Calculus
Given the function" f(x)=1/4x− 3, find a formula for the inverse function.
Calculus
A can of soda at 80° F. is placed in a refrigerator that maintains a constant temperature of 36° F. The temperature T of the soda t minutes after it is placed in the refrigerator is given by T(t) = 36 + 44 e^–0.058 t Find the temperature of the soda 10 minutes aft...
Calculus
Bob, a resident of Metropolis, pays Metropolis an annual tax of $50 plus 1.9% of his annual income. If Bob paid $2,387 in tax, what was Bob's annual income?
Calculus
Points (–1, 6) and (–3, 2) are endpoints of the diameter of a circle. (a) What is the exact length of the diameter? (Simplify as much as possible) Answer: ________ (b) What is the center of the circle? Answer: ____________ (c) What is the equation of the circle? Answ...
Calculus
For the parabola given by (y – 3)^2 = 8(x + 5), find the following: (a) direction parabola opens (to the left, right, up, or down) Answer: ___________ (b) vertex Answer: ___________ (c) focus Answer: ___________
Calculus
Find the equation for a line which passes through the points (–1, 1) and (3, –7). Write the equation in slope-intercept form. Show work.
Calculus
Let f (x) = 5x^2 – 9 and g(x) = x – 3. (a) Find the composite function ( f o g)(x) and simplify. Show work. (b) Find ( f o g)(2) . Show work.
Calculus
Suppose that sin q = − 12/13 and that q is a Quadrant IV angle. (a) Find the exact value of cos q. Show work. (b) Find the exact value of sin 2q. Show work.
calculus
A projectile is launched from a platform 20 feet high with an initial velocity of 72 feet per second, The height h of the projectile at t seconds after launch is given by h = –16t2 + 72t + 20 feet. (a) How many seconds after launch does the projectile attain maximum heigh...
chem 2
E 0.30
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