Qalaxia Knowlege Bot
0

I found an answer from i.stanford.edu

comprehensive examinations in computer science 1872 - 1878 stan ...


By publishing these examinations we aim to help future students prepare for future exams, ... (given by Stanford University's Computer Science Department): CS 11 1 ..... contains a 1 if any other processor is accessing the data base, and a 0 if not. ... (Here a, b are constants; x, y, z are variables; P, q, r are predicates; and f, g ...


For more information, see comprehensive examinations in computer science 1872 - 1878 stan ...

Tarun
2

g(x) is the inverse of f(x)

y=f(x); g(y)=x; f(x)=√(x^{2} + 6x); x>=0

f'(x) = (1/2).(2.x + 6)/√(x^{2} + 6x)

b=4 => y=4

√(x^{2} + 6x) = 4

x^{2}+6x-16 = 0

x = (-6 ± √(36+4(16)))/2 => x = 2

=> g(4) = 2; (x,y)=(2,4)

d(g(y))/dx = d(x)/dx => g'(y).y'=1 => g'(f(x)) = 1/f'(x)

=> g'(4) = 1/f'(2) = 1/(5/4) = 4/5

Mahesh Godavarti
0
Very elegantly done.
Qalaxia Knowlege Bot
0

I found an answer from www.nasa.gov

Space Math X


Aug 15, 2013 ... math activities in a space context in support of the national math and science ..... Answer: Mass = Density x Volume so M = 0.3 grams/m3 x 1.4 x 1010 m3 = 4.2 x109 ...... of the ball at the top of its bounce is given my E = m g h, where g = ...... 11) Largest factor (a or b) of x2+5x+6 : (x+a)(x+b) a=+3, b=+2 so ...


For more information, see Space Math X

Qalaxia QA Bot
0

I found an answer from www.reddit.com

Simple Questions : math


Sep 8, 2017 ... This recurring thread will be for questions that might not warrant their own thread. ... What's a good starter book for Numerical Analysis? ... it's calculated as arctan(b /a), but as far as i understand it can also have ..... of x, we can find a continuous function such that its support is in that open ...... 2x2 - 6x - 2 = 0.


For more information, see Simple Questions : math

Qalaxia QA Bot
0

I found an answer from chat.stackexchange.com

Normal Chatroom - 2015-12-02 (page 2 of 2)


Dec 2, 2015 ... Does there exist a non constant continuous function $f:[0,1] \to \mathbb R$ such that ... Q: limits of inverse trigonometric functions without L'hospital's rule ... If n is the order of $G \cap H$ , then what is n ? n=1 n=2 $3\leq n\leq 5$ $n\geq 6$ I am ..... In my Algebra textbook I found a sentence that confused me.


For more information, see Normal Chatroom - 2015-12-02 (page 2 of 2)

Qalaxia QA Bot
0

I found an answer from www.reddit.com

Simple Questions : math


Dec 9, 2016 ... This recurring thread will be for questions that might not warrant ... Lastly, take the square root. ..... I'm reviewing my linear algebra done right textbook and had a question ...... If we have any group homomorphism f: G -> H, then of course we ... The inverse of (a, b) is also done componentwise: it's (a-1 , b-1).


For more information, see Simple Questions : math

Qalaxia Knowlege Bot
0

I found an answer from web.stanford.edu

Random variables, vectors, and processes


Given a probability space (Ω,F , P), a (real-valued) random variable. X is a function X : Ω → ΩX ⊂ R with the property that if FB(ΩX), then X−1(F) ∈ F. Notes:.


For more information, see Random variables, vectors, and processes

Qalaxia Knowlege Bot
0

I found an answer from stanford.edu

Mathematics for Public Policy


Sep 23, 2010 ... I compiled these notes only to organize my lectures in teaching math- ... Most of Section 3, almost all of Section 4, and Sections 6.1-6.8 .... A is called the domain ... Exercise 1: Consider the functions f : A → B and g : B → C. The set ... For any two sets, A and B, define their union by A ∪ B = {x : x ∈ A or xB}.


For more information, see Mathematics for Public Policy

Qalaxia Knowlege Bot
0

I found an answer from web.stanford.edu

z-transform


the integral form of the inverse Laplace transform can be a powerful tool in the ... much of each complex exponential signal est is contained in x(t), we have ... to functions and their associated region of convergence, such that X (z) is the ... Page 4 .... + b. ∞. ∑ n=0 x2[n]z−n. = aX1(z) + bX2(z). Example. Now, to determine the ...


For more information, see z-transform

Qalaxia QA Bot
0

I found an answer from math.stackexchange.com

Evaluating the integral $\int_0^\infty \frac{\sin x} x \ dx = \frac \pi 2


Let $$D_n=\frac\pi2-I_n=\int_0^{\pi/2}f(x)\sin(2n+1)x\ dx$$ where $$f(x)=\frac1{\ sin x}-\frac1x.$$ We need the fact that if we define $f(0)=0$ then $f$ has a ...


For more information, see Evaluating the integral $\int_0^\infty \frac{\sin x} x \ dx = \frac \pi 2

Qalaxia QA Bot
0

I found an answer from chat.stackexchange.com

Normal Chatroom - 2015-12-14 (page 1 of 2)


Dec 14, 2015 ... 0. Q: Step-by-step integration of e^-xy*sin(x). jdash Integrate \int ... Neither my textbook nor my class notes have been particularly ... If i'm given 3 distinct points ( a, b, and c) how would i describe the set of ..... So since f/g = (x-7) which is just a line the domain should just be ...... Q: Find inverse function of N*N.


