to C-X

Q: Find the Fourier Series of the following periodic function

A: In this question, we find the Fourier series for the given periodic function f(x)=sin2x-2cos3x-π≤x≤π...

Q: Solve the given initial-value problem. (x + y)* dx + (2xy + x- 7) dy = 0, y(1) = 1

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Q: Give the optimal solution. Minimize z = 4x + 8y subject to: x + 1.5y ≥ 45 2x+ 0.5y≥ 40 x+y ≤ 40 x,y≥...

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Q: Find an explicit solution of the given initial-value problem. dy y (2) = 2 %3D dx x2-1

A: An equation which involves the derivative or differential coefficient is called differential equatio...

Q: What is the general solution of sin 0-2rcos²0) dr + rcos0 (2rsind + 1) de = 0 ? %3D O sin 0 rcos²0 %...

A: Given differential equation is: sinθ−2rcos2θdr+rcosθ2rsinθ+1dθ=0

Q: #1 (This is problem 15 in 2.4 of the Strauss book) Prove the uniqueness of the diffusion problem wit...

A: To prove the uniqueness, Suppose u and v are solution of diffusion problem with the Neumann boundary...

Q: A programming language was designed in such a way that all are of length exactly six and is built ou...

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Q: Exact DE se: he particular solution of (x + y)dx + (x – y)dy = 0 when x = 1 & y = 1.

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Q: Find the maximum rate of change of f(x,y, z) = r + y/z at the point (-1, -3, 5) and the direction in...

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Q: Use the Newton-Raphson Method to approximate the root of ?(?) = 2 cos(?) − 2? + 1.

A: Newton Raphson method

Q: Nathan had 4/7 as many pens as Henry at first. After Nathan bought 19 more pens and Henry gave away ...

A: To determine the number of pens Nathan had first , we have to establish a relation ship between the ...

Q: Use the given definition to find f(A): If f(x) = ao + a¡x + a2x2 + •* + anx" is a polynomial functio...

A: To use the given definition to find f(A). 

Q: As the prize in a contest, you are offered $29,000 now or $40,800 in 7 years. If the money can be in...

A: Given that Money offered now=$29000 Money offered after 7 years=$40, 800 To find Which prize will be...

Q: 5. Let W be the set of all vectors p(t) in P2 such that p(0) = 0. Show that W is a subspace of P, an...

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Q: 1. Given the following data set, find the mean, median, and mode. 12, 15, 16, 19, 20, 20, 22, 23, 25...

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Q: Using a tableau or inverse method to solve the set of simultaneous linear equation: 3X1 + X2 + X3 = ...

A: From the given system of equations, A=311121432, X=X1X2X3 and B=3-91 Note that, the solution of the ...

Q: (3) In one model of the changing population P(t) of a community it is assumed that dP dB dD dt dt dt...

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Q: cos O If f(z)= sin 0 then examine the analyticity of f(z).

A: Analytic Function: Let us consider a complex  function f(z) in the region R then f(z) is said to be ...

Q: 10. What is the value of the median for the following set of scores? Scores: 1, 3, 4, 6, 8, 12, 13, ...

A: In case number of observations n is even then Median=Value of(n2)thobservation+Value of(n2+1)thobser...

Q: If y = exp(-x²) show that 4 = -2ry and hence prove that, for n > 1, y(n+1) + 2xy(m) + 2ny(n–1) = 0.

A: In this question, we need to show  dydx=-2xy  for y=exp(-x2)and Further,y(n+1)+2xy(n)+2ny(n-1)=0 for...

Q: Q3: Sketch the function y 2 . and sketch the graph of y 2 *- 5

A: Graph of the function

Q: 4y"+4y'+y=0; y(0)=1; y'(0)=2

A: In this question, we have given a IVP 4y"+4y'+y=0; y(0)=1; y'(0)=2 For this, we need to solve and gr...

Q: A hemispherical tank of radius 8 ft. is initially filled with water. At the bottom of the tank, ther...

A: Let, the height is h. The volume of the hemisphere is: V=π8h2-h33 The flow satisfies the differentia...

