Create a bucket by rotating around the y-axis the curve y=5ln(x−4) from y = 0 to y = 6. If this bucket contains a liquid with density 720 kg/m3 filled to a height of 2 meters, find the work required t...
Create a bucket by rotating around the y-axis the curve
y=5ln(x−4) from y = 0 to y = 6. If this bucket
contains a liquid with density 720 kg/m3 filled to a
height of 2 meters, find the work required to pump the liquid out
of this bucket (over the top edge). Use 9.8 m/s2 for
gravity.
Work =_____ Joules
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Create a bucket by rotating around the y-axis the curve y=5ln(x−4) from y = 0 to y = 6. If this bucket contains a liquid with density 720 kg/m3 filled to a height of 2 meters, find the work required t...
Create a bucket by rotating around the y axis the curve y=2ln(x−4)y=2ln(x-4) from y = 0...
Create a bucket by rotating around the y axis the curve y=2ln(x−4)y=2ln(x-4) from y = 0 to y = 4. If this bucket contains a liquid with density 820 kg/m3 to a height of 3 meters, find the work required to pump liquid out of this bucket (over the top edge). Use 9.8 m/s2 for gravity
5 points WORK LIFT PROBLEM An inverted conical tank at a chemical plant has a base radius of 4 m and height of 3 m and is completely filled with liquid nitrogen, which has a density of 808.4 kg/m3...
5 points WORK LIFT PROBLEM An inverted conical tank at a chemical plant has a base radius of 4 m and height of 3 m and is completely filled with liquid nitrogen, which has a density of 808.4 kg/m3. The Earth's gravitational constant is -9.8 m/s2. How much work is needed to pump all of the liquid nitrogen up through an outflow pipe that empties 3 meters above the top of the tank? (Note that the conical tank is opening...
The shape of a container is obtained by rotating the curve y = x^2 over the interval 0 ≤ x ≤ 2 about the y-axis. If the tank is full of water, the work required for pumping all water to the top of the...
The shape of a container is obtained by rotating the curve y = x^2 over the interval 0 ≤ x ≤ 2 about the y-axis. If the tank is full of water, the work required for pumping all water to the top of the tank can be expressed as an integral W = f(b,a) f(y)dy. Use trapezoidal rule on four subintervals of equal length to estimate the work. (Assume that water density is ρ kg/m3, and gravity acceleration g m/s2.)...
4. Find the centroid of the area bounded by the curve x2 (y-4), the x-axis and the y-axis on the first quadrant. A....
4. Find the centroid of the area bounded by the curve x2 (y-4), the x-axis and the y-axis on the first quadrant. A. , 8/5 B. 2, 64/3 C. , 5/4 D. 1/8,5 5. What is the area within the curve r2 16 cos 0? C. 30 A. 26 B. 28 D. 32 6. A uniform chain the weighs 0.50 kg per meter has a leaky 15-liter bucket attached to it. If the bucket is full of liquid when 30...
A reservoir has the shape of a pyramid with square base, with apex facing down. Its height is 2 m, a side from its base...
A reservoir has the shape of a pyramid with square base, with apex facing down. Its height is 2 m, a side from its base is 3 m and it is filled with water up to 1 m. Δ= (i Leta be the height in meters measured from the apex to the base of the reservor. The weight in New tons of a thin layer of water bete een approximately P (z) Δ# : What is P (z) ? P...
5 1.) A storage container has the shape obtained by revolving the curve y = 1x4...
5 1.) A storage container has the shape obtained by revolving the curve y = 1x4 (shown on the right) from x = 0 to x = 2 about the y-axis, where x and y are measured in meters. 4 4 3 The tank is partially filled with coconut oil, up to a height of 1 meter. 2 1 kg : 900 = and the (The density of coconut oil is p acceleration due to gravity is g m3, т...
5 points WORK LIFT PROBLEM An inverted conical tank at a chemical plant has a base radius of 4 m and height of 3 m and is completely filled with liquid nitrogen, which has a density of 808.4 kg/m3. The Earth's gravitational constant is -9.8 m/s2. How much work is needed to pump all of the liquid nitrogen up through an outflow pipe that empties 3 meters above the top of the tank? (Note that the conical tank is opening...
4. Find the centroid of the area bounded by the curve x2 (y-4), the x-axis and the y-axis on the first quadrant. A. , 8/5 B. 2, 64/3 C. , 5/4 D. 1/8,5 5. What is the area within the curve r2 16 cos 0? C. 30 A. 26 B. 28 D. 32 6. A uniform chain the weighs 0.50 kg per meter has a leaky 15-liter bucket attached to it. If the bucket is full of liquid when 30...
A reservoir has the shape of a pyramid with square base, with apex facing down. Its height is 2 m, a side from its base is 3 m and it is filled with water up to 1 m. Δ= (i Leta be the height in meters measured from the apex to the base of the reservor. The weight in New tons of a thin layer of water bete een approximately P (z) Δ# : What is P (z) ? P...
5 1.) A storage container has the shape obtained by revolving the curve y = 1x4 (shown on the right) from x = 0 to x = 2 about the y-axis, where x and y are measured in meters. 4 4 3 The tank is partially filled with coconut oil, up to a height of 1 meter. 2 1 kg : 900 = and the (The density of coconut oil is p acceleration due to gravity is g m3, т...
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