2. We showed in class that EL (: - T)(y: – 9) can be written as a linear combination of ys: B1 = Gi Yi. (1) Find c. (2) Show Σe-0, Σεr-1 and Σς (3) Find E(B) and V(3)

Q: c) Find i. y' for x4 + y = 17 If x = 3 and y = 3, calculate y'

A: Here is the solution of above problem.

Q: V3 х, 1 (6) x' = x(0) : V3

A: Given the system of an ordinary differential equation is  x'=133-1x                         (i) With…

Q: c. Find r' (t) and graph r' (t) on the same graph as r(t). Distinguish each by using different…

A: Please see the below picture for detailed solution.

Q: ( - 2 () 4 a) dx³ + yw = 0 dx, b) x(y")³ + (y')ª – y = 0 c) y = xy' + (y')² + 1

A:

Q: Select all of the following equations for which y is a function of x. Ox + 3y = 3 Oa = y' + 3y O2? +…

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Q: (In æ)" Find y'. Let y = e" + 2

A: Explanation of the solution is given below...

Q: Let X: EXP(0). suppose Y= 2x , the Y is i = 1 Select one: a. Gamma (n,-) b. Camma(n. 4) С.…

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Q: B) Find for the Implicit function: dx x2 - sin(xy) + y² = 5xy

A:

Q: əz Find ( (). If (x, y, z)variables, and (2) a function in (x, y), and achieve the equation: 1 x-2 +…

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Q: Let f(x,y) = 8x - 2y + 5. Find the following values of f(x,y) for the given coordinates. (a) f(2,…

A: Given  f(x,y)=8x-2y+5 Find:f(2,-1) Substituting x=2 and y=-1 in the given equation, we get  f(2,…

Q: A. Verify Clairaut's Theorem for the given function: F(U,W) = Sin(UW)- 4U?w2 %3!

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Q: Q.2 Find DivF and curlF at point (1,2) , where f(x, y) = xy² + Inxy

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Q: Find YI if YI =x - 5 and YV= x – 4 Y \I V Z.

A: We will find the solution in the following step

Q: Which of the following pair of functions is linearly independent? (a) e, e(*-3) (b) 4, sin2x+ cos2x…

A: Which of the following pair of functions is linearly independent?

Q: d²y Find and dx then simplify whenever possible. dx2 1) y = 3t5 – 2t x = 4t3 2) y = t-3 – 7 x = t2 –…

A: We have to find first and second derivative for the given parametric function.

Q: b) By using the given substitutions, show that i. Sx(x – 3)5dx =÷(x- 3)“(2x + 1) + C, z = x - 3 14…

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Q: let R = (-2, 7). Calculate the following: The components of u = PŔ, where P = (1, 2)

A: Given,               R=(-2, 7)   and   P= (1, 2).    The components  of u=PR⇀=?

Q: |(0,3) C1:x2 + y? = 9. (-3,0) C2 (3,0) Figure 1 Based on Figure 1 and given that F = y²i + (3xy +…

A: We have to find the work done by the vector force F =y2i+(3xy+4x)j Where c is a smooth circle…

Q: Let a, b and c be real constants. Consider the ODE ay" + by' + cy = 0. hich relationship must be…

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Q: (a) If j² = -1, simplify

A: (a) if j2=-1, then      (i) j6=

Q: Write the following equation in the form w = u(x,y) + iv(x,y) h(z) = (3z + 2i) / (2z2 + 4)

A: