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Question 163286: 1. Oil is dripping from a pipe at a constant rate and forms a circular pool. The area of the pool is increasing at 15cm^2/s. Find, to 3 significant figures, the rate of increase of the radius of the pool when the area is 50cm^2.
2. The region enclosed by the curve with equation y^2=16x, the x-axis and the lines x=2 and x=4 is rotated through 360º about the x-axis. Find, in terms of π, the volume of the solid generated.
3. A particle P moves in a straight line. At time t seconds, the displacement, s metres, of P from a fixed point O of the line is given by s=2tcost+t^2. Find, in m/s to 3 significant figures, the velocity of P when t=3.
Click here to see answer by Edwin McCravy(2922)   |
Question 163881This question is from textbook
: Henry invested $12,000 in a new restarunt. When the restarunt was sold two years later, he recieved $27,000. Find his average annual return by solving the equation: 12,000(l+r)^2=27,000This question is from textbook
Click here to see answer by josmiceli(3012) |
Question 164287This question is from textbook
: Solve each problem
Consecutive even integers.
If the product of two consecutive even integers is 34 larger than their sum, then what are the integers?This question is from textbook
Click here to see answer by themathprof(21) |
Question 164557This question is from textbook Elementary and Intermediate
: Solve each problem. Answers could be rational expressions. Be sure to give your answers with appropriate units.
82.) Driving marathon. Felix drove 800 miles in x hours on Monday.
a.) Write a rational expression for his average speed.
b.) On tuesday he drove for 6 hours at the same average speed. Write a rational expression for his distance on Tuesday.
This question is from textbook Elementary and Intermediate
Click here to see answer by ptaylor(1578)  |
Question 164619: add and subtract the following
1) (7a^4+8ab+b^2)+(-5a^4-8ab-4b^2)
=7a^4+8ab+b^2-5a^4-8ab-4b^2
=(7a^4-5a^4)+(8ab-8ab)+(b^2-4b^2)
=2a^4+0-3b^2
=2a^4-3b^2 Ans
2) (6r+2s-1)-(4r-7s+1)
=(6r-4r)+(2s+7s)-(1+1)
=2r+9s-2 Ans
3) (7a^2b+4ab)+(9a^2b-8ab)-(11a^2b+14ab)
=(7a^2b+9a^2b-11a^2b)+(4ab-8ab-14ab)
=5a^2b-18ab
4) (-5x^3+2y^3)-(15x^3-7x^2y+8xy^2-4y^3)
=(-5x^3-15x^3)
question 1 I got 12a^4-3b^2
qustion 2 i got 2r-5s
qustion 3 i got 16a^2b+10ab-11a^2
question 4 I got -20x^3-xy^2
are these correct?
Click here to see answer by KnightOwlTutor(292) |
Question 164619: add and subtract the following
1) (7a^4+8ab+b^2)+(-5a^4-8ab-4b^2)
=7a^4+8ab+b^2-5a^4-8ab-4b^2
=(7a^4-5a^4)+(8ab-8ab)+(b^2-4b^2)
=2a^4+0-3b^2
=2a^4-3b^2 Ans
2) (6r+2s-1)-(4r-7s+1)
=(6r-4r)+(2s+7s)-(1+1)
=2r+9s-2 Ans
3) (7a^2b+4ab)+(9a^2b-8ab)-(11a^2b+14ab)
=(7a^2b+9a^2b-11a^2b)+(4ab-8ab-14ab)
=5a^2b-18ab
4) (-5x^3+2y^3)-(15x^3-7x^2y+8xy^2-4y^3)
=(-5x^3-15x^3)
question 1 I got 12a^4-3b^2
qustion 2 i got 2r-5s
qustion 3 i got 16a^2b+10ab-11a^2
question 4 I got -20x^3-xy^2
are these correct?
Click here to see answer by amitsinghbce(1) |
Question 164620: add and subtract the following
1) (21x^2y+4xy^2-7x)-(8x^2y+11xy^2-3x)
2) (8x^2+11xy-17y^2)+(2x^2+4xy-18y^2)
3) (-4x^2y-2z^2y)-(8x^2y-4z^2y)+(-6x^2y+14xy^2)
4) (2/3x^3-1/2x+1/4)-(2/5x^2-1/3x+1/9)
qustion 1 I got 13x^2y-15xy^2-10x
question 2 I got 10x^2+15xy+35y^2
question 3 I got -6x^2y+-6z^2y+14xy^2
question 4 I got 2/3x^3-2/5x^2-1/6x+1/13
are these correct
Click here to see answer by ankor@dixie-net.com(6693)  |
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