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Briefly describe the structure and function of the respiratory system

Structure: The respiratory system starts at the mouth and nose with the pharynx, and continues as the trachea - this is covered with the epiglottis that prevents food and other material entering the lower ai...
JD
Answered by Joe D. • Biology tutor
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f(x) = 4x - m, g(x) = mx + 11, fg(x) = 8x + n. m and n are constants. Find the value of n.

If f(x) = 4x - m, and g(x) = mx +11, then the combined functions are: fg(x) = 4(mx +11) -m, or expanded to fg(x) = 4mx + 44 - m. We are told that this function of 'f' and 'g' can also be written as fg(x) = 8...
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Answered by Angus B. • Maths tutor
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Expand and simplify the following expression: (2x-1)(3x+2)

Use a double-bracket expansion method such as FOIL (first, outer, inner, last). If you don't know FOIL or how to expand double brackets, don't worry, I will explain it to you in the session. 6x 2 - 3x + 4x -...
OB
Answered by Oliver B. • Maths tutor
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Integrate ln(x) wrt dx

Integrate by parts. First rewrite the integral in the form u dv/dx, which is (1)ln(x). Then integrate (1)ln(x) wrt dx by assigning u=ln(x) du/dx=1/x and dv/dx=1 v=x. We can determine the integral of ln(x), u...
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Answered by Sathurthini T. • Maths tutor
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Solve 3x2 + 7x – 13 = 0 Give your solutions correct to 2 decimal places.

a=3 b=7 c=-13 Use quad formula: -b+-root[(b^2-4ac)/2a] Sub in values: -7+-root[7^2-4x3x-13] =1.22 and -3.55
BP
Answered by Bronte P. • Maths tutor
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