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The Timbuktu post office has only 3 cents and 7 cents stamps having run out of all other denominations. What are the six amounts of postage that cannot be created? How do you know
Find the area of PARALLELOGRAM ? A parallelogram is a four-sided shape, of which the opposite sides are parallel. (Because they are parallel, opposite sides also have the same
Evaluate following indefinite integrals. (a) ∫ 5t 3 -10t -6 + 4 dt (b) ∫ dy Solution (a) ∫ 5t 3 -10t -6 + 4 dt There's not whole lot to do here other than u
Draw the direction field for the subsequent differential equation. Draw the set of integral curves for this differential equation. Solution: y′ = y - x To draw direct
us consider the following mass-spring-damper system: md2xdt2+cdxdt+kx=0 with m=5 kg as the mass of the body, k=1.6N/m as the spring constant and two different values of c.
what is the difference between North America''s part of the total population and Africa''s part
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Mark has three 4 1/2 oz cans of tomatoes and ?ve 8 1/4 oz cans. How many ounces of tomatoes does Mark have? Ignore the fractional parts of the mixed numbers at first and mul
Let f : R 3 → R be de?ned by: f(x, y, z) = xy 2 + x 3 z 4 + y 5 z 6 a) Compute ~ ∇f(x, y, z) , and evaluate ~ ∇f(2, 1, 1) . b) Brie?y
Below is the sketch of a function f ( x ) . Sketch the graph of the derivative of this function f ′ ( x ) . Solution : At first glance it seems to an all however impossib
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