Using geometry, calculate the volume of the solid under z = 49 – a2 – y? and over the circular disk a? + y? < 49.

Q: 2. On his fishing trip Justin takes the boat 12 km south. The fish aren't biting so he goes 4 km wes...

A: Let us consider a right angle triangle ABC Using Pythagoras theorem, AB2+BC2=AC2

Q: 6+ f(x) Use the graph of f(x) to evaluate the following: 5 6 tolt The average rate of change of f fr...

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Q: Find the Fourier Transform of f(x) = {1- x - n<x<0 0 <x<n %3D

A: Given the function, f(x)=0           if, -π≤x≤01-x     if,      0&lt;x≤π We have to find the Fourier...

Q: Question 8. tive of the function Using the limit definition of derivative compute the deriva- 1 f(x)...

A: Given function is fx=3x−1x+1. We have to find the derivative of the given function by using the limi...

Q: Directions: For each equation, locate the y-intercept and use the slope to grâph 1. y = 2x – 3 2. y ...

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Q: 20 1 s+3 5s-3

A: The solution is given as  

Q: (еxp(-ах) when |x| 1 1

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Q: for the function f(Z) z²-2z find the (z+1)° (2 t4) residues at singular points.

A: The residue of f(z) is solved below 

Q: 16. Let f(x) be a differentiable function defined on [0, 2] such that f (x) = f (2 - x) for all x e ...

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Q: Find A - 2B A =

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Q: X + x2 - 3x, = 3 -2x, - x, =-4 4x, +2x, +3x, = 7 Solve the system using Gaussi an elimination:

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Q: (b) In the direction toward the point 14. f(x.y) sin x cos y, P 3D (a) In the direction of v (1, 1)....

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Q: 16 B E 3

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Q: - vx ( P(x) A Q(x)) = 3x (-P(x) V ¬ Q(x)) True O False

A: Since you have posted a multiple question according to guildlines I will solve first question for yo...

Q: If Z =1-j3,Z2=-2+j5 and Z3 =-3- j4, determine in a + jb form: Zi (b) Z3 (a) ZIZ2 (d) Z,Z2Z3 (c) Zi +...

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Q: About how many euros is each U.S dollar worth?

A: We have determine the number of euros in each U.S dollar. We know that 1 dollar=0.87846 Euro

Q: 1 (b) 1+j Evaluate (a) 1+j -25 (1+ j2 (3+ j4 2- j5 Show that = 57+j24

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Q: . A bakery receives an order for in each bag, will 132 bags be enough? 1,600 cookies. If 12 cookies ...

A: Please find attachment for the details solution

Q: . Consider the n-th order linear differential equation un) + an-1un-1) +...+a1u' + aou = 0, (*) with...

A: As per the question we are given a nth order linear homogeneous differential equation in u(t), Whose...

Q: a) Describe the kernel and the image of Jn. (b) Use this to show that ??Jn is diagonalisable when n...

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Q: Find the truth set of each predicate. (If your answer is an Interval, enter ('uoneiou buisn 11 Jaiua...

A: we have to find the truth set of each predicate

Q: Answer Directly Choose the letter that corresponds to your answer Given: Let p. q. and rbe the propo...

A: We know,  A truth table is a mathematical table. It consist column for each input variable and one f...

Q: ee2 +eezz where: Zį = 2 + 3i Z2 = 4 – 2i

A: Here we can use Euler's formula, which states that eix=cosx+isinxande-ix=cosx-isinx

Q: 4. GIVEN THE LINEAR SYSTEM AX=b X,+ 2X,+ Xg=1 2X, + 5X,+4X=2 3x, + 6X, +4X =4 9. DETERMINE A 'USING ...

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Q: 2. Let V be the set of all real numbers with the two operations and defined by u v=u+v- 2 and ku = k...

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

Q: 1. Classify the following differential equations as to ODE/PDE, order, degree, linearity, coefficien...