For more information, see Normal Chatroom - 2015-12-14 (page 1 of 2)

Qalaxia Knowlege Bot
0

I found an answer from sepwww.stanford.edu

Fundamentals of Geophysical Data Processing


Oct 14, 1970 ... 11 Seismic Data Processing with the Wave Equation ... So this is not only a book on geophysical analysis but also a book for .... or observe b(t) at a uniform spacing of points in time. For this ... determines a "source" time series, x, = (I, -4, 0 , a). ...... The question of whether A(Z) + G(Z) is minimum phase is now ...


For more information, see Fundamentals of Geophysical Data Processing

Qalaxia Knowlege Bot
0

I found an answer from www.nasa.gov

Algebra 2 With Space Science Applications


Jan 5, 1994 ... ... Odenwald (Sten.F.Odenwald@nasa.gov) for comments and suggestions. ... Identity and Inverse ..... This book is not a replacement for standard Algebra 2 textbooks. It does .... B) Liters, and 2.8 Firkins x (34.07 Liters/ 1 Firkin) = 95.0 Liters ..... near a magnet, the force you feel will be different than for gravity.


For more information, see Algebra 2 With Space Science Applications

Qalaxia Knowlege Bot
0

I found an answer from theory.stanford.edu

Constructing Abelian Varieties for Pairing-Based Cryptography


My research on pairing-friendly elliptic curves began during a summer .... the extension field required by the pairing; the dimension g of the abelian variety; and a ... sional abelian variety over a finite field that has a b-bit prime-order subgroup .... If C is a genus 1 curve given by a Weierstrass equation of the form y2 = f(x) with.


For more information, see Constructing Abelian Varieties for Pairing-Based Cryptography

Qalaxia Knowlege Bot
0

I found an answer from theory.stanford.edu

Lecture Notes on Cryptography


2.3.4 The Squaring Trapdoor Function Candidate by Rabin . ...... B.9.11 Expected Running Time On Nearly All Primes . .... D.4.2 Another simple RSA question . .... predicting m given c is no better than her a priori probability of predicting m .... Computing f(p;g;x) can be done in polynomial time using repeated squaring.


For more information, see Lecture Notes on Cryptography

Qalaxia Knowlege Bot
0

I found an answer from www.slac.stanford.edu

SLAC-PUB-4463 IASSNS-HEP-87/61 November 1987 (T) JOSEPH ...


_ teichmuller theory relevant to the choice of slice and appendix B contains .... different points in the x plane (for z # z'), we do not include both these points in the ... value of the integral does not depend on which fundamental domain in y ... structure, and the map z is holomorphic, so if f is a holomorphic slice then g = z o f :.


For more information, see SLAC-PUB-4463 IASSNS-HEP-87/61 November 1987 (T) JOSEPH ...

Sangeetha Pulapaka
0

f(x) = √(x^{2}+ 6x)

Replace f(x) with y.

y = √(x^{2} + 6x)

Swap positions of x and y.

x = √(y^{2}+ 6y)

Square both sides.

x^{2} = y^{2}+6y

Add 9 to both sides.

x^{2}+9 = y^{2}+6y+9

Factorize right side.

x^{2}+9 = (y +3)^{2}

Take square root of both sides.

√(x^{2}+ 9) = y + 3

Subtract 3 from both sides.


y = -3 + √(x^{2}+ 9)

Replace y with g(x).

g(x) = -3 + √(x^{2} + 9)

Plug in value: x = 4

Simplify.

g(4) = -3 + √(25)

Simplify.

g(4) = -3 + 5

Simplify.

g(4) = 2

-----

Use properties of roots: √(a+b) = (a+b)^{1/2}

g(x) = -3 + (x^{2} + 9)^{1/2}

Take derivative of both sides.

[d/dx] [g(x)] = [d/dx] [-3 + (x^{2} + 9)^{1/2}]

Distribute [d/dx] into bracket (right side).


[d/dx] [g(x)] = [d/dx] [3] + (1/2) (x^{2}+ 9)^{-1/2} [d/dx] [x^{2} + 9]

Evaluate remaining derivatives.

g'(x) = 0 + (1/2) (x^{2} + 9)^{-1/2} (2x)

Simplify.

g'(x) = (x) (x^{2} + 9)^{-1/2}

Use properties of fractional exponents: (a+b)^{-1/2} = [1 / √(a+b)]

Plug in value: b = 4.

g'(4) = (4) / [√(4^{2} + 9)]

Simplify.

g'(4) = (4) / [√(25)]

Simplify.

g'(4) = 4/5

Qalaxia QA Bot
0

I found an answer from math.stackexchange.com

Newest Questions - Mathematics Stack Exchange


In the Kalman filter, these equations represent the error on the state x(k) a priori and .... E.g.: type of equation (linear, non-linear, polynomial?) number of . ... My plan is to calculate the following integral instead, $$ \int_0^{\infty} dx\; x^{-2g} ..... where the solutions have derived the mass and velocity of A and B in this question.


For more information, see Newest Questions - Mathematics Stack Exchange