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Find f(x^(1/2)+4)dx (Where f is the integral sign)

The general form for an integrand if the integral is of the form f(x^n)dx is (1/(n+1)) * x^(n+1) +c This is applied to each term in the question, remembering the constant in the integrand: So: f(6x+x^(1/2)+4...
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Answered by Michael A. • Maths tutor
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If Tom has a bag of balls with 7 orange, 6 green and 11 blue, what is the probability that he will pick a green ball?

Answer= 1/4 7+6+11= 24 Green =6/24 Simplifies to 1/4, by division by 6.
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Answered by Sam S. • Maths tutor
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Expand completely: (3a-6)(a+3)

Final Answer: a 2 +3a -18 Using FOIL (First, outside, inside, last) we multiply the terms in the brackets together. First: 3a multiplied by a = 3a 2 Outside: 3a x 3 = 9a Inside: -6 x a= -6a Last: -6 x 3 = -1...
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Answered by Sam S. • Maths tutor
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A curve has the equation y = 4x^3 . Differentiate with respect to y.

y = 4x 3 To differentiate you must find dy/dx. To calculate dy/dx, look at this example using just letters from algebra: y = ax b dy/dx = (ab)x (b-1) As you can see, to calculate dy/dx you must multiply the ...
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Answered by Samuel H. • Maths tutor
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An object of mass 2kg is placed on a smooth plane which is inclined at an angle of 30 degrees from the ground. Calculate the acceleration of the object.

Draw a free body force diagram of all the forces acting on the object. Resolve the forces parallel and perpendicular to the plane. Use the equation Σ F=ma to solve the acceleration.
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Answered by Dillon J. • Maths tutor
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