## CHECK THESE SAMPLES OF Calculus Problems and Tasks

...Calculus Problems and Tasks... Calculus Problems and Tasks... The Calculus In its existence and approach, Calculus attempts to explore the grounds for the undefined nature of a function and designates a sensible understanding about up to which extent it would exist considering assumptions or applicable conditions. As in the rest of the significant fields in Mathematics, Calculus intellectuals had professed to work with a base knowledge of other math areas such as algebra and trigonometry to lay foundations and build on definitions, postulates, and theorems in conveying the purpose of the course and attain to its end thereafter. During elementary level of math education, one merely learns that divisibility by zero is not in any way valid or...

2 Pages(500 words)Essay

...Calculus Problems and Tasks... Calculus Problems and Tasks... Leadership Leadership Experience To step out of your comfort zone and lead the people is the best job one could offer. As a simple worker, becoming a leader is not an easy work to do. Though chances are always there, there are different challenges in performing the tasks of a leader. There are a lot of responsibilities to do and leading the crowd is a hard task to accomplish. The thought of being led instead of leading the crowd always comes out whenever there are chances of doing such. Remembering the time when stepping out of the personal comfort zone is really good. Thinking of being a leader is actually not a dream but only a sort idea that comes to mind. There was a time when...

3 Pages(750 words)Assignment

...Calculus Problems and Tasks... Calculus Problems and Tasks... Head: ICT MATHS Discuss your own work on three of the mathematics tasks in Chapters 2, 3 and 4, using no more than one task from any one chapter
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Working on mathematical tasks involving geometric thinking, as experienced in various tasks, falls under different levels of difficult from learner to learner. For example, there are problems those mere calculations in order to arrive at conclusions, while there are problems that need applications of mathematical concepts and problem solving techniques in order to arrive at a solution. These latter problems may be tricky and hard to conceptualize but with a clear basis and knowledge of different ...

8 Pages(2000 words)Math Problem

...Calculus Problems and Tasks... 115 Module 3 The strength of the acid depends on the Ka values of the acid. Acids with more stable conjugate bases have higher strength. So the order of the acidic strength would be H2SO4 > HClO3 > HClO2 > H2S > H2O
2. A Bronsted base is the substance that has the ability to accept protons. Here PF5 does not have the ability to accept proton or protons. Therefore PF5 is not a Bronsted base.
3. Considering the equation:
HA H+ + A- and applying the acidic equilibrium equation:
Ka=x20.02-x=3.0*10-8
On solving we get [H+] = x = 2.4x10-5
We know; pH = -log [H+] = -log (2.4x10-5) = 4.61
4. The value of the equilibrium constant is only dependent on the temperature of the reaction. Whereas the concentration of the react...

4 Pages(1000 words)Scholarship Essay

...Calculus Problems and Tasks... 2 Questionnaire Analysis A study has been conducted to determine the opinions of travel agents on promoting responsible tourist behaviour to their clients. Responsible tourist behaviour was defined as acting in manner that was beneficial to the local economy, the local culture and the natural environment. 200 questionnaires were sent out to travel agents, out of which 75 were independent travel agents, and 125 were multiple travel agents.
Figure 1. Types of Travel Agents
Profile of Respondents
Figure 2. Respondents Summary
36 percent of independent travel agents responded. 9.6 percent of multiple travel agents responded. Overall response among both types of travel agents was 19.5 percent.
39 questionnaires were ...

6 Pages(1500 words)Essay

...Calculus Problems and Tasks... and the Geometry of Space Q1. A scalar quantity is fully described or specified using its magnitude or value. For example one has to specify mass of a ball; then saying 2 kg would suffice. Similarly, distance traveled by a person in his morning walk will be a few kilometers. It is not at all required whether he went towards North – East and then took a left turn and then right turn at 60o and so; not none of this is required. In fact no directional information or any reference to any co-ordinate system is required while specifying a scalar quantity. Therefore, it is only natural that value of a scalar quantity is independent of the choice of the coordinate system.
Q2. A scalar quantity can be either negative or z...

