2. The curve with polar equation 24 3 cos 0 + 4 sin 0 = is a line. Find the slope and the y-intercept of this line by writing the given polar equation in Cartesian form. (Hint: Multiply both sides of the equation by r.)

Q: Which of the following is not a property of Fourier Transfor 2 O Shifting O Frequency…

A: Given detail Which of the following is not a property of Fourier Transform?    Shifting Frequency…

Q: 14 Approximate (x - 4) dx using 4 rectangles. 2 It is approximatley. (If necessary, round ts two…

A: Solution

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A: We have to integrate the given function over the path C1 and C2

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Q: To test this series for convergence n nº + 4 n=1 where p= пр n=1 You could use the Limit Comparison…

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A: A sequence is {a} is called Cauchy sequence if for ∈>0 there exists N such that m, n>N then…

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Q: (a) Estimate the area under the graph of f(x) = 1/x from x = 1 to x = 5 using four approximating…

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Q: 2 Suppase G is an abeli Group of Order 6 Contauining an element' of order 3. Prove G is Cyclic. 2…

A: 1)  Let , G  be an abelian group of order 6. Consider , a ∈ G  of order 3. By definition order of an…

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A: We have to identify the independent variable, dependent variable , order and degree of the given…

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A: As per bartleby guidelines we are supported to answer only first one question when two or more…

Q: 2 (ii) using Convolution theorem. (s+2)(s²+9)

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Q: (b) Let R = {3n : n e Z} and let U = {6n : n e Z}. Assume that R, with the standard the standard…

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Q: Is it true that when an n*n matrix whose columns form a basis of R^n, then A is invertible?

A: We shall answer this in next step

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Q: Show the following sequences do not converge. (b) Sn = (-1)"n

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Q: Determine whether following the series converges or diverges. n2 + 7n + 5 n=1

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Q: 1) (a) Circle ONE of the below equations and convert it from either polar to rectangular or…

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Q: Find the standard matrix for the linear transformation T. T(x, y, z) = (x + y, x – z, z - y) 1 1 1…

A: T(x, y, z) = (x+y, x-z, z-y)

Q: 3. The Laplace transform L {t(t-2)(t+2)} is : (a) (1/s) ( 1/s² - 2/s) ( 1/s² + 2/s) (b) (( 3!/s*) –…

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Q: Three hundred draws are going to be made at random with replacement from the box . 0,0,0,1  The…

A: Solution

Q: Proof [(pAq)=r] = [p=(q=r)] using the rule of replacement.

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Q: sin? 0 sin 2x tan´ x 2. limøseco 3. lim 0→0 1 – cos 40 4. lim- x→0 sin 3x 5. lim -

A: Solution

Q: 6 If P(n,3)=336, then n is equal to? *

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Q: 4. Expand the following functions into Taylor series at the point indicated and find their radius of…

A: As per the guidelines we experts are allowed to solve only three sub parts of a problem. kindly…

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A: We have a license plate that consists of a sequence of three letters followed by four digits. The…

Q: 1. Find the following antiderivatives. 4 - 2" dy 49+1 (1) / (b) / tan u + tan u du tan? u – 2

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: Determine if the given sequence converges or diverges. If it converges, what is its limit? (a) {: 5…

A: Qa,b,c asked and answered.

Q: |a1 b1 C1 uppose you know that a2 b2 laz bz C2 6. Find each of the following. Show your steps %3D C3…

A: Given a1b1c1a2b2c2a3b3c3 = 6

Q: 4- = 0

A: Please find attachment

Q: 4. Adam's parents decided to putmoney in bank every month for his studies. They started with $1 and…

A: A sequence is a succession of terms arranged in a definite order according to some defined rule. The…

Q: Trapezoidal Rule. Use the Trapezoidal rule to approximate the integral 2 ,2 2x dx with n = 4…

A: Trapezoidal rule for n=4

Q: R.4. Consider the relation R = {(f, g): f, g:R → R& f(2) < g(2)}. (The notation used here indicates…

A:

Q: 5) A frameless painting with a size of 2 meters by 2 meters hangs on the side of a wall where its…

A: We will find inclined angle or trigonometric ratio of inclined angle in terms of single variable and…

Q: If Span {u,v} = R^2 then {2u,u+v} is a basis for R^2.   Is this statement true?

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Q: Find the supremum and infimum of the set x € R:x = +(-1)" ,n e N} + (-1)" ,n e N}

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Q: 2. What is the solution to the initial-value problem - 0 <x< 00 U = c²u Su(x,0) = 0 (u,(x,0) = xe-*²…

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Q: Indepen-dent Variable Depen-dent Variable Equation Order Degree dy ²+2 = 0 d²y dy + dx e* dx2

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Q: Solve for the general solution of the equation: 2y’’ + 4y’ + 200y = 0. Show all math steps.

A: Here we use basic Auxillary equation to solve this

Q: The matrix 0 3 0 3 -6 A = -6 has two real eigenvalues, one of multiplicity 1 and one of multiplicity…

A: The solution is below.

Q: 1. The Laplace Transform of f(t) = te' sin(2t) is

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Q: Find Components of the Acceleration For the curve defined by T(t) = (e-t cos(t), e' sin(t)) |3D find…

A: To find- For the curve defined by r→t = e-tcost, et sint, find the unit tangent vector, unit normal…

Q: 1. Solve the initial-boundary value problem du 2 32u 0 0 3 dx2 u(0, t) = u (4, t) = 0 t > 0 u(г,0)…

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Q: 2. Find the roots of the give complex numbers and draw the roots (as vectors) in the plane; find…

A: According to guidelines ,we can answer only 3 subparts.

Q: relationship een the number of Hours Tickets

A: The relationship is proportional if  ratio between the variables is constant, that is if x and y are…

Q: The value of cosh(3z+1)dz, where C is the line segment from z=1 C to z= 2i. O a. (-sinh(6i+1)+sinh…

A: We have to find the value of integral,  I = ∮Ccosh(3z+1)dz  ;  where C is the line segment from z=1…

Q: (g) Comparison Test/Limit Comparison Test: 2+ cos² (5n) n -n-1

A: