Find the volume of the solid enclosed by y = x² + 1, y = 9 – x² and rotated about the y-axis.

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Q: Calculate FdV where F = 2i+2z j+yk and V is a space bounded by z=0, z = 4 and x² + y² = 9.

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Q: 1. Modified TRUE or FALSE. Write Tolits if statement is true and Tol if statement is false. For…

A: 7. False  Since Modus tolens is a low of inference.

Q: I. Modified TRUE or FALSE. Write Tolits if statement is true and Tol if statement is false. For…

A: 1. True (or) Tdits because  the set of all sets is also a set  example: {a},{b},{c} be any sets then…

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Q: I. Modified TRUE or FALSE. Write Tolits if statement is true and Tol if statement is false. For…

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A: 1. Given f(v) = 1-101v⇒ f(3, -2) = 1-101-3-2 = (-3+2, -2) = (-1, -2) Hence Answer: None of these

Q: Which of the following is the graph of the placewise function f(x) for x≤0 for x>0

A: Sol:- Some information about above function :- Domain of  -e-x:x≤ 0, x2+x-6x2+2x-3:x>0 :…

Q: I. Modified TRUE or FALSE. Write Tolits if statement is true and Tol if statement is false. For…

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Q: I. Modified TRUE or FALSE. Write Tolits if statement is true and Tol if statement is false. For…

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Q: 4. What is the length of the latus rectum of the ellipse whose equation is ²+ <= 1. 25 16

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Q: x² e¹7x dx l 2 [x²e

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Q: Let (Un) be a sequence of open sets in R then a) U₁is open, b) nis open.

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Q: Solve the initial value problem y" - 5y' - 36y = 0, y(0) = a, y'(0) = −32. Find a so that the…

A: Here given the differential equation as y''-5y'-36y=0 or D2-5D-36y=0    ........(1) where D=ddt

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Q: Find the Wronskian of two solutions of the differential equation t²y" — t(t − 2)y' + (t − 5)y = 0…

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Q: -** Find the solution set in c Z² + 2i(32i) = 3Z

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Q: Consider the points A=(1,2,3), B=(-2,1,0), and C=(0,3,1). (a)Sketch a graph of the vector BA with…

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Q: Let z = exsec y Find d²z dxdy and d²z dydx

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Q: I. Modified TRUE or FALSE. Write Tolits if statement is true and Tol if statement is false. For…

A: 7. False  Because Modus tolens is a law of inference.

Q: 21. a. Find a homogeneous linear system of two equations in three unknowns whose solution space…

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Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

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Q: eters high. If the tank is 16 meters of the tank is 10 meters above the tank so that the truck can…

A: Given, Span= 24 meters, Height= 20 meters.

Q: Evaluate line integral I=∫_c▒〖x^3 ydx+(x+2y)dy〗 over a part of parabola y=x^2 from (0,0) to (1,1) by…

A: Introduction: The line integral is an integral when the integral is performed along a curve or a…

Q: 5. Use spectral decomposition to orthogonally diagonalize the matrix A = 5 10 {]. 5

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Q: (B): If A = 2t + 3j-4k; B=3i-4j+5k and C=i+j-k, find: (1)Ã.B (u)B.C (U)Ã. (B+C)and (A + B). (iv)…

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Q: Solution by Diagonalization: In Problem below, find the general solution of the given ystem. X'=

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Q: (a) / Use the Shell Method to find the volume of the solid generated by revolving the region bounded…

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Q: Convert the following binary numbers to hexadecimal: 33. 1111 10012 34. 1010 00112 35. 0001 11112…

A: Sol: (33) 1111  10012 = F916Starting from the least significant bit, we partition the binary number…

Q: Use the Laplace transform to solve the initial-value problem y' + 3y = 13 sin2t, y(0) = 6

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Q: Write a polynomial f(x) that satisfies the given conditions. Express the polynomial with the lowest…

A: The required polynomial has zeros 5-9i and 0 with multiplicity 4. Find the required polynomial…

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Q: F(s) = 4-10S s3-6s2+11s-66

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Q: Enter the answer in the space provided. The table displays values of a linear function. 1 4 4/5 3 0…

A: Introduction: The slope of the line is the tangent of the acute angle that is formed by the line…

Q: Complete the following steps for the given function, interval, and value of n. a. Sketch the graph…

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Q: • Compute for the value of constant (C) by solving the given DE using integrable combination. Let x=…

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Q: 2. ㅠ to Suppose g(x) 4* = 1 (1+x²)²* the average value of f(x) on the interval [-1, 1] is equal 1 +…

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Q: Convert the given i-system to an e-system using slack variables. Then construct a table of all basic…

A: We find correct answer by adding slack variable.

Q: Question 1 a) Find the value(s) of y such that the vectors U₁ = and u₂ = are parallel. - b) Find…

A: a) Find the values of y such that the vectors u1=-6, -5, 5 and u2=-18, y, 15 are parallel. Two…