Questions from General Calculus

Q: The graph indicates how Australia’s population is aging by showing the past

The graph indicates how Australia’s population is aging by showing the past and projected percentage of the population aged 65 and over. Use a linear approximation to predict the per...

Q: (a). The curve with equation y2 = x3 – 3x2

(a). The curve with equation y2 = x3 – 3x2 is called the Tschirnhausen cubic. Find an equation of the tangent line to this curve at the point (1, -2). (b). At what points does this curve have horizont...

Q: Differentiate the function. g (u) = √2

Differentiate the function. g (u) = √2 u + √3 u

Q: Differentiate the function. y = 4π2

Differentiate the function. y = 4π2

Q: Find the value of such that the line y = 3/

Find the value of such that the line y = 3/2 + 6x is tangent to the curve y = c√x.

Q: Differentiate the function. y = aev + b/v

Differentiate the function. y = aev + b/v + c/v2

Q: Differentiate. y = c cos t+ t2 sin t

Differentiate. y = c cos t+ t2 sin t

Q: Differentiate the function. u = 5√t + 4

Differentiate the function. u = 5√t + 4√t5

Q: Evaluate limx→1 x1000 – 1/x - 1

Evaluate limx→1 x1000 – 1/x - 1

Q: Differentiate the function. v = (√x + 1/√

Differentiate the function. v = (√x + 1/√x)2