(4)
At noon Marie leaves Goleta driving north at
constant speed. At 1pm Jason is 14 miles south of Goleta
and starts to follow Marie, he also drives at (a different) constant
speed. At 5pm Jason catches up with Marie. At 2pm Marie
has driven 16 more miles since she...
Euler's method?
Describe how to modify Euler's method to deal with the initial condition of y(5)=3 instead of y(0)=3.
Use this on the equation y'=1+t using a time step of 0.1 and initial condition of y(5)=3 and find y(5.4) .
??
Now find the exact solution of this equation using calculus...
ok well i do the entire d/dt volume and get 4(4pi)+50pi(2/40)and which come to 16pi+100/40pi. that comes to d/dt volume is 37pi/2 or 58.119. i then multiplied that by density 4000 and got 232476. but when i submit that answer it keeps saying that it is incorrect
well diameters rate of change is 5 cm or 5/100 half of that is the radius' rate of change 5/200 or 1/40. so b/c of the formula u just gave d/dt r^(2) would be 2*(1/40)
well I am completely stumped now. i have no clue what numbers to input. wouldn't d/dt of volume be (d/dheight)(pi*r^(2))+height(d/dr radius)pi? how do u input those numbers correctly based on the info?
yes it does but my webwork homework site keeps saying it got it wrong. wouldn't d/dt volume be 4(4pi)+50pi(5/200)^(2)? i don't know where I am going wrong in the calculation
A tree trunk is approximated by a circular cylinder of height 50 meters and diameter 4 meters. The tree is growing taller at a rate of 4 meters per year and the diameter is increasing at a rate of 5 cm per year. The density of the wood is 4000 Kg per cubic meter. How quickly is the mass of the...