Given that f(x) = sin x, g(x) = cos x, and h(x) = tan x, evaluate the given function. The point (x, ), on the circle , also lies on the terminal side of an angle ? in quadrant II. The point , on the circle , also lies on the terminal side of an angle ? in quadrant III.g(2?)

A. - 
B. - 

C.  
D.


Answer: D

Mathematics

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Let T denote the temperature, in degrees, of a cup of coffee t seconds after it is placed on the counter to cool.  Let  denote, the difference, in degrees, between the temperature of the coffee and room temperature. Then D satisfies the equation of change.

? A: What can you conclude about the function ?B: If the temperature of the coffee is initially 186 degrees, find a formula that gives D in terms of t. Write your answer using the alternative form for an exponential function.C: Find a formula that gives T in terms of t. What will be an ideal response?

Mathematics

Find the integral using tables of integrals. 

A. -  sin4 5x cos 5x -  sin2 5x cos 5x -  sin 10x +  + C
B. -  sin4 5x cos 5x -  sin2 5x cos 5x -  cos 5x + C
C. -  sin4 5x cos 5x -  sin2 5x cos 5x -  cos 5x + C
D. -  cos4 5x sin 5x -  cos2 5x sin 5x -  cos 5x + C

Mathematics

Solve for V1.

VT = V1 + V2 + V3 + V4 V3 = 2 V, V4 = 3 V VT = 20 V, V2 = 2 V a. 6 V b. 18 V c. 3 V d. 21 V

Mathematics

Solve the problem.Shown is the image of a figure under the two successive translations that take P to P' and then P' to P''. Find the original figure. Note again, the given figure is the image after translation. Hint: First find the final image of a point if it were translated by both translations. Then what happens in the reverse process?

A.

B.

C.

D.

Mathematics