Differentiate.

f (x) = cos (x)tan (x)


cos x

Mathematics

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If a projectile is fired with an initial speed of ft/s at an angle ? above the horizontal, then its position after t seconds is given by the parametric equations x = (cos?)t and y = (sin?)t - 16t² where x and y are measured in feet. Suppose a gun fires a bullet into the air with an initial speed of 1024 ft/s at an angle of 30° to the horizontal. How far from the gun will the bullet hit the ground?

(a) 2.3 mi (b) 3.2 mi (c) 28.8 mi (d) 4.5 mi (e) 5.4 mi

Mathematics

Solve the problem. Use 3.14 for ?.A figure skater must trace a figure eight on the ice that consists of two perfect circles, each with a radius of  How far does the skater go one time around the figure eight?

A. 19.98 ft B. 87.92 ft C. 43.96 ft D. 21.98 ft

Mathematics

Determine which of the numbers in the set below are integers.

A.
B.
C.
D.
E.

Mathematics

From the simplex tableau find the basic solution and determine if it is optimal.

What will be an ideal response?

Mathematics