4 Pages(1000 words)Lab Report

...Calculus Problems and Tasks... Pre-Calculus Opposite (5) hypotenuse 89) Adjacent (8) X = Arctan =(opposite/adjacent) = 5/8, but cotx = 1/tanx
So cot(actan) =8/5
X = arcsin (opposite/hypotenuse) =(-√2/2), but secx = 1/sinx, hence sec(arcsin -√2/2) = -2/√2
2.
The value of the following without using calculator,
a. tan-1(-√3/3).
Let x = tan-1(-√3/3) = tan-1(-√3/3)x√3, hence tanx =-1/√3-3, tan2x=1/3√3, but 1+tan2x=sec2x, thus sec2x=1+1/3 =4/3, secx=1/cosx=2/(√3-3√3), but cos√3+ or -√3-3/2, which can be written as cosx = (√3-3)/2√3, hence x=π/6. From the quadrant, cosine is negative only on 2nd and 3rd , so the solution for will be in quadrants where tan is negative 2rd and 4th, so solutions are 11 π/6 and 5 π/6.
b. cos-1(1), from the quadrant...

1 Pages(250 words)Speech or Presentation

...Calculus Problems and Tasks... Calculus Problems and Tasks... Calculus Part 1. The Product Rule Solutions The derivative of f(x) = g(x) h(x) is given by f (x) = g(x)h (x) + h(x) g (x) (Larson, 2012).
a. f(X) = (7X + X-1)*(3X + X2)
Let g(x) = (7X + X-1) and h(X) = (3X + X2)
Therefore, f (X) = (7X + X-1) (3 + 2X) + (3X + X2) (7 -X-2) =
21x + 14x2 + 3x-1 + 2 + 21x – 3x -2 + 7x2 – 1
f (X) = 42x + 21x2 +3x-1 -3x -2 +1
b. . f(X) = (X0.5)*(5-X)
Let g(x) = (X0.5) and h(x) = (5-x)
f (x) = (x1/2) (1) + (5-x) (1/2x -1/2)
f (x) = x1/2 + 2.5x -1/2 – x3/2
c. f(X) = (X3 + X4)*(50 + X2)
Let g(x) = (X3 + X4) and h(x) = (50+x2)
Therefore, f (X) = (X3 + X4) (2x) + (50 + x2) (3x2 + 4x3) =
2x4 + 2x5 + 150x2 + 200x3 + 3x4 +4x5
f (X) = 5 x4 + 6 x5 + 150x2 + 200x3
...

2 Pages(500 words)Assignment

...Calculus Problems and Tasks... Evaluate the derivative of the function at the indicated points on the graph. (If an answer is undefined, enter UNDEFINED f (3 f (6) = 2
f (12)
= 3
f(x) = x + 108
x2
2. Consider the following function.
f (x) = -7x√x + 1 (it is root x+1)
Evaluate the derivative of the function at the indicated points on the graph. (If an answer is undefined, enter UNDEFINED.)
3. Use the derivative to identify the open intervals on which the function is increasing or decreasing. Verify your result with the graph of the function. (If you need to use or –, enter INFINITY or –INFINITY, respectively. Enter NONE in any unused answer blanks.)
f (x) =
x3
36
− 3x
Increasing at (-INFINITY, -6) U (6, INFINITY)
1...

4 Pages(1000 words)Assignment

...Calculus Problems and Tasks... Calculus Problems and Tasks... Introduction The birth of Calculus, in the 17th Century, is attributed to Sir Isaac Newton and Gottfried Wilheim von Leibniz. Even though they are the primary founding fathers of Calculus, they developed it independently and perceived the fundamental concepts in contrasting manners. For instance, Newton perceived the applications of Calculus as being geometrical and having a strong link to the physical world. He even used Calculus to try to explain how planets orbit around the sun. On the other hand, according to Leibniz, Calculus entailed analyzing the changes in graphs (Simmons 67).
Newton-Leibnitz Controversy
Their professional backgrounds played a very important role in the way the...

2 Pages(500 words)Coursework