Evaluate a) Sulestitution b) ly gamma funetion aud then Compare your resuls in uoth Cases

Q: 1. (Chap 7.2) Find the volume of a solid whose base is bounded by the circle centered at (0, 0) with…

A: Hey, since there are multiple questions posted, we will answer the first question. If you want any…

Q: find the value of the intr od specity integroliedes the I-x2

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Q: 2) a) Ŝ find the value of the inter Specify the integrol liees |-x2

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Q: Find the area of the circular washer with outerradius 2 and inner radius 1, using Fubini’s Theorem

A: Given Circle with radius ‘2’  Circle with radius ‘1’

Q: In Hn.7 Sec a wheel whose diameter 19 7.3ft, sotates 67266 tiones. Hou far Will point on the edge of…

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Q: 2. A hemisphere of radus 12 nches and base up is full of water that runs out through an orifice of…

A: Dimensions of a hemisphere tank are: Radius R=12 inches or 0.3048 mHeight of tank H1=Radius of tank…

Q: 2. Show that an equilateral triangle can be inscribed in the epitrochoid and that its centroid is on…

A: An equilateral triangle can be inscribed in the epitrochoid and that its centroid is onthe circle of…

Q: alue Theorem to approximate the value of

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Q: : Prove that three dimentional volume element "dx dy dz " is not invariant bu ment is invariant…

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Q: dx Vitex

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Q: 18) Use two compositions of composite Simpson's method to estimate the integral Inx dx

A: The Simpson's rule can be used to calculate the integral approximation. The formula used in…

Q: sketch andl eualuate the idouble integral 6. Fexp

A: We need to sketch evaluate the given double integral.

Q: 2. An object weighng 200 lbs falls freely until it reaches a terminal velocity of 175 Asec. A'ssume…

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Q: Illustrate the setting up limits of a double integral?

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Q: Calculate the integral ∫dx / asinx+bcosx.

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Q: Approximate the following integral using three-point Gaussian quadrature rule. 2 dr 1²–4

A: Gaussian quadrature rules evaluates the integral with higher accuracy. The three point Gaussian…

Q: A new spherical bacterial particle of radius 2.5 x 10-10 meters was discovered in the fossil.…

A: To find the diameter

Q: roblem : Find the value of 5z- dz, by Simpson's rd rule, using 8 subintervals, correct to four…

A: Using Simpsons 1/3 rd rule.

Q: Sketch the ve orite of Inctegration d equualent louble with the odev of initegraton. Inkegral with…

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Q: The general form of the integrand under the methods of discs is derived from a representation of the…

A: solutionGiventhe general form of the integrandunder the method of discs of itsderrived from a…

Q: Use L'Hopital's Rule need help with steps to solve.

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Q: 10

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Q: Solve The fotlowing integration using trigonometris subsitution

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Q: dor Find the selution and define the intenal at which Juntion s depine

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Q: 3x² dx

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Q: 10. Find, among all right circular cylinders of fixed volume V, the one with smallest surface area…

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Q: Use numerical integration (Trapezoidal method) to compute how much mass leaves a reactor based on…

A: To use the trapezoid method to determine the mass is leaves by the reactor using the given…

Q: 3 Reverse the or der of intagration and do not evaluate. xp hp 0, 3.3 Show the region.

A: To reverse the order of integration and do not evaluate.∫01∫x11y3+8 dy dx

Q: When using Simpson's rule we must having two distinct po.

A: Simpson Rule  Simpson Rule gives the area under the curve. One of the formulas used to find the…

Q: 2/ Reversing the order of integration fxsinydydx.

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Q: Evaluate the fellowing de firite integrils (*+) dx (१)

A: using these formula for solving the given integral

Q: the inde Integrai. dx Vx -8

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Q: (2x³ + 5x-4) dx

A: Solved below.

Q: Queston Ser x²-4 Composite Trapezoidal rule with n=4 3.1.1. use the to approximate integral. 3.1.2.…

A: Note:- For part (2), you don't mention method name so, i assume it Trapezoidal rule with n=3. If you…

Q: To prove L'Hopital's Rule for the case, you use what Theorem and what statement is a direct result…

A: For ∞∞ case, we can use the l'Hospital rule by taking the derivatives of numerator and denominator…

Q: The base radius and height of a right circular cone are measured as 10cm and 25cm, respectively,…

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Q: Solve bounday value prodlem s by Usng Shooty Method %3D

A: Given that, y''=y'+y+2 Then by numerical method, y'=y(xi+h)-y(xi)hy''=y(xi+h)-2y(xi)+y(xi-h)h2 Take…

Q: 3 +h (2x) dx By specifying the type of integr rol, examine it by its convegene explaining

A: We are given an improper integral of the first kind by the following.…

Q: Use two -point gaussian square to approximate the following double integral:

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Q: approximade the integra with, a-) Trape 20id Rule 6) simpson's Rule.

A: Given integral is ∫00.52x-4dx Take  ∫00.52x-4dx  =∫00.5fxdx Here, fx=2x-4

Q: Compute the integral by the adaptive trapezoidal quadrature method (must use the recursive for-…

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Q: find the bound for the propagated error in Volume of the triangular prism.

A: The volume of a triangular prism = 12a×c×h, where a and c are sides of the base and h is the height.…

Q: The edge of a cube was found to be 30 cm with a possibleerror in measurement of 0.1 cm. Use…

A: Let the length of the edge of a cube be x. Given data:

Q: TRC Prove that Cosh Z =Coshx Cosytisinh XSiny

A: We have to prove that  cosh z = cosh x cos y + i sinh x sin y  Using z= x + iy and cosh(a+b) =…

Q: Use Simpson's Rule to estimate the centroid of the region shown. yA 4 2 6 8 x 4.

A: The number of subintervals as n=8. Calculate the subintervals ∆x of the region:  ∆x=b-an…

Q: Each rear tire on an experimental airplane is supposed to be filled to of 40 pounds per square inch…

A: a) value of k: Given density function: f(x,y)=k(x2+y2), 30≤x≤50, 30≤y≤50 Consider,…

Q: sketch , EvValuate & reverse order af integration de dy

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Q: The diffakential equotion af Sc sinx after eleminating of the ar bitrary constant eis

A: The order of the differential equation is equal to the number of arbitrary constants. the given…

Q: Prove that the kronecker delta and Levi Civita Tensox of respectiely. Symbels 2 and are rank 3.

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