There are x pink straws, 10 yellow straws, and X + 2 green straws in a bag. A straw is selected at random and the probability of selecting a green straw is 2/5. Find the value of x.

Q: Q3) Evaluate triple integral , S, S(x2 – y?)dz dx dy.

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Q: 1 0 0 0 1 0 If A = k 0 1 then det (A) =

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A: Questions from differential equations.

Q: Consider the 3 x 3 matrix A definced as follows A -8 -1 d. Find the eigenvalues of A° and their…

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Q: Find vahune frome above ZVy-xy, below Z.0(Xy plane) inside xy'el 3.

A: Volume bounded by xy-plane

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Q: 2* If ODE of 2nd order and y. 2 x + 3 e-2x, the suggested y, is: C e2x + c2 e3x Yp = Yp = a, x + a2…

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Q: QI) Evaluate the integral dy dx using polar coordinate

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Q: Determine the length of the curve of the following functions (x²*+ 1)} a, y=- from x = 1 to x = 4 b.…

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Q: 1..Find the number of words of length 7 using letters from {A,B,C,D,E,F} in which no two consecutive…

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Q: Which of the following is the Taylor series expansion of the function f(x) =e-2 with center a 2n n!…

A: Given function is f(x) = e-x2

Q: -4x -4y -3z 19 5x +2y +2z -15 3x +5y -4z 17 = x = y = z =

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Q: Approximate the sum of the series by using the first six terms. n+1 6) n² n=1

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Q: Find area inside out side

A: We have to find the area bounded by Polar curve.

Q: I. Evaluate the following integrals. 1 1. d.x * ¤(9 – In? x)5/2 -

A: We can solve this using substitution method

Q: Let T be the linear transformation defined by T(x1, x2, x3, x4) : = x1 + 6x2 – 7x4. Find its…

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Q: Given the matrix G = and do =|Then do and dị are G – conjugate if dį is given by 1.5 O A Non of…

A: We know that,  Two vectors u and v in Rn are A-Conjugate for a matrix A of size n×n if  uTAv = 0

Q: If they are linearly dependent, find scalars that are not all zero such that the equation below is…

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Q: • Determine and draw the graph of the following equation in R3 : - 2² = 1 4 9 Also show the traces

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Q: a) Let Fand let → (x, y, z) = (x, y, z) S be the surface given by z = 16 – x with and upward…

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Q: Solve the following IVP by the method of Undetermined Coefficients: y" – 3y + 2y = e" sin(x); y(0) =…

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Q: Solve ysinley) dx +r Sintzy) +y) dy =o

A: Solution of the exact differential equation.

Q: SoSEV1+ y³ dydx =?

A: Order of change of integrals

Q: 1. Find the surface area of the cone z = Jx2 + y2 that lies between the plane y = x and the cylinder…

A: Surface area in xy-plane

Q: line re gment corine tin g tuo pents pick a peut in the unit ciscle that are randomdy unit a a cherd…

A: The CDF for r here is obtained as:F(r) = P(R <= r) As the point is uniformly distributed over the…

Q: The center of pressure on a sail is the point (ap, Yp) at which the total aerodynamic force may be…

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Q: Solve D.E =(メーッ)ス

A: We will write the given differential equation in linear first oder ODE and then will solve it using…

Q: Write an equation for the transformed logarithm shown below, that passes through (0,0) and (-3,2) -2…

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Q: If $90,000 is invested in an annuity that earns 5.9% compounded quarterly, what payments will it…

A: Solution

Q: Find the Maclaurin series for f(x) and use it to approximate the integral 1+ x3 correct to 4 decimal…

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Q: H-w.4 Find the Volumes for the fallowing solids heights are defined by ZCX,y) and bases are the…

A: Volume bounded by the region in xy-plane plane

Q: a) Given f(x) =- 3Vx + 2 Find f'(x) using the definition of derivative.

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Q: 4) Solve D.E

A: Solve the homogeneous differential equation

Q: A chance of 1 out of 100

A: 1 comes only once between 1 to 100.

Q: 1. Use a parametrization to express the area of the given surface as a double integral and then…

A: Here we will cylindrical co ordinate system to parametrize the surface  x=r cosθ , y = r sinθ , z=z

Q: Question 2 There are 101 houses on a street. Each house has an address between 1500 and 1699,…

A: This is a simple problem based on simple logic. Let us give a proper explanation to show that two…

Q: A sure event 0.5 0.01 0.1 0.75 0.25 1

A: We know that P(x) = favorable outcome / totel outcomes

Q: Given the function f(x) = 150 sin 4x on the interval (a) fmean (b) fr.m.a. You may use the symbol v…

A: We will integrate the function within given limits and then find f mean and f r.m.s. of given…

Q: Let S be the solid inside the sphere p = 6cos@and below the cone Ø = 1/4 Find the volume of the…

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Q: Find in side r=2 aren oul sde r=l+ Ges 6

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Q: Q5) Find volume of body bounded by z = 0 from below and z = 4 – x from above inside x = y? ,x = 4 .

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Q: Q1) Evaluate the integral * dy dx using polar coordinate Q2) Solve the D.E dy + (xy- xy2)dx 0 Q3)…

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Q: Determine if the following vectors are orthogonal. - 5 1 - 7 V = 7 u = 15 - 2 Are the two vectors…

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Q: Let E be the solid inside the sphere a? + y? + z? = 8z and above the plane z = 4, and let S be the…

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Q: Hw.4 heights ave defined by ECX,y) and bases are the regions bounded by the fottowing fon ttion in…

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Q: Consider an 2n +1 2n + 3 for n EN = {1,2,3,...}. 1. Find a general formula for the kth partial sum…

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Q: QI) Evaluate the integral dy dx using polar coordinate

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Q: O Prove that G(Vatienal number bers)is negrigibleset

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Q: 2 34 5 6 7 8 9 X (b) 9 3 716 5 2 X 4 8 (c) (abc)(cad) (d) (213)(3421)(153)

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Q: office.com received an $8000 invoice dated April 10. Terms were 2/10, 1/15, n/60. On April 14,…

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