12/16/13
What's the maximum speed?
A compressed spring has 16 J of potential energy. What's the maximum speed it can impart to a 2 kg object?
Answer: 4.0 m/s
12/16/13
What's the potential energy?
A force of 10 N stretches a spring that has a spring constant of 20 N/m. What's the potential energy stored in the spring?
Answer: 2.5 J
12/15/13
Find dy/dx for the relation? (Please check my answer)
Find dy/dx for the relation 2xy^2+3*ln(y)=x^2-3y^3 at the point (3, 1).
I got 2/21 as the answer but the book says 1/6. Am I right? Can you show complete work so I see the procedure?
12/14/13
Find the y-intercept?
Find the y-intercept of the tangent line to the curve y=sqrt(x^2+33).
The answer is 33/7.
12/13/13
Find the slope?
Find the slope of the line normal to the curve y=-sqrt(x+4) at the point where x=0.
So I found that the derivative at x=0 is -1/4. Isn't the answer 4 because normal means you need to find the...
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Calculate the quotient?
Calculate the quotient a=x/y of the approximate numbers x=5.762 and y=1.24 if all the digits of the dividend and the divisor are valid. Find the relative and the absolute errors.
12/01/13
Find the y-intercept?
Find the y-intercept of the tangent line to the curve y=sqrt(x^2+33).
The answer is 33/7.
11/30/13
Find the integral?
Find the integral of 2^5x dx from negative infinity to 0.
When I integrate, I got 2^(5x)/(5*ln(2)) from negative infinity to 0, and I got 1/(5*ln(2))+infinity, but the answer should be positive...
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11/30/13
Calculate the quotient?
Calculate the quotient a=x/y of the approximate numbers x=5.762 and y=1.24 if all the digits of the dividend and the divisor are valid. Find the relative and the absolute errors.
11/27/13
Estimate the error?
Two lengths X and Y are measured approximately up to three significant figures as X=3.32 cm and Y=5.39 cm. Estimate the error in the computed value of X+Y.
11/26/13
Find their difference?
The numbers 23.982 and 3.4687 are both approximate and correct only to their last digits. Find their difference and state how many figures in the result are trustworthy.
11/26/13
Round-off the number?
Round-off the number x=3.4516 to three significant figures and find the absolute and the relative errors.
11/25/13
Find the errors?
If pi is approximated as 3.14 instead of 3.14156, find the absolute, relative and percentage errors.
11/22/13
Find the errors?
Find the absolute, relative and percentage errors when a) 2/3 is approximated to 0.667, b) 1/3 is approximated to 0.333, and c) true value is 0.50 and its calculated value was 0.49.
For part...
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Find the improper integral?
Find the improper integral of dx/x^5 from 1 to infinity. Answer: 1/4
11/20/13
Find the tension?
Luke Autbeloe twirls a 750 gram mass on the end of a 0.82 meter string. Find the tension at the top and bottom of the orbit. Assume the mass's velocity at both top and bottom is 3.7 m/s.
11/19/13
What's the slowest speed?
A frictionless rollercoaster does a vertical loop with a radius of 6.0 m. What's the slowest speed that the rollercoaster must have at the top of the loop and avoid falling?
11/18/13
What must be the friction?
Harry Hotrod rounds a corner in his sports car at 50 km/h. The friction force holds him on the road. If he has twice the speed, what must be the friction force to prevent him from skidding off the...
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11/18/13
What's the shortest length?
A certain cord will break if its tension exceeds 360 N. Suppose the cord is attached to a 0.40 kg ball. If the ball is to be swung with a speed of 25 m/s, what's the shortest length of cord that...
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11/18/13
How fast can the ball?
A certain cord will break if its tension exceeds 250 N. Suppose the cord is attached to a 0.50 kg ball. If the ball is swung in a horizontal circle at the end of a 0.80 m cord, how fast can the...
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11/18/13
What's the centripetal acceleration?
What's the centripetal acceleration of a car traveling at a constant speed of 26.0 m/s around a curved road which has a radius of 225 m.
11/17/13
Find a nonzero matrix?
Find a nonzero matrix A for which A^2=0.
Please help me with steps. Thanks.
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