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Is there an easy way to remember all the basic graphical transformations?

Well yes! Say you're given an equation of y=f(x), you begin by sketching the graph if plotting it is not part of the question, the reason you do this is to get an idea of what the graph looks like (turning p...
DM
Answered by Dimuthu M. • Maths tutor
4061 Views

How do we integrate x^2?

(x^3)/3 + C
MK
Answered by Mueen K. • Maths tutor
4170 Views

Solve for x, 5sin(x) - 3cos(x) = 2 , in the interval 0<x<2pi

5sin(x)-3cos(x)=2 Express in the form Rsin(x-@) = Rsin(x)cos@ - Rcos(x)sin@ Rcos@ =5 Rsin@ = 3 tan@ = 3/5 @=tan -1 (3/5)= 0.540 R = sqrt(5 2 +3 2 )= sqrt(34) sqrt(34)sin(x-0.540) = 2 sin(x - 0.540) = 0.343 L...
SM
Answered by Stefan M. • Maths tutor
4926 Views

Use implicit differentiation to find dy/dx of: 2(x^2)y + 2x + 4y - cos((pi)y) = 17

Tackle this problem one part at a time: First differentiate 2x 2 y using the product rule, showing dy/dx(2x 2 y) = 4xy + 2x 2 (dy/dx). After this, the remainder of the question is easier, as there are no mor...
NE
Answered by Nick E. • Maths tutor
6066 Views

Why don't I have to put the +C after my answer for a definite integral?

When you evaluate a definite integral, we can think about using the &quot;+C&quot; and see what happens. Let's take (INT)2x dx between 2 and 3. We then have [x 2 +C] between 2 and 3. For x=3 we have 9+C, and...
JC
Answered by Joseph C. • Maths tutor
7520 Views