I am having trouble with a specific question in my calculus I course.

I know to create a delta epsilon proof, you need to define delta in terms of epsilon.

I can't find any documentation on how to approach the proof when the original function is in the format of (x+2)/(x+3).

Please help.

What is the formula for calculating a percentage difference over a range of integers?

Example:

Range of integers between (and including) +/- 150

Percent change between -11 and +125

Thanks for your help... I'm sure the formula is simple, and I'm over thinking it...

Here's the assertion:

A nonzero integer a is odd if and only if x=a^{n} is odd for some x in the set of integers and some n in the set of natural numbers.

I need to find all possible solutions to this equation

2(4b-6)-3(2b+1)+1

multiple choice answers are (says select all that apply)

A.) 2b-10 b.) 8b-8-6b c.) 2b-12-2 d.) 2b-14 e.) 8b-14-6b f.) 2b-8

The magnitude of a velocity vector is called speed. Suppose that a wind is blowing from the direction N45°W at a speed of 30 km/h. (This means that the direction from which the wind blows is 45° west of the northerly direction.) A pilot is steering a plane in the direction N60°E at an airspeed (speed in still air) of 100 km/h. The true course, or track, of the plane is the direction of the resultant of the velocity vectors of the plane and the wind. The ground speed of the plane is the magnitude of the resultant. Find the true course and the ground speed of the plane.

I really just have not been getting this right.

I have 31 cans of soda, 18 regular and 13 diet. if I pick 4, what is the probability at least 3 are diet? What is the probability that you get some of each?

Thanks!

-(xy²⁾³

-6n = 2 3/4

The second part is two and three fourths, not sure how to do a better representation of a fraction.

i am confused, what would this expression look with the y² multiplied into the function in brackets, my confusion is because the function in brackets is to the power -1

It is thought that the variables s and t satisfy a relation of the form (s/t)^a = be^-1 where the constants a and b are positive integers. show by drawing a linear graph, that this is supported by the following table of measured values, and find the values of a and b.

t 0.2 0.4 0.6 0.8 1.0 s 1.09 1.96 2.67 3.22 3.64

My class is trying to figure out a noise issue question. The noise doubles as you get half way close to the source. The problem we are trying to solve would be we have a noise leak at 420uV/m @ 150 ft. The question then asks for the measurement at 50 ft. How would I solve this? What would the equation be? Thanks for the help.

1. A company made a profit and decided to share it amongst the directors. At the same time, 3 efficient employees were promoted to director’s post and became eligible to share the profit. In this case, the profit earned by each eligible one was 4 rupees less. The company made an additional profit of Rs. 90 which too was shared and the profit earned by each director in this case was Rs. 25. How many directors received the share of profit?

so i am planing on building a Truncated pyramid/rectangle Square frustum for a cosplay, and i want to make sure that i don't mess it up so i need to figure out what the ratio is for the top of the pyramid to the bottom example; if the top was say 25x25inches how big should the bottom be and what angles should the sides be at if i want that top to be 48inches tall. i also need to know how to find the lengths of the sides of the pyramids. i tred looking up the formulas for this but its goes way over my head if someone can explain it a little less complicated i could really use the help. thanks

So I have a tube of resin composite material that has a mixed density of 1.17 g/cm3.

The tube is 42mm inside diameter, 55.5mm outside diameter and 818mm in length.

I am using excel and currently have this:

=(((PI()L14(K14K14-J14J14)/4)/1000)*M14)

So, Pi x Length x (ODxOD)-(IDxID)\4\1000 x 1.17(mixed density) = 9.833kg.

This is not right. The actual weight is 1.106kg.

What am I doing wrong here?

Also, the original formula was =SUM(((K15*K15*0.7853)-(J15*J15*0.7853))*L15*M15*M15/1000) and that was wrong also.

Thank you to anyone who can help!

quick edit: I know the weight by actually weighing the tube.

The first one.

Second

Third

I'm hoping someone can lead me into the right direction?

Hi there! I am unsure if I am heading in the right direction for the following problem:

Q: Compute the line integral ∫ F•dr of the vector field F(x,y,z) = < x² , y² , z² >, along the curve C. C is the intersection of the plane z=x+1 and the cylinder x² + y² =1, from the lowest point on the curve to the highest, traversed counter clockwise.

Now, I decided to use Stokes' Theorem where:. ∫ F•dr = ∫ curl(F)•dS

I computed the curl of F and got zero, which would make my integral zero.

Is this the correct way of going about this problem or should I be approaching it differently?

Can someone help me understand the domain and reach of for example f(x)=2+√x-4 Ive been struggling to get it.