = Ei(x)

Q: Solve by integrating factor by inspection: * 2 ydx — 3хy? dx — хӑу %3D 0

A: Explanation of the answer is as follows

Q: Find 2-x) dx by using the formula for the area of a triangle.

A: Given, ∫022-xdx  We have to find the above definite integral by using area of triangle .

Q: The Trapezoidal rule applied to f fx) dx gives the value 4, and Simpson's rule gives the value 2.…

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Q: S Si e** (y + 6x²y)dxdy =?

A: According to the given information it is required calculate the integral

Q: Sove for dy 4 X3 hy= e*csch (2-y?)

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Q: Find the values of a that make: ja- |(x– 2)dx = 6

A: Answer

Q: Use n = 6 subdivisions to approximate the value of Vx +2 dx by the trapezoidal rule.

A: The given integral is ∫06x+2dx and the value of n is 6. Using the trapezoidal rule, approximate the…

Q: E(XY)=?

A: Given Data: f(x,y)=17x2y             for (x,y)=(1,1), (1,2), (2,1)           =0…

Q: Find -dx + C (To enter In(|x), you would enter In(abs(x)). Note: In abx(x) will not work )

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Q: Find the antiderivative of dx/(49x2+16)2

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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: Using appropriate substitution 1 dx V9x² – 36x + 37 Is equal to

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Q: Find , given y = 5² 6n² a dy dx

A: ddx(5x6ln2(x))We know that…

Q: Find what value of c does dx = 1?

A: Given ∫5∞cx3dx = 1we know that ∫xn dx = xn+1n+1+C

Q: Evaluate [(x² +2) dx , using Trapezoidal rule, by taking N = 8.

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Q: find the antiderivative dx/sqrt(4x2+49)

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Q: If x+y = 63, find the value of dy at the point (-1,4). %3D dx2 The value of at the point (-1,4) is|:

A: Given, x3 +y3 = 63  We have to find the value of d2ydx2 at the point -1, 4.

Q: Find dy/dz by differentiating implicitly if z2 + y = 100. Answer:

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Q: (у + /x2 + у?)dх — хdy; when х %3D V3, у %3D1

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Q: 3 Given that ex dx = e³ – e, use this result to evaluate 7ex + 4 dx.

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Q: Sx(2x – 3)®dx

A: Solution

Q: If x= Arctant3, y=1+16, find the value of a if 2ay" 17 when =2.

A: Given query is to find the value of a.

Q: Use the method of separation of variables to solve, dy 2x(3x +1) Зу? — 1 dx given that y(0) = 2.

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Q: d’Y 2) Find dx? X = et et Y = et + t?

A: we have to find the second order derivative

Q: 3 Differentiate the expression (x + y )" with respect to x. (Use D for 2). dx

A:

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.