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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
What is 2x squared plus x squared?
Oh, dude, that's like basic math, right? So, 2x squared plus x squared is just 3x squared. It's like adding apples to apples, but with math. Easy peasy lemon squeezy!
In the equation 1-10x equals 81 what does x equal?
Oh, what a happy little equation we have here! Let's bring some joy to this math problem. To find the value of x, we need to isolate it by moving the numbers around. Start by subtracting 1 from both sides, then divide by -10. And just like that, you've found the value of x - it's -8.
What is the symbol for skew lines?
Well, darling, the symbol for skew lines is an "S" with a slash through it. It's like a big ol' "NOPE" sign for lines that will never meet no matter how much they try. So, if you see that symbol, just accept that those lines are going their separate ways and move on with your life.
Listen up, honey. The area of an equilateral triangle is given by the formula A = (sqrt(3)/4) * x^2, and the perimeter is simply P = 3x. So, if you want to express the area and perimeter of that triangle as a function of the side length x, there you have it. You're welcome.
How long will it take 27 grams of plutonium-240 to decay to 9 grams?
The decay of plutonium-240 follows exponential decay kinetics, where the amount remaining is given by the equation: N(t) = N0 * e^(-λt), where N(t) is the amount remaining at time t, N0 is the initial amount, λ is the decay constant, and e is the base of the natural logarithm. The decay constant for plutonium-240 is 0.0106 years^-1. By rearranging the equation to solve for time (t) when N(t) = 9 grams and N0 = 27 grams, you can calculate the time it will take for 27 grams of plutonium-240 to decay to 9 grams. The calculated time will be approximately 20.5 years.
How many 12x12 tiles needed for a 10 x 10 room?
To calculate the number of 12x12 tiles needed for a 10x10 room, you first need to find the area of the room. A 10x10 room has an area of 100 square feet. Since each 12x12 tile covers 1 square foot, you would need 100 tiles to cover the entire room.
Well, isn't that a happy little equation we have here! To graph it, we can start by rearranging it into the slope-intercept form, y = mx + b. So, we solve for y to get y = -0.5x + 1, which means the y-intercept is 1 and the slope is -0.5. Now, we can plot the y-intercept at (0,1) and use the slope to find another point, then connect the dots to draw a line. Remember, there are no mistakes in math, just happy little accidents!
What is the quotient of x and 5?
The quotient of x and 5 is the result of dividing x by 5. In mathematical terms, this can be represented as x ÷ 5. The quotient represents how many times 5 can be evenly divided into x. This operation results in a numerical value that indicates the ratio of x to 5.
What are the two techniques used to increase the clock rate R?
The two techniques used to increase the clock rate R in a computer system are pipelining and parallel processing. Pipelining involves breaking down the execution of instructions into smaller stages that can be processed simultaneously, increasing overall efficiency. Parallel processing involves using multiple processors to execute tasks concurrently, further boosting computational speed. Both techniques aim to optimize the utilization of hardware resources to enhance performance.
You write 909,000 as "nine hundred nine thousand." It's as simple as that. Now go impress someone with your newfound knowledge.
Y*Y would equal y2 in algebra, however there is no specific value to the variable y. If that question also said "Y=2," then 2*2 would equal 22 or 4.
A measuring tape is a tool used to accurately measure the length or distance of an object. It typically consists of a flexible tape with markings in inches, centimeters, or both. The main function of a measuring tape is to provide precise measurements for various applications such as construction, sewing, or crafting.
If an object travels at five feet per second how many feet does it travel in one hour?
200. MAG compute ano ka hari?! ha?!
What is 2x plus 3y plus 4x plus 9y?
To simplify the expression 2x + 3y + 4x + 9y, you first combine like terms. Adding the coefficients of x terms gives 2x + 4x = 6x. Similarly, adding the coefficients of y terms gives 3y + 9y = 12y. Therefore, the simplified expression is 6x + 12y.
Well, isn't that a happy little math problem! To find out what 2x plus 2 equals, you simply need to add 2 to whatever number x represents. It's like adding a couple of friendly little birds to your painting to make it even more beautiful!
