Simplify the expression and state the values of x for which your simplification is valid. (a) e − ln x (b) e ln x 2 (c) ln e − x 2 (d) ln 1 / e x (e) exp 3 ln x (f) e x − ln x
Simplify the expression and state the values of x for which your simplification is valid. (a) e − ln x (b) e ln x 2 (c) ln e − x 2 (d) ln 1 / e x (e) exp 3 ln x (f) e x − ln x
Let
f (-1) =
O =- and f (2) = 112.
Enter the exact answers.
(a) Find a possible formula for f if f is linear.
f (x) = 113.75xe115.5
Edit
(b) Find a possible formula for f if f is exponential.
f (x) = 7x4
Edit
A scientist observed that the speed S at which certain ants ran was a function of T, the ambient temperature.† He discovered this could be determined by the formula below where S is measured in centimeters per second and T is in degrees Celsius.
S = 0.2T − 2.7
(a) Using functional notation, express the speed of the ants when the ambient temperature is 14 degrees Celsius.S ( )Calculate that speed using the formula above. (Round your answers to one decimal place.) cm/sec(b) Solve for T in the formula above to obtain a formula expressing the ambient temperature T as a function of the speed S at which the ants run.T =
(c) If the ants are running at a speed of 3 centimeters per second, what is the ambient temperature? (Round your answer to one decimal place.) °C
Precalculus: Mathematics for Calculus - 6th Edition
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