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Determine a vector expression for the position of a particle whose velocity is (3t^2 - 8)i + 5j m/s.

r (t) = [integral] v (t) dt = (t^3 - 8t + C) i + (5t + C) j m
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Answered by Matteo T. Physics tutor
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Find, using integration, the work done in compressing a spring by a distance x.

[integral from 0 to x']dW= [integral from 0 to x'] F( x') dx' =[integral from 0 to x'] kx' dx' = 1/ 2 k x^2 It is a 1-D problem so line integral do not need to be used. At a given instant, let the amount by ...
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Answered by Matteo T. Physics tutor
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What is a reflex arc?

A reflex is an involuntary response to a sensory stimulus. The pathway of neurones involved in a reflex is known as a reflex arc. A reflex arc - such as quickly moving your hand away from a hot flame - invol...
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Answered by Sundas B. Biology tutor
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There is no evidence for God, so belief in God is irrational. Discuss.

There is no proof for God, in the sense that would compel all rational thinkers to agree that God exists, but there is at least some evidence, the robustness of which is up for debate. For example, there are...
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State and explain a determinant of demand for a product.

There are many possible answers, including: the price, the quality, advertising, branding, promotions, and the price and closeness of substitutes or compliments. There are also macroeconomic factors such as ...
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Answered by Dan T. Economics tutor
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