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To make a conjecture about the tangent lines and the graph with the proof of the conjecture.
Conjecture consider the functions f(x) = ½ x2 and g(x) = 1/16 x4 - ½ x2 on the domain [0,4].
Make a conjecture about the relationship between tangent lines to the graphs of two functions at the value of x at which the vertical distance between the functions is greatest, and prove your conjecture.
Finding the value of x such that the vertical distance is maximum - Determine the value of x for which d is maximum.
Illustrate why the A and B are symmetric
The equation of tangent line.
Using the window setting to make a graph.
Use of trigonometric ratios to find the distance - Two boats leave the port at the same time.
Find the derivative of the function by using quotient rule.
Evaluate the nearest distance between two tunnels using cosine rule. In a mine, two tunnels are dug starting at the same point.
Find the general solution for given trigonometric equation on the given interval.
The following pairs of functions, graph each one together in Desmos, show on your graph and find the area between them bounded by the given values of x.
Find the prime of function
Investigate puzzle and explain the solution to the paradox using mathematical reasoning.
Factorize the given expression - Evaluate the perfect square
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