Find the volume of the given right prism. The volume of the right prism is approximately (Round to the nearest hundred as needed.) 12 cm 23 cm 220 cm 62 cm

Q: Take the system z' = 6+6x+xy, y = -8y + 1. How many critical points are there? Take the critical…

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Q: Volume of the slice, then the Mass of the slice, the Force needed to lift it, and the Work needed to…

A: Volume: Volume of this slice = πr2dhMass:Mass of this slice = Volume of slice Density of waterForce…

Q: 3 Integrate f(x,y,z) = x + √√y - z³ over the path from (0,0,0) to (3,9,3) given by C₁: r(t) = ti +…

A: The given function is,Let,Also the given paths are,So,

Q: Let I be an ideal of a ring R. Prove that R/I is commutative if and only if ab-ba EI for any a, b €…

A: Let I be an ideal of a ring R. We are to prove that R/I is commutative if and only if ab-ba belongs…

Q: 5. Let p be a prime number and let Fp denote the field with p elements, Fp = {0, 1,..., p-1},…

A: 5. Let p be a prime number and let  denote the field with p elements, , equipped with the operations…

Q: Bella types at a constant rate of 42 words per minute. Is the number of words she can type…

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Q: fin the values of p for which the series converges. The series is: the sum from n=1 to infinity of…

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Q: Solve the following problem and show your complete solutions. 2. Find the area bounded by x = 1 +…

A: We have two equation x=1+y2 and x=10We have to find the area bounded by these two lines.

Q: -34 -4 22 3-5 2 game (a) Find the expected payoff to the row player if the row player R uses the…

A: (a) From the Payoff matrix for row player minimum  elements in R1 is -3 ie 2nd elementR2 is -4 ie…

Q: A tank pe of an inverted cone (with the point at the bottom). The cone has a diameter of 6 m and a…

A: Volume: Volume of this slice = πr2dhMass:Mass of this slice = Volume of slice Density of waterForce…

Q: Z is a subring of the field of real numbers.

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Q: 15. In the following figure, two poles are 25 m and 15 m high. A cable 14 m long joins the tops of…

A: We use pythagoras theorem to find the distance between two poles.

Q: The temperature of a metal plate is given by T(x, y) = e" cosx. Find quadratic and cubic…

A: The temperature of a metal plate is given by .We need to find quadratic and cubic approximations of…

Q: A bank has 3 counter desks and a very large waiting lounge (assume infinite queue). Customers arrive…

A: In an M/M/c queuing system with three counter desks, customers arrive with a mean rate of per hour,…

Q: 1. Find the radius of converg Σ (x+2)" a=2 n=1 lim lantis-pie (a) 1 n2n

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Q: PAST PRACTICE EXERCISES

A: The objective of this question is to find the expression for the marginal rate of technical…

Q: 9 at the same vertex. Example: ABCA Find any Hamiltonian circuit on the graph above. Give your…

A: A Hamiltonian circuit is a cycle which passes through all the vertices of the graph exactly…

Q: Can you explain this again. The handwriting is not clear.Thank you

A: Order of element is the least positive integer satisfying an=e

Q: (a) Prove that 318 = q (mod 19).

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Q: 26 Consider the matrix A = 0 5 Compute A" for any integer n. O -2 4

A: The objective of this question is to compute the power of a given matrix A for any integer n. The…

Q: write fdA as an iterated integral in polar coordinates. -4

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Q: F(x) = F(x) = √5 + sec (31)dt | Hint: F(x)=√5 + sec (38)dt = -- √5 + sec (31) dt) -

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Q: 1. Let A = -7 0 -8 54 -3 0 9 5 (a) Compute the characteristic polynomial for A. (b) Determine all…

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Q: Consider the initial value problem y' = y√t with initial condition y(0) 1.3. = 1.3. Round your Use…

A: We have givenInitial condition:

Q: SUBJECT: OPERATION RESEARCH Bevco manufactures an orange flavored soft drink called Oranj by…

A: Given information:Bevco manufactures an orange-flavored soft drink called Oranj.Oranj is made by…

Q: Prove that 2 is not a primitive root modulo 31.

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Q: Let R be the region between the graphs of y = 1 + cos(x) and y=x² x = 1. Set up, but do not…

A: For a given region R we have to find an integral expression  for volume generated when R is rotated…

Q: Integrate f over the given curve. *xy)-y-₁0x52 C:y= X f(x,y) ff(x,y)ds:

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: Suppose f : A →→ B is an injective function. Show that there is a function g : B→ A such that gof=…

A: Let's prove this statement step by step. Want to show that for any injective function f:A→B, there…

Q: etermine the matrix that corresponds to the quadratic form and classify the quadratic form:…

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Q: find the vertex and b) determine whether parabola opens up or down

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Q: Exercise 11.3.5 Let 3200 2 5 1 0 0 1 3 1 00 13 and consider the vector space R4 with the inner…

A: Let .Consider the vector space  with inner product given by .Let .Let .We need to find an orthogonal…

Q: Prove that the order of 3 modulo 19 is a divisor of 18.

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Q: What is the general form of the particular solution of the linear nonhomogeneous recurrence relation…

A: Given nonhomogeneous equation isan=−6an−1−8an−2+F(n)Then the corresponding homogeneous equation…

Q: 6.3.16 Let y = 15 -1 2 , V₁ = ,and V₂ 5 1 . Find the distance from y to the subspace W of R4 spanned…

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Q: Find the projection of v onto u. ----[-] V= proj(v) U= Draw a sketch. -5 proj(v) -4 -3 -2 -1 8 1 -3…

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Q: Let a : V → V be a diagonalisable linear map where V is a vector space of dimension 4 over the field…

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Q: Find the most general real-valued solution to the linear system of differential equations a' = T1(t)…

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Q: The columns of Q were obtained by applying the Gram-Schmidt process to the columns of A. Find an…

A: We have We have to find the QR decomposition of A.

Q: Consider the following proposed​ plan:   Quarter Demand ​(hours) Workforce Hires Layoffs Overtime…

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Q: RYGDON 20 X-2=2 2x+y=-7 5x+y -22=-5 Fuse A- to solve System the given linear

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Q: Find the general solution of the differential equation Answer: y = c where m= C₂ = Cn = n-m C₁ if n…

A: Given differential equation isx2y″+xy′+(4x2−4)y=0Rewrite the equation asy″+1xy′+4x2−4x2y=0Let…

Q: The matrix has eigenvalues -5, 11, and 4. Find its eigenvectors. The eigenvalue -5 has associated…

A: and eigenvalues are  and .We have to find the eigenvectors.

Q: Determine whether the following series converge. You do not need to calculate their values. IM8 (-1)…

A: Determine whether the following series converge.

Q: e differences in the average velocities (inc

A: The differences in the velocities for the three temperatures: As the temperature increases, the…

Q: Find the characteristic polynomial and the eigenvalues of the matrix. 75 -6 6 The characteristic…

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Q: 10. Find the volume of the part of the unit ball that lies above the cone x² + y² = 3x².

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Q: 6. What is the growth rate r of the following exponential function? f(t) = 0.03 (2)' A) 0.03% B) 3%…

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Q: A password for a computer system consists of five characters. Each character must be a digit or a…

A: The objective of this question is to find out the total number of possible passwords that can be…

Q: Compute the line integral of f (x, y, z) = x^2 + y^2 − cos(z) over the following paths (a) the line…

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