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Q: Let T be the solid bounded from the bottom by the surface z=4√x2+(y/5)2 and from the top x2+(y/5)2+(...

A: Given that T is a solid bounded from the bottom by the surface z=4x2+y52 and from the top x2+y52+z42...

Q: VIII.1. Let A = {1,2, 3, 4} and let R, S, T and U be the following relations: R= {(1,3), (3, 2), (2,...

A: Since you have posted multiple questions.. according to company rule we are suppose to give solution...

Q: Consider y" – 3y' + 2y = sin a. (a) cients (annihilators). Find the general solution using the metho...

A: Let us consider a differential equation y''+ay'+by=Q(x) has two solution y1, y2 then  Complementary ...

Q: ps U to B, if possible. Otherwise state th 2 -2 2 1 4

A: Introduction: A linear transformation is a function from one vector space to another that maintains ...

Q: Here are the numbers of children in 12 elementary school classes. 20, 20, 16, 18, 17, 18, 19, 16, 19...

A: Given that, The number of children in 12 elementary school classes are 20, 20, 16, 18, 17, 18, 19, 1...

Q: I. Apply the Division Algorithm on the following pairs of integers. 2. a = 46 and b= -21 %3D 3. a = ...

A: We should remember ,remainder  is always non-negative.

Q: 3. Use the fractal pattern to write the recursive and explicit formula. a What is the perimeter of e...

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Q: Solve 2x2 – 8x + 3 = 0 using quadratic formula method. Round off your answer to the nearest %D hundr...

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Q: Consider the curve C1 which is the intersection between the surfaces of equation (y - 2)2 = 4 - z an...

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Q: MODELING REAL LIFE The equation y = 20 represents the cost y (in dollars) for sending x text message...

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Q: lim (8n – 7n³-500) - 7n - – 500) %3D

A: Given limit is limn→∞8n-2-7n-3-500  

Q: Refer to the table. The data come from Wave 5 of the Arab Barometer survey in Kuwait and were collec...

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Q: A hospital has 200 nurses to be apportioned among four​ shifts: Shifts​ A, B,​ C, and D. The hospita...

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Q: 4. Let p be an odd prime, and a, b primitive roots mod p. Show that ab is not a primitive root mod p...

A: It is given that, p be an odd prime, and a and b primitive roots mod p.

Q: laplace transform

A: Given function is yt=3e-tcost-2cos2t-sin2t We need to find the Laplace Transform of the function.  

Q: If the roots of the equation ax²+bx +c = 0 be a and s and those of the equation b - 4ac Ax + Bx +C =...

A: Introduction :

Q: Define f : Rm \ {0} → R by ƒ(x) = T: Prove that f is uniformly continuous on R" \ B1(0), but not uni...

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Q: 2) Using the Lagrange remainder, which of the following gives the (lowest) upper bound on the error ...

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Q: 13-14 Express D as a region of type I and also as a region of type II. Then evaluate the double inte...

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Q: Consider the spreading of Covid-19 in a company of 200 employees. 10% of the employees have comorbid...

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Q: Differentiate the following functions w.r.t. x: (a) x* (b) cos (x*).

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Q: 11. , e-y dA, where D is the region bounded by the semi- circle x = V4 y2 and the y-axis licated, in...

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Q: Solve the ODE: 2 -2 -5

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Q: 39. Find the volume of the solid lying under the elliptic paraboloid x²/4 + y²/9 + z R = [-1, 1] × [...

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Q: Country Financial, a financial services company, uses surveys of adults age 18 and older to determin...

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Q: Weekly pocket expenses (in $) of 30 students of class VIII are: 37, 41, 39, 34, 71, 26, 56, 61, 58, ...

A: Introduction: The number of times an event or a worth happens is said as frequency. A frequency tabl...

Q: Evaluate the integral using integration by parts where possible. (Use C for the constant of integrat...

A: To find the value of the integral by integration by parts we consider a function is first function a...

Q: f(x,y)=xe*/2+275x²y³, then at (1,1) is equal to əx²əy³

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Q: 4. Let S = {x EN|3z ENA z? = x)). Let f : N → Sbe the function f(x) = x². Is f 1-1? Onto? Show why.

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Q: M- 04. The lateral surface area, S, of a cone is given by S = r/r2 + h? where r is the radius of the...

A: Let us find the radius of the cone using fixed point iteration in the next steps.

Q: Use the power series solution at xo = 0 to solve the differential equation 3y" (x) + xy'(x) + (x² + ...

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Q: Which of the following sets contains an irrational number? Select one: a. {-6, 0, 2, √16} b. {-3, ...

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Q: 5. Let r > 1 be an integer such that 2" + 1 is prime. Show that r = 2" for some non-negative integer...

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Q: Y – 5x |dA x + y 100 cos

A: We have to evaluate the double integral ∬ 100cosy-5xx+ydxdy over the region D where D is the triangl...

Q: Find all solutions mod 31 to the congruence x° = -5 (mod 31).

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Q: 1. Find the particular solution of the following initial-value problem. Show the steps of derivation...

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Q: 3. Consider f(x) = 5+4x is a bijection using the definition in class. Is f: Z-→ Z one-to- one? Is it...

A: Given that fx=5+4x where f:ℤ→ℤ. We have to check whether the function f defined in the question is b...

Q: Consider the set F=(-infinity, 1) U (9,infinity) as a subset of R with d(x,y)=abs(x-y). Is F open?

A: A set is open if and only if it contains all of its limit points. Also recall that the union of open...

Q: I. Apply the Division Algorithm on the following pairs of integers. 1. a = 35 and b= 14

A: Given Data: a=35 and b=14 Division Algorithm:    

Q: Determine whether the selection is a permutation, a combination, or neither. Mary baked 3 pies: 1 fo...

A: The answer is permutation.

Q: Topic: Laplace Transform (Convolution Theorem) By using LAPLACE TRANSFORM,  solve the following e...

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Q: Find the real root of the equation, x - 3x- 5 0 by the bisection method.

A: We will find out the required root.

Q: Interaction of two species of squirrels fiercely competing for the same ecological niche on an islan...

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Q: Problem 3. Prepare a 100 kg ration with 20% CP using corn bran (8.5% CP) and soybean meal (49% CP). ...

A: Given, prepare a 100 kg ration with 20% CP using corn bran (8.5% CP) soybean meal (49% CP). Allocate...

Q: eiSPlayerwindow=true:assignmentld%=3ee79ccd-.. #6 1 MODELING REAL LIFE The depth y (in inches) of a ...

A: It is given that, the depth (in inches) of a lake after years is represented by the equation y=0.2x ...

Q: l, arctan( y/x) dA, where R = {(x, y) |1<x° + y° < 4, 0 < y< x} %3D

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Q: Let A be a nonempty set and let f: A -> A be a function. Prove that if fof = iA, then f is bijective...

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Q: disk

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Q: 1 (s + V2)(s – V3)

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Q: Find the recurrence relation between the coefficents for the power series solutions to the following...

A: 1. Given DE is  y"+xy'+2y=0......(1) Also given x0=0. We find the recurrence relation between the co...