Q: in ExerCIses 11. : Z- = 6. Zs such that (1) 12 : Z Z such that o(1)312. Z x Z Z where (1,0) = 3 and ...

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Q: use ratio lanuage to write two different sentences that compare number of tacos and guests?

A: By using ratio language to describe a ratio relationship between two quantities or object (may be re...

Q: Let f(x) be a periodic function of period 2 such that if 0 < r<1 f(r) = x+4 if 1< r < 2 (i) Find the...

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Q: Makiny has 24 muffins, 16 breakfast bars and 12 bottles of juice to be distributed evenly among a ce...

A: The GCD of three numbers can be calculated by prime factorization. The prime factorization is factor...

Q: (Q-4, Use an iterative approach to find the solution to the following recurrence relation. a.an-1+3,...

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Q: (b) Prove that there are infinitely many prime numbers of the form 6n + 5

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Q: Q1. (a) Given two points P(6,3,1) and Q (5,0,0), find the parametric equations for a smooth curve, C...

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Q: A plane flies 300 miles straight West and then turns 55° North of West and travels for 200 miles. Ho...

A: please check step 2 for solution

Q: u + (1+ сos u) = 0

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Q: Exercise 3.6. Interpret geometrically what it means for two vectors u and v to be linearly independe...

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Q: Let the domain be the set of all people. Let I (x, y): "x is inspired by y". Match each of the follo...

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Q: Find all values of 0 if 0 is in the interval [0°,360°) and has the given function value. sin 0 0,462...

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Q: Q3 || solve y' = 3x? +y given y0) = 4 if h = 0.25 to obtain y(0.25) , %3D Y(0.5) by using Taylor Met...

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Q: Prove the following recurrence relation: xP (x) – P-1(x) = nPn(x).

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Q: Solve the given initial-value problem. (x + y)2 dx + (2xy + x² – 2) dy = 0, y(1) = 1

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Q: Solve the given differential equation by separation of variables. e y = e-y + e-2x-y e*y %3D dx

A: We have to solve the following given differential equation by using the separation of variables meth...

Q: Let v be an n-vector and w be an m-vector. a) What is the matrix product (a';) = vw? Give a formula ...

A: Given : v is an n-vector and w is an m-vector To give formula for aij in each of the following matri...

Q: 3 4 1 ,P(b) =, P(c) = 0, P(d): 8 5 5 В) Р(а) %3 P(b)= -, P(c)=0, P(d)=1 | 9' C) P(a) = 0.2, P(b)=0, ...

A: Probability of simple event S ={a, b, c, d } is acceptable if 1. Sum of all probabilities of a event...

Q: For vector A = , calculate the surface integral (f, A · ds)

A: In this question, we find the surface integral for the given vector function A=&lt;x2yz, xy2z, xyz2&...

Q: Let X= {p, q, r, s, t}, Y= {1, 23} and Z={k, e} Define one-to-one function and how many one-to-one f...

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Q: Given a Matrix below, provide the determinant using the upper or lower triangular method. (Non-anony...

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Q: Advanced Math Question

A: I) Check for the Laplacian equation if it is satisfying it then it should be harmonic uxx=exuyy=0 So...

Q: sin(z)*sin(y-x)=0 sin(y)*sin(z-x)=0 sin(x)*sin(z-y)=0   My teacher told me that there were two resul...

A: The given equations are:                              sinzsiny-x=0sinysinz-x=0sinxsinz-y=0 Therefore...

Q: 1. Add, subtract, and multiply in binary: 1111 11101 1011 + 1011 - 10011 X 1010

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Q: What is the general solution of the differential equation (y - 2ry + 6 ) dr (2 – 2ay + 2) dy? - O zy...

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Q: Wow She must FIGURE IT Ourt be gettin tred by now L Look at the graph below. Starting at square X. J...

A: “Since you have posted a question with multiple sub-parts, we will solve the first three subparts fo...

Q: A volume is described as follows: 1. the base is the region bounded by y = e, y = 2.1x² + 0.8 and x ...

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