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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

2.0m x 50.0cm x 200.0mm?

Convert all to either meters, centimeters or millimeters.

2.0 m = 20 x 101 cm (200 without significant digits)

50.0 cm = 50.0 cm

200.0 mm = 2.00 cm

Multiply

200 cm x 50 cm x 2 cm = 8000 cm = 80 m = 8 dam (decameters)

How do you solve x plus 3 equals 5?

X+3=5 Is the same as 2+3=5. One way to look at it is to subtract the number from te answer. So, 3-5 equals 2. 2=X.

What is the slope of 4x equals -3y plus 8?

4x = -3y+8

3y = -4x+8

y = -4/3x+8/3

So the slope is -4/3 or -1 and a 1/3

How do you solve the proportion x5 equals 1610?

Assuming that the question is find x in x5=1610; the answer is 4.378901

What is x if 3X plus 13 equals 61-3X?

3x + 13 = 61 - 3x : add 3x to both sides

6x + 13 = 61 : deduct 13 from both sides

6x = 48 : divide both sides by 6

x = 8

Sec - cos equals tansin?

Prove that tan(x)sin(x) = sec(x)-cos(x)

tan(x)sin(x) = [sin(x) / cos (x)] sin(x)

= sin2(x) / cos(x)

= [1-cos2(x)] / cos(x)

= 1/cos(x) - cos2(x)/ cos(x)

= sec(x)-cos(x)

Q.E.D

What is the slope of the graph of 7x equals 3y minus 8?

7/3 im pretty sure

Another Answer:-

If: 7x = 3y-8

Then: -3y = -7x-8

And so: y = 7/3x+8/3

Therefore: the slope is 7/3 and the y intercept is 8/3

X plus y plus z equals 9 and x plus 2y plus 3z equals 23 and x plus 5y-3Z equals -7 solve for x and y and z?

Can you help with this equation? Thanks.

Solve for x and y and z for the following.

x plus y plus z equals 9

x plus 2y plus 3z equals 23

x plus 5y plus -3z equals -7

How do you factor 5x2 plus 5x - 5 equals 0?

you would first do 10+5x-5=0, then 5x+5=0 and is factored by 5(x+1)=0. or if you want to know what x equals with, x=-1

Is y equals 2x plus 1 a function?

No. That is an equation. A fraction can be plugged into it for x or y. An example of a fraction is 1/2

How many solutions 4x2 plus 8x plus 3 equals 0?

Start with the equation 4x2 + 8x + 3 = 0.

Invoke the quadratic equation:

x = [-b ± √(b2 - 4ac)]/2a, where a = 4, b = 8, and c = 3.

Plug in the values for a, b, and c and solve:

x = [-8 ± √(82 - 4*4*3)]/2*4,

x = [-8 ± √(64 - 48)]/8,

x = -1 ± √(16)/8,

x = -1 ± 1/2,

x = {-1/2, -3/2}.