Use the definition of the partial current to prove the linear extrapolation distance for a vacuum...

Use the definition of the partial current to prove the linear extrapolation distance for a vacuum boundary condition (the distance where the flux function goes to zero) is d = 2/3λ , where λ is the mean free math defined as λ = 1/Σtr = 3D (D is the diffusion coefficient)

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genius_generous answered 2 years ago

Prove that the minimum distance of a linear code is the minimum weight of any nonzero...

Prove that the minimum distance of a linear code is the minimum weight of any nonzero codeword.

1A) Let ?(?) = 3? + 2. Use the ? − ? definition to prove that...

1A) Let ?(?) = 3? + 2. Use the ? − ? definition to prove that lim?→1 3? + 2 ≠ 1. Definition and proof. 1B) Let ?(?) = 2?^2 − 4? + 5. Use the ? − ? definition to prove that lim?→−1 2?^2 − 4? + 5 ≠ 8. definition and ? − ? Proof.

Use the definition of absolute value and a proof by cases to prove that for all...

Use the definition of absolute value and a proof by cases to prove that for all real numbers x, | − x + 2| = |x − 2|. (Note: Forget any previous intuitions you may have about absolute value; only use the rigorous definition of absolute value to prove this statement.)

1.) use partial fractions to decompose each into a fraction with a linear factor in the...

1.) use partial fractions to decompose each into a fraction with a linear factor in the denominator: a.) 2/(x+1)(x+2) b.) 2/(y)(100-y) c.) y/(y)(100-y) d.) 5/x(x+1)(x-2) e.) 2x+3/x(x+1)(x-2) f.) x^2/x(x+1)(x-2) 2. Consider the ODE model for population growth: a. Use separation of variables to determine the solution. b. What is the value of y(1)? c. What is the value of y(10)? d. At what time will the population reach 100? At what time will it reach 1000? 3. Consider the logistic...

Extrapolation with linear models beyond the given data is highly accurate. TRUE or FALSE? a. True...

Extrapolation with linear models beyond the given data is highly accurate. TRUE or FALSE? a. True b. False Linear regression models may not always acccurately reflect the pattern of data from which they are made a. True b. False The "Portion of Variability" is also known as the a. Correlation coefficient b. Regression line c. Fitted Value d. Coefficient of determination Investigating the difference between the predicted value of y and the actual value y a. Least Squares Regression b....

1. Use the definition of convexity to prove that the function f(x) = x2 - 4x...

1. Use the definition of convexity to prove that the function f(x) = x2 - 4x + 8 is convex. Is this function strictly convex? 2. Use the definition of convexity to prove that the function f(x)= ax + b is both convex and concave for any a•b ≠ 0.

1. Use the ε-δ definition of continuity to prove that (a) f(x) = x 2 is...

1. Use the ε-δ definition of continuity to prove that (a) f(x) = x 2 is continuous at every x0. (b) f(x) = 1/x is continuous at every x0 not equal to 0. 3. Let f(x) = ( x, x ∈ Q 0, x /∈ Q (a) Prove that f is discontinuous at every x0 not equal to 0. (b) Is f continuous at x0 = 0 ? Give an answer and then prove it. 4. Let f and g...

Prove the following problems. 1 .Use the definition of big O to explain why or why...

Prove the following problems. 1 .Use the definition of big O to explain why or why not 3/(x2 + 3x) = O(3). Prove your answer. 2 .Use the definition of Θ to explain why or why not sqrt(2 + sqrt(3x)) = Θ(x1/4). Prove your answer. 3 .Explain why 5x2 = Θ(2x2) is true and 5x2 ~ 2x2 is not true.

a) use the sequential definition of continuity to prove that f(x)=|x| is continuous. b) theorem 17.3...

a) use the sequential definition of continuity to prove that f(x)=|x| is continuous. b) theorem 17.3 states that if f is continuous at x0, then |f| is continuous at x0. is the converse true? if so, prove it. if not find a counterexample. hint: use counterexample

To suck water through a straw, you create a partial vacuum in your lungs. Water rises...

To suck water through a straw, you create a partial vacuum in your lungs. Water rises through the straw until the pressure in the straw at the water level equals atmospheric pressure. This corresponds to drinking water through a straw about ten meters long at maximum. By taping several straws together, a friend and I drank through a 3.07m straw. I think we may have had some leaking preventing us going higher. Also, we were about to empty the red...

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