(a)... how quickly is the radius changing? (That is, what is the instantaneous rate of change of the radius with respect to time?) (b) ... how much water is inside the balloon? ... how quickly is the amount of water changing? (Is it increasing or decreasing?) Please include appropriate units with your answers. 4. Radians are more appropriate than degrees when using calculus. In this problem, you'll see why. Suppose we define a function g(x) = cos(r°), which can be rewritten in radians as s(π radians q(x) = cos = COS TX

Q: Express cot 0 (e in quadrant III ) in terms of cos 0. cos e V1+cos²e cos e V1-cos²e cos e /1-cos²e…

A: we have to express cot θ in term of cos θ where θis in third quadrant we know that cot θ = 1tan θ…

Q: Question 2: The velocity of a dragster t sec after leaving the starting line is 100te -0.2t ft/sec.…

A:

Q: a. The input of the tangent function is ? v and the output is of the tangent function is ? v b.…

A: slope = m =tanθ    and function fθ=m =tanθwhere θ is input and m is out put

Q: Gtven 0 = -". Evaluate the 6-Trig functions. Start by drawing the angle in its correct quadrant and…

A:

Q: In a right triangle, which of the following is the definition of the tangent ratio? opposite…

A: To find :                   In a right angle triangle, define the tangent

Q: (a) A plane is traveling due east and passes over a radar station. When the plane is directly over…

A: using trigonometric identity

Q: a. How fast is the top of the ladder sliding down the wall when the base of the ladder is 12 feet…

A: It is given that the length of ladder is 13 foot which acts as the hypotenuse of the right angled…

Q: Ex. 5 A bicycle wheel turns at a rate of 90 revolutions per minute (rpm). Determine the angular…

A: