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Solve the following definite integral: f(x)=3e^(2x+1) for the limits a=0 and b=1, leaving your answer in exact form.

First set up integral. Do not forget dx! Int(f(x)) between 0 and 1 Optionally take out factor of 3 to simplify problem. Solve using substitution and the exponential rule. Integrated function should be (3/2)e...
FB
Answered by Fraser B. • Maths tutor
4738 Views

How do you convert between fractions, decimals and percentages?

For example, 7/10 is the same as 0.7 and 70%. Percentages are actually all fractions out of 100. 70% is 70/100, 50% is 50/100, etc. When these are written as fractions they should be simplified so the denomi...
ED
Answered by Elena D. • Maths tutor
3957 Views

Could you explain ratios to me?

Imagine there's a cake, and you wanted to share that cake evenly between three people. You would cut the cake into three pieces and each person would get a piece. Now, imagine you had another cake and still ...
JR
Answered by Javed R. • Maths tutor
4428 Views

(x+2)(x-3)

Multiply the first term in the first bracket, so that would be x, with the second bracket. step one: x(x-3) is identical to: x^2 - 3x We can now multiply the second number in the first bracket, which would b...
LW
Answered by Lai Wah T. • Maths tutor
3345 Views

y = 4x^3 - 5/x^2 Find dy/dx

y = 4x^3 - 5/x^2 Easier to differentiate the 2nd term if it isn't written as a fraction so first rewrite y: y = 4x^3 - 5x^(-2) Then differentiate each term by multiplying each term by the current power of x ...
NC
Answered by Nisha C. • Maths tutor
10196 Views