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Given: 𝑓(𝑥) = 𝑎𝑥^3 + 𝑏𝑥^2 − 3 and 𝑓"(−2) = 0. If it is further given that the point (−3; 6) lies on the graph of 𝑓. Show that 𝑎 = 1/3 and 𝑏 = 2.

We start off by finding the first derivative of equation f(x) = ax³ + bx² - 3: f'(x) = 3ax² + 2bx. We now take the second derivative of equation f, because we have been to...

Answered by Neil L. • Maths tutor

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Solve the simultaneous equations: 2x + y = 18 and x - y = 6

We need to find a value of x to sub into equation 1, so add y to both sides of equation 2: x = 6 + y. Then sub this into the x value of equation 1 and solve to find y: 2(6 + y) + y = 18. 12 + 2y + y = 18....

Answered by Anna W. • Maths tutor

2599 Views

Differentiate sin(2x)

2cos(2x)

Answered by matthew h. • Maths tutor

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There are 6 orange sweets in a bag of n sweets. Hannah picks two sweets at random without replacement, and they are both orange. Show that n^2-n-90=0

This is a multi step question that requires both good understanding of probability and maniuplating algebraic fractions.PROBABILITYThe first step is recognizing that as there are 6 orange sweets out of a ...

Answered by Ben N. • Maths tutor

2433 Views

Solve the simultaneous equations. 2x + y =10 and x + y = 4

We should eliminate one of the variables. We do this by writing them on top of one another.3x + y = 10x + y = 4 -
2x = 6 We want to know what X is and what Y is. We currently know what 2x is...

Answered by Grace N. • Maths tutor

4901 Views