Hw-4 problem SET 2.1 reduce to Pirs oreler and solve 2. (It Cosn 6 govod luck 1a ^_^

Q: z+1 Question 3) Find I: f(z) = integrated on |z + 3| = 2, CCW. z+22 iz + 5i + 7 =9, z² - 4z + 4 + 2i...

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Q: y′′(t)−2y′(t)+y(t)=e2t−t ; y(0)=y′(0)=0

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Q: (D3−D2+D−1)y=0 ;y(0)=0 ;y′(0)=2 ;y′′(0)=2. Find y(π).

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Q: Let X be a continuous random variable with pdf 0 <x <1 1<x < 2 2 < x < 3 ax a f(x) = -ax + 3a otherw...

A: (i) As if f(x) is a pdf then ∫-∞∞f(x)dx = 1⇒ ∫01axdx + ∫12adx + ∫23(-ax + 3a)dx = 1⇒ ax2201 + ax12 +...

Q: Proof the following

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Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by th...

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Q: Performance Task: Draw a Venn diagram by listing the similarities and differences of parameter and ...

A: Parameter:Parameter refers to a measure that describes the population.The numerical values are varia...

Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by th...

A: As per our guidelines, we are supposed to solve only first three subparts. Kindly repost other subpa...

Q: 3. Find the derivatives of y with respect to x: a) y = xe* - e* %3D b)' y = e(4x+;) c) y = e*(sin x ...

A: To find- Find the derivatives of y with respect to x: y = xex - ex y = e4x + 1x y = exsinx + cosx y...

Q: 13. Find the slope-intercept equation of the line pas sing through the point 2. 1) with a slope of m...

A: Q. 13 we have to find the slope intercept equation of the line passing through the point (2, 1) with...

Q: A function is invertible if and only if it is a bijection. True or False?

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Q: differential equation.

A: We will solve this DE by using power series 

Q: Consider SiR" こ @ show using set, that s is linear transternation 2Delermine mairiv [S],

A: It is given that,                   S : R2 →R4  defined by              Sa , b = a , a , b-a , 0 (1)...

Q: 2°) Use integration by parts to prove that, for any positive integer n, (2n + 1) In = 2n In-1. 3°) S...

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Q: Suppose that the instantaneous rate of change of the untreated mosquitoes is 1204 at t=1, where t re...

A: Let the population of untreated mosquitos be M(t). And, M(t) satisfies the equation dMtdt=kM, where ...

Q: Consider the Galois field GF(24), with standard addition, and multiplication defined modulo the (pri...

A: Galois field denoted by GF(q=pn)is a field with characteristic p and a number q of elements. Here Ga...

Q: Find the volume of the solid obtained by rotating the region bounded by y = sin and y = x? from r = ...

A: To find the volume of the solid obtained by rotating the region bounded by the below curve from x=0 ...

Q: Newton Raphson method.

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Q: Solve (D² – 3D + 2) y = 2e3 +4 sec (e-)

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Q: 10.3.3. Let G Z/4Z x Z/6Z, and let H be the subgroup of G generated by (2, 2). (a) What are the elem...

A: Given that G=ℤ/4ℤ×ℤ/6ℤ.i.e. G=ℤ4×ℤ6H is a subgroup of G generated by 2,2i.e. H=&lt;2,2&gt; oG=4×6=24

Q: a) By using Naïve Gauss Elimination. 2x + 4y – 2z = 0 x- y = 2 x + y+ 2z = 4

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Q: Determine the convergence or divergence of the following series. Use Integral Test.

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Q: Is the series convergent or divergent? Prove using direct comparison test. a + 1 ava + Valsin a| a=1

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Q: Problem 13.1. Let X be a topological space; let A be a subset of X. Suppose that for each r E A ther...

A: Given X is a topological space and  A is a subset of X. Suppose that for each x in A there is an ope...

Q: 3. If the GCF(a,b) × LCM(a,b) = 210. What is axb equal to? Explain your answer.

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Q: Consider: f(x) = 48x* – 203.8x³ + 164.623x² + 94.3896x – 88.6618 = 0. Using bisection method, on wha...

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Q: 2. (a) Use the definition of the derivative and the Binomial Theorem to = nx"-1 for any x" is f'(x) ...

A: Since you have asked multiple question, we can solve first question for you. If you want other quest...

Q: The equation of motion of a mass is given as: y = (0.51)e 0.-(0.01)e0.2, where y is the displacement...

A: The bisection method uses the midpoint of an interval to perform the iterations to approximate the r...

Q: Consider the system of linear equations :) -- ( ;) 3 1 8 5 In the following, let A denote the coeffi...

A: The explanation is as follows:

Q: 8. S 4 csc² 4x dx

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Q: Senes anverges dierger. If arergent, find the sum too :). Ë 2n n +2 to

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Q: Evaluate the definite integral using the Newton-Cotes quadrature formula (Trapezoidal Rule and Simps...

A: According to the fundamental theorem of calculus ∫abf(x)dx=F(b)-F(a), where  dFdx=f(x). The function...

Q: Find the general solution: y" – 7y' + 12y = 0

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Q: Let f be a C function on [-7,7]. Prove that the Fourier coefficients of f satisfy K | an |< | bn |< ...

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Q: A sporting goods manufacturer determines that the demand function for a certain brand of skateboards...

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Q: Determine the cardinality of the following sets. For sets which are "infinite", indicate if it is "c...

A: Set of integers is countable infinite  And set of rational numbers is countable infinite 

Q: Directions: show the following 2:) f(x) - xX-16 is discontinuous on the inteval [0,4].

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Q: Let f(x, y, z) = In (x² + y + z?). The level surface f (x, y, z) = In 4 is a: Elliptical cone around...

A: Given  f (x,y,z) = ln( x2+ y+z2),To find : level surface f= ln4

Q: 4. S cot63x dx de 5.55 sin

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Q: Let G Są and let K = {1,(1 2)(3 4), (1 3)(2 4), (1 4)(2 3)}. K is a normal subgroup of G. What is th...

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Q: Let m be a non-zero real parameter, x?e" – myze* = -m defines z as a differentiable function of x an...

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Q: Check that they all have the same set of eigenvalues (which are not distinct). (b) Show that A, has ...

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Q: Solve the given initial-value problem. dx = -7x – y dt dy — 9х — у dt x(1) %3D 0, у(1) 3D 1 x(t) %D ...

A: Given dxdt = -7x - y      ---(1)dydt = 9x - y        ---(2)with x(1) = 0, y(1) = 1

Q: Question 4 Given the equation 2x + a = 20 Find the product of the roots O -10 O 10 O-5 O 0.5

A: Given equation is 2x2 + x = 20

Q: Clear writing please.

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Q: Solve y" (t) – 2y' (t) + 5y (t) = H (t); y (0) = 0 ; y' (0) = 1; where H (t) = t – 2 if 0 2

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Q: Find the volume of the solid obtained by rotating the region bounded by y = sin and y = 1? from r = ...

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Q: Given the following matrices, Find ATx -C -2 1 5 A =|1 3 -4| 5 -1 21 C =|-1 1 4] 2 -4 61 B 4

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Q: Let g : R → R be a bounded function and define f : R\{0} →R by 1 f(x) = g(x)+ Using only the definit...

A: It is given that ;                f : R \ 0 →R  defined by     fx = gx + 1x2 Where,   gx  is a bound...

Q: (sinh x + cosh х)*3 еx

A: Solution:-