Let X have a binomial distribution, X~ Binomial (n, p). (a) Compute Var(Xex). (b) Compute E 1 X + 1 = - 1 − (1 − p)n+1 (n + 1)p

Q: (4/7 cis(-30)) a. 2/2 cis(-60)

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Q: у" +10y' + 25у %30

A: Given the differential equation is y" + 10y' + 25y = 0. Here the auxiliary equation is m2 + 10m + 25…

Q: Find the area of rectangular plot if it's length is (5×+8y³) centimeters and it's width is (5×-8y

A: The area, A of a rectangle is given by A=lw, where l is the length and w is the width of the…

Q: State the appropriate null and alternative hypothesis and find the critical value for a left-tailed…

A: Given Information: Significance level α = 0.10  Sample size (n) = 23 Population standard deviation σ…

Q: hat the width is 3 cm less than th he height is 2 cm more than trip Vrite the equation for the…

A: Please refer to the image below

Q: 2) ỳ + ỳ = 3x²

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Q: у" - у' — 2у %3D —4

A: To solve the given ODE.

Q: solve by completeing the sqaure  9y^2+30y-32=0

A: Given:

Q: How far is the center equation 10x^2 -y^2 -5y -11 to its focus?

A: Note: It is assumed that the equation, 10x2-y2-5y-11 is 10x2-y2-5y-11=0.   The conics are generated…

Q: uate ∫c 5x^4 ds, where C is the line segment from (1,3) to(2,6).

A: In this question, the concept of line integral is applied. Line Integral The function to be…

Q: What are the coordinates of the vertex for the given equation in standard form? y=x^2+6x+5

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Q: DIVide. (-12:,7 + 20:^») - (42²v) Simplify your answer as much as possible.

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Q: 3x^(2)+4y^(2)+18x+18y+19=0   Find the coordinates of the latus rectum

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Q: 4. Express (-2/3 + j2) in rectangular form.

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Q: Solve using quadratic formula: z^2 + 2z+ 2*

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Q: What is cubic equation

A: A cubic equation is an equation whose highest degree is 3.

Q: C08QX dX

A: solution:-∫cos3x dxwe know that cos3x=4cos3x−3cosxcos3x=cos3x+3cosx4=∫cos3x+3cosx4 dx

Q: Write the standard equation for the circle of radius 2v3 and centered at point (-2, 4)

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Q: у" + 16у 30.

A: Given the differential equation y" + 16y = 0 Here the auxiliary equation m2 +16 = 0

Q: Change 8x-2y^2= 2x^2 to polar form. Solve for r or some power of r.

A: The equation in the rectangular coordinates is given by 8x-2y2 = 2x2 To evaluate : The equation in…

Q: Parallel to y = 11, through (-12,3)

A: The slope of line y=k is 0. Any two parallel lines have equal slopes.

Q: Solve (D²+3D_^) y = 75i12x

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Q: If (4x² +xy) :(3xy – y² ) = 12 :5, find x:y

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Q: у" - 2y' - Зу %3D 4x -5 + 6хех |

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Q: Identify the focus of (y-3)^2 = 8(x-2)

A: Our Aim is to identify the focus of (y-3)2=8(x-2)-(i)

Q: Computer y" if x^3+y^3=2

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Q: Provide an appropriate response. From 10 names on a ballot, a committee of 4 will be elected to…

A: Given information- We have given that we have 10 names on a ballot. We have to form a committee of 4…

Q: what is the latus rectum of the equation 9x^2 - y^2 - 2y - 10 = 0 a. 18 b. 162 c. 2/3 d. 2/9

A:

Q: How many ordered pairs of solutions (a,b) are there such that: a is a root of the quadratic equation…

A:

Q: бх - бу %3D -6 бх- Зу %3D 12

A: Here we will find solution of given system of equations, i.e. value of x and y,