Let ℎ be a given positive number and let s be a set of real numbers;  If s has a supremum, then for some x ∈ s, we have x > sup s − ℎ  If s has an infimum, then for some x ∈ s, we have x < inf s + ℎ

Q: Find the image of (2,1,4), given the Linear transformation L(x,y,z) = (x+y, 2x,y+2z) Type your…

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Q: Exercise 2 equation: dy/dt = y^2 - 4y - 12

A: Given differential equation is: dydt=y2-4y-12; y0=1, y1=0, y0=6, y0=5. We have to sketch the graphs…

Q: Two cyclists, 54 miles apart, start riding toward each other at the same time. One cycles the other.…

A: We have to find the speed of the faster cyclist.

Q: 1. Let X be the set of real numbers with the usual pseudometric. Find the derived set and the…

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Q: a) log3 (81) b) logg 48+ logg 16-logg 3

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Q: The function f(x, y) = 3x + 2y is integrable on the region R= [0, 2] × [1, 3].

A: Given: fx , y=3x+2y define the region R=0,2×1 ,3 Prove that: The function fx , y=3x+2y is integrable…

Q: Solve the following system of three linear equations in three unknowns. x₁ + 2x₂ + x3 = 9 4x1 = 4 x3…

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Q: Describe the Direct-solution method?

A: Given To describe the Direct-solution method.

Q: 2. Define the following propositions: p: My flight is delayed. q: There are thunderstorms at the…

A: Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: 3. LR and I are tangents to OT from an external point L. a. Is RL congruent to LI? Why? b. Is ALTR…

A: As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly repost…

Q: Find an equation of the sphere with center (3, -11, 6) and radius 10. Use an equation to describe…

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Q: Find the half range cosine series of (x-π). π² f(x) = 0≤x≤π

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Q: Consider the surface given by the graph of the function z=f(x,y). Values for z are shown in the…

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Q: 6 Show that (for a max problem) if the ith primal constraint is a z constraint, then the optimal…

A: For maximization problem. We have to show that is the ith Primal constraint is a ≥ constraint, then…

Q: (a) How many of these students like exactly two of these composers? student(s) (Simplify your…

A: According to bartleby guidelines we do only first three subparts and rest part can be reposted.

Q: Show that (p V q) = ~(~p ^~q) by using one of De Morgan's Laws and the property that ~(~a) = a

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

Q: Find the present value of $40,000 due in 3 years at the given rate of interest. (Use a 365-day year.…

A: Given that The Future value  FV=$ 40,000Interest rate r=4%=4100=0.04Compounded monthly  n=12Number…

Q: Using the washer method, set up an integral to find the volume of the solid of revolution obtained…

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Q: find the solution to the initial value problem to the Homogeneous Equation: dy/dx = (x^2+3y^2) /…

A: We have dydx=x2+3y22xy let  y=vx⇒y'=v+xv'

Q: 9,10,11

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Q: In a certain region, about 8% of a city's population moves to the surrounding suburbs each year, and…

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Q: Find the critical points, domain endpoints, and local extreme values (absolute and local) for the…

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Q: (c) Let D = R² \ {(0,0)} and consider the vector field defined on D defined as: X -Y x² + y² x² + y²…

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Q: The Pirerras are planning to go to Europe 3 years from now and have agreed to set aside $130/month…

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Q: (7) An Interesting Fact is that there are different sizes of infinity. For example, if A is an…

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Q: The number of bacteria in a refrigerated food product is given by N(T) = 22T² - 105T +53, 5 <T < 35…

A: It is given that function for the number of bacteria in refrigerated food is NT=22T2-105T+53, where…

Q: With f = {(0,6), (1,3), (4,7), (5,8)} and g = {(-1, 2), (1, 4) , (2,3), (4,8)) Determines: A) f +…

A: Given f = {(0,6), (1,3), (4,7), (5,8)} and g = {(-1, 2), (1, 4) , (2,3), (4,8)) The domain of f =…

Q: Find the inverse Laplace transform of F(s) = O O f(1) = 45 S(1) 100) = 8 f(1) = f(1) = f(1) =…

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Q: Find the inverse Laplace transform £¹{F(s)} of the function F'(s) = 10 (s-4)³ NOTE: The answer…

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Q: A variable circle which always touches the line x + y - 2 = 0 at (1, 1) cuts the circle x2+y2 + 4x +…

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Q: 17. F(x) = 2x² + cos²x

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Q: Exercise 1. Find the real and imaginary parts of the following: 3 5i (a z³; € R); 2²: 3 + 5 / (-1 +…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Spread into a Fourier series according to the cosine of the following function.

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Q: Find the flow of the vector field a = (x + 2y)i + (x + 2z)j − zk along the outer surface of the…

A: Given To find the flow of the vector field a→ = (x+2y)i→+ (x + 2z)j→ - zk→along the outer surface of…

Q: (4) Give an example of a set A and a set B so that A is infinite and B is infinite and An B is not…

A: Due to Bartleby answering guidelines I have solved only first question (question 4.).

Q: For the function f whose graph is given, state the value of the given quantity below. If the…

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Q: dy-dx-2y = 0. Find the particular Determine the general solution of d-dx-2y dx² solution when y = 2…

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Q: 5. Find the volume of the solid obtained by rotating the region under the graph of the function y =…

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Q: 6 Use the Big M method and the two-phase method to find the optimal solution to the following LP:…

A: The given LP is: max z=x1+x2 s.t. 2x1+x2≥3    3x1+x2≤3.5x1+x2≤1x1, x2≥0 We have to find optimal…

Q: 2. Solve the boundary-value problem = 4, y(0,t) = y(5,t) = 0, y(x,0) = 0, y₁(x,0) = 5 sin mx. 2d²y…

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Q: 2) Let f(x) = x³ on the interval [1, 2]. Let n = 3 subintervals. Use this information to do the…

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Q: Match each equation with its graph. (Do not use technology.) (a) y = 5x -3 (c) C F (b) y = 5x O G F…

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Q: b) 6 sin² x - sinx-1-0

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Q: Use the Big M method to solve the following LPs:

A: The given LPP problem, min Z=3x1 Subject to the constraints, 2x1+x2≥63x1+2x2=4x1,x2≥0 Using the Big…

Q: (2x³ 3y) Drag an expression or value into each box to correctly complete the statements. How can you…

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Q: PART TWO: f(x) = abx-h ➤ In this part, you are going to explore the effect of parameter h to the…

A: We have to investigate the function f(x)=2x-h for different values of h.

Q: Find the Laplace transform of the given function; b is a real constant. f(t) = cos(bt) Your answer…

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Q: We want to compare two motion sensors based upon their signal levels and moving settings. For a…

A: S1=00+0.520+0.6540+0.8560+180+1100S2=00+0.4520+0.640+0.860+0.9580+1100 Note: We are allowed to solve…

Q: A half range periodic function f(x) is defined by sin, 0<x< 1, i. Sketch the graph of even extension…

A: Given  A half-range periodic function is given by f(x) =sin x0&lt;x&lt;π21π2&lt;x&lt;π (1) To sketch…

Q: When we say we have described the universe, integrated it, or discovered something universal, what…

A: We have described the universe, integrated it, or discovered something universal, what exactly do…