If we neglect air resistance, then the range of a ball (or any projectile) shot at an angle θ with respect to the x axis and with an initial velocity v0, is given byR(θ)= (V0^2/g) sin(2θ)      for 0 ≤ θ ≤ pie/2  where g is the acceleration due to gravity (9.8 meters per second per second).For what value of θ is the maximum range attained? (Note that the answer is numerical, not symbolic.)

Q: Find the coordinates of the inflection point of f(x)=cot(x) that is nearest (but not on) the origin…

A: Consider the given: fx=cotxAn inflection point is a point on the graph at which the second…

Q: The height of a ferris wheel above the ground is modelled by the function h(t) = - 0.5 sin 2t – 3,…

A: Given: h(t) = -0.5 sin 2t - 3 This represents the height of a Ferris wheel above the ground in…

Q: A particle moves along a linear path and its displacement, relative to the start, is modeled by the…

A: In 2pi/3 seconds. displacement of the particle will be

Q: mt) cos(r b) f(x) = /2r(4°

A:

Q: Determine the equation of the tangent for f(x)=sinxcosx at x=π/3. Answers in exact value.

A: Equation of tangent is y-y1 =m(x-x1 )

Q: Suppose θ(t) measures the minimum angle between a clock’s minute and hour hands in radians. Find,…

A: Given that:  θ (t) measures the minimum angle between a clock’s minute and hour hands in radians. An…

Q: Velocity at t=2 is incorrect... could you please show me your steps given that:

A: From the given table

Q: Find the slope of the tangent to the curve y = 4 sin³2x at x = 2/6

A:

Q: Is the following a reasonable description of Newton’s Method: “A root of the equation of the tangent…

A:

Q: Calculate the higher derivative. f "(θ), f (θ) = θ sin θ

A:

Q: 2) Examine the function (5) y= tan X XI2 1 Now approximate the slope of the tangent at x = 2.…

A: