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Q: Linear Algebra Are the following sets V vector spaces? Prove or give a counter example.(a) V = R^2 a...

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Q: 3) Give an example of a function whose domain is (-2, 2).

A: Domain is the set of values, x can take.

Q: Evaluate the cube root of z = 27 cis (240 degrees) . Then raise them to the cube.

A: According to the given information, it is required to evaluate the cube root of the given function.

Q: Assuming that 1 + 2 + · · · + n = an2 + bn + c, find a, b, and c by substituting three values for n ...

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Q: (3) The goal of this problem is to approximate e^((−.01)(0.02)) . (a) What function f(x, y) gives e^...

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Q: Consider the trajectory r(t) =   t2+1t2-vt+1. Find a vector n per pendicular to the curve describe b...

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Q: Solve the Bernouli Equation: dr/dt = (r2+12rt3)/3t4   I need help with solving it and also For this ...

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Q: 1. Phrase the below story and claim in terms of graph theory, and prove the claim it makes:In an alt...

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Q: Solve the given differential equation by undetermined coefficients. y" – 4y = (x2 - 9) sin(2x)

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Q: A model for the population P(t) in a suburb of a large city is given by the initial-value problem dP...

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Q: Of the eighth graders at Praxton School, 15 played basketball, 9 played volleyball, 10 played soccer...

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Q: Consider the following vector function. r(t) = (4t, 1/2t^2,t^2) (a) Find the unit tangent and unit n...

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Q: 16. Evaluate (V × (yi)) • n do, where S is the hemisphere x? + y² + z² = 1, z > 0.

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Q: Illustrate the Skew-symmetric matrix ?

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Q: find the maximal ideals in            Z8,   Z10,    Z12,    Zn   Please  explain thoroughly.  Thank ...

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Q: dy/dx = y(xy4 − 1)

A: The given differential equation of the bernoully equation:

Q: a) Does f() -Σne" n=0 converge or diverge for r > 0? b) How do you know?

A: According to ratio test, if the limit L<1, then the series converges and if L>1, then the seri...

Q: complex analysis

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Q: Determine the number of terms in the arithmetic sequence below. -70, -69, -68, ..., 67, 68, 69, 70

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Q: Solve task from image

A: According to the given information, it is required to apply gram Schmidt process to obtain orthogona...

Q: Find the volume under the paraboloid z = x2 + y2 above the triangle enclosed by the lines y = x, x =...

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Q: Show that the Green's function for the Sturm-Liouville problem Ly = f(x) A1y(a) + B1y (a) = 0 A2y(b)...

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Q: Only part (iv) please!

A: According to the given information, consider the set A:

Q: 7

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Q: 2. Let D be the region between the parabolas y = x² +1 and y = 3–x² where |x| < 1. Drawing a sketch ...

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Q: For a particular​ event, 915tickets were sold for a total of $6045.  If students paid ​$55 per ticke...

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Q: Let SCR and let c e R be a cluster point of S. Prove that for each e >0 the set W := Sn(c-e,c+e) has...

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Q: Ebo is the owner of medium-sized company that assembles personal computers in Ghana. He purchase mos...

A: Hey, since there are multiple questions posted, we will answer the first question. If you want any s...

Q: Find three linearly independent solutions of the system

A: Consider the provided question,

Q: Provide either a proof or a counterexample for  For all positive real numbers x, x^2 - x ≥ 0

A: According to the given information, it is required to prove the given equality or give a counter exa...

Q: Use Laplace transform method to solve the following initial value problem 2y′′+5y′+2y = e−2x; y(0)=1...

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Q: Take the last four digits ABCD of your student identification number, andlet z1= A + Bi and z2 = C +...

A: Here, z1=5i z2=6+4i

Q: Linear Algebra Let W_1 and W_2 be subspaces of a vector space V . Show that W_1 ∩ W_2 is also a subs...

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Q: The indicated function y, (x) is a solution of the given differential equation. Use reduction of ord...

A: Consider the provided question,

Q: Find the general solution of the given higher-order differential equation. 16y + 4y = 0 d²y 16, dx2 ...

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Q: Numerical analysis

A: According to the given information, Consider the table of values of function:

Q: A cable TV receiving dish is in the shape of a paraboloid of revolution (3D parabola). Find the loca...

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Q: Consider the following differential equation \ y'' + 4y' + 5y = 0 what is the correct solution set t...

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Q: Let E = [-5,20), be the universal set and Y =[-2,4], and Z = (0,10]be the subsets of %3D %3D Find: 4...

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Q: Maximize p = 5x − 4y + 3z subject to 10x + 10z ≤ 100 5y − 5z ≤ 50 10x − 5y ≤ 50 x ≥ 0, y ≥...

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Q: Place the digits​ 7, 6,​ 8, and 3 in the boxes to obtain the greatest product.   Place the digits​ 7...

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Q: Perform the following additions or subtractions A.   -3/2xsquaredysquared + 7/2xysquared + 5/xsquare...

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Q: Find the particular integral of the differential equation and show that the answer is yp(x)=−e^−2x((1...

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Q: In Exercises 67 and 68, sketch the region of integration and the solid whose volume is given by the ...

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Q: Discrete mathematics: Prove by any method: If n is an integer then n2 +3n+1 is odd ? Prove by mathem...

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Q: Solve the following differential equations xd2y/dx2 −dy/dx+ 2y/x=(lnx)2 and show that the answer is  ...

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Q: Absolute Convergence се +1 g series is abso k-D1 1+k k%3D1

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Q: 3- Please I want answer of this question. Thanks

A: Let x will be the number of hours in housecleaning and y will be the number hours of marketing.

Q: Consider the following differential equation y" + 4y/ + 5y = 0 Select the correct solution set to th...

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Q: just parts c and d

A: For (c), We are given that if A and B are finite sets. So, let |A| = m and |B| = n. Now, we need to ...

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.