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Show from the definition that f : R → R given by f(x) = x^1/2 is differentiable with f'(x) = (1/2)*x^-1/2.
Two wine merchants enter Paris, one of them with 64 casks of wine, the other with 20. Since they have not enough money to pay the custom duties, the first pays 5 casks of wine and 40 francs
A machine can be leased for 4 years at $1000 per month payable at the beginning of each month. Alternatively, it can be purchased for $43,000 and sold for $5000 after 4 years. Should the machine be purchased or leased if the firm's cost of borrowi..
the resident population of south california (in thousands) was 3860 in 1997 and 4107 in 2002 .let t equal 7 represent 1997. write linear model for the population as afunction of time t.
humorous
Find the general homogeneous solution
Pauline takes a loan of S dollars at an interest rate of r percent per month, compounded monthly. She plans to repay the loan in T equal monthly installments of P dollars each.
Determine the cubic (up to and including the third power of t) approximation of f(t) and calculate the accurate and approximate values of f(0.02) giving your results correct to 3 decimal places.
What are steps in derivation of formula for mass as fundamental quantity unit
While walking along at a constant speed, project a ball vertically into the air. If you continue to walk without changing your speed or direction, where will the ball land? Draw a diagram of the balls flight, indicating the forces acting on it.
The width of a rectangular garden is 2 feet shorter than one-half its length. If the perimeter of the garden is 32 ft., what are the dimensions of the garden?
You discover a planet orbiting a distant star that has about the same mass as the Sun. Your observations show that the planet orbits the star every 67 rm days . What is its orbital distance?
Given a line L and a point A in the plane, construct the line perpendicular to L that passes through A.
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