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y = 5x2 - 4/x3
1/x can be written as x-1, which means our equation can also be written as y = 5x2 - 4x-3.
dy/dx means ...
x2 - 9x ≤ 36
1. Draw a graph.
y = x2 - 9x and y = 36
2. Find the points of intersection by solv...
A definite integral is actually a numerical value, which the represents the area under a graph between two points. For example, if you integrated f(x) between two values (lets call them a and b), the answ...
First combine the two functions so that we have an equation for a to solve:
G(h(a)) = (3^x)^3 + 1 = 3^(3x) + 1 = 244
which gives
3^(3x) = 243
Now...
First, we differentiate y = x^2 + 3x + 2 to find the slope of the curve at any given x point:
dy/dx = 2x + 3
So at x = 1, dy/dx = 2 + 3 = 5
We know that straig...
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