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What is the indefinite integral ∫5exp(3-4x)dx ?

∫ 5e 3-4x dx=5∫e 3 e -4x dx=5e 3 ∫e -4x d=5e 3 [(-1/4)e -4x ]=-(5/4)e 3 e -4x =-(5/4)e 3-4x
AM
Answered by Alexandros M. • Maths tutor
6741 Views

Find the 16th term in the following sequence: 3, 5, 7, 9, 11

First find the nth term of the sequence. Start by finding the difference between each term: 3, 5, 7, 9, 11 - the difference between each is 2 therefore it is 2n but this alone gives the sequence: 2, 4, 6, 8....
KS
Answered by Kate S. • Maths tutor
13091 Views

The mass, m grams, of a substance is increasing exponentially so that the mass at time t hours is m=250e^(0.021t). Find the time taken for the mass to double in value.

All exponential equations can be reduced to the form m=m 0 e kt , where m 0 is the initial mass. This means for our equation the initial mass is 250g. If the mass has doubled in size, then m now equals 2*250...
TJ
Answered by Tom J. • Maths tutor
8990 Views

How can I determine the stationary points of a curve and their nature?

For example, y = 3x 3 + 9x 2 + 2. Determine the stationary points and their nature. Let's remind ourselves what a stationary point is, and what is meant by the nature of the points. A stationary point is a p...
TD
Answered by Tutor87017 D. • Maths tutor
172448 Views

Find all the solutions of 2 cos 2x = 1 – 2 sinx in the interval 0 ≤ x ≤ 360°.

We know that having cos and sin functions in a question is going to cause us problems - we need a single function of x. So, step 1, we need to rewrite sin or cos in terms of the other. How do we choose which...
NH
Answered by Nicola H. • Maths tutor
24178 Views