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No, I mean, these signs, ≥ or ≤, when do we use them?

Yeah I get that. But what I don't get is when should we put the ">/< or equal to" sign?

I understand b^2-4ac = 0 for equal roots and <0 for no roots. But I get confused when < or equal and > or equal comes out. Does anyone have a list of the discriminant signs?

so if it is a straight line it cannot be differentiated? Can you explain with diagrams?

what do you mean continuous?

Like the question says, when is a function NOT differentiable?

Wow, never thought of that before, thanks!

So I got a question that says find the point of intersection between y=cosx and y=sinx. So sinx=cosx. How do I go from here?

Nope, the question is sinx(3x+1). Also, how do you simplify sinx=cosx? Does it become sinx/cosx = 1?

But for some reason, the answer is: 3cos(3x+1)

It's the former

Differentiate sinx(3x+1). u=sin x du=cos x v=3x+1 dv=3 Therefore, dy=3sinx + 3xcosx + cosx

Oh, when I say square root x, I mean square root (x+1). Sorry for the trouble. May I ask you to do it again? Sorry.

Can you show me how please?

The shaded region in the diagram is bounded by the curve y=square root x+1, the y-axis and the line y=2. Find the volume of the solid formed when the shaded region is rotated about the x-axis.

Determine the values of x for which 2sin3x > or equal to 1.

10^2x - 5(10^x) + 4 = 0 I substituted x for u, and got u=1 and 4. My question is, 10^x=1, so x=0. But 10^x=4, what is x for this?

how do you know you have to multiply it by x?

Can you actually multiply stuff like that?

Yeah, that's the question