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Find the definite integral of f(x) = 12/(x^2+10x+21) with limits [-1,1]. Give your answer to 2 decimal places.

  1. Factorising denominator of fraction:x^2 + 10x + 21 = (x+3)(x+7)2) Partial fractions:f(x) = 12/(x+3)(x+7);  let f(x) = A/(x+3) + B/(x+7)then equating the nomi...
CG
2667 Views

Describe how plants living in dry conditions may be adapted to their environment.

Long/deep roots, stomata in pits, rolled leaves, tiny hairs on leaves, no leaves (cacti).

EP
Answered by Emily P. Biology tutor
2947 Views

find the root or roots of the following equation: 2x^2 + 18x + 36

finding the roots, means to find the coordinates at which the curve intersects the X axis. At first look you may notice that each function in the equation is divisible by 2, you can do this to make solvin...

JH
Answered by Jason H. Maths tutor
3393 Views

How do you find the length of a side of a right-angled triangle given the angle and the hypotenuse?

First label the triangle to show the opposite, adjacent and hypotenuse. Then you can use SOHCAHTOA to determine which trig function is needed. If you need to work out the opposite you use the sin function...

LS
Answered by Lucy S. Maths tutor
3365 Views

ForA=2x^2 –18x+80 (i) find dA/dx , (ii) find the value of x for which A is a minimum

dA/dx = 4x -18 : multiply the number before the x (coefficient) by the power and minus 1 from the power.4x = 18 so x = 4.5 to find the minimum or maximum point, make the differential equal to 0 and solve ...

DA
Answered by Dan A. Maths tutor
6507 Views

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