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Calculus

The branch of mathematics that deals with the study of continuously changing quantities, with the use of limits and the differentiation and integration of functions of one or more variables, is called Calculus. Calculus analyzes aspects of change in processes or systems that can be modeled by functions. The English physicist, Isaac Newton, and the German mathematician, G. W. Leibniz, working independently, developed calculus during the 17th century.

25,068 Questions

Sin Squared x plus cos x equals 0 for x is a part of 1 to 360 degrees?

Replace sin2x with the equivalent (1 - cos2x). Simplify, and use the quadratic equation, to solve for cos x.

Replace sin2x with the equivalent (1 - cos2x). Simplify, and use the quadratic equation, to solve for cos x.

Replace sin2x with the equivalent (1 - cos2x). Simplify, and use the quadratic equation, to solve for cos x.

Replace sin2x with the equivalent (1 - cos2x). Simplify, and use the quadratic equation, to solve for cos x.

How many seconds would it take to travel 365 feet if you were going 40 miles per hour?

These are way easier then people make them... use picket fences and units of conversion:

So to do this procedure:


tfinal=? vo=40 mi/hr dfinal=365 ft


So take 40 and divide it by 60 min then divide again by 60 sec to get units into seconds. Then take this number and multiply by 5280 ft to get units in ft/sec. Now we now that 40 mi/hr = 58.66 ft/sec we can take our dfinal over 58.66 ft/sec to get a tfinal= 6.22 s.

What is the answer to -3x plus 10x-5?

Combine like terms

-3x+10x becomes (-3+10)x
which can be expressed as 7x
put the -5 back in and the simplified equation is
7x-5

You did not specify an = sign in the equation but if we make the equation = to 0 then we can take this farther.

7x-5=0

add 5 to both sides and we get

7x=5

divide both sides by 7 and we end up with

x=5/7

Where do you plot -4x plus 4?

y=-4x+4
A good way is to give numbers for x and see what y is. I've done enough of these to see it in my head.
All you need is two points. The y-intercept is 4 because that's when x is 0. (0,4)
Then go right unit then down 4 and that's your next point.
0=-4(1)+4
Which is (1,0)

Connect the two lines

What is 2x squared minus 1?

That's going to completely depend on what 'x' is.

How do you do this problem 2x equals 7x - 10?

2x = 7x - 10

subtract the 7x from both sides

2x - 7x = -10

-5x = -10

divide both sides by -5

x = 2

What is the factor of the trinomial 7x square plus 7x-14 in polynomail in descending form?

you set it equal to zero

7x^2 + 7x - 14 = 0

since there is a common factor of 7, you can divide each term by that, including the zero on the other side, which just gives you zero again...

(x^2 + x - 2) = 0

You have to find two numbers that multiply to give you the coefficent of the third term (c = -2), and add to give you the coefficient of middle term (b = 1)

so, +2, and -1 add to give you +1 (b), and multiply to give you -2 (c).

so the factors are:

x+2 and x-1

(and therefor the roots are x= -2, and x =1, but you just asked for the factors)

What is x2plus6xplus 5?

What do you mean by "solve"? This is not an equation.

What is the x-intercept for this linear equation 5 x - 4 y equals 18?

There is one simple way to find the answer to this.

The x-intercept occurs when y = 0 as this is the equation of the x-axis. Along the x-axis, the value of the y is always zero.

There fore you can take the value y = 0, substitute into the equation and then solve for x.

e.g.

5x - 4 x 0 = 18

5x = 18

x = 3.6

Hence the x-intercept is when y = 0 and x = 3.6

This method also translates to how to find the y-intercept. The only difference is that you substitute x = 0 into the equation.

Can you use two different scales on a single set of axes?

Definitely! In fact, it's way more common for the scales to differ than be equal. For instance, the equation y=x^2 is curved (a parabola in fact). Well, there's nothing stopping you from scaling the y axis down by its square root, assuming you clearly label it that way, so that the graph is linear.