Mathematics | Senioritis

John Rhodes
June 21, 2023
Calculus

Calculating Tank Integral: A Comprehensive Guide For Monitoring Substance Levels In Tanks

Tank Integral int(bottom, top) (pVgd) Tank integral refers to the process of finding the total amount of a certain substance that has been contained in a tank...

John Rhodes
June 21, 2023
Calculus

The Mean Value Theorem: Applications In Calculus, Physics, And Economics

Mean Value Theorem 1/(b-a) int(a,b) (f(x)) The Mean Value Theorem (MVT) is a fundamental theorem in calculus that provides a relationship between an interval of a function...

John Rhodes
June 21, 2023
Calculus

Master Integration Like A Pro: Simplifying Difficult Integrals With The Integration By Parts Method In Calculus

Integration by Parts uv – int(vdu) Integration by parts is a technique used in calculus to simplify the integration of certain types of functions that may be...

John Rhodes
June 21, 2023
Calculus

How To Use Cosine And Sine Equations For Modeling Oscillating Phenomena In Science And Engineering

cos and sin equation cos(x)^2 + sin(x)^2 = 1 A cosine equation is an equation that contains a cosine function (cos) of an angle. Similarly, a sine...

John Rhodes
June 21, 2023
Statistics

Optimizing One Sample Z-Interval For Population Proportion: A Guide For Proper Conditions And Accurate Estimation.

One Sample Z-Interval for Population Proportion CONDITIONS 1. Random sample or assignment2. 10% Condition n ≤ 1/10(N)3. p̂(n) ≥ 10 and (1-p̂)(n) ≥ 10 The conditions required...

John Rhodes
June 21, 2023
Statistics

How To Construct A Confidence Interval For Population Proportion Using One-Sample Z-Interval

One Sample Z-Interval for Population Proportion INTERVAL 1. Random sample or assignment2. 10% Condition n ≤ 1/10(N)3. a) Population distribution is stated as NORMAL b) n ≥...

John Rhodes
June 21, 2023
Statistics

Conditions For Constructing A One Sample T-Interval For Population Mean

One Sample T-Interval for Population Mean CONDITIONS x̄ ± t* (Sx/√n)df = n-1 Before discussing the conditions required for constructing a one sample t-interval for population mean,...

John Rhodes
June 21, 2023
Statistics

How To Construct A One-Sample T-Interval For Population Mean: Steps And Assumptions Explained

One Sample T-Interval for Population Mean INTERVAL 1. Random sample or assignment2. 10% Condition n ≤ 1/10(N)3. Large counts: Po(n) ≥ 10 and (1-Po)(n) ≥ 10 A...