For the polar equation r = 4+ 2 sin 0 :

Q: Q2: solve the following Linear programming problem using graphical method * Maximize (total profit)…

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Q: to solve the following linear system: -6 3x3 -3 6I1 5x2 + 4x3 2213 -54 -211 + s I3 2,

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Q: Approximate the area under the curve y = x² from z = 1 to z = 3 using a Right Endpoint approximation…

A: Given the curve y =x2 from x = 1 to x = 3  We have to approximate the area under the given curve by…

Q: Question 1 Use Laplace Transform technique to solve the initial value problem y' + 2y = 26 sin 3t ,…

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Q: After 22 people used product A for a month, 17 people were satisfied and 5 people were not…

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Q: Find the extreme values of f subject to both constraints. (If an answer does not exist, enter DNE.)…

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Q: The ODE (3x 44x-6) Y+(6XY+2ys)dx =と

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Q: Find the series solution of y"+ (1+x2)y=0 using the power series method.

A: Consider y=∑n=0∞anxn be the solution. Differentiate the expression of y to obtain the expressions of…

Q: 1-Determine if W is a subspace of Mnn CEMnn, W = {AEMnn : CA'C²= A} %3D

A: It is given that W=A∈Mnn : CAtC-1=A, where At is the transpose of the matrix A. We have to determine…

Q: Q3) If f(x – y,x + y) = 2(x² + y²) prove the following: af (x,y) af (x,y) 2(x +y). %3D ax ду

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Q: fos 4 csc" xdx

A: If y=f(x), then the variable x is called the input of the function, and the variable y is called the…

Q: The pencil holder is to have a base that has the same sides and a surface area of 100 cm'. What…

A: We have to find the dimensions which will maximize the volume.

Q: X, + X2 s 9 X, + 8x, s 16 0マx tx

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Q: Consider the differential equation f(8) – 6 f(2) + 11f(1) – 6f = 0 We transform this differential…

A: Introduction: When a matrix is a square matrix, there is a diagonal. The sum of all the elements in…

Q: ts no real number x such that x6 +x* – 2x² + 1 = 0

A: solution

Q: 5. Let U and V be the relations in R defined by U={(x,y):x² +2y=5} and ={(x,y):2x-y=3}. a) Find VoU.…

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Q: 11-14 Describe in words the surface whose equation is given. 11. 0 — п/4 12. r = 5 13. ф T/3 14. р —…

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Q: B. Two coins are tossed and a ball is drawn from a bag containing a yellow and a red ball a. If L is…

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Q: (x+2y³) d 1. = y de d (dy 2y 2. de (de dy +(1-xf-3/2) y = *+V1-x2 %3D de (1-x

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Q: 1.) Find the area of the parallelogram with vectors as adjacent sides. и %3D (-2,9, —3) аnd v %3D…

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Q: (4b) Prove that there exists no positive integer x such that 2x < x² < 3x.

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Q: QUESTION 4 Suppose you are using a triple integral in spherical coordinates to find the volume of…

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Q: 00 1. Find the interval of convergence of 2 n(n + 1)(x – 2)" n=0

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Q: Find the equation of the line passing through the points A(2,3) and B(-7,4) O a. 9y+x-29=0 O b.…

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Q: 3. Find the value of ø(T) for a solution ø(x) to the initial value problem: y" + 25y = 10 cos 5x;…

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Q: Suppose that we have measured four data points (1,1,1), (1,2,0), (3,-1,0), (0,0, 1) and the our…

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Q: Which of these relations on {0,1,2,3} are equivalence relations or a partial order? Determine the…

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Q: Let V denote the vector space of all functions f : R → R, with the usual definitions of addition and…

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Q: Use Laplace Transform technique to solve the initial value problem y' + 2y = 26 sin 3t , if y(0) = 3

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Q: (b) Prove that for all sets A and B, (AN B)° = A¢ U B°.

A: We have to prove that for all sets A and B, A∩Bc=Ac∪Bc

Q: Prove that a conical tent of a given capacity will require the least amount of canvas when the…

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Q: Plz do complete solution..tysm

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Q: 6. Sometimes an isoparametric map is used for tringle elements. In that case, the reference element…

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Q: A. Determine whether or not the two events are mutually exclusive, write (ME) if mutually exclusive…

A: Mutually exclusive is a statistical term that describes two or more events that cannot occur at the…

Q: 1 f (x) dx = f + f 3 -1

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Q: 5. Find the value of o(e) for a solution o(x) to the initial value problem: a?y"-xy' + y = 4x ln x;…

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Q: DIRECTIONS: If U = {a, b, c, d, e, f, g, h, i, j, k}; A = {a, b, c, e, f,}; B = {b, c, d, e}; C =…

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Q: A certain city has two districts A and B. The populations of the districts are given in the table.…

A: Given, Table showing the population of two districts. No. of police officers employed= 40 We have to…

Q: llustration 25.2: Minimize U = 2x, + 4x, Subject to 4x, + 2x, > 12 3x, + 5x, > 15 5x, + 4x, > 20 *,…

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Q: Find the solution. dy 2y + - :=x?y?sinx dx

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Q: Compute for a real root of 2 cos x – sin vx = i accurate to 4 significant figures using Fixed-Point…

A: Given equation 2cosx3-sinx=14.We have to find the fixed point lteration Method with an initial value…

Q: у" + 6у' — 7у%3 0 7y = 0

A: General solution for the second order homogeneous differential equation..     according to Bartleby…

Q: Find the radius of convergence of Power Series fca) = E n'agn. z"

A: The given problem is to find the radius of convergence of the given complex power series. We can use…

Q: f(x, y) = (-x – 2y, x – 4y).

A: Follow the steps.

Q: onstruct the difference table and find the plynomial that fits the set of points (1,8), ,12),…

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Q: 1.85 True or False: Finitely many of the open sets in the collection { #) |- wa} * 3r 2' 2 would…

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Q: Let X ~ Uniform(-1,1) and Y = X² , find the CDF and PDF.

A: Use the following definitions, to obtain the solution. The cumulative distribution function of a…

Q: ow that (a bn > In (1+ ) (1 + ±) P2 c) Show that: limn->00 (1+ (1+±)· (1 + ) P2

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Q: Prove if f is a nonnegative measurable function, then there exists an increasing sequence (ϕn) of…

A: The given question is related with measure theory. Suppose that f is a non-negative measurable…

Q: Let x1 and x2 be two different solutions of the following linear equation system. Here, if x1 =…

A: Actually xd is the solution of the homogeneous system. Since x1 and x2 both are solution of the…