I need the sol in 30 min Find the general solution of : X^2 y”-X y’ + 4y = 0 Note : (‘) represent the first derivative (“) second derivative

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Q: Find the general solution to the following differential equations. 1. y"-8y'+16y=0 2. y"+y'=0 3. ...

A: As per our company guidelines we are supposed to answer only the first three questions. Kindly re Po...

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Q: J4 YR , k and i+j respectively, Ieal humbers. Find vector equations for the lines AB and CD. Whelt P...

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Q: Use the contour map to calculate the average rate of change from A to B and from A to C if a = -4. B...

A: Given:   calculate the average rate of change from A to B and from A to C if a = - 4

Q: c satisfying the expression cos(x) = = x.

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Q: QI) For the functions yl=fi(x)=x* y2=f2(x)=(x+1)*+2 a) Draw the functions. c) Find their domains and...

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Q: When we are setting up the simplex tableau, which of the following statements is true: O number of b...

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Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x = xo and then find the nth Taylo...

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Q: ördering or arrangement of the elements of a given set of objects. a. Permutation b. Combination c. ...

A: As we know  P(n, k) = (n!) /(n-k)!  

Q: III. For each of the following series, determine whether it is convergent or divergent. Justify your...

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Q: A- Find asymptotes for the following functions : (1) x2-1 2+x-x-3 (2) x2+ 2 x2-1

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Q: Give a recursive algorithm for finding the sum of the first n odd positive integers I. Find f (2), f...

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Q: 3. A rectangular prism with dimensions 6 m x 4 m x 8 m (l x w x h) is shrinking. 8 m 4 m 6 m Answer ...

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Q: dH RH² /1 + R² dR In H

A: The given problem is to solve the given differential equation. We can solve by using separation of v...

Q: Write the standard form equation of the following hyperbolas. Vertices (-2,5) and (6,5), foci (-3,5)...

A: The transverse axis will be x-axis the standard form of the hyperbola equation is  (x-h)2a2-(y-k)2b2...

Q: 3. Let S and T be non-empty subsets of R. (a) Prove that if S CT, then inf T < inf S.

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Q: Given points M(-1,2,1), N(3,-3,0), and P(-2,-3,-4), find the following a) RMN b) RMN + RMP

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Q: How many rows and columns must a matrix A have in order to define a mapping from R' into R° by the r...

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Q: The statements -p → (q -→r) and q → (p *.v r) are logically equivalent true False

A: To check if the given expressions are equivalent or not construct the truth table for both of them t...

Q: f(x) = x^3 - 9x^2 - 45x - 27. Find the remaining zeros given that -3 is a zero of f(x). O (-3, -6 + ...

A: Given f(x) = x3 - 9x2 - 45x - 27

Q: Many statistics courses cover a topic called multiple regression. This provides a means to predict t...

A: Putting the data from the table in the model y= ax1+bx2+c , we get the following system of equations...

Q: 1 3? 4 1 1 5' 6 1 Find an explicit formula for the sequence , -,- 2? ..

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Q: Write the Sinusoidal equation. Show as much details as necessary regarding the amplitude, period, do...

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Q: Solve for the Maclaurin series expansion of f(x) = In(3 - 2x). Find its interval of convergence. App...

A: Questions from Maclaurin series.

Q: * e りこ0 ピッ そ= -> ズ

A: Introduction: The second order non-linear differential equation of the form  x2y"+xy'+x2-n2y=0 is re...

Q: Question 3. Use the method of finite-differences to find a closed-form expression for the sequence 0...

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Q: An integer n > 2 is composite if and only if n doe

A: Given Statement: An integer n &gt; 2 is composite if and only if n does not divide (n - 1)! + 1. ___...

Q: a) f(t) = -t?u(t) b) f(t) = cosh(at) u(t) c) f(t) = (1+ t)e-lu(t) d) f(t) = 78(t – 2) %3D e) f(t) = ...

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Q: I. Write True if the statement is true. If the statement is false, explain briefly why it is so. 00 ...

A: The given question is related with series. Given three statements.      (a) Suppose the infinite ser...

Q: Part (a) Determine all values of h such that the matrix 5 -3 -1 1 2 3 -1 A = 1-2 2 5 1 3 h has eigen...

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Q: Let R be a commutative ring. Then R is an integral domain if and only if ab= ac implies that b = c, ...

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Q: 4.-If 8 -1 b = 3 Solve the system of linear equations Ax = b, where A is the matrix in Problem 3. Us...

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Q: n² – 1 > Un where sn = u1 + ... + Un n² + 1 n=1

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Q: (1) E(-1)n+1 (3n)! 3n+1 n=1

A: (f). Given series is ∑n=1+∞(-1)n+1(3n)!3n+1

Q: 16y" + 8y' + y = x +6 3.

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Q: Find the general solution of the differential z-y+3 equation y' I-y

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Q: f(x)=6x-10 , g(x)= x^2+3x+8 (gof)(-2) = %3D 55 none of these 25

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Q: Consider the equation of the surface. 1 f (x, y) = x² + y² + 1 Identify the graph of the surface giv...

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Q: l2: = 1-s, y = 3+ s, z= 3+2s l: =1+t, y = 2- 2t, z= -3+t Determine whether the given lines are paral...

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Q: 6/30° + j5 – 3 (а) -1+j+2ej45° (15 – j7)(3+ j2)* (b) - (4 + j6)*(3/70°) means you need to conjugate ...

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Q: Using the principle of mathematical induction prove that F1 + F3 + F,+... +F2n-1 = F2n where F; is t...

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Q: Using the definition, not the table, find the Laplace transform of f(t) = 2, 0 ≤ t < 1 e^2, 1 ≤ t ≤2...

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Q: Prove the following statements using the Principle of Mathematical Induction (PMI). 3.) 2. 7" +3. 5"...

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Q: 4. Prove that given any integer for n, n3 + 2n will be divisible by 3.

A: We have to prove by induction.

Q: identify the conic with the given equation and give its equation in standard form.     6x^2 − 4xy ...

A: The general form of a second-order quadratic function is given by ax2+2hxy+by2+2gx+2fy+c=0, where a,...