Calculus Answers

Given the scalar defined by Φ(x, y, z) =3x²z - xy² + 5, find Φ at the point (-1, -2, -3)

Differentiate with respect to x: \[f(x) = (ax{^3} + bx)\]

find the nth derivative of a^mx

Discuss the differentiation of function like KX and log X.

Evaluate Integration of (x^2cosx dx) from '0 to π/2'

Given the square root of (x + 2) = 3a ..find x in terms of a

A plane flies between two cities.
The plane leaves London at 0850, flies to Glasgow and returns to London arriving at
1305
The time spent in Glasgow is 45 minutes.
The second flight is 10 minutes longer than the first flight.
What is the arrival time in Glasgow of the first flight?

A solid cone has a base radius of 4x and a height of 3x.
The total surface area of the cone is the same as the surface area of a sphere with a
radius of y.
Show that y = 3x.

Tim has drawn the graph of y = 2x² – x – 23

What line should be drawn on the graph to solve the equation x² – x – 12 = 0?

Tim has drawn the graph of y = 2x² – x – 23

What line should be drawn on the graph to solve the equation x² – x – 12 = 0?