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using the substitution u=6-x^2 integrate (x^3)/(6-x^2)^1/2 with respect to x, between 1 and 2

First we calculate du/dx = -2x and rearrange to get dx as the subject, dx=du/(-2x). Now we change the limits of integration because we are now integrating with respect to u. So the bottom limit will be u(1) ...
DB
Answered by Daniel B. • Maths tutor
5646 Views

Solve the quadratic equation 2(x^2) + 3x + 1 = 0

There are two ways to solve this equation. In the first method, we can simplify the quadratic by observation into two linear equations multiplied together, giving us (2x + 1)(x + 1) = 0. We can then set each...
JC
Answered by Joe C. • Maths tutor
5321 Views

Solve 3x^2 + 5x +2

By the quadratic formula, where a = 3, b = 5, c = 2 x = -2/3 and x = -1
HP
Answered by Hester P. • Maths tutor
4958 Views

What is the passive periphrastic and how do I translate it?

The passive periphrastic is a Latin construct to express a sense of necessity in an action. It's called passive because it is expressed in a passive tense, so it's usually better to change it back to its act...
SG
Answered by Stefania G. • Latin tutor
29638 Views

A circle has the equation x^2 + y^2 = 25. There is a point P on this circle with coordinates (4,3). A line is drawn tangental to the circle at point P. This line crosses the x axis at point Q. Find the co-ordinates of Q.

(7,0)
MS
Answered by Matthew S. • Maths tutor
7738 Views