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FIND and PROVE a formula for the inverse hyperbolic tangent, arctanh(x).
The formula should involve a natural logarithm. Also, check the answer by substituting the definition of tanh x into your inverse formula and simplify. Show all work please.
Solve the quadratic equations
Find the least number of stamps required so that any value from (1/2)p to 60p (in steps of (1/2)p may be selected, and give their values
Solving problem using substitution and graphing method.
During a road trip, Tonya drove one-third the distance that Lana drove. Mark drove 15 miles more than Lana. The total distance they drove on the trip was 491. How many miles did each person drive?
Solve the unknown variable
Determine the elements of finite order in G_1 x G_2. Show that the free group on a set X has no elements of finite order ( other than the identity).
Sketch the parabola and find the vertex.
Let f(x) be an element of Q[x], (Q being the rationals), so that |Gal(f(x)|=255. Show that f(x) is solvable by radicals. Hint: Apply Sylow's theorems.
Compute an equation for the circle
Solve the following equation in single variable.
Determine the dot product.
Explain why there are usually two solutions in quadratic equations? Please also share an example of a non-linear equation applied to a real life problem?
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