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a water tank in the form of an inverted cone is being emptied at the rate of 2 cubic feet per second. the height of the cone is 2.5m and the radius is 1.5m. find the rate of change of the water level when the depth is 2m. ( answer must be in english term)
Set-up the integral for the area A(R) of the region R bounded by the circles y
2 + x
2 = 1, and y
2 + x
2 = 4,
below the x-axis and to the left by the y-axis using the vertical strip.
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.)
