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We here move to one of the major applications of differential equations both into this class and in general. Modeling is the process of writing a differential equation to explain a
Marvin is helping his teachers plan a ?eld trip. There are 125 people going on the ?eld trip and each school bus holds 48 people. What is the minimum number of school buses they wi
1+1
1. Suppose n ≡ 7 (mod 8). Show that n ≠ x 2 + y 2 + z 2 for any x, y, z ε Z. 2. Prove ∀n ε Z, that n is divisible by 9 if and only if the sum of its digits is divisible by 9.
Evaluate: 30 - 12÷3×2 =
If the radius of a sphere is doubled, the surface area is a. multiplied by 4. b. multiplied by 2. c. multiplied by 3. d. multiplied by 8. a. The formula for the surf
Steve Fossett is going the shores of Australia on the ?rst successful solo hot air balloon ride around the world. His balloon, the Bud Light Spirit of Freedom, is being escorted
Example of division: Divide 738 by 83. Solution: Example: Divide 6409 by 28. Solution: Division could be verified through multiplying
I need an explanation of "the integral, from b to a, of the derivative of f (x). and, the integral from a to b. of the derivative of f(t) dt.
Proof of: ∫ f(x) + g(x) dx = ∫ f(x) dx + ∫g(x) dx It is also a very easy proof. Assume that F(x) is an anti-derivative of f(x) and that G(x) is an anti-derivative of
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