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Question - Let vector F(x, y) = x2i + y2j with C being the arc of the parabola y=2x2 from (-1, 2) to (2, 8).
(a) Find function f such that F→ = ∇F.
(b) Use part (a) to evaluate ∫F dr along the given curve C.
Consider an experiment that involves repeatedly rolling a six-sided die. Which of the following is a binomial random variable?
What is the probability of rolling a total of 7 in two rolls of a standard dice if you get an even number on the first roll?
where y is its height above the ground and x is its horizontal distance traveled in meters. Calculate the distance traveled by the prey from the time it is dropped until the time it hits the ground. Express your answer correct to the nearest tenth..
Janet can shovel snow from her driveway in 50 minutes. Tom can do the same job in 35 minutes. How long would it take Janet and Tom to shovel the driveway if they worked together?
Please give a short answer as to why the following is true: Let p(x) = Ax^ 2+ Bx + C. For any interval [a,b] the value of c guaranteed by the Mean Value theorem is the midpoint of the interval.
jhon, mary,and ali have 17,12 and 10 marbels respectively what is the everage of marbels each of them have?
How many of each type of vessel should be used in order to keep the operating costs to a minimum?
Suppose I had a lemonade stand. When I charge $1, I sold 50 cups, when I raised the price to $2, I only sold 25 cups. Write an equation for the number of cups I sold as a function of the price i charged.
A compact disc can have an angular speed up to 3142 radians per minute. At this angular speed, how many revolutions per minute would the CD make? How long would it take the CD to make 10,000 revolutions?
You perform a hypothesis test at the .05 level of significance. Your computed p-value turns out to .042. What is your decision about the hypothesis.
Let G be a finite group and let P be a Sylow p-subgroup with N_G(P) = P. Prove that P is not contained in any proper normal subgroup of G ??
For the given function, find the indicated function values. Find the domain of the function. f(x) = √2x+14 find f(0), f(1), f(4), f(-3) (round to one decimal place as needed.)
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