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Solve the following definite integral from x=2 to x=-1: ((x^4) + 3(x^2) + 2) dx

GENERAL PROCEDURE -- To solve this equation you can separate and integrate each term on its own and then add each integral together. To find the definite answer: Substitute "x=2" into the integrate...
HW
Answered by Harriet W. • Maths tutor
3436 Views

A ladder 6.8m long is leaning against a wall. The foot of the ladder is 1.5m from the wall. Calculate the distance the ladder reaches up the wall.

For answering this question we need to understand Pythagoras theorem. It states that when a triangle has a right angle (90º) the square of the hypotenuse is equal to the sum of the squares of the two other s...
CV
Answered by Clara V. • Maths tutor
16093 Views

Factorise: 6x^2-3x-3=0

Since the equation shows a 6x^2, we know that in the brackets we must have either: (2x+a)(3x+b) or (6x+a)(x+b) However we know the last two numbers must multiply to make -3, hence a and b must be +1 and -3 r...
WP
Answered by William P. • Maths tutor
4608 Views

why does 4 / 0.5 =8?

would start by asking what is 4 * 0.5 ? They might then work out that that is 2 which would lead them to have a cognitive conflict which can be very useful as they can understand that the logic is wrong. I w...
KR
Answered by Kathleen R. • Maths tutor
11485 Views

Natasha has two bags of fruit. both bags have the same number of fruit in total. 1/3rd of the fruit in bag 1 are apples and 15% of the fruit in bag 2 are apples. There are 20 apples in bag 1, how many apples are in bag 2?

Using the fact that 1/3rd of the fruit in bag 1 are apples and there are 20 apples in total you can work out that there are 60 pieces of fruit in bag 1. This is found by doing 20 x 3 = 60. Then using the fac...
DQ
Answered by Danyal Q. • Maths tutor
3513 Views