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Please consider the function f(x) = -x2 + 3x - 2 . Show the calculus used to solve these two problems.
1. Find the point (x and y coordinates) where the function is horizontal. Write the equation of the tangent line at that point.
2. Find the equations of the two tangent lines to the function that pass through the point (3, 2).
Calculate the surface area of an unopened steel can that has a height of 5cm and a radius of 7cm.
A rancher outside Houston decides to build a silo inside his corral. The rectangular corral measures 23 m by 17 m and the silo's base is circular with a diameter of x meters.
If you know the order of the normalizer N of can you find the generators for N? Give a solid math argument why this is correct and please keep the answer as simple as possible at the same time.
A thin wire has the shape of the first-quadrant part of the circle with center the origin and radius c. If the density function is ρ(x, y) = kxy, find the mass and center of mass of the wire.
If f is an automorphism of S_3, prove that there exists a sigma in S_3 such that f(tau)
Important information about Probabilty, A single die is rolled once. You lose $12 if a number divisible by 3 turns up. How much should you win if a number not divisible by 3 turns up for the game to be fair?
What is the missing term in the geometric sequence?
differentiable everywhere. Prove that for every positive number b, there exists a number c in (-b,b) such that f prime (c)= f(b)/b
Determine the probability of drawing a poker hand
Ten bolts were selected randomly from a production line and the diameter of each was measured. Why do these diameters not have a binomial distribution?
Digit probability A young girl gave a young man her phone number during a hurried parting. The young man remembers the 7 digits of her phone number
If the account earns interest at the rate of 7%/year compounded quarterly, how much will Luis have in his account at the time of his retirement?
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