Calculus Answers

R is the region bounded by x = y

2 + 1 and x = 9 − y

2

and the axis

of revolution is x = 9.

Let f(x) =

1 + 2x, x <= 0

3x - 2, 0 < x <= 1 2x ^ 2 - 1, x > 1

Check whether f is discontinuous. If yes, find where? ii) Give a rough sketch of the graph of f

Is the function 𝑓:𝑹 →R defined as f:(x) = (x — 7) (x^3 + 11)is an odd function.

Is the function f : R ➡R, defined by f(x) = 1-|x| is differentiable in its domain.

Is the function f :[3, 4] ➡R defined by f(x) = x^2 -x is a monotonic in its domain

Is the function f defined by f(x) = tan(2x) is a periodic function with period π

verify Rolle's theorem for f on [-1, 1] defined by (x) =x^4 -4x^2 +7

f​ f(t) is the function that represents the temperature shown on the thermometer after t​ seconds, what is the closed interval for this​ application? Assume that the thermometer is at the starting temperature at time t=0.

enter your response here

​(Type your answer in interval​ notation.)

1. Calculate the turning points of the function y=sin3t using differential calculus
2. Show which are maxima, minima or points of inflexion using the second derivative