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f(x) is defined by f(x) = 3*x^3 + 2*x^2 - 7*x + 2. Find f(1).

f(1) = 3 1^3 + 2 1^2 - 7*1 + 2 = 3 + 2 - 7 + 2 = 0
DM
Answered by Dragos M. • Maths tutor
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What is 16^(3/2)

The rule for simplifying indices is to take them one at a time, so separate the problem into 16^(1/2)^3, which is 4^3, which is 64.
JB
Answered by Jonah B. • Maths tutor
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A curve has equation y = 20x - x^2 - 2x^3 . The curve has a stationary point at the point M where x = −2. Find the x- coordinate of the other stationary point of the curve

A stationary point on a curve is when the differential of the equation of the curve = 0. In other words when dy/dx = 0Take the equation in the question: y = 20x - x 2 - 2x 3 A simple rule to find the differe...
HJ
Answered by Henry J. • Maths tutor
4512 Views

Let a = 4b + 5(c - b). Find the value of c when a = 8 and b = 7.

a = 4b + 5(c - b) - question8 = (4*7) + 5(c - 7) - insert values given in question8 = 28 + 5c -35 - multiply and expand brackets8 - 28 + 35 = 5c - take away 28 from the left and right-hand side of the equati...
GH
Answered by George H. • Maths tutor
4521 Views

Find the equation of the line through the following points: (-2, -3) and (1, 5)

Note the formula: y - y 1 = m(x - x 1 )x, y, x 1, y 1 refer to the values of your given coordinates. 'm' symbolises the gradient of the line you are asked to findRearrange the formula to make 'm' the subject...
TO
Answered by Tise O. • Maths tutor
3716 Views