Give 2 examples of Continuity and Discontinuity. Show your complete solution using the three conditions and sketch the graph. 1. Given function: Graph: Solution: 2. Given function: Graph: Solution: Graph: 3. Given function: Graph: Solution: 4. Given function: Graph: Solution:

Q: Given that X is a normal variable whose distribution has a mean of 10 and a standard deviation of 2....

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Q: Find dl lethere L is irde anc

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Q: April can buy a package of 10 folders for $1.20 or a package of 8 folders for $1.12. What is the uni...

A: The number of folders and the total price of the folders can be used to calculate the unit price per...

Q: anx" + ... + ajx + ao_ with a. >0 and bk > 0, show that brak + 5. If f(x) = lim f(x) = +∞ + b1x + bo...

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Q: • TT /2 2 cos x dx 1+ (sin x)² п/2 dx V-x² + 4x – 3 2

A: d) ∫-π2π2  2cosx dx1+ (sinx)2Let sinx = t∫-11 2dt1+t2 = 2  [tan-1t]-11 = 2 [ π4+ π4]= π

Q: What is the volume of the solid obtained by rotating the region bounded by the graphs of y = Va =2-r...

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Q: 1 To find the number of toys a company should manufacture per day to optimally use their injection-m...

A: Given : 0.33330.16670.66670.16670.66670.33331.05-10x1x2x3=75612600  

Q: What equation does the extremal y of the isoperimetric problem J(y) = S (2y² + y)dæ subject to the c...

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Q: Find SL (xy) dl Lis Jquare 1x|+ lyl= 1 where.

A: The integrals in the form ∫Lf(x,y)dl involve the integration over the specific path L. In this case,...

Q: 4. Find the value of o(5) for a solution ø(x) to the initial value problem: y' – 3y" + 4y' – 2y = 0;...

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Q: In Exercises 1–6, find a basis for the solution space of the ho- mogeneous linear system, and find t...

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Q: Let A E Mnxn(R), show that it is possible to express A as the product, A = PQ where P,Q € Mnxn(R), a...

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Q: If a real estate office sells 1.6 houses on an average weekday and sales of houses on weekdays are P...

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Q: Solve dy *- Jxy +1 with yeo) =1 for finding yfo.075) dx take h=0-025

A: The numerical solution of the differential equation is the value of the function that satisfies the ...

Q: dy -1+2, dx xx (a) Solve the homogeneous differential equation (b) Determine whether the following d...

A: (a) The given differential equation is :                                dydx = 1+yx+y2x2     ..........

Q: (1) Vf (f is a scalar function) 2) ř(t) and r(s), t is time and s is arch length.

A: This is a problem of vector calculus.

Q: Find the determinant by row reduction to echelon form. 1 5 -7 - 1 - 4 - 5 1 4 7 ... Use row operatio...

A: To determine the determinant of a matrix using row operation If the rows are interchanged then mult...

Q: Can an (6,4)-graph is connected.

A: (6, 4) graph has 6 vertices and 4 edges. Now, any graph with n vertices will be connected if there i...

Q: Level B Test Name (8 as Factor) 8 8 х 8 10 8 х 8 х 7 х 3 4 8 8. х 8 х 2 х 8 х 8 х 8 8. 8 10 8 х 8 х ...

A: simple mathematics problem,  with 8 multiplication 

Q: -31 2: -6 -2 Find the eigenvalues and eigenvectors ofA = 特後值 -2

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Q: Select ALL possible answers if there is more than one. * Below shows the graphs of the slopes of the...

A: Given the graph of the slope line of the four different function . To find which of the following fu...

Q: Use Newton-Raphson Method to determine the root for the equation: S(z) = - tolerance is 0.00001. 4z ...

A: Follow the steps below to obtain the real root of the equation: f(x)=0 using Newton-Raphson method: ...

Q: Find the coordinates of the centroid of the solid generated when region bounded by x2 + y? – 4y = 0 ...

A: Solution:-

Q: Consider the initial value problem y = sin(xt), y(4) = 1 Use Euler's Method with five steps to appro...

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Q: Bisection root of fal= XeX_! methed to find use the

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Q: 1. -.) Determine the series solution to u' – tu = -t², up to rª.

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Q: 10. Find the dimension of the subspace of P3 consisting of all polynomials ao + ajx + a2x² + azx³ fo...

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Q: A tangent plane to the ellipsoid x². y? a b2 meets the axes in A, B, C. Show that the envelope of th...

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Q: 1. Evaluate the following integrals: g) . dx sin-1 x V1 – x2 h) . cos(sec¬1 x) dx 2/V3 xVx² – 1

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Q: Consider the following system describing the interaction between the Red-billed Orpecker vird popula...

A: Since you have asked multiple questions and due to the time constraint, we will solve the first two ...

Q: Determine whether the following series is convergent or divergent: (4n)2n evnn2n n=1

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Q: 1. Determine whether w - {[:]•r:a-4-0} X1 E R? : : x1 – 23 = X2 is a subspace of R?.

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Q: Please solve the same as the solution question Find the general solution of the d" 10y + 53y" + 36y=...

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Q: 2.Make a sketch of the following polar equation: r = 2 +4 sin 0 (r, 0). Determine also the tangent g...

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Q: 15-20 1 Solve the initial-value problem. 15. х*у' + 2ху 3 In x, у(1) 3 2

A: Since you have posted a multiple question according to guildlines I will solve first question(Q15) f...

Q: Question: Using Principal Component Analysis (PCA) method, find and plot the principal axes for the ...

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Q: A curve is drawn on a sphere of radius "a' and the principal normal at a point P makes an angle 0 wi...

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Q: At which value/s of x does the graph of y =x' - 6x² +9x– 2 have a horizontal tangent line? Write the...

A: given function y=x3-6x2+9x-2 claim- at which value of x does the graph of function have a horizontal...

Q: f(x) If f(4)= 3 and f'(4) = -5, find g'(4) when g(x) =

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Q: Let A,B,C,D be four distinct points on a line, in that order. The circles with diameters AC and BD i...

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Q: Find the fluid force on the vertical side of the tank, where the dimensions are given in feet. Assum...

A: Force on the vertical sides is given by  F=w∫0ahy Ly dywhere a=height of the tankw=weight-density of...

Q: Writing In (x+jy + a/(x+jy-a)]-u+ je, show that (a) x+y-2ax coth u + a = 0

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Q: a) g(x) = In( 1 – 2 x ) %3D b) f(x)= 7/(5+x^2) %3D

A: This is a problem of series. Taylor expansion, power series.

Q: 1.) Represent each compound statements below in logical notations. 2.) Determine the truth value of ...

A: The logical symbol "∧" is used to denote "AND". The logical symbol "~" is used to denote "NOT". The ...

Q: By solving the differential equation: y = (x – 8)y' + (3/)* It is obtained, as part of its singular ...

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Q: Use the 2016 FICA tax rates, shown below, to answer the following question. If a taxpayer is self-em...

A: If the tax payer is self employed and earns $151000 then we need to find the tax as per 2016 FICA no...

Q: Consider the region R bounded by the curve y = ln(x), the x− axis and the line x = 5. Determine the ...

A: We will draw the region bounded by given curves and line . and then will find limits for x and y and...

Q: Find the singular value decompostion of th 1 1 -1 -1 1

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Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i +jand i- 20j as adj...

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Q: So (sinh (-2t)e¯') u(t)

A: We shall find the Laplace transform of∫0tsinh-2te-tutdt that is L∫0tsinh-2te-tutdt First Shifting Th...