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Differentiate the following: y = 3x^(1/3) + 2

Answer: dy/dx = x -2/3 Explanation: When differentiating, we bring the power to the front and subtract 1 from the power to get the new power. So the first term becomes (3 x 1/3)x (1/3 - 1) = x -2/3 . Also, a...
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Answered by Scarlett S. • Maths tutor
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Solve the equation x^2 + 3x - 10 = 0

Identify a, b and c based in the GENERAL FORM OF A QUADRATIC EQUATION: ax 2 + bx + c (= 0) ax 2 + bx + c = 0 x 2 + 3x - 10 = 0, so a = 1, b = 3 and c = -10 Rule 1: List factors of c in pairs [Factors of 10 a...
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Answered by Emmanuel A. • Maths tutor
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Solve the equation 2X^2 + 5X + 2 = 0 stating clearly the number of roots

Firstly, we can identify 2X 2 + 5X + 2 = 0 as a quadratic equation by the fact it is an X 2 term, an X term and an integer term all within the same equation, and is equal to zero. To solve a quadratic equati...
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Answered by Luke P. • Maths tutor
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Find the intergral of 2x^5 - 1/4x^3 - 5 with respect to x.

2x 5 - 1/4x 3 - 5 can be intergrated by intergrating each term seperately and then remembering to add a constant to your new answer. Therefore the correct answer would be x 6 /3 + 1/8x 2 - 5x + c. This has b...
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Answered by George H. • Maths tutor
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An object's displacement, s metres, from a fixed point after t seconds is s=5t^3+t^2. Find expressions for the object's velocity and acceleration at time t seconds.

Differentiating gives the rate of change and velocity and acceleration are rates of change. Velocity is the rate of change of displacement compared to time and acceleration is the rate of change of velocity ...
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Answered by Seeitha S. • Maths tutor
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