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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

Evaluate -3x2 4x plus 1 when x equals -2?

-95

-3(-2)squared times (-4)(-2) plus 1

-3(-4)(-8)+1

(12)(-8)=1

(-96)+1

-95

2x squared minus 3x plus 16 equals 0?

Try the discriminant.

b^2 - 4ac

(-3)^2 - 4(2)(16)

9 - 128 < 0

so, no real roots here

What is a minus x a plus?

Minus.

You are multiplying a negative number a positive number of times.

-3(2)

-9

Is the 4 x 100m relay the same as the 400m?

the total distance you run is 400m. so it is the same thing. all 4x100 means is that there are 4 people running 100 meters.

What does x and y equal and the equation for x for 2x - 4y equals 3.8 and 3x - y equals 17.7?

Try a system of equations and substitution, or elimination here.

2X - 4Y = 3.8

3X - Y = 17.7

I will try elimination

-3(2X - 4Y = 3.8)

2(3X - Y = 17.7)

-6X + 12Y = -11.4

6X - 2Y = 35.4

----------------------------add

10Y = 24

Y = 12/5

Put into one of original equations for X

3X -(12/5) = 17.7

3X = 201/10

X = 67/10

---------------

check

2(67/10) - 4(12/5) = 3.8

67/5 - 48/5 = 3.8

19/5 = 3.8

3.8 = 3.8

checks for that one, you check the other. Hint change to fractions, or decimals for better handling. My TI-84 can do this easily, but I do not know your calculator or capabilities

How do you turn X equals 5 plus y into ordered pairs?

Put in function form.

X = 5 + Y

5 + Y = - X

Y = - X - 5

==================The ordered pairs.

What is the sin of 2 pie?

sin(2*pi) - not pie - is the same as sin(0) = 0

How does the value of the expression x plus 5 change each time you increase the value of x by 1?

each time you add 1 to x the value goes up by one for example if x=2 then 5+2=7 but if you add 1 to x and x=3 then 5+3=8

How many solutions are in x2 plus x plus 4 equals 0?

There are none. For this equation, there is nonreal answer, as the graph of the quadratic does not pass below the x-axis

What is 10 plus 6x plus 2x equals 18 equal?

10 + 6x + 2x = 18

First, add the like terms.

6x + 2x + 8x.

So now the problem is 10 + 8x = 18.

Then subtract 10 from both sides.

8x = 8

Divide by 8 to get the variable by itself.

x = 1

What are the applications of congruency in daily life?

It's a general reasoning technique. If you can see that x is congruent to y then what goes for y also goes for x. Congruent just means is the same for the properties we are considering at the moment.

Solve 2x plus 3y equals 12 when x equals 1.45?

2x + 3y = 12

x = 1.45, so

2 * 1.45 + 3y = 12

2.9 + 3y = 12

3y = 12 - 2.9 = 9.1

y = 9.1/3 = 3.0333... or 91/30 or 3 1/30.

How do you graph x-y equals -2?

x - y = -2

Get the y alone on the left.

- y = -2 - x

y = 2 + x

y = x + 2

This is the slope-intercept form. y=mx+b m=slope=1 and b=intercept=2

This means that the graph has a slope of 1, so goes up one unit for each unit it goes right, and crosses the y-axis at y=2. ■

How do you simplify x brackets x plus 1 brackets squared?

x[x+1] squared

Simplified is, to my knowledge,

x squared plus ( x + 1) squared