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Maths
IB

Let f(x) = px^2 + qx - 4p, where p is different than 0. Showing your working, find the number of roots for f(x) = 0.

Δ = b2 - 4ac = q2 - 4p (-4p) = q2 + 16p2p different than 0 => 16p2 greater than 0 onlyq2 greater or equal to 0q2 + ...

Answered by Hristo S. Maths tutor
4138 Views

Find an antiderivative to the function f(x) = e^x cos(x)

We see a product of two things, so we should consider integration by parts (IBP). IBP is usually useful when either 1) you can differentiate or integrate one of the two things repeatedly to eventually get...

Answered by Christoffer A. Maths tutor
1013 Views

Find the differential of y=arcsinx

To differentiate we must use implicit differentiation. So: siny=x .Differentiating both sides we get (dy/dx)cosy=1, so (dy/dx)=1/cosy . Using the common identity ...

Answered by Shivum G. Maths tutor
919 Views

Solve equation 5^(2*x) = 5^(x)+5

First lets put all terms on the LHS;52x-5x-5 = 0 (1);Now, to help us observe a pattern, put brackets on each term and separate power of x from its coefficients(5x)2...

Answered by Elvis L. Maths tutor
2751 Views

What is the area enclosed by the functions x^2 and sqrt(x)?

First, let's see how the plot of the functions looks like (draw on whiteboard). Next, let's calculate where the functions intersect by setting x2 = sqrt(x) and solving for x (manipulate by squa...

Answered by Maths tutor
898 Views

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