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Integration by parts; ∫e^x sin(x) dx

The first step in solving this problem is to identify that it is an integral that needs to be solved by parts. When you see an integral, check if it is in the form u v, where u and v are both functions of x ...
DB
Answered by Daniel B. • Maths tutor
17195 Views

A particle of mass 5kg is held at rests on a slope inclined at 30 degrees to the horizontal. The coefficient of friction for the slope is 0.7, determine whether the particle will move when released.

Frictional force acting: F Max = u R = 0.7 x 5 x 9.81 x cos(30) F Max = 29.7N Weight acting down the slope: F = 5 x 9.81 x sin(30)F = 24.5N Frictional max is greater than the weight acting down the slope, th...
MI
Answered by Myles I. • Maths tutor
5928 Views

Find values of x in the interval 0<x<360 degrees. For which 5sin^2(x) + 5 sin(x) +4 cos^2(x)=0

This question is split up into two parts. Firstly recall the trigonometric identities you know, the trick here is to eliminate one of the squared terms. Using 4sin^2(x) +4cos^2(x) = 4, the cos term is elimin...
JG
Answered by James G. • Maths tutor
9800 Views

Here are four fractions, 4/5 3/8 12/30 14/20. Write them in order of size, starting with the smallest fraction.

First cancel down the fractions to make the numbers as small as possible, then make all fractions have the same denominator. 12/30 becomes 2/5. 14/20 becomes 7/10. So the new fractions are 4/5 3/8 2/5 and 7/...
KS
Answered by Kim S. • Maths tutor
5594 Views

Differentiate the following... f(x)= 5x^4 +16x^2+ 4x + 5

The rule for differentiating a simple equation such as this is, to times the coefficient by the power and the take one away from the power. Therefore, lets look at 5x^4 you would times the 5 by 4 to get 20x^...
CM
Answered by Celia M. • Maths tutor
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