Consider points P = (0, a), Q = (c, b) in the plane, with a, b, c all positive. Find a point R = (x, 0) so that the distance P R+QR is minimal. Justify that your answer is indeed a minimum.

Consider points P = (0, a), Q = (c, b) in the plane, with a, b, c all positive. Find a point R = (x, 0) so that the distance P R+QR is minimal. Justify that your answer is indeed a minimum.

TV Circuit has 30 large-screen televisions in a warehouse in Erie and 60 large-screen televisions in a warehouse in Pittsburgh. Thirty-five are needed in a store in Blairsville, and 40 are needed...

Three marbles are drawn randomly WITH REPLACEMENT from a box with 5 blue and 7 green marbles. (a) What is the probability that all the marbles drawn are green? (b) What is the probability...

Let A and B be independent events. If P(A) = 1/4 and P(B) = 1/3, find (a) P(A|B). (b) P(B U A). (c) P(A`n B) (d) Find P(A U B|A).

Suppose that two balanced (six-faced) dice are rolled. Let X be the sum of the two faces showing. (a) Find RX. (b) Find the probability mass function of X. (c) Calculate the probability...

Describe how it could happen that three different animals could each be claimed -rightfully- to be the largest of the three. Discuss the implications of this kind of situation for teaching students...

A construction company has dump trucks that hold 10 cubic yards. If the company's workers dig a hole that os 8 feet deep, 20 feet wide, and 30 feet long, then how many dump truck loads will they need...

ACME company's expected sales can be modeled by g(t)=t^3-2t^2+4t-7, where g(t) is measured in thousands of dollars and t is the number of years after 2008.

Write the polynomial equation if it has x - intercepts (-6,0) and (1,0) with a tangent at (1,0) and goes through the point (4,-30)

I'm having a lot of trouble trying to solve the equations algebraically on the interval (0,2pi). Any help is greatly appreciated! 1) tanx= 0 2) 4sin^2x-1=0

Q1 prove piecewise convergent on (0,infinity) Q2 prove uniform convergent on [1,infinity) Please help with these two equations. Much Thanks, it's preparation for final exam...

Q1 prove piecewise convergent on (0,infinity) Q2 prove uniform convergent on [1,infinity) Please help with these two equations. Much Thanks, it's preparation for final exam...

I'm having trouble finding the missing sides and angles for the triangle. I know you have to use law of sines to find them, but I'm having trouble. Any help is greatly appreciated! A=...

I'm having trouble proving these trig identities. Help is greatly appreciated. Thanks in advance! 1) 1- sinx/cosx = cosx/ 1+sinx 2) sin^2x = 1- cos^2x 3) sin2x/2sinx = cosx 4)...

Im having trouble using the sum/difference formula to simplify the equations below. Help is greatly appreciated 1) cos (π + θ) 2) tan (π/6 + π) 3)...

I'm having trouble trying to prove these trig identities. Help is greatly appreciated! Thanks in advance! 1) cot^2θ +1/sec^2θ = cot^2θ 2) 1+cosx/sinx = sinx/1...

I need some help solving these problems. Thanks in advance! Let f(x) = 4x-9/ 2x^2 + 1 find: 1) f(-2) 2) f(x+3) 3) -f(x) 4) f(-x)

Suppose a baseball is tossed up and it's height as a function of time is given by the formula: h= -16t^2 + 64t + 10 where "h" is the height of the baseball measured in feet and "t"...

I'm having trouble finding all the real and complex solutions to the equation: x^3 - 4x^2 - 2x + 20 = 0 Help is greatly appreciated!

A. Identify the complex conjugate B. Multiply the conjugate pairs & write in standard form

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