Two runners start a race at the same time and finish in a tie. Prove that at some time during the race they have the same speed. [Hint: Consider f(t)=g(t)-h(t) , where and are the position functions of the two runners.

Q: Find the derivative of y = x3 – 6x², using first principle.

A:

Q: Decide, whether the function w = z2 + 3z has a derivative (and where) and then find it.

A: Complex number: A number of the form z=x+ιy where x and y are real numbers, is called a complex…

Q: Consider the following two equations. уд Find the values of x for which f(x) = g(x). a.

A: From the given graph of f and g

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A: Given:- Runner' speed sh=2h Time th=34h Let dh represents distance of runner travel