Suppose that ln 2 = a and ln 5 = b. Use properties of logarithms to write each logarithm in terms of a and b.ln 

A. a + b
B.
C. b - a
D.


Answer: C

Mathematics

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Solve the problem.Find a curve through the point  whose length integral, 1 ? x ? 2, is 

A. y = 4x5
B. y = x5
C. y = x4
D. y = 4x4

Mathematics

Estimate the value of the quantity.The velocity of a projectile fired straight into the air is given every half second. Use right endpoints to estimate the distance the projectile travelled in four seconds.

A. 903.6 m B. 942.8 m C. 471.4 m D. 451.8 m

Mathematics

Apply Green's Theorem to evaluate the integral.(6y + x) dx + (y + 2x) dyC: The circle (x - 6)2 + (y - 2)2 = 25

A. 100? B. -40 C. -100? D. -308

Mathematics

Provide an appropriate response.Find the absolute maximum and minimum values of f(x) = 2x - ex on [0, 1].

A. Maximum = ln 4 - 2 at x = ln 2, minimum = 1 at x = 0 B. Maximum = 0 at x = ln 2, minimum = 1 at x = 0 C. Maximum = ln 4 - 2 at x = ln 2, minimum = -1 at x = 0 D. Maximum = ln 2 - 2 at x = ln 2, minimum = -1 at x = 0

Mathematics