03/22/19

These are distinct Subsets

What is The number of distinct subsets of {2,3,4,...,21}What is The number of distinct subsets of {3,4,5,...,16}

03/22/19

g′(x)=7x^2−8x+7 When is the function g(x) concave down?

g′(x)=7x^2−8x+7 When is the fuction g(x) concave down?

03/19/19

How can we move an object with zero velocity?

Consider there is a box of mass $m$ at rest on the floor. Most books give an example that we need to do a work of $mgh$ to lift the box $h$ upward. If we analyze this work done, the external force... more

03/14/19

How do I calculate the normal vector of a line segment?

Suppose I have a line segment going from (x1,y1) to (x2,y2). How do I calculate the normal vector perpendicular to the line? I can find lots of stuff about doing this for planes in 3D, but no 2D... more

03/14/19

Is 4/x+y/4=3/8 a linear equation?

03/14/19

Confusion with Newton's third law?

> “Every action has an equal and opposite reaction.” I have a query about the word *every* in that sentence. Suppose we have two objects A and B. A pushes B with a force of 5N and B will push... more

03/14/19

How do I evaluate (1+i)2+i(1+i)2+i?

Why isn't Earth a perfect sphere?

In general, almost everyone describes Earth as an perfect sphere, but in reality it isn't a perfect sphere. Is there any specific reason why Earth is not perfect sphere ?

Do "other" trigonometric functions than Tan Sin Cos and their derivatives exist?

I remember my physics teacher mentioning that other trigonometric functions exist apart from the Sin Cos and Tan, he mentioned a few and they did not sound familiar, nothing like Sec Csc and Cot. I... more

How do you integrate: ∫π20sin(3x)cos(2x)dx ?

03/13/19

How do you graph a rational function?

Why are turns not used as the default angle measure?

Why is $2\\pi$ radians not replaced by $1$ turn in formulas? The majority of them would be simpler. If such a replacement was proposed earlier, why was it declined?

03/12/19

Are there undiscovered elements?

A table of values for a continuous function f is shown below.

If four subintervals are used, which of the following is the right sum approximation of ∫ fxdx (x=0 to x=2)?x: 0 0.5 1.0 1.5 2.0y: 4 6 8 12 22A) 6B) 12C) 24D) 48E) 60

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