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Q: dy Solve dx =(y- 1)(y+ 1) if the solution through the point (2, y) = (2,0). Graph the solution. pass...

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Q: Write the level surface 5=5x+y^2+z√5 as the graph of a function f(x,y) f(x,y)=

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Q: Subject: Linear Algebra

A: We have to find a formula for T( x1 , x2 ) and further calculate T( 6, -7 ).

Q: Hi

A: Hi

Q: Find the values of constants a,b,c such that the maximum value of the directional derivative of f (x...

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Q: Q: Given a set of (10) transistors, (2) of them are defective. Choose a sample of (4) transistors, t...

A: Probability of an event is defined as total favorable outcome divided by total possible outcome. We ...

Q: 3. Let S = {(y, z) | 2y - 4z > 16, 6y + 4z > 24, y > 0, z > 0}a. Sketch the set S b. Des...

A: 3  a. sketch the set S   

Q: Solve the following differential equations: (1) (y+x*)dy- xdx = 0 2.xy-y? dx 2+y +x dy %3D (2)

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Q: x(0.2)* – 20.6 = 10 cos (÷) sin (=) + sin ) cos () cot ) cot)

A: Note: Here we are solving Problem 1 for reaming problem please submit it again. Given: x(0.2)6-20.6=...

Q: 1. (2, 4, 6, 8, 10) = 2) {2, 3, 5, 7, 113} = 3) {January, June, July} = %3D

A: # we are entitled to solve only first three subparts, please resubmit the other parts if you wish to...

Q: If - 2x +1 ,when X#! and fcx)= 3 when x= 1 show that The function fex) Continuous at X - 1

A: The detailed solution is as follows below:

Q: Suppose a, b, and c are integers and suppose a |b and ałc, where a{c denotes that c is not divisible...

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Q: Consider the growth of a population p(t). It starts out with p(0) = A. Suppose the growth is uncheck...

A: Pt is the function for growth population. At t=0 , p(0)=A  And also , p'=kp  Also after reaching a s...

Q: Determine the image of the circular sector (2 < |z| < 3 ," < 0 <÷ ) in the z plane, on 3 the w-plane...

A: The given circular sector is, 2&lt;z&lt;3,   π6&lt;θ&lt;π2 In polar coordinates, z=reiθ The given tr...

Q: Q1: For the position vector r = et cos(t) i+ et sin(t) j+ e¯tk, find the velocity and acceleration m...

A: Note : There are many questions in the above image. So I will answer the first question and         ...

Q: Solve the initial value problem.

A: The given initial value problem is                   8y''-10y'+3y=0 ⋯⋯⋯⋯⋯ (1) with condition        ...

Q: Give solution

A: To solve the given initial value problems

Q: In a group of 5-85 students, 35 people play basketball, 42 people play football and 26 people play t...

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Q: Q2. In the vector space V = R³, if we take a set: S = {(4,5, 6), (k, 5, 1), (4, 3, 2)} Find the valu...

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Q: Let X = {1,2,3,4} and Y = {5,6,7}. State whether a function f : X → Y can beone-to-one or not withou...

A: By using definition of one-time and onto function we solve the given problem :

Q: The matrix [1 5 -1 -1 has a determinant equal to -5. If the following elementary row operation (R2 +...

A: Note: As per bartleby instruction when more then one question is given only one has to be answered. ...

Q: Prove that for all sets A, B, and C, (AПB) - С%3D (4 —С)ПВ.

A: Consider the given statement, "Prove that for all sets A, B, and C, A∩B-C=A-C∩B. Consider the LHS of...

Q: Q#5. Locate all relative extrema and saddle points of 4 4 f(x, y) = 4xy - x' - y' as shown in figure...

A: We have to solve given problem:

Q: If T is a normal operator over C then it has a spectral decomposition T = A1T1 + imaginary (i.e. X =...

A: If T is a normal operator over ℂ then it has a spectral decomposition T=λ1T1+λ2T2+...+λkTk. Now, we ...

