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Y" + 6y' + 13y = δ(t-2) + δ(t-5)

solve using Dirac Delta (transforms) Note: solve without using partial fractions-Applying L to both sides (with y(0) = A and y(0) = B) yields (s^2 F(s) - As - B) + 6 (s F(s) - A) + 13 F(s) = e^(-2s)

What is area available for grazing

A goat is tied to a long straigh wall by a rope. The ends of the rope are tied to two hooks secured in the wall and the rope can slide through the ring attached to the goats collar. The hooks are sep

Do these infinite sequences converge or diverge

S= 1/2 + 1/4 + 1/6 + 1/8 +....+ 1/2n+.... S= (sum from n=1 to infinity) (e^(-n))/ (1+n^2) I got that the first one diverges and the 2nd one converges, and used the ratio test on the first one and the

Optimization question...

A ship is sailing due north at 12km/h while another ship is observed 15km ahead, travelling due east at 9 km/h. What is the closest distance of approach of the two ships? i know that we are trying t

Algebra Help Please....

(If your going to say DO YOUR HOMEWORK! or something like that dont bother) The graph below represents which system of inequalities? graph of two infinite lines that intersect at a point. One line i

Parametric equations

C1 curve.... x=t+1y=2t^2 C2 curve.... x=2t+1y=t^2+7 whats the point of intersection?-for the second equation replace t with something else (e.g. u). x=t+1 y=2t^2 x=2u+1 y=u^2+7 Now solve for t an

Please someone help me (trigonometry)

about function and relation function is where x and its given are never repeated example: X:4 5 6 7 y: 4 5 6 7 while in relation the xs givens are repeated example: x: 4 8 7 and 4 (again) y: 4 8 7 4

Tricky math word problem, please help!

12 men can complete 5/9 of a job in 5 days. How many more days are required to complete the job if 6 more men are added? The answer is 1 but i cant figure out how to get to that answer. Math whizzes p

Vector Question, help please!

An aircraft pilot wishes to fly from an airfield to a point lying s20e from the airfield . if there is a wind of 45 km/h from N80E and the cruising speed of the aircraft is 550km/h. a) what direction

Find the absolute extrema of f(x,y)=2x^2-4x+y^2-4y+1 on the region of the first quadrant bounded by the lines

Find the absolute extrema of f(x,y)=2x^2-4x+y^2-4y+1 on the region of the first quadrant bounded by the lines x=0, y=2x and y=2. YOur proceddure is (1) find all critical points in the interior of the

Calculus Problem: What's the value of this definite integral

Integral from 1 to 2 of f(x) dx = 12. Integral from 1 to 2 of g(x) = g(x)dx = 5. What is I = integral from 1 to 2 of (f(x) - 8g(x) +7)dx? The answer is between -19 to -27 I tried plugging in the numb

Y"+2y'+5y=e^(-2t) with y(0)=y'(0)=0

Solve using convolution theorem (choose e^(-2t) as f or g) note: we cannot use partial fractions to get to solution (if part of the process)-Calling L{y(t)} by Y(s) (s² + 2s + 5) Y(s) = 1/(s + 2) =

Tough math problem solving help

1. matt has a total of $580 in bills. he has 76 bills consisting of $5 and $10 bills. how many of each does he have? ^ is it 38? this is the hardest one: a golf ball is hit and its height is given b

Percentages. Help a stupid guy out please

So youve got a company in Nowhereistan that just bought some new manufacturing equipment. As long as you have the raw materials for the machines, you can keep pouring them in and producing your produc

Help with solve this equation

4-[17x-12]+4-4- 17x -12 +4 = -17x -4 (this is the best form)-this isnt an equation! it needs something to be equal to...also, the signs seem pretty wrong. although, if thats what youve written down: i
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