Calculus

All new and solved questions in Calculus category

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A ball of radius 17 has a round hole of radius 4 drilled through its center
A ball of radius 17 has a round hole of radius 4 drilled through its center. Find the volume of the resulting solid....
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Eliminate the parameter to find a Cartesian equation of the curve with parametric equations:x=9cos(theta)y=5sin(theta)0<(or equal to) theta <(or queal to) 2pi
Eliminate the parameter to find a Cartesian equation of the curve with parametric equations:x=9cos(theta)y=5sin(theta)0<(or equal to) theta <(or queal to) 2pi...
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An open rectangular box is to be made from a 13-incch by 19-inch piece of cardboard by cutting identical squares from each corner and bending up the sides
An open rectangular box is to be made from a 13-incch by 19-inch piece of cardboard by cutting identical squares from each corner and bending up the sides. Find the square width that maximizes the volume of the box...
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Use Newton's Law of Gravitation to compute the work W required to launch a 1500 kg satellite vertically to an orbit 800 km high
Use Newton's Law of Gravitation to compute the work W required to launch a 1500 kg satellite vertically to an orbit 800 km high. You may assume that the earth's mass is 5.98*10^24 kg and is concentrated at its center. Take the radius of the earth to be 6.37*10^6 m and G = 6.67*10^-11 Nm^2/kg...
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Use Newton's Law of Gravitation to compute the work W required to launch a 1500 kg satellite vertically to an orbit 800 km high
Use Newton's Law of Gravitation to compute the work W required to launch a 1500 kg satellite vertically to an orbit 800 km high. You may assume that the earth's mass is 5.98*10^24 kg and is concentrated at its center. Take the radius of the earth to be 6.37*10^6 m and G = 6.67*10^-11 Nm^2/kg...
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What is the volume of a trough with the length of 12 and has a cross section which is an equilateral triangle with sides of 4 feet
what is the volume of a trough with the length of 12 and has a cross section which is an equilateral triangle with sides of 4 feet...
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Solve 1=8cos(2x+1)-3 give in exact form and decimal
solve 1=8cos(2x 1)-3give in exact form and decimal...
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Integrating areas between curves
Sketch the region enclosed by y=5x and y=7x2. Decide whether to integrate with respect tox or y. Then find the area of the region....
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Differential Equation-Integration from acceleration to position
According to a newspaper account, a paratrooper survived a training jump from 1246 ft when his parachute failed to open but provided some resistance by flapping in thewind. Allegedly he hit the ground at 100.75 mi/h after falling for 6.5 seconds. To test the accuracy of this account, you should firs...
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An object is dropped off a tower
An object is dropped off a tower. Its height h (in feet) above the ground after t seconds is given by h(t) = 576 – 16t2 . Which of the following is the velocity when it strikes the ground?...
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Hydrostatic force
Determine the force due to hydrostatic pressure on the flat vertical side of a tank which has the shape in feet of the boundariesy=0 y=10lnx y=10ln(-x) and the line y=10ln25.Note that water has density 62.4lb/ft^3...
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Absolute max and min
Find the absolute maxima and minima of the function on the given domain.T(x,y)=x ^2 + xy + y^2 – 9x + 2 on the rectangle plate 0 <= x <= 7, -4 <= y <= 0Maxima? At f = ?Minima? At f = ?...
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Exponential Growth & Decay
A roast turkey is taken from an oven when its temperature has reached 185°F and is placed on a table in a room where the temperature is 75°F. (Round your answers tothe nearest whole number.)(a) If the temperature of the turkey is 150°F after half an hour, what is the temperature after 55...
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A 160-lb man carries a 25-lb can of paint up a helical staircase that encircles a silo witha radius of 20 ft
A 160-lb man carries a 25-lb can of paint up a helical staircase that encircles a silo witha radius of 20 ft. If the silo is 90 ft high and the man makes exactly three complete revolutions, how much work is done by the man against gravity in climbing to the top? I looked at this problem and got tha...
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Calculus
Evaluate the integral. 9r2/r + 6 dr...
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Find the area of the shaded region
http://www.webassign.net/tanapmath5/11-6-008.gif...
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Find the distance traveled by a particle with position (x, y) as t varies in the given time...
x=3(sin^2)t, y=3(cos^2)t, 0 less than or equal to t which is less than or equal to 2piA. Find the distance traveled by a particle with position (x, y) as t varies in the given time interval.B. What is the length of the curve?...
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] In the United States, a doll house has the scale of 1:12 of a real house (that is, each length of the doll house is 1/12 that of the real house) and a miniature house (a doll house to fit within a doll house) has the scale of 1:44 of a real house
[HRW7 1.P.034.] In the United States, a doll house has the scale of 1:12 of a real house (that is, each length of the doll house is 1/12 that of the real house) and a miniature house (a doll house to fit within a doll house) has the scale of 1:44 of a real house. Suppose a real house (Fig. 1-8) has ...