02/07/25
A spherical tank with radius 4 m is half full of a liquid that has a density of 900 kg/m3. The tank has a 1 m spout at the top.
Find the work W required to pump the liquid out of the spout. (Use 9.8 m/s2 for g.)
01/22/25
Could somebody please help me with these physics questions?
Two boxes with different masses are tied together on a frictionless ramp surface. where L = 2.39 and M = 1.70.What is the tension in the lower cord? What is the tension in the upper cord? A...
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Right Riemann Sum to Determine an Integral that Defines an Area
Consider the region bounded by y=2-x2 and y=-x from x=-1 to x=2. Use a Right Riemann Sum to create an integral that calculates the area of the region. You don't need to evaluate the integral.
11/21/24
Direction Fields and Numerical Methods
Use Euler's method with step size 0.4 to estimate y(0.8), where y(x) is the solution of the initial-value problem y' = -3X-2 +y^2, y(0) = -1 what is y (0.8)?
11/12/24
Physics, kinematics, free fall motion
I'm confused about the role of the minus sign in gravitational acceleration calculations.g (9.8 m/s²) is always positive because it represents the magnitude of gravity and magnitude can never be...
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Continuity and Differentiability from a Real Analysis Standpoint
Let fa(x) = {xa if x > 0 {0 if x <= 0a) For which values of a is f continuous at 0?b) For which values of a is f differentiable at 0? Is the derivative function continuous? c)...
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11/06/24
A company has $27600 to spend on the development and promotion of a new product.
The company estimates that if x is spent on development and y is spent on promotion, then approximately (x^3/2*y^1/2)/80000 items of new product will be sold. Based on this estimate, how much...
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11/06/24
A company has $ 27600 to spend on the development and promotion of a new product. The company estimates that if x is spent on development and y is spent on promotion,
then approximately (x^3/2*y^1/2)/80000 items of new product will be sold. Based on this estimate, how much should the company spend on development so the maximum number of products can be sold?
10/26/24
optimization question Calc 1
An island (I) is 3.5 mi from the nearest point (S) on a straight shoreline; that point (S)is 8 mi from the power station (P). A utility company wants to lay electrical cable underwaterfrom the...
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