If the volume of the region bounded above by z = a²-x² - y2, below by the xy-plane, and lying outside x² + y² = 1 is 32 units3 and a > 1, then a =? 22.

Q: Find the value of∞ If the approximation of the integral f f(x) dx by trapezoidal method is given by,…

A: We have to use the trapezoidal formula to approximation of integral  ∫01f(x)dxThe approximate value…

Q: 3. In the last homework assignment, you computed the volume of the solid obtained by rotating the…

A: We will use the basic knowledge of integral calculus to answer this question correctly and…

Q: 5. Use Linear Approximation to estimate e(-0.01). Provide your answer in 2 decimal places. Do not…

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Q: Consider y' - 2y = 3e2x with y(0) = 2. Using Runge-Kutta method with h=0.1, find the relative error…

A: The given differential equation is : y'-2y=3e2x with y(0)=2. h=0.1.  To find: Relative Error on…

Q: 5. Use Linear Approximation to estimate e(-0.01). Provide your answer in 2 decimal places. Do not…

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Q: Obtain the general solution unless otherwise instructed . (D² − 3D + 2)y = e²x(1 + e²x) −¹ Yc = Ур =…

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Q: Let B=Qn (0, 1) be a subset of R. Consider a function f: N→ B defined by f(n) = an where an nEN. (a)…

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Q: Consider y' - 2y = 3e²x with y(0) = 2. Using Runge-Kutta method with h=0.1, find the relative error…

A: We can solve this using given information and relative error

Q: Find a Möbius transformation which maps the region outside the unit circle onto the left- half…

A: We have to find a Mo¨bius transformation which maps the region outside the unit circle onto the…

Q: Question 1 Evaluate the following integrals using residue theorem: (a) L (2² +9) (1 dz (x²+9)(x²+4)²…

A: You have explicitly written on the top of your question post that you want only Question 1 to be…

Q: Suppose the slope of the tangent line at any point on a curve is curve passes thru (1,3),…

A: We will find approximate value of y at required point  and then find  slope of tangent line . Using…

Q: (ii) Consider the following reduced row-echelon form matrix: 1 2 0 4 0 5 001206 00001 7, Assuming…

A: Solution

Q: If I is the area of an n sided regular polygon inscribed i circumscribing the given circle, find the…

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Q: Consider xy' = y(lnx-lny) with y(1) = 4. Using Runge-Kutta method with h=0.1, the k² in the…

A: given equation  xy'=ylnx-lny with initial conditions y1=4 using Runge Kutta method with h=0.1 , the…

Q: f(t): = 1; 0 2

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Q: The condition that the roots of the equation x³ - px²+qx-r=0 may be in harmonic progression is (a)…

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Q: At least 2 each of Line Parabola Absolute value At least 1 each of Circle Ellipse Hyperbola

A: We will use the basic knowledge of 2-D coordinate geometry to answer both the parts of this question…

Q: solve the following differential equation using modified Euler's and 4th order RK method. a.…

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Q: 10. Let R, S be rings with I, J their respective ideals and prove that I x J is an ideal of the ring…

A: Let R and S be two rings. We consider the product R×S. It is a ring with operations of sum and…

Q: By using Laplace transform to solve y - y = sin(2t) with y (0) = 1, what would the particular…

A: The solution is given as

Q: Solve the differential equation

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Q: When approximating f(x) dx using Romberg integration, R4,4 gives an approximation of order:

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Q: 10. In one of the videos from the discussion thread, it talked about doing a transformation T: R² →…

A: Given,  by  for solution(a): column-1  column-2  solution(b): Start from forming a new matrix by…

Q: Choose all the answers below that are impossible. There may be zero, one, or more impossible…

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Q: 2) Use o polar integral to find the area enclosed by the three - petaled rose r = singe

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Q: If the Suppose the slope of the tangent line at any point on a curve is x2+4y² curve passes thru…

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Q: 16. Let f: R S be a ring homomorphism with J an ideal of S. Define I= {r ER| f(r) € J} and prove…

A: Given :  f : R →S be a ring homomorphism with J an ideal of S. To prove :  I = r∈R : f(r)∈J  is an…

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Q: Consider xy' = y(lnx-lny) with y(1) = 4. Using Runge-Kutta method with h=0.1, approximate y '(1.3).…

A: For a differential equation of the form: y'=f(x,y), RK-4 method uses the following equations to…

Q: 2 ecos cos(send) 0 5-4 cos(6) Jo -do = 2π € 500 cos cos(sen)

A: We have to use the integral of the solution of the Dirichlet problem on the disk of radius r to…

Q: Consider the following lines. r(t) = (3t+3,5t +4, 5t+5), for -∞0<t<∞0 R(s) = (s+2, 2s+2, -5s + 10),…

A: Introduction: Like two dimensional geometry, a line can also be represented in three dimensional…

Q: (e²t - e-2) ² 1 + S- 4 S Option 3 None of the choices 1 2 S 4 Option 2 S 1 s+4 1 s+4 32 s(s² - 16)…

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Q: A 60° 30° Name! Section: 30 m ACTIVITY (SPECIAL RIGHT TRIANGLES) Identification: Answer the…

A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

Q: Let R be the set of real numbers equipped with the standard topology. Let A and B be two subsets of…

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Q: ANSWER IN A CLEAN SHEET OF BOND PAPER (HANDWRITTEN). SHOW COMPLETE AND CORRECT SOLUTIONS IN…

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Q: Find the volume of the tetrahedr my+nz = C nz+lx=0 Ix+my=0) x+my+na

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Q: The centroid of the area bounded by the parabola y^2 = 4ax and the line x = p coincides with the…

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Q: -1 -1 6s-5 4s²+7] 3s-2 s²+8s+25]

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Q: There was no final solution

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Q: Suppose that you have 3 and 8 cent stamps, how much postage can you create using these stamps? Prove…

A: We shall show that every postage &gt;=14 can be created using 3 and 8 cent stamps. And then deduce…

Q: A triangle is inscribed in a rectangular hyperbola such that the tangent at one of the vertices is…

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Q: Consider xy' = y(lnx-lny) with y(1) = 4. Using Runge-Kutta method with h-0.1, approximate y '(1.3).…

A: option c is correct i.e. (c) -1.92711

Q: Which test(s) could be used to 3√√n determine if the series Σ 4+n n=1 converges or diverges? Select…

A: The given series is ∑n=1∞n34+n To find: the given series converges or not.

Q: Consider xy' = y(lnx-lny) with y(1) = 4. Using Runge-Kutta method with h=0.1, the k3 in the…

A: The given differential equation is: y'=y(lnx-lny)x., y(1)=4. and h=0.1. Given: k3 is in the form…

Q: Let X be a continuous R.V. with gaussian distribution, i.e. X-N(μ,o^2 )=N(1000,2500). (1) Find the…

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Q: 12 Two towers AB and PQ stand on level ground. The angles of elevation of the top of the taller…

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Q: B. Find the area of the region bounded by the following: 18. common to 7 = 3 cos and r=1+ cos

A: 18. The given curves are r=3cosθ and r=1+cosθ. To find: The area under the curves . Please post the…

Q: 5. Evaluate the following indefinite integrals. 8. **** Power 2 ...... sin.x dx. b-₁f.co₂x² dx…

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Q: Thinking only about the most natural series to compare, which of the following series diverge(s)…

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