JRHarrison90
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Questions Asked

JRHarrison90:
Group Title
Given 1 is less than or equal x^2 +y^2 less than or equal 2, find the largest and smallest values of the expression z=x^2 +xy+y^2
 updated 2 months ago
 5 replies
 No Medals Yet
Mathematics

JRHarrison90:
Group Title
Let f(t)=sqrt(1+t^2)  t. Find the value of the expression:
f(x)f(y)+f(y)f(z)+f(z)f(x), if xy+yz+zx =1, x, y, and z are all greater than 0…
 updated 2 months ago
 1 reply
 No Medals Yet
Mathematics

JRHarrison90:
Group Title
Left f(t) = sqrt(1+t^2)  t. Find the value of the expression.
 updated 2 months ago
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Mathematics

JRHarrison90:
Group Title
Solve the equation:
 updated 3 months ago
 3 replies
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Mathematics

JRHarrison90:
Group Title
Does the following system have positive solutions:
x^2+xy+y^2=4
x^2+xz+z^2=9
…
 updated 5 months ago
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Mathematics

JRHarrison90:
Group Title
Does the following system have positive solutions:
 updated 5 months ago
 1 reply
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Mathematics

JRHarrison90:
Group Title
Tangency point D of the incircle divides side AC of triangle ABC into the segments of length 4cm and 5cm. Find Area ABC if BD = square root(…
 updated 7 months ago
 1 reply
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Mathematics

JRHarrison90:
Group Title
Prove directly:
Give n that a, b, c is a Pythagorean triple that qa, qb, and qc is a Pythagorean triple where q is an element of R and q do…
 updated 7 months ago
 4 replies
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Mathematics

JRHarrison90:
Group Title
This is dealing with triangular numbers Tn. Hint, try several examples using numbers to get a pattern and make a conjecture.
Prove that 8T…
 updated 7 months ago
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Mathematics

JRHarrison90:
Group Title
Given pn and pm are any any prime numbers, and pn>2 and pm>2 then prove that the sum of any two prime numbers is even.
 updated 7 months ago
 1 reply
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Mathematics

JRHarrison90:
Group Title
Make a conjecture about 8Tn + 1 and then prove it.
Triangular numbers Tn. Hint, try several examples using numbers to get a pattern and mak…
 updated 7 months ago
 19 replies
 1 Medal
Mathematics

JRHarrison90:
Group Title
Prove:
3 divides (n^(3)  n) n is an element of N
…
 updated 7 months ago
 13 replies
 1 Medal
Mathematics

JRHarrison90:
Group Title
Prove directly:
Given that a, b, c is a Pythagorean triple, prove that qa, qb, and qc is a Pythagorean triple where q is contained in R, q …
 updated 7 months ago
 12 replies
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Mathematics

JRHarrison90:
Group Title
1 + 2^1 + 2^2 + 2^3 + 2^4 + 2^5 + ...2^n = 2^(n+1) 1. Prove
 updated 7 months ago
 8 replies
 3 Medals
Mathematics

JRHarrison90:
Group Title
In acute triangle ABC, altitudes AP and CQ are drawn. Find radius ABC if area ABC=18, area BPQ=2 and PQ=2root2.
 updated 7 months ago
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Mathematics

JRHarrison90:
Group Title
Triangular pattern. 1, 3, 6, 10, 21, 28. I know the pattern but how do I get to go negative then positive.
 updated 8 months ago
 3 replies
 2 Medals
Mathematics

JRHarrison90:
Group Title
If a normally distributed random variable x has a mean u=7 and a standard deviation omega = 2. find P(x<6).
 updated 8 months ago
 1 reply
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Mathematics

JRHarrison90:
Group Title
A board is attached to a pivot as shown, 3m from left end. There are two downward forces once located 2 m from the left side and one located…
 updated 8 months ago
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Mathematics

JRHarrison90:
Group Title
A vertebra is subjected to shearing force of 535 N. Find the shear deformation, taking the vertebra to be a cylinder 3.00cm high and 6.00cm…
 updated 8 months ago
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Mathematics

JRHarrison90:
Group Title
A simple pendulum on the surface of Earth is found to undergo 11 complete smallamplitude oscillations in 7.8s. Find the pendulum's length.
 updated 8 months ago
 1 reply
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Mathematics

JRHarrison90:
Group Title
It is weighin time for the local under 85 kg rugby team. The bathroom scale used to assess eligibilty can be described by Hooke's law, whic…
 updated 8 months ago
 32 replies
 1 Medal
Mathematics

JRHarrison90:
Group Title
The lengths of sides of triangle ABC are 11cm, 13cm, and 12cm. Find the length of the median drawn to the largest side.
 updated 9 months ago
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Mathematics

JRHarrison90:
Group Title
Prove
 updated 9 months ago
 1 reply
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Mathematics

JRHarrison90:
Group Title
Prove that n^2 + 5n is divisible by 2 where n is in N.
 updated 9 months ago
 6 replies
 3 Medals
Mathematics

JRHarrison90:
Group Title
Show that any three integers contain a pair whose sum is even.
 updated 9 months ago
 9 replies
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Mathematics

JRHarrison90:
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Find the bisectors of the acute angles of a right triangle whose legs are 24cm and 18cm. (Show work with pictures not just answer)
 updated 9 months ago
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Mathematics

JRHarrison90:
Group Title
Two forces act on an object. The first force has a magnitude of 19.0 N and is oriented 78.0 degrees counterclockwise from the +x axis, while…
 updated 10 months ago
 10 replies
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Mathematics

JRHarrison90:
Group Title
You are a member of a production crew filming a nature explorer in the Rocky Mountains. The explorer needs to swim across a river to his ca…
 updated 10 months ago
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Mathematics

JRHarrison90:
Group Title
Bob has just finished climbing a sheer cliff above a beach, and wants to figure out how high he climbed. All he has to use, however, is a b…
 updated 10 months ago
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Mathematics

JRHarrison90:
Group Title
A speedboat moves on a lake with initial velocity vector v1c=9.53m/s and v1y=2.49m/s, then accelerates for 6.01 seconds at an average accel…
 updated 10 months ago
 No Medals Yet
Mathematics
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