15. Find all the solutions of the system below. 1 2 (90-0 1 -1 1 y = 0 12 1 2

Q: Find the x and y-intercepts of x² -8x+y+7=0.

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: rectangular lot is 12m long and 5m wide. The outside perimeter of the lot is to be provided with a…

A: Given that a rectangular lot is 12m long and 5m wide. The outside perimeter of the lot is to be…

Q: 2.88x²-0.5x+5=0

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Q: By Cauchy's integral formula, Taylor's Theorem, or any method under complex analysis (specify…

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Q: Z=x+y+ cos(x+y)

A: Given,        z=x+y+cos(x+y)

Q: What is the largest eigen value of the multiplication table from 1 to 10 treated as a 10 by 10…

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Q: The fuel efficiency, E, in miles per gallon of an SUV depends on its weight in pounds, w:…

A: For algebraic part 2c we will use calculus  For relative maximum or minimum To maximize or minimize…

Q: Find the solution of the following Differential Equation using Inverse Leplace: ý = 4y+3y=0 ẤY >…

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Q: By using the Laplace transform to solve the system x' = 3x - 3y + 2 = -6x-t ly' x(0) = 1 y(0) = -1…

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Q: Set-up the integral which yields the arc length of the portion of C2 traced counterclockwise from B…

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Q: Let f: MM' be an R-module homomorphism, then

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Q: Q5: Consider the following subsets of real plane R² Determine with graph: 1-Arewise connected A=…

A: Follow the steps.

Q: All electrical components, especially off-the-shelf components do not match their nominal value.…

A: Consider the given integral, 1-α=∫-2.152.912πe-0.5x2dx The Simpson's 13 rule is defined as,…

Q: Solve the following equations and compare the roots using the five methods. Tabulate the data…

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Q: 2. Evaluate the double integral that will find the volume of a solid bounded by z = 1-2y² - 3x² and…

A: Using trigonometric substitution

Q: (b) Show that k-1 (k+1) n n+1 for every n ≥ 1.

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Q: Find the area enclosed by r = √2 sin 0 and r² = cos 20.

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Q: Consider the points K(−1, 0, 7) and M(1, −2, 5), the vector MN = , and the line L with symmetric…

A: The dot product of two vectors includes the cosine of the angle between them. When the two vectors…

Q: 3 Let f(2)= (2 + 1)(x - 2) and use this result to evaluate Find the Laurent series expansion of f…

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Q: +siny+x

A: Side View

Q: In the diagram below, T≈ ZW, LUX. Enter segments in the blanks provided that would result in a true…

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Q: Area of the Region and Volume of the Solid of Revolution Given: The region is bounded by the curves…

A: Volume of the solid formed by revolving the region between curves y=f(x) and y=g(x) from x=a to x=b…

Q: When proving the limit lim(x² + 4x - 1) = 11, and e > 0 is given, what is an appropriate choice for…

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Q: (a) Solve the first order linear ordinary differential equation x sin x dy d.x + (sin x + x cos x) y…

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Q: Find the volume of the solid generated by the region bounded by y - x² = -3, x+y = 3 about y = -5.

A: To find the volume of the solid generated by revolving the region: y-x2=3, x+y=3 about y=-5

Q: 13. Let A be an invertible n x n matrix. Let E₁, . . . ‚Ek be elementary matrices such that E... E₁A…

A: Since, echlon form of invertible matrix is identity matrix.

Q: Let P be the point with Cartesian coordinates (6,9), and C be the plane curve with parametric…

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Q: Let L()= (x-1)y"-xy² + y a) with the observation that y, zx is a solution of L(4)=0 on (1,00), by…

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Q: 1. Evaluate the line integral of E-xa, -y a, along the segment P; to P; of the circular path as…

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Q: The population of a town is decreasing at a rate proportional to its size. In 1980, the population…

A: Given that  The population is increasing proportionally, given that in 1980 population=50000,…

Q: 3. of the solid enclosed by the hyperboloid z = Set-up the iterated double integral in polar…

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Q: f(x) = 3 - 2x and g(x) = ln (x - 1) then (image attached) = 1. -2 2. None of these 3. 3 4. 1

A: Composite rule is used

Q: A particle is moving along a line in such a way that v centimeters per second is the velocity of the…

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Q: 5) ARTSY PHARTZY Mr. Phartzy is an avid art collector. He knows the price of art fluctuates greatly…

A: Solution : Let f(x) ,g(x) are, f(x)=a1c1x    …(1) g(x)=a2c2x   …(2) Given, f(3)=151165.44…

Q: ● Considering R(t) is a differentiable vector function for t > -1 with R' (t) = (₁+₁'11²,1 + t²) and…

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Q: dy Find the complete solution of 2e2¹ cosx- dx Note: fe"du=e" + c sin²x = 0.

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Q: III. Let S be the quadric with equation 4x² − (y - 3)² + 4z² = 4. a. What type of quadric is S? Find…

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Q: For each problem below, use algebra to answer the questions. You may find it helpful to draw and…

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Q: 4. Evaluate the double integral: So So ²1 de +1 (Hint: Change the order of integration to dy dr.) dx…

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Q: III. Let 7 and w be vectors such that = (2,2,-1), |||| = √2, vw=-3, and x = (2, 1, 2). 1. If ū=…

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Q: 1. Determine the absolute extrema of f(x) = (cos x − 1) sinx on [0, π], if they exist, and identify…

A: As per our policy, we are allowed to attempt only first question. Kindly post remaining question…

Q: What is the slope of this roof? Select the correct choice below and fill in any answer boxes within…

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Q: Use the definition to show that x² - y² lim (x,y) →(0,0) x² - y² 0.

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Q: ds π Find a particular solution of = 10csc² 2t determined by s= 2 when t = dt 3

A: I have to find a particular solution to the differential equation                             ds/dt…

Q: A random variable X has cumulative distribution function F given in the following graph: → X -2 -1 1…

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Q: z=r^2+2r

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Q: A mass weighting 64 lbs stretches a spring 2 inches. The mass is in a medium that exerts a damping…

A: We must have all the units are in same system

Q: Find a particular solution of =(x−1)² if y=−21when x=−3. dx 4

A: Given differential equation is  dy/dx =  (x-1)2   dy/dx = x2 + 1 - 2x

Q: A 40-m high tower stands vertically on a hill side (sloping ground) which makes an angle of 18…

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Q: Use Euler diagram to determine whether the argument is valid or invalid. State the interpretation of…

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