6. The equation of a line is given by the function y= mx + b. Determine the value of the x-intercept (where y= 0) of the line defined by the equation y = 3x+9. Using the equation for a straight line, what is the formula for the x intercept? 7. What effect will a 1.0°C error (all temperature readings are 1.0°C greater than the actual value) in determining absolute 0 K? Justify your answer.

Q: 3. Given the matrices 1 - 2 --8-0 1 1 1 X = V and c = 0 1 2 1 1 2 2 A = 0 1 1 B 1 0 1 premultiply…

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Q: 4. (у- 2ку + 6x) dx - (x?- 2ху + 2) dy -0

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Q: A cylindrical can, open at the top, is to hold 400 cm of liquid. Find the height, h, and the radius,…

A: This question can be solved by differential equation

Q: Find the stable vector of 1 P = O O -Im - -/2 O O -IN NI3

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Q: Please explain the rules applied in each step of the solution

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Q: 1. Solve the following differential equations using any of the methods discussed up to Lecture 6: dy…

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Q: Write an equation in slope-intercept form for the line shown. (12) 12) 4- Pick pi pon -4 A) y = 4x -…

A: Find the equation of the line

Q: 4. Compute 23 -1 23 4 2 0

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Q: МАTН-443 DIFFERENTIAL EQUATIONS Problem Set 5 erent ways! O dx + (x - y) dy = 0 ) dx + y (2x– 3y) dy…

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Q: A state vector X for a three-state Markov chain is such that the system is as likely to be in state…

A: Given that, state vector X for a three-state Markov chain is such that the system is as likely to be…

Q: Show the entire solution please

A: Given that  Probability of success (p)=0.70 Sample size =10  Let X denotes the number of seeds…

Q: Probiem 9: A sphere of radius r inches has volume V =ar' cubic inches. What is the rate of change of…

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Q: Problem 10: A fiu epidemic has infected P= 3012+ 100t people by t days after its outbreak. How Fast…

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Q: Do the following steps: (1) determine the size of the sample space; (2) list the possible outcomes;…

A: Red balls=4 White balls=2 Total number of balls=4+2=6 Y is a random variable representing number of…

Q: Write the row vectors and the column vectors of the matrix. 1 -2 -3 (a) the row vectors (b) the…

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Q: NO 4 Solve and show the complete solution.

A: Applying the technique of center of gravity         Weighted coordinates = Multiply W with X…

Q: (x²+1) 3 dx is equivalent to x5 O 4(1+ +) +C x3

A: Given that: ∫(x3+1)13x5dx

Q: Five warehouses are supplied by four factories. The supply available from each factory, the demand…

A: Given, the transportation problem, in which supply is available from each factory to each warehouse,…

Q: OBLEM: Find the ramp response for a system whose transfer function is S G(s) SWER: c(t): = 1 1 32 -…

A: Using inverse Laplace transform

Q: lem #1: A research firm is interested in determining if the blood cholesterol level of a specific…

A: Population mean μ=120Sample size n=1155Sample mean=138Standard deviation=3.5

Q: 6.( + 6х) + (In x - 2)у' %3D 0 х

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Q: 8. (sin e - 2r cos e) dr +r cos e (2r sin e +1) de =0 9. (w³+wz² – z) dw + (z² +w°z– w) dz = 0 10.…

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Q: 7. [2x + y cos (xy)] dx + x cos (xy) dy = 0

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Q: dy 1.- dx ах — by bx — су

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Q: Find the vector of stable probabilities for the Markov chain whose transition matrix is 0.3 0.7 0.6…

A: For Markov chain, if transition matrix A is given then the vector of stable probability, W can be…

Q: Verify that the two lines are parallel, and find the distance between the lines. (Round your answer…

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Q: 7. T: R³ R² defined by T(x) = Ax, where 1 3 2 265 A =

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Q: dx 21 + C %3D

A: We have to find the value of ?

Q: 10) if lim (f(u) exists, then lim f(u) exists ů) True (i) False Jb) Suppose IP'm f(1) = M-0 then lim…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.