Find an equation of the form y = ab + csin(z) that fits the data below 1 2 3 y 6 27 96 381 To fit the data: a = C=

Q: (a) D = (x + z)a, (b) E = (y² – x³)a, + xyza, + (x² – z?)a.

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Q: Trapezoid JKLM is shown below. y 4 К (2, 3) L (4, 3) 1 (1 1) M(5 1) 3. 2.

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Q: А- If v = t". et. Find the value of n, which satisfies the equation ar (r2 = r2 dv at

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Q: Find the value(s) of z which satisfies the equation |z| 2 + 1 + 6i = 6z

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Q: b. Find y", given y = e¯" In x.

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Q: If RS = y, QT = -6y + 30, and UV = y + 4, what is the value of y? T V R. y = Submit

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Q: P(e) = (c,). what is the value of csc () + sec 0? 3 27c + 9c + 3c+1 9c (c+3)3 9c (3c+ 1)3 9c c + 3c?…

A: We are asked evaluate the following.

Q: Vx e Z, 3y e R, y² = x

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Q: Use the equations to find əz/əx and əz/ây. e? = 8xyz %3D az %3D ax az ду II

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Q: 5. Show that T = + y? satisfies the equation T + Tyy = T³

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Q: Find the value of c such that E enc = 8. %3D n = 0 C = 8.

A: We have to find the value of c.

Q: The auxiliary equation of the Cauchy - Euler equation is defined by: ar? + (b+c)r+c O ar? + br +c •…

A: Option C will be the right answer.

Q: Use the substitutions : = ye S =X Q.3 to solve the du + y Əx PDE : %3D х, и(1, у) — сos y.

A: Using the substitutions we will solve for the PDE given as follows: ∂u∂x+y∂u∂y=x ∂u∂x+y∂u∂y=x…

Q: Q1/ If z = e*?y, x = Vuv, 1 y = Find: əz а- ди az b- dv

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Q: Consider the following IVP: y"+a?y = 0; y(0) = 1, y'(0) = 0 Find the general solution.

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Q: 23. y²dx + (xy – 1)dy = 0

A: Let's find.

Q: What is the specific value of x and y in the diophantine equation 17x + 23y = 157?

A: In this question we have to find value of x and y in Diophantine equation,

Q: Find /| v'e*** - y? when D={(x,y)E R? | x>0,y>0,x² + y?<1}

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Q: Find the value of zo so that dz = -2ri Izl=13 (z – z0) (z – 14i)

A: Given integral is ∫|z|=13z(z-z0)(z-14i)dz = -2πi   ---(1)

Q: define: Y ~ N„(µ, 0²I) and µ= (µ1, H2;. .. H)'.

A: Given: Y~Nnμ,σ2Iwhere μ=μ1,μ2,...,μn'

Q: 3x'y"+2xy' = 0 %3D

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Q: 2 HA=A-tj + (t – 1)k, B = 271 + 6Ak, find (a) (A - B) dr %3D

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Q: Find the values of m such that y = e is a solution of the following equations y"+4y'+13y = 0

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Q: a) m(t) = = 2-et b) m(t) = e2(et-1) c) Using results in (a) and (b), Find the E(Y) and V (Y)?

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Q: (ii) Assume that d = in E-coordinates and 7 in B-coordinates. y' Find a' and y' expressed in x and…

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Q: Which of the following equations determines E(XY)? »(x, x y (х, у) ,(x,

A: we have to determine the correct option of E(XY)

Q: 3. Find CH(t) when H(t) = (et-3)(e?-) %3D

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Q: b) Show that if y(t) is a solution of the problem y" +e*y + y = 0, y(0) = 1, y'(0) = 2, %3D then…

A: Given y''+e-ty'+y=0, y0=0, y'0=2

Q: : Solve by using Separation of variables method? E= k a²u for 0 0 u(0,t) = u(L,t) = 0 for t > 0,…

A: According to the given information, it is required to use separation of variable to solve the given…

Q: L FA 9 8 Given that T = 2л, express L in terms of , T and g.

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Q: b. SSR ехту dA_ where R = {(x,y) | − x ≤ y ≤X, 0±× 6 2}

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Q: 3. Solve the following equation given yo = 5: ýt + 5yt – 15 = 0. That is, y-dot +5 y –15 = 0.

A: The given differential equation is yt·+5y=15 The given differential equation is of the type…

Q: 1 What is h(z) dz? 2ri C4

A: In this question, we evaluate the complex integral by using Cauchy integral formmula.

Q: The value of a. 11.807 2.2 xe* dx by using the three-segment trapezoidal rule is most nearly 0.2 b.…

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Q: fx = e" tan v, y = e" sec v, then the value of X +y X +y is

A: In this question, the concept of the derivative is used to calculate partial derivatives. Derivative…

Q: Find two values of n such that y = enI is a solution of y" + y' – 72y = 0

A: Given differential equation,  y'' + y' -72y = 0 To find the solution of above equation in form of…

Q: Solve the following equation uxx + Uyy = 3x - 5y with the conditions for the square plate u(0,y)=0…

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Q: D Frnef far s ? syf 2=7

A: You must have idea how to solve the equation. The explanation part is given below.

Q: Determine C, and C, so that y(x) = C¸ e²* + C2e* + 2sinx will satisfy the conditions y(0) = and…

A: Put x=0 in y(x).

Q: Evaluate by any applicable method. Si VVæ – 1 dæ 15 32 8 15 32 15 None of the choices. Please refer…

A: Topic = Integration

Q: Σχ Ey Σχ Ey? Exy N 21 25 143 161 133 4 What is the correction coefficient (r)?

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Q: Which of the following equations are true? Select three that apply. O zi - (v2) %3D (z:)'= V

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Q: 3x?y" + 2xy' = 05 21"

A: Differential equation

Q: Find the soIltion to the following equations: %3D iv)6=多はら

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Q: A B Y(m) 2784.57 3923.41 x< Azimuth (CA) = 2469.8379 Length (CB) = 932.030 m X(m) 3500.64 3418.25 /B…

A: For the triangle ABC coordinates are        Y(m)             X(m)A    2784.57     3500.64B…

Q: 3. Find a second solution to y" – 25y = 0, given one solution y1(x) = e5z. %3D %3D

A: Given differential equation is y''-25y=0 &amp; y1x=e5x be one solution of the differential equation.…

Q: of the following models: y = a (1 + r)', y = a (1 – r)', A Pert

A: If the interest is compounded continuously then A=Pert substitute the values…

Q: If xy2 3x2y + C, then what is the value of C at (2,2)? %3D

A: Given query is to find the value of c.