same pentagonal base as the pyramid, what is the volume of the prism? Round your answer to one decimal agonal based pyramid is 304 ft. If a prism has the same height and the place if needed.

Q: v1 = (-2, 3, 6) v2 = (4, 5, -1) v3 = (3, 3, 0)

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Q: Determine the effective annual yield for each investment. Then select the better investment. 14%…

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Q: (a) (b) m=0 11=0 (-1)" vn+1 (-1)" √√n+1 元+1 n²-3n+1

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Q: Use A = {5, 6, 7, 8, 9} and B = {3, 6, 7, 8} to find the set An B.

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Q: K Let f(x)=3-x² and let a=-3. Complete parts (a) through (d) below. a. Find the linear approximation…

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Q: H 22. D is the relation defined on Z as follows: For all m, n = Z, m Dn ⇒ 3/(m²-n²).

A: A relation S is said to be an equivalence relation on set A if it is reflexive, symmetric and…

Q: second and thrid answer are incorrect

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Q: (a) From first principles, find To(x), the Taylor series expansion of (1-x)-¹ about x = 0. Include…

A: fx=1-x-1

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Q: Compute ae in (Z/n)* using only multiplication and division for the following a, e, n: (a) a = 10…

A: For (a), We are given that a=10, e=5, and n=9350647. Here, we will be computing ae! in (ℤ/n)× using…

Q: Suppose p and o are relations defined on S = {1, 2, 3, 4} by the sets p = {(2, 2), (3, 2), (3, 4),…

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Q: Suppose that a ball is thrown from the top of a 44-foot building. The function h(t) = - 16t2 + 80t…

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Q: (t+3)y' + In(t-2)y= 6t, y(10) = 5 Find the interval in which the solution of the initial value…

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Q: 8) Determine £{f(t)). The positive curves of the following graph represent sin t. f(t) * t π 2π 3π V…

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Q: Consider the following graph. (Click on graph to enlarge) The graph of f(x) is blue and the graph of…

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Q: •L₁ f(x) dx (e) 18 Use three rectangles with right endpoints to approximate (a) 6 (b) 12 (c) 16 (d)…

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Q: 1. Use a change of variables to evaluate ſc ¡f cos(x) dA where R is trapezoidal region with vertices…

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Q: (d) (Still: the function f is given by f(x) = = ¹/²+x-¹/².) Sketch the g Compute all necessary…

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Q: 25yk+2-10yk+1+yk = 1-2k, yo = 1, y₁=2

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Q: There are 3 books of mathematics literature. How many different coll that each collection consists…

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Q: 3. Let A and B be groups. Show that S := {(a, e) | a € A} is a normal subgroup of G:= A x B and the…

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Q: 1-) Let M = {(x,y)| (x-3)² + (y + 2)² = 4 and x,y ER}. Define an atlas for M.

A: M==x,y∈ℝ|x-32+y+22=4

Q: Integral Representation r(c) Г(В)Г(c-b) Jo -2 F₁ (a, b; c; x) = for F, : ¹ (1 - ₁)¤-b-¹ (1-x₁)¯ª di…

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Q: Use Green's Theorem to evaluate F So = (√x + 4y, 3x + 4y) and C is the boundary of the region…

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Q: Let Po, P₁, and p2 be the orthogonal polynomials described below, where the inner product on P4 is…

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Q: in different toys have to be distributed among n chi the number of ways in which these toys can be…

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Q: Given the equation ƒ = (2-²) (z+y)" (32-w²) (z+y) where d=10.55±1.49 -W y=3.21±0.26 and 2 =…

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Q: a) Let R and S be relations on the set A = {1, 2, 3} represented by the matrices [1 0 11 [1 01 0 0 1…

A: Since you have posted multiple questions, we will provide the solution only to the specified sub…

Q: The given contingency table lists the cross tabulation of whether adults, for whom answering the…

A: Life clarification  Males(M) Females(F) Total Exciting(E) 448 513 961 Routine(R) 352 477 829…

Q: i) Find the value of a for the system and determine whether it has a trivial or nontrivial solution.…

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Q: 2 dx dy 2 2 4+x +y -√√² √√4-y² So

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Q: 5. Find an orthonormal basis for the subspace (x1, x2, x3, x4) = a(1, 1,-1, 1) + b(3, 1,-1, 3) +…

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Q: 0 There do not exist 2 × 2 matrices E, F with rank(E)=rank(F) = 2 such that EF = (88) 00 Select…

A: Recall the Sylvester's Rank Inequality: Let A be m×n matrix and B be n×p matrix. Then Rank(A) +…

Q: Evaluate ♫ xds, where S is the portion of the plane with vertices (2, 0, 0), (2, 4, 0) and (0, 0,…

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Q: There are 3 books of mathematics, 4 of science, and 5 of literature. How many different collections…

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Q: Use Green's Theorem to evaluate: LF F.n ds where F = (√x + 4y, 3x + 4y) and C is the boundary of the…

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Q: Use Green's Theorem to evaluate F = (√x + 4y, 3x + 4y) [F F.ñ ds, where and C is the boundary of the…

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Q: Let U = List the members of the set X'nY', using set braces. {a,b,c,d,e,f,8,9,10,11,12,13}, X =…

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Q: uu, + x-y x + y uu, = x² + y² x + y

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Q: 2. Show that the nullspace of AT A is also the nullspace of A. TI 2 " T

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Q: Consider the following second-order differential equation. 3y" + 2y' + y = 0 Find all the roots of…

A: The given equation is:3y11+2y1+y=0                                 ⇒(3D2+2D+1)y=0_____(1)Auxiliary…

Q: Find the connected components of this graph and illustrate your method. F H

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Q: Evaluate the series > k=2 (-2)k+1 32k-1

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Q: 7 The probability that a bachelor's degree recipient in 2014 majored in biology is 20 Find the odds…

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Q: 9) Test the series for convergence or divergence. 2 (-1)^(2n+6) 5nt5 n=11 Identify bn = 2 Evaluate…

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