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a building cast shadow 230 meters long at the same time a pole 2 meters high casts a shadow 10 meters long. what is the height of the building.
Show that the curve with parametric equations x=sin(t), y=cos(t), and z=sin^2(t) is the curve of the surfaces z=x^2 and x^2 + y^2=1. Use this fact to help sketch the curve.
A manufacturer finds that the total profit from producing and selling Q units of a product is given by the profit function:
Let f (x,x',x"). Be a function of independent variables x, its first derivative x', and its second derivative xo. Write down an Euler-Lagrange expression for this function.
Make a confidence interval at the 95 percent level
Ken borrowed $6,000 for 4 years at a rate of 7% simple interest per year. How much interest will Ken have to pay after paying back the borrowed amount?
Is the household better off or worse off with the higher interest rate?
A small business buys a computer for $3700. After 4 years the value of the computer is expected to be $200. For accounting purposes the business uses linear depreciation to assess the value of the computer at a given time.
What is the nullity of the transformation of TsubA? What is the rank of the Transformation TsubA.
Rewrite the following system of equations as an augmented matrix. Put the matrix in reduced row echelon form to find the solution to the system of equations.
The robot gets out of the well (carrying the wrench) by climbing up the cable with one end of the cable still attached to the robot. How much work does the robot do in climbing to the top of the well?
The half-life of plutonium-234 is 9 hours. If 70 milligrams is present now, how much will be present in 6 days? (Round your answer to three decimal places.)
Find a rational zero of the polynomial function and use it to find all the zeros of the function.
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