A particle is moving with the given data. Find the position of the particle.
v (t) = sint - cost, s(0) = 0
s(t) = 1 - cost - sint
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Use Gauss's Divergence Theorem to calculate 
.F(x, y, z) = 3xi + 3yj + 2zk, S is the cube 0 ? x ? 1, 0 ? y ? 1, 0 ? z ? 1.
A. 10 B. 8 C. 1 D. 22
Decide whether the equation is "conditional," an "identity," or a "contradiction." Give its solution set.-8s + 34 + 4(2s - 8) = 0
A. Identity; {all real numbers} B. Conditional; {all real numbers} C. Identity; ? D. Contradiction; ?
Use the Principle of Mathematical Induction to show that the statement is true for all natural numbers n.Use the Principle of Mathematical Induction to show that the statement "5 is a factor of 7n - 2n" is true for all natural numbers. (Hint: 
What will be an ideal response?
Find all zeros of the function and write the polynomial as a product of linear factors.f(x) = x3 - x2 + 16x - 16
A. f(x) = (x - 1)(x + 4)(x - 4) B. f(x) = (x - 25)(x + i)(x - i) C. f(x) = (x - 1)(x + 1)(x + 16) D. f(x) = (x - 1)(x + 4i)(x - 4i)