aff (² Find (3x + 2y)dA where D = {(x, y) | x² + y² ≤ 25, x ≥ 0}

Q: Identify the y coordinate of the centroid of the shaded area in terms of r₁ r2, and a. a x

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Q: -1 Given the initial value problem (2₂³) , Yo = (-³) dt -5 eigenvalue X = -3, find the general…

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Q: Suppose that f(x, y) = 1² - xy + y² - 1x + 1y with D = {(z,y) |0 ≤ y ≤ x ≤ 1}. 1. The critical point…

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Q: Find all the roots of the equation z6− (α − β −1)z3 − (αβ + 2α + β + 2) = 0

A: In the equation z6−(α−β−1)z3−(αβ+2α+β+2)=0, the given data are the coefficients α, β, and the…

Q: A club has seven members. Three are to be chosen to go as a group to a national meeting. If the club…

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Q: Let g(x)=(2-x3+2x)/3 on the interval [-1,1.1]. Let the initial value be 0 and compute the result of…

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Q: Solve the given integral equation or integro-differential equation for y(t). y(t) + 4 (t-v)y(v) dv =…

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Q: 2 If x² - y² = 9, and xy = 3, what is the value of x + y

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Q: 1 13. Find a QR factorization of A = 4 -2 -45

A: We are asked to solve question number 13 only. So we shall solve only that part.

Q: Rewrite the objective function into a maximization function. Minimize w=y₁+3y2 + Y3 +44 subject to:…

A: Here the given objective function is Minimize w=y1+3y2+y3+4y4. Need to rewrite this objective…

Q: Given F = (M,N,P) is continously differentiable on R^3. Let E be a regular surface with a regular…

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Q: 5. (CLO3) Prove that (n+3) = ("+²) + (+¹) + () for every positive integer n.

A: We need to prove        n+3C2 = n+2C2 + n+1C1 + nC0    We know, for any positive integer n and k…

Q: The vector field F is shown in the xy plane. 47* * 3- نيا Y 2- 1 ब مسہ خمسہ خمسہ X XATI 2 O Positive…

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Q: (a) Show that [Q(√3, i): Q] = 4. (b) Find the three subfields K≤Q(√3, i) such that [K: Q] =2.…

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Q: X'= 10 0 2 1-2 X 32 1

A: The given problem is to find the solution for the given system of differential equations. Given…

Q: 1-Solve the equation.  x-5/x^2 +1/x=6/x

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Q: Let m, n E Z+. If (m, n) = d, then prove that o(m.n)o(d) = o(m)o(n)d

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Q: In the top part of the answer is that plus 502?

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Q: Find the Maclauring series for g(x)=x4cos(3x2) using the known Maclaurin series shown below. Thank…

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Q: At an ice cream stand, you can choose between 5 different cones, 10 ice cream flavors, and 6…

A: Here we can use the following formula to find total number of available choices: If we are choosing…

Q: Find the particular solution of the initial value problem fxy'-y = 2x² y(1) = 5

A: Linear Ordinary DE: A DE is said to be linear if y or x degree is 1The general form of Linear DE…

Q: Given circle K, arc OB has a measure of 98°, arc OY is 28°, arc YD measures 62° and arc DA measures…

A: NOTE: 1) Inscribed angle is always one-half the measure of either the central angle or the…

Q: QUESTIONS y+ (2xy e -2y) dy = 0 a) Show that the given equation is not exact. b) Find an integrating…

A: Here we have to prove the given differential equation is non exact then find an integrating factor…

Q: Which of these is a discrete random variable? The time it takes for 30 randomly selected student to…

A: Discrete random variable: A discrete random variable is one which may take on only a countable…

Q: a2 and p2.

A: One has to find second term of the respective sequence:

Q: Consider the following. (a) Set up an integral for the volume a solid torus (the donut-shaped solid…

A: See the image

Q: a) Find the general solution the corresponding homogeneous differentail equati of the given…

A: One has to find the general solution for the homogeneous part and then the particular solution:

Q: Problem 11. Let Prove that f(x) = Σ k=1 cos(kx) k2 π/2 | Σ f(x)dr = Σ Ο k=0 (-1) k (2k + 1)³*

A: fx=∑k=1∞coskxk2

Q: Solve x 4-[-5323] D -53 -13 4 x(t) = y(t) = x(0) = 4, y(0) = -28

A: The given matrix equation can also be written as       x' = 5x + 2y       y' = -53x - 13y     Or, x'…

Q: 11. If an+1 = 2an + 3 and ao = 1, then a7 = O 513 O 509 O 487 496

A: We will find a7.

Q: 19. How many different arrangements are there of the letters AAAABBCCC? O 1260 O 1430 O 1024 O 920

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Q: 2. Using PERT, determine the early start and late start in respect of all node points and identify…

A: In the PERT network, the earliest (activity) start time is the earliest time that an activity can be…

Q: Find the image of the given line under the complex mapping w = y = x. Graph the image of the…

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Q: Find the slope-intercept form of the equation of the line that has the given properties (m is the…

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Q: Use two of the following sets for each part below. Let X = {a,b,c}, Y = {1, 2, 3, 4} and Z = {s, t,…

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Q: a) In how many ways can 9 people be arranged in a line if there are no restrictions? b) In how many…

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Q: 2) Let A = {1,2,...,n} and let Sn denote the permutations on A. A 2-cycle of the form (a b) is…

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Q: Lety 12 and V₂ Find the distance from y to the subspace W of Rª spanned by v, and v₂. given that the…

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Q: Find + ][a³dA where R = {(x, y) | 25x² +9y² ≤ 225} R

A: The given region is ellepse and we have to convert it into circle. Then we apply the integration.

Q: Creat a function and sketch with the given features. Two vertical asymptotes at x=3 and x= -4, with…

A: Consider f(x)=(x-1)(x-3)(x+4). This function has two vertical asymptotes at x=3 and x=-4 because the…

Q: Calculator Production If the cost to produce x units of calculators is C(x) = 50x + 5000 dollars,…

A: The cost to produce x units of calculator is Cx=50x+5000 dollars. The revenue is Rx=60x dollars. To…

Q: E 121 - 07/12 - 02/1² 1/3 (3) 3 + XV ²₁ (8

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Q: Find the value of the given exponential for the indicated values of the variable. 10t/2 (a) 10/2=…

A: 10t/2   , for t=-2 10-2/2 = 10-1=1/10= 0.110t/2   , for t=-2   10-2/2 = 10-1=1/10= 0.1

Q: ·[F. dr where F = , and C'is given by - Evaluate r(t) = , 0 ≤ t ≤ π

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Q: Consider the vector field F = < x²y³, x³y²; Is this vector field Conservative? Select an answer ✓ If…

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Q: Determine whether each statement is true or false. If a statement is true, give a reason or cite an…

A: There are different statements. It has to be proved whether it is true or false.

Q: 1. Let S be the surface of the box enclosed by the planes = ±1, y = ±1, z = ±1. Approximate Js cos…

A: See the image

Q: , A simple graph with 6 vertices, whose degrees are 2, 2, 2, 3, 4, 4. Is it possible or impossible?…

A: One has to check whether such a degree sequence is possible or not.

Q: A function f is defined by f(x) = 3x + 1. Find the following. (a) f(0) (b) f(4) f(-2)

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Q: Q 1 The region D above lies between the graphs of y = −5 − (x − 1)² and y = −9+ = (x + 1)³. It can…

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