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.)

02/06/25

Integrating Square Roots

Evaluate the integral:0 ∫ 2pi √((1-cosx)/2) dx

01/23/25

Integration question

I keep getting wrong answer, can someone help me with tis

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... more

12/13/24

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)?

11/20/24

Find the length of the curve.

x=9t-3t^3, y=9t^2, 0<_t<_3

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... more

11/10/24

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)... more

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... more

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... more

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