02/04/25

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.
x=3y^2, x=3; about x=3
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03/04/24

Volume of Ball in R⁴
How do you calculate the (four-dimensional) volume V = r⁴⋅π²/2 of the ball B(r) = {(x₁,x₂,x₃,x₄) ∈ R⁴: x₁²+x₂²+x₃²+x₄² ≤ r²}?
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11/19/23

Maximum likelihood estimator
Let x1, . . . , xn be a random sample of a Poisson distributed population X ∼ Po(λ) with λ > 0. Find the maximum likelihood estimator for λ.
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09/27/22

Find upper bound and lower bound? (statistics)
A simple random sample of size n is drawn. The sample​ mean, x​, is found to be 19.2​, and the sample standard deviation, s, is found to be 4.8.Construct a 95​% confidence interval about μ if the... more
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09/27/22

How do I use the properties of inverses?
Use properties of Inverses to verify the identity (assume all indicated operations are defined): A(A^-1 + B^-1)B(A+B)^-1= In
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09/24/22

Compute the work required to stretch a spring from equilibrium to 11 cm past equilibrium, assuming that the spring constant is k = 100 kg/s^2.
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09/23/22

Probability and statistics

On one large campus, 18% of students surveyed said that they spend less than an hour a night studying. If three students are chosen randomly, find the following probabilities.Part 1 of 2(a) What's... more
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09/23/22

Sets and probability

LetU=126.27, 28, 29, 30, 31, 32, 33, 34, 35)A = (29, 30, 31, 32)B = (126,28, 30, 32, 34)C= (27, 29, 30, 34, 35)Find the set.(A' U B)' U C' =
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09/23/22

Stat question 4
About what percentage of the area under the curve of the standard normal distribution is outside the interval z=[−2.96,2.96]z=[-2.96,2.96] (or beyond 2.96 standard deviations of the mean).
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09/07/22

(2x^3-4x^2+2) divided by 2x-2
Can you do the Tabular Method
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09/06/22

Find the value of a that will make h(x) continuous
2x2+ax+3 ; x < -43x+a ; x >= -4
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09/06/22

Distance between Two Points
Find the distance the point P(-7,2,3) is to the line through the two points Q(-2,-1,3) and R(-5,0,0). If you could explain the steps you took to solve the problem, that would be very helpful. I... more
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08/10/22

Compute the average of f(x) = e^2x / 1 + e^2x over [0,1].(Be sure to set up the definite integral first.)
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07/26/22

Find the volume enclosed by the sphere x ^ 2 + y ^ 2 + z ^ 2 = R ^ 2 where R > 0 . (Hint: Use spherical coordinates)
Find the volume enclosed by the sphere x ^ 2 + y ^ 2 + z ^ 2 = R ^ 2 where R > 0 . (Hint: Use spherical coordinates)
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07/17/22

Find the centroid of a uniform circular wire made from a wire with total length of 10x meters in a form of: a. A semi-circle b. Quadrant of a circle
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07/16/22

The accompanying figure shows a spherical cap of radius ρ and height h cut from a sphere of radius r. Show that the volume of the spherical cap as below using the concept of integral calculus.

[hint: revolve an appropriate portion of the circle x^2+y^2=r^2 about the y-axis.]a.) V=1/3*πh2(3r-h)b.) V=1/6*πh(3p2+h2)
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07/16/22

If sinh(x) = 12/35 , find the values of the other hyperbolic functions at x.
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06/22/22

3 forces, 5N, 6N and 7N act on a particle which remains in a state of equilibrium. What is the angle between the 5N and 6N force?
how do I do this using vectors?
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03/19/19

A triangle determinant that is always zero?
How do we prove, without actually expanding, that $$\\begin{vmatrix} \\sin {2A}& \\sin {C}& \\sin {B}\\\\ \\sin{C}& \\sin{2B}& \\sin {A}\\\\ \\sin{B}& \\sin{A}&... more
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03/18/19

Geometric justification of the trigonometric identity $\\arctan x + \\arctan \\frac{1-x}{1+x} = \\frac \\pi 4$?
The trigonometic identity $$ \\arctan x + \\arctan \\frac 1 x = \\frac\\pi 2\\quad\ ext{for }x>0 $$ can be seen to be true by observing that if the lengths of the legs of a right triangle are... more
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09/02/18

Use euclids division algorithm to find the hcf of 504 and 980
It carries 2 marks
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08/18/18

factorise 8z^౩ -(x-y)^3-(y+z)3-(z-x)౩
please solve
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12/14/17

about the integral of (cotx)^3 why cant i add the power and divide by the new power and the derivative of cotx here
as far as i know that any first degree function with a power the integral of it is adding power and division by the new power is that right?
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12/14/17

What is the answer to 221^2010
I need help with this math problem. I cant figure it out.
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12/12/17

lagrangian equation help( urgent)
A consumer’s demands x, y for two different goods are chosen to maximize theutility function𝑈(𝑥, 𝑦) = √𝑥 + √𝑦 (x≥ 0, y ≥ 0)subject to the budget constraint 𝑝𝑥 + 𝑞𝑦 = 𝑚 (where p, q, m >... more
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