2. Find the center of mass of the lamina in Exercise 11 if the density at any point is proportional to the square of its distance from the origin.

Q: 7. Determine which of the following functions are differentiable at all the z-plane or some region…

A: Given : (a) f(z) = x2+y2 + i 2xy            (b) f(z) = z-(2+i)2 To find :  To determine the region…

Q: Determine the Fourier series representation of the given periodic function: st - 1, f(t) = -π<t<0 0…

A:

Q: ✦ x − ¹ ₁ − (x − ¹)²¸ 2 (x − 1)³₁ −6 (x − 1)ª 24 (x − 1)5 + + + + + 3! 5! 720 (x − 1)² −5040 (x −…

A: Taylor series of f(x)

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Q: Solve the integro-differential equation

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Q: 1. Determine the half-range cosine expansion of the given periodic function: t, f(t) = {₁-t₁ 0<t<π/2…

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A: Solution

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Q: Approximate the integral of f(x) = x² - 2x + 4 with the following unequally spaced points shown in…

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Q: WRITE IN HAND   Determine if the given lines are parallel, perpendicular, or neither: ?: 2? + 3? =…

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Q: 7. Let B₁, be the set of bitstrings of length n. Describe a bijection f: P({1,2,...,n}) → B₁.

A: The idea is to look at the indicator function of a given set. The detailed solution is presented as…

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A:

Q: Please don't post this question on google 10 Given the polar equation r = 5-2 sin 8 a. find the…

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

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Q: From a point P on a rectangular hyper hyperbola at A and B. Show that the a constant, independent of…

A:

Q: 10 Given the polar equation r= 5-2 sin 8 a. find the eccentricity and identify the type of conic; b.…

A: given the polar equation r=105-2sinθ (a) find the eccentricity and identify the type of conic. (b)…

Q: If the L[ e atsin2t] = a/( s² + bs + 74), determine the value of b.

A: Solution

Q: Are the Following Vectors Linearly Dependent or Independent? (3,-2,0,4),(5,0,0,1),(-6,1,0,1),…

A: Vectors v1, v2, v3,..........vn are linearly independent if for scalars c1, c2, c3,.........,cn such…

Q: sketch the surface 2² 16 11 -1

A: Given:x29+y24-z216 = -1

Q: 3. Determine a(1.9), a(2.7). t 1.3 1.8 a(t) 1.1 2.5 2.3 3.1 3 4.2 3.8 5.1

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Q: Examine the continuity of f(z) = 2-√z+4 Z at z = 0

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Q: * Find y w.xy. Given z = Option 1 Option 3 Zy = -y-² Zy= -2y-2 Zy = y ² Option 2 none of the above

A:

Q: Example 9.6 A square of 6 ft sides is to be subdivided into three equal parts by two straight lines…

A: Given figure is  where parallel lines EF and GH divides the square ABCD in three equal parts. Let…

Q: Evaluate the triple integral (* + 1y) dV where E is bounded by the parabolic cylinder y = 32² and…

A: We have to find the triple integral  ∫∫∫E(x+y)dVwhere E is bounded by the parabolic cylinder y=3x2…

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A:

Q: Q23. Find the maximal ideals of Z6.

A: We have to find the maximal ideals of  ℤ6.

Q: 7. Suppose that f=u+ie is analytic and not identically constant. a) Show that ue is the real part of…

A: Given :  f = u + i v  is analytic and not identically constant. To show :  (a) uv  is the real part…

Q: Determine the Fourier integral representation of the given function: t, f(t) = {1, 0<t <3 otherwise

A:

Q: If the angle at which the radius vector cuts the 2 √₁²- 1 a -1 a curve 0 = = - COS 1 be , ther a r…

A: As the radius vector cuts the curve at a angle of ϕ, so this angle is between the radius vector and…

Q: 5- X dy + y dx = x cosx dx

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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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: Given (1 + 3x sin y) dx - x² cos y dy=0 with y(1) = 0. Using Euler or Runge - Kutta method, what is…

A:

Q: 11 In this question, take the number n of stages of a binomial variable X~ B(n, p) to be fixed, and…

A: Solution : For solution of d, e we take  direct results of binomial distribution. for…

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Q: X dy + y dx = x cosx dx

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: In a AABC, suppose that Find the angles of the triangle. cos Acos B cos C=V

A:

Q: ܢܣ

A:

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

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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: Define the fibonacci numbers by f(0) = 0; f(1) = 1; and then recursively for natural numbers n ≥ 2…

A: Solution : a) 1 , 1 , 2 , 3 , 5 , 8 , 13 b) lets check above Fibonacci series their is even coming…

Q: Consider xy' = y(lnx - Iny) with y(1) = 4. Using Runge-Kutta method with h=0.1, the k₁ in the…

A: The given O.D.E is xy'=ylnx-lny with y1=4. To find: the value of A.

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

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Q: Karl invested his savings in a short-term fund that was offering a simple interest rate of 4% p.a.…

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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: X dy + y dx = x cosx dx

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: In this module you have worked with many different trigonometric identities. These identities can be…

A: We will use half angle formula to find length and height

Q: pls solve this ques with both subparts needed urgently will give you many upvotes

A: