5) Determine whether the plane 3x – 4y + 5z = 0 and the plane – 6x + 8y – 10z 4 = 0 are in orthogonal, parallel or neither.

Q: xy" – (y)³ – y' = 0. Exercises In each exercise, obtain the differential equation of the family of…

A: We use definition

Q: (a) at least half the patients are under 15 years old? First, explain how this can be modeled as a…

A: As per our guidelines, we are allowed to answer three sub-parts.   Number of visits this morning = 8…

Q: Assist

A: We will provide counter example.

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Q: 17. Let f be the function defined by f(x) x- 2

A: Given : f(x)=|x-2| Graph the given f(x) by making a table Assume some x values and find out f(x)…

Q: -What are all values of x for which the series

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Q: 22. Through (8,5); perpendicular to 2x – y =7 23. Through (-2,7); perpendicular to x = 9

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Q: Just need help with number 31

A: 31. Given :

Q: 3 s2+2s-15 2s+5 s2+2s-13 | 3 s2+2s-15 53+6s+9 (s-1)(s-2)(s+4) 52+2s-3

A: We have to find the inverse Laplace transformation .

Q: Find the general solution for the following differential equation using the method of dy 36y =…

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Q: J *- 2y = 4 33. 2x - 4y = 5

A: 33. Given System   x-2y =4                                 2x-4y =5Here we solve each system by…

Q: For each of the following families of distributions, explain whether it is an exponential family:…

A:

Q: 17 The solid bounded by the surface y =x² and the planes y+z=4 and z = 0.

A: To find the volume of the solid

Q: 4. If D (a, b) = 0 then the point (a, b) could be any of a minimum, maximum, or saddle point (the…

A: Given: We have a function  of two variables, and with continuous second-order partial derivatives…

Q: (B) Let f be a function of x and y with fx (xo, Yo)= 0 and fy(xo, Yo) = 0 for some (xo, Yo) € dom f.…

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Q: Max val fa =3°-x X=,5

A: The given function is fx=3x2-x3 We have to find the absolute maximum value (ab max val) on the…

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Q: I need help with 21

A: The given series is ∑n=1∞x-3nn25n. Let an=x-3nn25n, then an+1=x-3n+1n+125n+1. Apply ratio test,…

Q: 23. For 0 s IS 13. an object travels along an elliptical path given by the parametric equations x =…

A: To find the slope of the tangent we need dydx dydx=dydtdxdt=ddt(4sint)ddt(3cost)=4cost-3sint=-43tant

Q: (B) Let f be a function of x and y with fx (xo, Yo) = 0 and f(xoyo) = 0 for some (xo, Yo) € dom f.…

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Q: SnB tan B= SB %3D 15 17 一号-音 - 1s 17 120 289 17 17

A: You did calculations mistakes in number 4 Note  (a/b)/(c/d)=(axd)/(bxc)   In our case…

Q: (B) Let f be a function of x and y with fx (x, yo) = 0 and fy (x,yo) = 0 for some (xo. Yo) € dom f.…

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Q: - 6 – (3x – 12) (10x + 50)

A: Given,           6-233x-12≤2510x+50

Q: 15. If mZABD = (6x + 26)" and MLACD = (13x – 9)' , find mAD.

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.