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Find the area bounded by the curve ๐‘ฆ = (๐‘ฅ^2)/4

and ๐‘ฅ + 4 = 2y


An MBDA official investigated an accident in Roman highway. They saw a 200-

feet-long skid mark which was produced from the time driver stepped on the car

break to the time it fully stopped. During the investigation, the driver told him that

after stepping on the car break, it decelerated at a speed of 16๐‘“๐‘ก/๐‘ ๐‘’๐‘2

. The official

wanted to know how fast the car was before the accident happened. Determine the

carโ€™s velocity before the break is applied to help them dig on what caused the

accident.

t= 0 t= n

vi=? vf= 0

Si= 0 Sf= 200ft



Allan is explaining the wonders of nature to his son. He and his son went to a roof top of a 120m-high building, then he threw a stone from the rooftop.



1. Neglecting the air friction, what is the acceleration of the stone due to gravity?

2. At what time will the stone fall to the ground?

3. With what velocity will a stone strike the ground if dropped from the top of a

building?





A certain chemical decomposes exponentially. Assume that 200 grams becomes 50 grams in 1 hour. How much will remain after 3 hours? Show complete solution.ย 


Use implicit defferentiation to determine the derivative of the equation of the eclipse below: 
(X/a)๏ปฟ๏ปฟ๏ปฟ^2+(y/b)^2=1




if the power series โˆ‘n=1 โˆžโ€‹ a n x^n converges uniformly in ]alpha,beta[,then so doesโˆ‘n=0 โˆž an(-x^n) true or false ?justify.




L-1(s2 - 4 / ( s+2) 2)


L-1( s+5 / s2 -6s +13)


(D2+5D+4)y=4e-x+x


Z=f(x,y)=3x3y2-x2+y2+4x+9


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