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

Q: Please use Laplace Transform for y''(t)-2y'(t)+2y(t)=ẟ(t-5), with initial condition y(0)= 0 , y'(0)=...

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Q: Solve the following Integral Equation: x(0)= 3 =-t +

A: Given ∂x∂t=-t+∫0txtdt with x0=3 We will solve the differential equation using Laplace transform

Q: Evaluate L{e" (1 +r° +r)}. 6. 1 A. (s –2) (s-2) (s-2) 6. 1 B. (s+2)* (s+2) (s+2)° 3. 1 6. C. (s-2) (...

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Q: 5. det B - tr (A)

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Q: Find the Laplace Transform of f(t) = [e-t+2t³] %3D 6 + s-1 1 F(s) = s4 12 + s-1 b. 1 ' F(s) s4 C. F(...

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Q: Directions: For each graph, write the equation of the line. 1. 2. 3.

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Q: The function f(r) = In(xª + 4x² + 3) is decreasing on Question 4. the interval(s) a) (0, 0) b) Every...

A: Given function is fx=lnx4+4x2+3. We have to find the decreasing interval. Decreasing function: Let f...

Q: Electric charge is distributed over the disk 22 + y? < 9 so that the charge density at (x.y) is o(x,...

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Q: Ditections; For each equation, locate the y -intercept and use the

A: 7. Given,                     y=-x    

Q: The indicated function y, (x) is a solution of the given differential equation. Use reduction of ord...

A: we have differential equation y''+2y'+y=0 given y1(x)=xe-x  thenwe have to find y2(x)  

Q: 3x + 3y + 12z = 6 x+ y + 4z = 2 2x + 5y + 20z = 10 -x + 2y + 8z = 4

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Q: Find Ao, A1, A2, and A3 in rewriting the function of f(x)=- x20 in terms of Lagure polynomial, x<0 f...

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Q: 1 All points of the equation (x + 2)y" + xy' + y = 0 are ordinary except O1 -2 and 0 O-2 and 1 None ...

A: Correct ans is = - 2 and 1 Please find attachment for the details solution

Q: we can draw a triangle if we connect To e displacement (straight distance) from 428 km, and from Pet...

A: Introduction: The law of cosine is C=cos-1a2+b2-c22ab Where C is the angle between the sides a and b...

Q: Question 3. Notice that the set {1, –1} is a group under multiplication. Fix n > 2. Define p : Sn → ...

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Q: I met Mr. Talagitok a year ago and he told me that he had invested a hundred thousand dollars in a b...

A: Given  P = $100, 000 FV = $2, 000, 000 r = 0.30 t = 5 years

Q: 2. Let u e R™ and v E R be two non-zero vectors, in other words at least one component of the vector...

A: Given: Let us consider the u∈ℝm and v∈Rn are two non-zero vectors and assume A=uvT∈ℝm×n. a) Presume ...

Q: 1 -2 4 5 If T is defined by T(x) = Ax, find a vector x whose image under T is b, and determine wheth...

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Q: Two sets A and B are nonempty disjoint subsets of a set S. If x e S, then which of the foll- (a) It'...

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Q: The coefficient recursion relation for the general series solution of y" – xy' – 3y = 0 about 2o = 0...

A: Given: y''-xy'-3y=0 To find: The coefficient recurrence relation for the general series solution to ...

Q: Kindly give proper explanation how you got the answer Boy has two bags of plums. Each bag has 10 plu...

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Q: Find all equilibria of the continuous-time dynamical system given by i = cos x, x e R. Sketch the be...

A: Given: Let's find all of the equilibria of the continuous-time dynamical system x˙=cosx, x∈ℝ.Draw tr...

Q: Fourier Transform of

A: Fourier Transform:- It is a mathematical transform which decomposes functions depending on space or ...

Q: Solve the following Integral Equation: -t + x(0) = 3 %3D

A: