A quiz using Qcmath.

In answers use function names cos, sin, exp, ln etc.
Question no. 1 : Write the mathematical expression for the integral of sin(x) from 0 to b
Question no. 2 : What is the derivative of ln(x), the natural logarithm of x
Question no. 3 : State a formula for the following power series when the numerical value of q is less than 1: a+a*q+a*q^2+...
Question no. 4 : (This is an example illustrating an important property of QCmath: the restriction that in an answer which is an algebraic expression a function can have only variables as arguments, not expressions - not even numbers).
Write down the partial derivative of y*sin(cos(x)) with respect to the variable x using for cos(x) the notation cx when cos(x) is a function argument
Question no. 5 : Write down the formula for the derivative of the fraction x/sin(x)
Question no. 6 : Write an expression in QCmath containing the first three terms of the Taylor series for cos(x) with starting point x = 0
Question no. 7 : Reduce the expression: (1+2*x^2+x^4)/(1+x^2)
Question no. 8 : Write an expression in QCmath for the area under the curve defined by y * exp(-y), with y taking all values between 0 and b
Question no. 9 : Write an expression for the 3rd derivative with respect to x of the expression y^2*sin(x)
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