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I don't fully understand the purpose of integration. Could you please explain it to me?

I have written "..." where I imagine the student is replying. I have then provided prompts assuming that the student did not come up with the answer straight away. The scenario could be very...

RL
Answered by Rebecca L. Maths tutor
3031 Views

Integrate (sin(2x) + e^(2x+3))dx

1/2cos(2x) +1/2e^(2x+3) + C

HT
Answered by Hazel T. Maths tutor
3506 Views

Asha and Lucy sell pencils. Asha sold 7 boxes, and 22 singles. Lucy sold 5 boxes, and 2 singles. Given Asha sells twice as many pencils as Lucy, work out how many questions are in each box.

Asha: 7 boxes, 22 singlesLucy: 5 boxes, 2 singlesAsha, 2x as many as Lucy
A = 2(5b +2) = 10b + 4L= 5b + 210b+4=7b+223b=18b=6

TE
Answered by Tara E. Maths tutor
4501 Views

For a graph C with equation y=3/(5-3x)^2, find the the equation of the line normal to the graph at point P, where x=2. Give your answer in the form ax+by+c=0

Find out the value of the y coordinate where x=2y=3/(5-3(2))^2=3Differentiate function in order to find the gradient of the graph at point Py=3/(5-3x)^-2Use chain rule where u=5-3xdu/dx=-3dy/dx=3u^-2Hence...

JI
Answered by Jazib I. Maths tutor
4573 Views

3 teas and 2 coffees have a total cost of £7.80 5 teas and 4 coffees have a total cost of £14.20 Work out the cost of one tea and the cost of one coffee.

3t + 2c = 7.80 ---> x2 to get 6t + 4c = 15.605t + 4c = 14.20 6t + 4c = 15.60-- 5t + 4c = 14.20= 1t = 1.40If t = 1.40 substitute t in to the equation to get:(3 x 1.40) + 2c = 7.80 ---> 2c = 3.60 --&g...

HK
Answered by Hania K. Maths tutor
2952 Views

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