math college
Find the perimeter and area of a right triangle if the shortest side is 16 in. and the longest side is 34 in. Include correct units with each part of your solution.
Physics
A 100-g aluminum calorimeter contains a mixture of 40 g of ice and 200 g of water at equilibrium. A copper cylinder of mass 300 g is heated to 350 C and then dropped into the calorimeter. What is the final temperature of the calorimeter and its contents if no heat is lost to t...
Physics
An elevator operates on a very slow hydraulic jack. Oil is pumped into a cylinder that contains the piston. The piston lifts the elevator as the internal cylinder pressure (P2) rises in comparison to the outside pressure (P1=101,325 Pa or about 14.7 psi). If the piston can lif...
Multivariable Calculus - Green's Theorem
Compute the line integral of F = <X^3, 4X> along the path from A to B. The path from A to B is not closed, it starts at A which has coordinates (-1,0) goes to (1,0) then goes up to (1,1) then left to (-2,1) then down to (-2,-1) and finally stops at B at (-1,-1). Hint: To...
math
A seismograph 300 km from the epicenter of an earthquake recorded a maximum amplitude of 5.9 102 µm. Find this earthquake's magnitude on the Richter scale. (Round your answer to the nearest tenth.)
Calculus
How would you plot the gradient vector field of f(x,y)=x^2-3*x*y+y-y^2 on the domain [-4,4]*[-4,4] in Mathematica 7? I know the function is "VectorPlot" (h t t p : / / g o o . g l / p c S f), but I don't know how to isolate the x and y inputs because of the -3*x*...
Calculus
Use the cross product to find the area of the triangle with vertices: P=(1,1,5) Q=(3,4,3) R=(1,5,7)
Calculus III
Find an equation of the plane passing through the three points given. P=(5,1,1) Q=(1,1,2) R=(2,1,1)
Calculus III
Use the cross product to find the area of the triangle with vertices: P=(1,1,5) Q=(3,4,3) R=(1,5,7)
Calculus III
P=(2,1,0) Q=(1,5,2) R=(-1,13,6) Are P, Q, and R collinear? If not, find a vector normal to the plane containing them.
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