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Use spherical coordinates. Evaluate intigrate intigrete intigrate E (x2 + y2) dv, where E lies between the spheres x2 + y2 + z2 = 1 and x2 + y2 + z2 = 9. Use cylindrical or spherical coordinates, whichever seems more appropriate. Find the volume of the smaller wedge cut from a sphere of radius 6 by two planes that intersect along a diameter at an angle of π/ 6.
One hundred stones are placed on the ground 3 feet apart, the first being 3 feet from a basket. If the basket and all of the stones are in a straight line, how far does a person travel who starts from the basket and brings the stones to it one by ..
How many different arrangements of the entries are possible? If the owners of the 1st, 2nd, and 3rd place entries will be awarded prizes of $100, $50, and $25 respectively, how many ways can the prizes be awarded?
give the mean and standard deviation for the coin variable and compare these to the mean and standard deviation for the
In each case make a conjecture about a possible generalisation, and explore it (i.e. attempt to prove your conjectures true or false).
Show that if R and S are commutative rings with 1, phi:R-->S is a homomorphism of R onto S, and I is an ideal of R, then phi[I]={phi(r): r included in I} is an ideal of S.
Find the first five positive deficient square pentagonal numbers. The answer should demonstrate in a table with 3 columns how to get the corresponding m, n and Pm for each of the 5 numbers.
y -34x4 nbsp nbsp y 2 x use the equations above to complete the followingnbspbullthere are many ways to go about
ABCD is a square and two quadrants have been drawn with A and B as centres and AB as the radius - Find the area (in sq. cm) of the shaded region
A fitness ball id delivered in a flat package with a hand pump. The pump inflates the ball at 280cmcubed per pump, to a diameter of 28cm. How many pumps are needed to inflate the ball? Explain how you got your answer.
There is a 5 gallon and a 3 gallon box. You likewise have a hose with boundless water. How are you going to make the 5 gallon have 4 gallons utilizing your things?
Find a point c satisfying the conclusions of the Mean Value Theorem for f(x) = x3 , 0
The simple interest (I) on a certain amount of money (p) that is invested at a specified interest rate (r) for a specific period of time (t) can be found by the formula I = prt. Find the interest on a principal of $400 invested at 5% yearly for 12 ye..
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