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1. Use the Pythagorean identity sin^2 x + cos^2 x = 1 to show that 1 + cot^2 x = csc^2 x.
2. Prove that tan^2 x + 1= sec^2 x for all angles (x) and use 80 degrees to verify the identity.
Find the largest open intervals on which the function is concave up or concave down. If there is more than one interval, enter your intervals from left to right as they appear on the real line.
The distance between two rails is 1.5m. The centre of gravity of the train at a height of 2m from the ground. Find the maximum speed of the train on a circular path of radius 120m.
Use matrices to solve the system of equations (if possible). Use Gaussian elimination with back substitution or Gauss-Jordan elimination. Explain steps and show work.
Calculating the probability from a given ball situation. Six red balls and four blue balls are placed on a container. The probability that the first ball drawn
Find the absolute minimum value of the following function on the interval [0,2]. f(x) = x2 -4.6x + 1. Find the x-coodinate of the local maximum of f(x)= x3 - 2.1x2 -1.7x.
Why can't a rational function have both a horizontal and an oblique asymptote? Construct your own rational functions to give examples.
Is the pair of lines parallel, perpendicular, or neither?
What is the difference between an equation that is a function and one that is not - Is every function a relation? Is every relation a function?
1. the way we feel emotionally and the way we feel physically are increasingly seen as single parts of a whole.nbsp
What is the sum of angles of an obtuse angle triangle?
The top and bottom margins of a poster are 2 cm and the side margins are each 4 cm. If the area of printed material on the poster is fixed at 382 square centimeters, find the dimensions of the poster with the smallest area.
A New York Times editorial criticized a chart caption that described a dental rinse as one that "reduces plaque on teeth by over 300%." What is wrong with that statement?
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