2. Consider the following directional field to a differential equation. (a) On the above picture, sketch a solution to the differential equation with initial condition v(1) = 2 (b) Write down all the equilibrium solutions to the differential equation, and classify each of them to be a stable, unstable, or semi-stable equilibrium.

Q: Differential equation. Please answer number 9. Show clear and complete details of your solution.

A:

Q: 4. Let A be a square matrix. (a) 1² is an eigenvalue of A² with the same eigenvector, v. Show that i...

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Q: x°dy + xydx = x²dy + 2ydx; y = e when x = 2 %3D

A: Given  we have given the differential equation x3dy+xydx=x2dy+2ydx y = e when x = 2 we have to find ...

Q: plete the following tables of values to investigate below or at th un 0.6 07 0.05 0.995 0.9995 0.999...

A:

Q: 1. Find Solution using Newton's Divided Difference Interpolation (x = 301)? f(x) 300 2.4771 304 2.48...

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly rep...

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Q: Ho We By the Same wayprove e that : X J, (x) V+1 xp

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Q: f(x, y) = xy, R = {(x, y): x² + y² < 16}

A: Polar coordinate and rectangular co-ordinate  x=r cosθy=r sinθx2+y2=r2θ=tan-1yx The integral will be...

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A: Given that: y=3x2+23−8

Q: In n

A: Given as, an =Innn3

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A: The initial value of a function is defined as follows:

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Q: Determine whether the series converges; if so, find its sum. Otherwise type N in the blank. 1 k(k + ...

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Q: a) Write The Green's Theorem in the plane relating double integrals and line integrals. (Please, don...

A: Green's theorem relates a line integral around a simply closed plane curve  C  and a double integral...

Q: Given the table below 0.1 0.2 0.3 0.4 0.5 0.6 f(x) 0.425 0.475 0.400 0.452 0.525 0.575 Approximate t...

A:

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Q: 3 3 fx J,cx) dx = (x-4x)J, CX) +2x J,cx)+c (x-4x)J, CX) +2x JoCX) +c

A:

Q: a) f(t) = 4t b) f(t) = e2t c) f(t) = 2 cos 3t %3D

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Q: The Grade 10 Life Orientation teacher has planned a trip for learners of Valley Vista High School to...

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Q: b) Verify Green's Theorem, by evaluating (both integrals in the theorem) F(r) • dr counterclockwise ...

A: We know that , Green's theorem, Let C be positively oriented , piecewise smooth , simple closed curv...

Q: e**Ydx – e2ydy = 0; y = 0 when x = 0

A: ex+ydx=e-2ydydydx=exeye-2ydydx=exe3y∫e-3ydy=∫exdxe-3y-3=ex+cPut x=0,y=0, we get c=-43So, e-3y=-3ex+4

Q: Determine one real root of 2x cos 2x - (x - 2)^2 = 0 on the interval (2,3) using Regula Falsi method...

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Q: What is the analytical value of S (0.75) given (x)--01x-0. 15x-0.5x -0. 25x +1. 27 -1.0678 b. -1.421...

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Q: A metal sheet is situated in the xy plane so that the temperature T = T(x, y), in degrees Celsius, a...

A: Given: A metal sheet is situated in the xy plane so that the temperature T = T(x, y), in degrees Cel...

Q: Solve the 1st order differential equation y3+x-1 y = x dx

A: Given differential equation is y3dydx+x-1y4=x. Note that the differential equation is of the form yn...

Q: Q5) Describe the Null A by listing the vectors that span the Null space. 135 0 A= 014 -2

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Q: 01 2. 2 -1 1- Given peintsBindthe nd olegree palyna that wihfil the Curve 31 01 x5

A: given data  x 0 1 2 3 y 2 -1 0 -1 find the second degree polynomial that will fit the curve ...

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Q: Find the Laplace Transform of the following functions f(t) =t sinh( at) f (t) = 2te'

A: To find- Find the Laplace Transform of the following functions ft = tsinhat ft = 2tet

Q: 19. The Dulac Box plant works two eight hour shifts each day. In the past, 500 cypress packing boxes...

A: Solution :-

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A:

Q: 7. Prove that the SolutmM of y + y = o is B sinx (hint y= Xu) by using Bessel's Functron definstian ...

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Q: convert to polar form: a.) √2 (160)sin (wt+30°) b.) 20sin(377t-90°)

A:

Q: 1. Find the linear regression 0.7 0.96 1.13 1.57 1.92 0.19 0.21 0.23 0.25 0.31

A: We are given the following data for which we need to do linear regression. X Y 0.7 0.19 0.96 ...

Q: O f(x)=x2, when f: Z Z O f(x)=x?, when f: Z-z O f(x)-x2, when f: Z Z O f(x)=x2, when f: Z Z

A:

Q: Calculade the Pomer Seriee af na o y'=

A: The given differential equation is 2-xy''+xy'+y=0. Let y=∑n=0∞anxn. Then, y'=∑n=1∞nanxn-1 y''=∑n=2∞n...

Q: Prove that there is no permutation a such that a'(12) a = (34) (15). %3D

A:

Q: Obtain the inverse Laplace transform: s-4s +12s+24 (s-2) (s²+16) O t'e + cos 4t e 2 (cos 2t – 2t) O ...

A:

Q: Consider the following signal, for a time period of 2 π. u (t) = sin (t) for t ∈ [0; π] ; u (t) = 0 ...

A: We will use the basic knowledge from Fourier analysis to solve this question. Note that in your ques...

Q: How many days are there are there in 157 weeks

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Q: 1+ i -7+ 8i 4i 3+ 0i If A = and B find AB. 3+ 3i 2 – i 2+ 0i -14i ? АВ — ?

A: We have to multiply the given two matrices.

Q: F+9 V2x-(4+F) 4. Let f(x) h(x) = Vx + (k +3 + F) and g(x) . Answer VBx -(F+5) 8+K the followings: a....

A: The main objective is to solve all sub parts for F=0 and K =2.

Q: The scalar product of two vectors is defined as the product of their magnitudes times the of the ang...

A: In geometry and physics and its engineering applications, we use two kinds of quantities, scalars, a...

Q: P44 If the 3rd term of a geometric progression is 36 and the 6th term is 288, then find the 13th ter...

A: We will use basic knowledge of GP and arithmetic to answer this question.

Q: The number of solutions (x,y,z) belong to Z*Z*Z for the equation  X2 + Y2 + Z2 = 2100 + 15 is: a) i...

A:

Q: (c) Let p, q and r be three propositions for which p and q are true, and r is false. Determine the t...

A: QC (iii) asked and answered.