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A rectangle has sides of length 4x cm and (x+3)cm and has an area less than 112 cm^2, find the set of values x can take

Derive an inequality for the area. 1) As area = width * length then area is 4x * (x+3). 2) Area is less than ( < ) 112 so inequality is 4x* (x+3) < 112. 3) Expan...

HT
Answered by Harry T. Maths tutor
3290 Views

The variables x and y are related by y = 5^x. How do I find the value of x when y is set to 15?

15 = 5^x, we can easily solve this equation by using logs on either side which will give us: log15 = x log 5. Then by solving this for x, we get the result of 1.68 to two decimal places.

AB
Answered by Andrea B. Maths tutor
2948 Views

How can I work out the area of a semi-circle with a diameter of 12cm?

For this question we need to remember that the equation to calculate the area of a circle is pi times the radius squared. The radius of a circle is half it's diameter, therefore the radius of the semi-cir...

CR
Answered by Cosima R. Maths tutor
8908 Views

What is the differential of (14x^3-3x^2)^3

Chain Rule- Differential of the bracket x the initial power of the bracket x the initial bracketpower-1 --- So Differential of bracket is 42x2- 6x---

Answered by Maths tutor
2832 Views

I don't understand integration by parts - can you explain it please?

(Apologies I don't have the relevant diagrams here so this reads longer than it actually is on paper)

1) First it's important to establish that the prior knowledge is there before expla...

Answered by Maths tutor
3697 Views

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