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Find an equation in standard form for the hyperbola with vertices at (0, ±8) and asymptotes at y = ± x. (5 points)

Predict whether the following reaction will occur spontaneously or non-spontaneously. Give detailed reasons for your selection.                        2S(s)   +  3O2 (g)       →        2SO3 (g)     +    21Kcal            

Find the limit of the function algebraically. (5 points)  

Express the complex number in trigonometric form. -2 + 2 i (5 points)

Find an explicit rule for the nth term of the sequence. 7, -7, 7, -7, … (5 points)

Find the first six terms of the sequence. a1 = -7, an = 2 • an-1 (5 points)

 Explain how blood pH is maintained in the body with the help of Le-Chatelier’s principle and carbonate-bicarbonate equilibrium reaction.                         

Determine whether a triangle can be formed with the given side lengths. If so, use Heron’s formula to find the area of the triangle. a = 240b = 121c = 302 (5 points)

Express the complex number in trigonometric form. -4i (5 points)

According to basic activity recommendation (CDC, WHO), at minimum how many minutes of moderate activity per week should an adult strive to achieve?