. limx→∞ f (x) = limx→∞ sin(x) · limx→∞(√√x + 2 − √√x)

Q: Use the divergence theorem to compute the flux integral 7. ds where it is the outward pointing unit…

A: and is the surface of the unit ball

Q: Find the derivative of the function. y'(x) = y = *sin(x) Jcos(x) In(3 + 5v) dv

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Q: x"(t) + 2x(t) − y'(t) = 2t +5 x' (t) − x(t) + y' (t) + y(t) = −2t −1 when : x(0) = 3, x'(0) = 0,…

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

Q: Part II. Writing the equation d² dt2 in the form of the system dx d dt (c) (d) (e) = V, = x³ + x², X…

A: To solve part(b)., we need part(a) , that's why I am providing the solution of the fisrt two…

Q: The area of the region that lies to the right of the y-axis and to the left of the parabola x=6y-y²…

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Q: Use the rational zeros theorem to find all the real zeros of the polynomial function. Use the zeros…

A: The rational zero theorem states that if any rational root of a polynomial is expressed as a…

Q: restaurant is being built on the side of a mountain, the plans are shown below. (a) The vertical…

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Q: Use simplex method to solve the following Linear Programming (LP) problem. Maximize Z=4X₁ +8X₂ +6X3…

A: First two constraints are less than type so adding slack variables s1,s2 with these constraints.…

Q: 1. Find the surface area of each of the following: A 4 cm (a) Cube 4 cm 4 cm 6 cm 12 cm Right…

A: To find the surface area of the shapes given.A cube of side  cm.A right circular cylinder of height…

Q: (i) For what x-values is 300(1.1)* > 200(1.2)*? 300(1.1)* > 200(1.2)* when x Sv i (ii) For what…

A: We shall use the basic inequality of logarithms.

Q: 4. For the following two functions f and g, determine go f and fog. f: R → R X →sin (3x) 9: R → R X…

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Q: Evaluate the integral 3 √√9-x² √√9-x² ! 0 0 3 √√9-x² √√9-x² 177. 0 0 0 0 dz dy dx = dz dy dx. (Type…

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Q: 2. Using the sequence z n, show that (R, d) is not a compact space. 3. Deduce.

A: A compact metric space is also sequentially compact metric space.Sequentially compact metric space…

Q: Follow the steps for graphing a rational function to graph the function F(x)= x² +7x-8 x+2 OC. The…

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Q: (a) How many integers from 1 through 1,000 are multiples of 8 or multiples of 9? 164 X (b) Suppose…

A: The objective of the question is to find out the number of integers from 1 through 1000 that are…

Q: 6. Given tan (0 - 450) = 4, find tan 0. D

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Q: Which of the following functions from Z → R are partial functions, rather than total functions?…

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Q: You are holding one red sock. In your sock drawer are 4 blue socks, 2 green socks, 8 white socks,…

A: We are given that, in a socks drawer Number of blue socks = 4 Number of green socks = 2 Number of…

Q: Write the system given system of differential equation in matrix form. Y₁' = 3y₁ + y2 + 3 sin(4x) Y2…

A: Given, system of differential equations,

Q: Jane invest R8000 at an annual interest rate of 6% continuously compounded annually. how much will…

A: Here in this question we have to find how much will her investment be worth after 5 years. where the…

Q: 29 Desde un cierto punto, que dista 20 m del pie de una torre de 10 m de altura, vemos el punto más…

A: This is height & distance problem. We use the trigonometric identity relation of tan(x).

Q: 3. Suppose that A, B C R2. (a) If A and B are homeomorphic, are A and B homeomorphic? (b) If A and B…

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Q: Find the distance between the points whose coordinates are given (48,32),(44,20) Although i do know…

A: Find the distance between the points whose coordinates are given (48,32),(44,20)

Q: a ן3 ). ח

A: According to Bartleby guidelines I have solved first three parts

Q: 9. Which is the better buy: a grapefruit 5 cm in radius that costs 22 cents or a grapefruit 6 cm in…

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Q: PLease don't provide handwritten solution.....   A 100 gram rope is stretched downwards at a…

A: We have to Calculate the wave equation if the rope is homogeneous with an elasticity coefficient of…

Q: Write the following set by listing its elements explicitly between curly braces: {x|x€z and…

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Q: 23. f(x) x + 1 at 1, (1, 2

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Q: 5. Find the volume of the box with length a, width b and height h by setting f (x, y) = 1 and = SSS…

A: We have to find the Volume of the box with length a, width b and height h by setting  and…

Q: Let f be Continuous on the interval [0,1] to IR and such that f(0) = F(1). Prove that there exists a…

A: This follows immediately from the intermediate value theorem.

Q: 4. The behavior of the system is a sink, or a stable node. x' = x + y, y' = x + 2y

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Q: At least one of the answers above is NOT correct. The system of first order differential equations:…

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Q: Match the following series with the series below in which you can compare using the Limit Comparison…

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Q: Problem #10: Consider the following differential equation, (x² − 9)² y" + (x + 3)(x — 7) y' – (x +…

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Q: Use the Laplace transform to solve the following initial value problem: y" +10y' +25y = 0 y(0) = -1,…

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Q: Evaluate the following integral in spherical coordinates. SSS (x² + y² +2²) ¹/2 dV; D is the unit…

A: ;  is the unit ball centered at the origin.We have to set the given integral and then evaluate.

Q: Consider the following system of coupled initial value problems: = = -2y + 5e-t y(0) = 3 dt =-yz²/2…

A: Given information:System of coupled initial value problems:To find:The value of  at .Concept…

Q: Given the directed graph: H A B G F E Using the algorithm from the Content, list the vertices in the…

A: To solve this problem, we can use the following depth-first search (DFS) algorithm.

Q: Find the volume of the upper region cut from the solid sphere rho <= 1 by the cone phi = pi / 3

A: We have to find the volume of the upper region cut from the solid sphere ρ≤ 1 by the cone  ϕ= π3

Q: Consider the following power series. Let an = I = 2 lim n→∞ an R = n+1 = Find the interval I and…

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Q: 1. Use the Direct Comparison Test to determine whether the following series converges or diverges. Ž…

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Q: Use Stokes' theorem to evaluate // V x 7.1 ds where 7 = (9y²z, 3xz, 6x²y²) and S is the paraboloid z…

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Q: Please help!

A: The objective of the question is to prove two properties of invertible matrices. The first part is…

Q: At a local college, four sections of economics are taught during the day and two sections are taught…

A: At a local college, four sections of economics are taught during the day and two sections are taught…

Q: Color blindness is a sex-linked, inherited condition that is much more common among males than…

A:

Q: the expected payoff to th

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

Q: A mass weighing 20 pounds stretches a spring 6 inches. The mass is initially released from rest from…

A: The objective of the question is to find the position of the mass at different times, the velocity…

Q: True or false: The series Σ n=1 a. true b. false (-1)"+¹ n 62 +4 converges.

A: We have to check the convergence of the series .

Q: Convert the following equation to Cartesian coordinates. Describe the resulting curve. r= 8 cos 0 +…

A: We have to convert the following equation to Cartesian coordinates and also we have to describe the…

Q: 3. Compute the flux of F = (2,3,1) through the torus parametrized as r(u, v) = ((2+ cos v) cos u, (2…

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