Q: Express the vector v =-1 as a linear combination of the vectors -3 0,v2 4 and v3 -4 , if possible. S...

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Q: Q#4. Use Lagrange multipliers to find the absolute maximum and absolute minimum values of f subject ...

A: The maximum and minimum of given function subject to given constraint by using Lagrange multipliers ...

Q: Explain why it is not possible to draw a planar graph that contains three faces  and the same number...

A: For any planar graph to exist it should satisfy the Euler formula which is given by - v + f = e + 2 ...

Q: prove that if a&gt;4 then (a-2)^2&gt;4

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Q: Let u and v be vectors in Rn such that uTv = 0. Find the eigenvalues and describe the bases for the ...

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Q: Give the parametric vector form of the general solution of the following system of equations: -1 -4x...

A: x1-5x2-2x3      -4x5-4x6  =-1                   -x4+4x5-3x6  =     8x1-5x2               -6x5 -6x5= ...

Q: Pic 1:Q1 Pic:Q2

A: We'll answer the first question since the exact one was specified.  Please submit a new question spe...

Q: x' dx x² + 2x + 1

A: Given: ∫01x3 dxx2+2x+1

Q: Theproximate value of McLaurin series (1 +x)³ = 1+ 3x + 6x2 at (x=2) is 2! %3D equal to ......

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Q: 1-cos (t) B: Solve the D.E ý + 2ý + y = with zero initial conditions

A: Given y''+2y'+y=1-costt2with zero initial condition, i.e. y0=y'0=0

Q: Given: z = -7 + 6i Calculate the following: 1) In z, for n = 2,4 & 6 2) z-5 3) z4; graph the roots. ...

A: Given: z=-7+6i

Q: Give the negation of the statement below and determine whether the statement or its negation is true...

A: Given: ∃x∈R,∀y∈R,y2≥x

Q: Determine L-1) 9s – 8 (? – 2sJ*

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Q: X 1 3 4 y 705 993 1241 1565 2035 2782 Use linear regression to find the equation for the linear func...

A: By least square method we find the linear function that best fits the given data :

Q: Q5\ If z = x + jy, where x and y are real, find the values of x and y when 3z 3z + 4 %D 1- j 3- j

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Q: I need prove linear independence of eigrnvectors. I posted this before and just showed me with 2 vec...

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Q: Problem:- 1)Use Newton-Raphson algorithm to find the approximate root of the following equation f(x)...

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Q: 27. Show that कक्या 1 Vn E Z*. T1\2i+1 2i+2. i=0 (2n + 2)!'

A: Consider the given expression. ∏i=0n12i+1·12i+1=12n+2! Consider the left side of the equation. ∏i=0n...

Q: A) consider that, we have the following equation f(x) = x² – 2 = 0, 1- Compute the approximate roots...

A: The given equation is                    f(x)=x2-2=0,     x∈1, 2 1. To compute the approximate roots...

Q: If the resistance of a certain wire is 4.068 ohms per 1000, what is the length of a piece of this wi...

A: As resistance is directly proportional to length,  so, R=kL put R= 4.068 and L=1000

Q: H.W.2:For the semicircle line charge of (Pi C/m) and radius (R m ) on (Xy- plane) and its center is ...

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Q: The following integral p cos z dz around the circle z + i 2 yields: 4z-i none of these i1.62 O 5+i2n...

A: Use Cauchy Integral Formula and Cauchy Gourast Theorem 

Q: the vector field F is shown in the xy plane. y 21 2 Is div F positive, negative, or zero? Positive N...

A: Given : The vector field F is shown in the xy plane :   We have to determine that : Is div F positiv...

Q: Can someone help me with the last question, Find an equation of the tangent line to f at a = -1. Tha...

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Q: Show all the steps please. I will rate soon

A: We use the fact that f is discontinuus at x

Q: d'y & dx Find d'x to the : dy *yーy=7 %3D7

A: We have the expression x2y2-y=7. Differentiating both sides of this equation with respect to x, we h...