12. Convert the rectangular coordinates (-1,3,5) to cylindrical coordinates

Q: 1. Prove that the Taylor series expansion for the function f(x) =x' about x 1 is reduced to x'.

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Q: Directions: Illustrate the rejection region given the critical value and identify if the t-values…

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Q: Use the fact that matrices A and B are row-equivalent. 1 2 1 2 5 1 1 A = 3 7 2 2 -2 10 22 8 -1 30 -4…

A: According to our guidelines we are supposed to answer only first three subparts.kindly repost other…

Q: Use Lagrange multipliers to find a vector in 3-space whose length is 9/3 and whose components have…

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Q: Find the distance between the skew lines: x = 9 + 6t, Y = 5+ 6t, z =7–6t x = 7 – t, - y = 7, z = 6 +…

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Q: Use the convolution product to find the inverse Laplace transforms of s? 1 (s² + 1)3’ (s² +1)(s² +…

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Q: Let f : R? → R² be the linear transformation defined by 0 5 f(x) 2 3 Let B {{1, 2) , (3, 5)}, с…

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Q: Use the bisection method to approximate the root of f(x)=2x²-1 in the interval [0, 1]. Let E= 0.1 be…

A: Bisection method is one method used to find the approximate root of a function within a specified…

Q: 1. For all x E R, cos x = ) (2n)! n=0 a. Find a power series that is equal to x cos(x²) for all x E…

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Q: Q1. Test the following series for being convergent or divergent: a.) 2 (In n)" - b.) Σ 1. 3n n- (In…

A: Given series is a ∑n=1∞nlnnn2b ∑n=1∞1-13nn

Q: a) ВА b) Determinant of AT c) cofactors(B) Where [3 2 0 0 5 4 7 0 1 A =|1 3 1 0 0 10 3 85 Lo 1 0 1…

A: We have to find the value of (a) BA, (b) determinant of AT and (c) cofactors(B)

Q: c. Identify the critical numbers of f and the possible points of inflection of the graph of f. d.…

A: c) Equate the first derivative to zero to find the critical numbers. xx+8x-2x+23=0xx+8x-2=0x=0 or…

Q: 3. Obtain the Power Series solution of the differential equation: y"+x²y =0.

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Q: What is the simplified form of the complex mumber А. 1 C. 8+ 6v3i D.-10-i В.

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Q: 1-10i Q2. If complex number z satisfies the equation: _2z – 57 = 3 – i where z denotes the complex…

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Q: If A = {x:x [B| None of these Option 3 O Option 4 |A| = |B| |A| < |B|

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Q: X1 + 5x2 + 3x3 = 30 3x1 + 7x2 + 13x3 = 80 12x1 + 3x2 – 5x3 = 2 %3D with x", x", x"| = [1, 2, 3]…

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Q: Use Lagrange multipliers to find a vector in 3-space whose length is 9/3 and whose components have…

A: We will use Lagrange Multiplier method to  maximize / minimize a function f(x,,y,z) subject to…

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

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Q: (-1)"x2" (2n)! +00 1. For all x ER, cos x = Σ n=0 a. Find a power series that is equal to x cos(x)…

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Q: Does the function appear to satisfy the hypotheses of the Mean Value Theorem on the interval [a, b]?…

A: The Mean Value Theorem says that there exists a point c in the interval a,b where f'c equals the…

Q: Direction: Given linear equations below, find the values of x.y.z using LU Decomposition. 4x-3y+z=-8…

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Q: Let [3 1 21 A = 2 1 2 [1 2 2] Find the following: 1.1 AT ЗАТ A-1 1.2 1.3 1.4 3AT + A

A: Properties of the Matrix

Q: Calculate the Taylor polynomials T2 and T3 centered at a = 0 for the function f(x) = 14 tan(x). (Use…

A: The given function is fx=14 tanx. Now we have to find the 2nd degree and 3rd degree Taylor's…

Q: 3 xp- ² - 4 12

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Q: A component has the following linear hazard rate, where t is in years a(t) = 0.4t, t2 0 a) Find R(t)…

A: Given: λ(t)=0.4 tt is in years

Q: Construct a graph with vertices U,V,W,X,Y that has an Euler path, the degree of U is 1 and the…

A: We Know that  An Euler path is a path that uses every edge of a graph exactly once.   We have to…

Q: what is the lateral edge opf acube with a surface area of 294

A: Given the surface area of a cube is 294 . To find the lateral edge of a cube .

Q: Find a formula in terms of k for the entries of Ak, where A is the diagonalizable matrix below. 17…

A: The solution is given as

Q: Find the domain, vertical asymptote, and x-intercept of the logarithmic function. (Enter your domain…

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Q: Evaluate the integral. -24r 15 x'dx = xdx 3 x dx = dx = 1, %3! O-36 O-146 O -114 O 4 O -61

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Q: Fit a least-squares parabola having the form y = a + bx + cx2 to the given data. X 1.2 1.8 3.1 4.9…

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Q: Find an equation of the plane that passes through the point P(-3, -2, 3) and has the vector n = (-7,…

A: Find an equation of the plane that passes through the point P(-3, -2, 3) and has the vector n = (-7,…

Q: Use the fact that matrices A and B are row-equivalent. -2 -5 8 0 -17 1 -5 1 5 A = -5 -11 17 3 -53 1…

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Q: In an M/M/1 queueing system, the arrival rate is 9 customers per hour and the service rate is 13…

A: Given that, the mean arrival rate is λ=9 and mean service rate is μ=13. Consider the formulas for…

Q: Let V be the set of all positive real numbers. Determine whether V is a vector space with the…

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Q: Consider the Taylor polynomial T,(x) centered at x = 20 for all n for the function f(x) = , where i…

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Q: (b) For the following Homogencous Lincar System of DE, what are the eigen values, corresponding…

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Q: D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

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Q: (2х — 5у + 3)dxх — (2х + 4у — 6)dy %3D 0 - -

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Q: 1- cos at Q6. Find the Laplace transform of following functions (a) t sin at (b) t

A: As per our guideline we are supposed to answer only first asked question.kindly repost other…

Q: sin h AP1) Prove that lim h y Resources 1 by using only geometry. It is sufficient to consider h >…

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Q: H.W": Given the following table find x3, fo.Af.Af2,Af. Afo Afo Afo fo A²fo 30 1.666 4 20 Af1 2 2 Af2…

A: We can solve this using given information

Q: 5. (41) Answer: Show your work or explain your reasoning here:

A: The solution is given as

Q: 6. (23) Answer: Show your work or explain your reasoning here: I 7. (39) Answer: Show your work or…

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Q: Let g be a function that is defined for all x, x # 2, such that g(3)% = 4 and the derivative of g is…

A: To find: Critical points of g where g'(x)=x2-16x-2,x≠2.

Q: Is it true that Arg(z) = arctan for x + 0, where x = Re(z) and y = Im (z) ?

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Q: Q6. Use the method of Variation of parameters to solve (i) y" +y : tan x.

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Q: Consider the functionf(x, y) = 7x? – 7y² subject to the condition x + y = 36. %3D Use Lagrange…

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Q: a. f(0) = f(3) = 0 b. f(1) = -2 c. f'(-1) = f'(0) = f'(1) = 0 d. f'(x) 0 on -8 <x< -글and<x<2 g. lim…

A: Given: a. f(0)=f(3)=0 b. f(1)=-2 c. f'(-1)=f'(0)=f'(1)=0 d. f'(x)&lt;0 for -∞&lt;x&lt;-1 and…