A paper drinking cup in the shape of a cone has a height of 10 centimeters and a diameter of 8 centimeters. Which of the following is closest to the volume of the cup in cubic centimeters?

Q: Prove that I = is not a prime ideal of Z[i].

A: Solution :-

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Q: Roundoff errors came from chopping infinite terms in a mathematical expression. True O Fabe

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Q: =At iteration i=3, b .2 f (x) = x³ – x – 2

A:

Q: Use Green's theorem to find the area integral if V(x.y) = (x²+y®)į+ (x²=y®\j¸ where C is a solid…

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Q: 5. Let A 3D, В %3 and C %3 Find a) (A · B)C b) А : (2С) c) ||B||2

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Q: Consider the following two matrices: -2 -1 1 0) C = 7 -1 D = 3 3 -2 1 Which of the following four…

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Q: 1. xy dx + (x²- 3y) dy = 0 ans. x'y = 2y + c

A:

Q: f(t) = t cos 4t 8s 8s А. (s² –16)? С. (s2+16)2 s2+16 В. (s2 –16)2 s2-16 D. (s²+16)²

A: To find the Laplace transformation.

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Q: If p = (u, v, w), show that Ipl < lul + |미 + |wl а. b. Ju| < \pl, ]v] < \pl, ]w] < \pl.

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Q: Compute log z dr 1+r² 3.

A: Given integral is  ∫0∞logx1+x2dx

Q: f(t) = t? cos 6t 2s(108-s?) А. (s2 -36)3 2s(s? -108) C. (s2-36)3 2s(108-s2) В. (s2+36)3 2s(s?-108)…

A: Given function f(t)=t2cos6t. We have to find the Laplace Transform. Formula will use 1.…

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Q: Question 6. Given a group (G, *) and a nonempty set S. Let GS denote the set of all mappings from…

A:

Q: Q1: A sketch of the graphs of two sinusoidal periodic functions ?(?) & ?(?) are shown below. The…

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Q: Let M1 F → F be a transformation defined by M1(f) mation? Justify your answer. (1² + 1)ƒ(t). %3D

A:

Q: f(t) = t cos 4t 8s 8s А. (s2-16)2 C. (s2+16)2 s2 +16 В. (s² –16)² s2-16 D. (s2+16)2

A: We have to find the Laplace transformation of ft=tcos4t

Q: Let (G, ) denote the set of all 2 x 2 real matrices A with det{A} 0 Question 5. and det { A} E Q…

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Q: Find all proper nontrivial subgroups of Z; × Z, x Z;. Find all subgroups of Z; x Z, of order 4.

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Q: Let S = {a+ bi |a, b e Z , b is even}. Show that S is a subring of Z[i], but not an ideal of Z[i].…

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Q: A Moving to another question will save this response. Quèstion 3 Evaluate : dz where C is the cirlce…

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Q: 5. Show that the functions x,x? -,x³ -x x are mutually orthogonal in the interval [-1,1].

A:

Q: Graph the inequality on a plane. X+ys3

A: Graph in xy-plane

Q: = cot-" (2), a > 0 sin at Prove that L() = cot™

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Q: • Exercise 2 Assuming that i) the sequence of functions {fn(x), x E [0, 2]} converges to f(x) in…

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Q: PROBLEM 12.3 Determine an approximate solution of the following BVP below using the Least Squares…

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Q: Use the integration theorem to show that Cos nx 효(72-3a2) =D Σ(-1)”-1! -T <x < T n2 n=1 and sin nx…

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Q: what is the argument f the Complex number -1-i ? a. 60° C. -45° b. 니7/3 d. -3 /u

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Q: what Is the conjugate of Js -J2i ? a. Jo -Joi d. -i b.Ja -ぶ

A:

Q: Find the Inverse Laplace Transform of 2+4s +4 B -21 te -12 2.

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Q: Show that F(x, y) = x² + 3y is not uniformly continuous on the whole plane.

A: Given that function F(x, y) =x2 +3y We have to show that it is not uniformly continuous on whole

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Q: 6° Szx dx t yay where L cs parabol y=-x(x-) arc

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Q: A graph has a. Vertices O b. edges O c. A function that tells which two vertices are connected by a…

A: Note: We will answer the first question only as the exact one is not specified. Please resubmit the…

Q: Solve the following initial value problem using Laplace transformation d?y + 8y = cos 2t with y(0) =…

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Q: Find the Laplace Transform of the following

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Q: Show thatI cos ve (-1/4s)

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Q: Since we have sin(r +y) sin(r) + sin(y), the function sin(r) is a linear transformation.

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Q: 8. If W = and V =, compute W x V.

A: To compute w*V from the given vectors.

Q: f(t) = te-6t 1 А. (s+6)2 1 C. (s-6)2 В. 720 D. (s-1)7

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Q: Compute the following limits using L'Hospital's rule if appropriate. Use INF to denote oo and MINF…

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Q: Example: Solve the following system of linear equations using Crout method. 1 1 -4 -1) x2 = (2 0 -1…

A: Given a system of linear equations                                                 4101-4-10-14…

Q: For finding the root of the function: f(x) = 3x – x² Do 2 steps of the bracketing method, given the…

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Q: Prove: If S is compact, and ƒ is continuous on S, then ƒ takes a minimum value some- where in S.

A:

Q: For the following boundary value problem, use the collocation method to determine a solution of the…

A: Collocation method is used to find the numerical solution of the ordinary differential equation.…