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Integrate the function f(x) = ax^2 + bx + c over the interval [0,1], where a, b and c are constants.

Firstly remember that d/dx(x^n) = nx^(n-1). And so the antiderivative, or integral of x^n, i.e. \int(x^n) = x^(n+1)/(n+1) + C (where C is the integration constant). When integrating with limits, i.e. when we...
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Answered by Anvarbek A. • Maths tutor
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What is classical conditioning?

Classical conditioning is a learning process whereby a stimulus such as food is paired with another neutral stimulus (food) through an association.
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Answered by Fred B. • Psychology tutor
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A ball is hit horizontally at a height of 1.2 m and travels a horizontal distance of 5.0 m before reaching the ground. The ball is at rest when hit. Calculate the initial horizontal velocity given to the ball when it was hit.

In order to find the velocity, we need to know the distance covered by the ball in a known length of time. We are given the distance, 5.0 m, therefore we need to compute the time of flight of the ball. This ...
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Answered by Francesco S. • Physics tutor
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Find the general solution, in degrees, of the equation 2sin(3x+45°)=1. Use your general solution to find the solution of 2sin(3x+45°)=1 that is closest to 200 °.

The first thing to do when we are facing a trigonometry problem is to to draw the sine and cosine diagram on the unit circle. That takes very little time to do and is incredibly helpful to visualize the peri...
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Answered by Francesco S. • Maths tutor
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Describe an advantage of using vector graphics instead of bitmaps to represent images.

Often using vector graphics is better for images with which you want to retain scalability, as vector graphics store the information of the shapes (objects) that make up the image instead of the colour of ea...
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Answered by David S. • Computing tutor
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