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Q: x y A yard is made with 2 regular partitions. It will be made from 663m of fencing materials. Solve…

A: Given that length = y (m) and width = x+x=2x(m) and perimeter is 663 That means perimeter of…

Q: Use the lagrangian method to minimize the cost function: f(k,l,m) = 1.24k + 4l + 3.4m under…

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Q: A qualitative look at a fish population Example. A population of fish is being monitored in a lake.…

A: At equilibrium points P'=0 . To find sign of P' we will take a value of t in that region and…

Q: The sequence with a₁ = 2 and recurrence relation an = an−1 + (2n + 5) generates these first few…

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Q: 1 Determine the convergence or divergence. Σn=2 nln(n)

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Q: HW: Using the standard inner product, determine which of the following pairs orthogonal vectors in…

A: As two vectors X and Y are orthogonal if  <X, Y> = 0.

Q: t dw 4. (i) For t> 0, find the general solutions of +w-t, where p≥ 1 is a constant. 2 dt (ii) For x,…

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Q: Complete the table by identifying u and du for the integral. [r(g(x)g(x) dx (tan(x)) (sec(x))² dx…

A: Given integral is ∫tanx9secx2dx

Q: 1. Let f(2)= 2³ sin(1/2) (z + 1)² (a) Find and classify the zeros of f. (b) Determine and classify…

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Q: using logarithmic differentiation?

A: Please check the answer in next step

Q: Solve for the relative max value of g(x) = 45 17x²-3x³

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Q: 7 Part 3 of 4 ! Required information NOTE: This is a multi-part question. Once an answer is…

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Q: What is the mixed fraction of 3 1/4

A: Mixed Fraction A mixed fraction is a particular kind of fraction that consists of both a whole…

Q: Due to urbanization government discovered that 90% of the people in cities stay in cities while 10%…

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Q: Find the general solution to the DE t²y' + y² = ty by substituting v=y-¹. Assume that t > 0. Show 11…

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Q: Determine whether the equation is exact. If it is, then solve it. y = ¾ ]dy = 0 7 [ 1 1 1 1 cos…

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Q: Problem 7 Let He Vam I tudom S = {(2,x) | x E I} CR², dT (81 Ing/ T= {(0,x) | x 1} CR², o ir aut

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Q: 3. A merchant purchased a number of coats, each at the same price, for a total of 720 dollars. He…

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Q: sing A = PDP¹ to find A+ for A = -(6-²). Hint(use the formula Am = PD P¹ and compare with C-H…

A: A-λI|=0    (6-λ)   -2       6   (-1-λ)     = 0…

Q: 15 14- 13- 12 11 -10- 9- 8 7- 6- 5 4 3 2 Locate all the corner points. 5 16 H -90- 8 9 10 11 12 13…

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Q: 3. Prove the following statements: (a) If n is an even positive integer then n3 is an even positive…

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Q: A yard is made with 2 regular partitions. It will be made from 720m of fencing materials. Calculate…

A: The area of the yard is given by  length ×width=y×x+x=y×2x Therefore, the area of the partition is…

Q: 13 Create a graphical representation of R by clicking and dragging to each number in the following…

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Q: Does Sn have a subgroup isomorphic to An other than An (n ≥ 5).

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Q: Jeremiah designs a school banner that measures 4 feet wide and 3 feet long. The banner is…

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Q: Use the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite integral for…

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Q: What is the value of x that will give g(x) = 115x² – 3x³ a relative max value?

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Q: 1. Cxsin y + x²y = Cy 2. y Ax B sin x = 3. y = Ae-3x Be²x + Cx³ 4. 4y = ln(Cx + 7) 5. Ay = eBx² -

A: Given equations  are ,    (2).      y = Ax-Bsinx    (5).       Ay =  eBx2  (.) To eliminate the…

Q: Problem 5. Find all linear operators T: R4 → R4 such that SOT TOS for every linear operator S: R4 →…

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Q: Complete the table by identifying u and du for the integral. [ r(g(x))g'(x) dx [x²√x³ +4 dx U = u =…

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Q: 2. If the following statement is true, give a proof showing it to be true. If it is false, disprove…

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Q: 1. Perform the indicated operations given a = 15-2i, b= −3+2i, and c= -1-3i. Write the results in…

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Q: PROBLEM 1. For the figure given, determine the following if the system is in equilibrium. 1-5.…

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Q: M The function f is discontinuous at x = 1 because f is not defined at x = 1. The function f is…

A: Continuity of the function

Q: Find the indefinite integral by making a change of variables. (Hint: Let u be the denominator of the…

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Q: Problem 1 a. [2, 3] x [1, 2], b. {1,2,3} x [1, 3], c. S¹ x [0, 1]. Sketch the following Cartesian…

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Q: 10. Let a and b be natural numbers that are co-prime. Prove that (b-a) and b must also be co-prime.

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Q: blem 3. (i) Chris wants to build an infinitely long slide, whose height (in feet) is h(x) = 10e-²,…

A: Here height of slides given by  hx=10e-x2 As cross section is a square . So sides of square will be…

Q: 5) Solve for x: 1 a) 2* 16 b) 25* =125 C) \x+1 27 8 d) 27 8

A: "Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Given the function F(x)= 2x^3+3x^2-12x-7 a. Use the second derivative test to find the relative…

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Q: Using the graphs of the functions fand g below, determine the following. If infinite, specify ∞o or…

A: Given Data: Let us consider the given data, To Determine: a limx→-2ddxgx2 b limx→1-ddxfx

Q: (a) Directly use the Bolzano-Weierstrass theorem (Theorem 2.3.8) to prove that every Cauchy sequence…

A: Details attached in the next step.

Q: Based on statistics from a worldwide health organization, in 2005 there were 28.8 million people…

A: Given- In 2005, there were 28.8 million people worldwide living with a certain disease, and 1.8…

Q: Prove that if p, q, and r are three different prime numbers, then p² +q² # r².

A: WE  prove this statment  by contradiction

Q: θ = cos^-1[sin(LT1) sin(LT2) + cos(LT1) cos(LT2) cos(LN1 − LN2)] How does this formula go with…

A: Consider the figure as our Earth. O is the center of the earth Point P on the earth surface has…

Q: For an optimization problem below, state and explain which of the four assumptions of linear…

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Q: 1. Prove the Minkowski inequality for p > 1, that is, for all ak, bk non-negative real numbers, 1/p…

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Q: Find the relative extrema of the function. Use a graphing utility to confirm your result. (Order…

A: Here we first find the derivative of given function to find the critical points and then we…

Q: Problem 1. Let R be the radius of earth, M be the mass of earth, and G be the gravitational constant…

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Q: 6. Given integers a, b, and c, suppose that a-b is even and b-c is even. Determine whether 2a-(b +…

A: Given that a-b and b-c both are even integers, then we determine whether 2a-(b+c) is an even integer…

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.