05/11/22

Linear motion problem
A kid is standing on amerry-go-round 0.825 m fromthe center. Starting from rest,they reach 1.08 rad/s in 3.47 s.What was his linear acceleration?Can someone answer this throughly ?
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05/11/22

A cat falls from the top of a 100 foot tree. the height of the cat, h(t), (in feet) can be modeled by the equation h(t) = -16t^2 +100. Find the velocity of the cat when it lands safely on the ground.
I calculated the time when the cat reaches the ground, 2.5 seconds, but would the velocity be the 100 ft divided by this number? What am I missing?
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05/11/22

Rotational motion

A kid is standing on amerry-go-round, 1.74 m fromthe center, rotating at 2.38 rad/sWhat is his linear velocity?Could someone answer this thourgly ?
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05/11/22

Find the function
Find the function f given that the slope of the tangent line at any point (x, f(x)) is f'(x)and that the graph of f passes through the given point.f '(x) = 1 - (2x/(x^2+1) (0,9)
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12/26/21

Let A and B be subsets of a topological spaces (X,T) If A and B are both open and or both closed and AUB and A ∩B are both connected
Let A and B be subsets of a topological spaces (X,T) If A and B are both open and or both closed and AUB and A ∩B are both connected.Show that A and B are connected
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08/29/21

Use the following identity?
Use the following identity an-1 = (an-1+ aa-2 +...+ a+1) to determine the limit of:lim x -> 1 [(x(1/n)-1)/ (x(1/m)-1)]
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08/15/21

limits and intergral
Given Ln= 4/n ∑^n and i=1 and the bottom [5(3+(i−1)4/n)^2 −7(3+(i−1)4/n)^4], express the limit as n→∞  as a definite integral, that is provide a, b and f(x) in the expression ∫^b and on the bottom... more
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08/08/21

Electromagnetism
Show that for a vector field that has the form E = F(r) r̂, the rotational is zero and the divergent is given by DIV(E) = 2F(r) ⁄ r + dF⁄dr
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07/09/21

What is the acceleration?
Suppose that the velocity of a falling body is v = ks 2 (k a constant) at the instant the body has fallen s meters from its starting point. Find the body's acceleration as a function of s.
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04/30/21

Show that if K≤Gand(G:K)=2,then gK=Kg for every g∈G.
This is a question on my abstract algebra hw. It’s about cosets and index but i have no idea what to do
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04/26/21

Real Analysis mathematics (please help)
Let f:(0,1)→R be uniformly continous. Let (xn) where n goes from 1 to infinity, be a sequence in (0,1). Suppose that limn→infinityxn= 0 . Prove that limn→infinityf(xn) exists
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11/06/20

(abstract algebra)Prove that every matrix in SO3(R) has an eigenvalue λ = 1. Is it true for SO2(R)?
Prove that every matrix in SO3(R) has an eigenvalue λ = 1. Is it true for SO2(R)?
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07/20/20

Show that the property of having a cut point is a topological property
We know a point p of a topological space is a cut point if X\{p} is disconnected.
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06/30/20

Find the value a for which e^a + e^(2a) + e^(3a) + e^(4a) + · · · = 4. Here e is the Euler’s constant
Find the value a for which e^a + e^(2a) + e^(3a) + e^(4a) + · · · = 4. Here e is the Euler’s constant
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06/30/20

Need some help with this Calculus 2 sequence question
Determine whether the sequence converges or diverges. If it converges, find the limit. If it diverges write NONE.
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06/23/20

Let (G, *) be a group. Prove that the map π : G → G defined by π(g) = g * g is a homomoprhism if and only if G is abelian
Let (G, *) be a group. Prove that the map π : G → G defined by π(g) = g * g is ahomomoprhism if and only if G is abelian
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06/19/20

Abstract algebra

Prove that if R is a ring and I ▹ R, then R[x]/I [x] ≃ (R/I )[x] for any indeterminate x.
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06/15/20

Calculus question - tangent line equation of ellipse
Question is from Schaum's Guide to Calculus, p.97 q.18:For the ellipse [MATH]b^2x^2+a^2y^2=a^2b^2[/MATH] show that the equations of its tangent lines of slope m are [MATH]y=mx \pm... more
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04/22/20

An Abstract Algebra Question on the structure theorem
Find an example of an integral domain R (but make sure it isn't a PID) and a module M that is finitely generated but doesn't satisfy the conclusion of The Fundamental Theorem of Finitely Generated... more
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09/23/19

one dimensional motion
A runner is running at 5 m/s. if during the last 100m she accelerates at 0.1 m/s what will her final velocity be?
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09/23/19

physics one dimensional motion
a silly physics teacher drop a textbook a distance of 8m. how long will it take to hit the ground?
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09/18/19

Explain how the rule that states that a^-n = 1/a^n is consistent with the rules that a^m/a^n = a^m-n and a^0 = 1 for a≠0.
Explain how the rule that states that a-n = 1 / an is consistent with the rules that am/an= am-n and a0 = 1 for a≠0.
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09/18/19

h=-t^2+3t+28 If h is height in metres and t is time in seconds, when does the rocket hit the ground?
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09/17/19

A bullet travels at 850 m/s. How long will it take the bullet to go 2.5km? (Round to two significant figures).
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09/13/19

Prove that f(x) = x^3-sin(pi(x))/x has atleast one real zero in the interval [1/2,1]

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