Solve the problem.Given f(x) = ln x, evaluate the following. (a) f(e6) (b) f(eln 3) (c) f(e5 ln 3)

What will be an ideal response?


(a) 6 (b) ln 3 (c) 5 ln 3 or ln 243

Mathematics

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Solve the problem.A force of magnitude 7 pounds pulling on a suitcase makes an angle of 60° with the ground. Express the force in terms of its i and j components.

A. -6.667i - 2.134j B. 6.062i  + 3.500j C. 3.500i + 6.062 j D. 0.5000i + + 0.8660j

Mathematics

Solve the problem.In a certain coastal basin, the sea water contains 3.9 grams of salt per 1000 milliliters of water. How many grams of salt would be in 5 liters of the sea water?

A. 195 grams B. 19.5 grams C. 1950 grams D. 0.195 grams

Mathematics

The torsion of a curve defined by r(t) is given by . Find the torsion of the curve defined by r(t) = cos2ti+sin2tj+5tk.

What will be an ideal response?

Mathematics

Provide an appropriate response.What is the period of the function y = sin 5x?

A. 360° B. 72° C. ±1 D. 5

Mathematics