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Integrate 2x^2 + 4

When we integrate, we raise the power by one and divide the term by the new power. So let's break the question down term by term. When integrating 2x² we raise the power by 1 to get 2x³

Answered by Eleanor F. • Maths tutor

5076 Views

In a science experiment a substance is decaying exponentially. Its mass, M grams, at time t minutes is given by M=300e^(-0.05t). Find the time taken for the mass to decrease to half of its original value.

Firstly, calculate the initial value of of M, by substituting t = 0 into the equation M=300e^-0.05tInitially, M₀= 300e⁰=300 x 1 = 300When the substance mass has decreased t...

Answered by Bony R. • Maths tutor

7560 Views

How do you divide fractions and mixed numbers

If the question is as such: 3/4 divided by 2/3 you simply reverse the second fraction (making it 3/2) and now multiply the two together. For example, it should now read 3/4 x 3/2 = 9/8. This can then by p...

Answered by Nicholas W. • Maths tutor

3118 Views

A cycle race is 3069.25 miles. Juan travels at a speed of 15.12 miles per hour. He cycles for 8 hours a day. Estimate how many days Juan will take to complete the race.

s = d/ t= 3069.25/ 15.12It is an estimated value, so you may use rounded values = 3000/ 15= 200 hours He will be travelling 8 hours every day= 200/ 8= 25 days

Answered by Harith H. • Maths tutor

16031 Views