Question 13 The value of the line integral using Green's Theorem of 93xydx +5e2xdy on the rectangle with vertices (0,0), (2,0), (2,3) and (0,3) will be given by O A None of the choices in this list. O B. 15e4 33. OC.15e4 +33. O D. -15e+ 33.

Q: 15. z+i · (z − 1 − i)³(z − i) JR-1 dz

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Q: (x- 2y) dA on the parallelogram P bounded by y = 5 – 2x, y = 7- 2x, y = 3x – 6, and y = 3x + 2. Use…

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Q: Approximate V(2.03)² + (0.8)² + (2.1)² using a linear approximation.

A: To approximate: 2.032+0.82+2.12 Consider a function, fx,y,z=x2+y2+z2 The linear approximation of a…

Q: Consider T(r1,12, Ia) = (371 – 212 + 4ra, I1 + 273, 12). Find T!. %3D

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Q: -3 -3 1 2. Let C = 6. and B = -6 -6 -3 4 7 A. Find PC→B. -5 B. Let u = 8 Find [u]c. -5 C. Use part…

A: As this problem is related to change of basis of a matrix, hope you know how to find inverse of a…

Q: -4 6. |a + 3|dx – 1)³ydy -1

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Q: equations y = 4 - x - x² and y = 2. Let A and B be the points at which the curve and the line…

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Q: XI. 6 F dF where F = (x³ – y, x + e') and C is triangle with vertices (0,0), (3,0), (4,2).

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Q: find x, y € Z such that 2261x + 1275y = gcd(2261,1275).

A: we want to find the greatest common factor  we will use Euclid's algorithm 2261=1275×1+986 -----1)…

Q: Evaluate f C F = (x² +

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Q: Evaluate ffz + 3y - x^2 ds where S is the portion of z=2-3y+x^2 that lies over the triangle in the…

A: To find the value of given fds over given region.

Q: 8. Let D be the rectangle given by -1<ys0, 1s x< 3. calculate ff,(x2 + y)dydx

A: 8. We will evaluate the given double integral. Given integral is ∬D(x2+y)dy dx with the limits…

Q: Assume that u x =. Use the properties of the cross-product to evaluate the following expression.…

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Q: Transform the following point, using the given rule: (-3,8) Rule: (x,y)-> (x-8, y+2)

A: A coordinate system is a convention that is used to represent a point uniquely using a set of…

Q: Draw the bifurcation diagram for à = (x + 1)(x² – 2.x +r).

A: We are given : Now, the bifurcation diagram for this is :

Q: Find all solutions xa-10X+100 =0 by using the quadratic for muld. x=

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Q: Let f (x, y, z) = -12x? – y + 5z?. Calculate Vf (0, 5, 6). %3D (Write your solution using the form…

A: Solution

Q: the diagram: ΔLMNΔLMN  is a right-angled triangle with vertices L(−6;7),M(a;b)L(−6;7),M(a;b) and…

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Q: Find the betwween/bounded by area the Curue u=4y-x² and The line. 4=8-Zx.

A: Sketch the two curves From the graph, we observe that both curves intersect at x = 2 and x = 4.

Q: 4x-6z+5 2+3cosz sin z 9. Find dz.

A: Here we have to integrate the given Integral.

Q: Find the distance from P(1, -2, 3) to Q(-3, 5, -2).

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Q: Construct the truch table for (pq) (rs)

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Q: Find the surface area of the part of the plane z = 6 + 7x + 3y that lies above the rectangle [0, 4]…

A: Given equation of plane  z=6+7x+3y defined over D=[0, 4]×[0, 4] Now differentiate partially with…

Q: Use calculus to show that the maximum possible area of a triangle with one vertex at (0, 0) and the…

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Q: + 4z 53. Use (7.8) to evaluate dz around the circle |z – 2i| = 2. - z4 + 8z2 + 16

A: Given,  ∮z3+4zz4+8z2+16 dz  around the circle z-2i=2

Q: The diagram shows a rectangle OABC with part of the line y =x+1 and the curve y =| that intersect at…

A: The point B and P are the intersection of the curve y=x-12 and the line y=x+1. Solve the…

Q: Estimate zx (0.50, 0) and zx (0, 1.0) and zy (0, 1.0) from the contour diagram for z (x, y) in the…

A: z(0.50,0) = 1z(0.75,0) = 2z(0.50,1) = 1z(0,1) = 1z(0,1.2) = 3z(0,1) = 1

Q: thể midpoint of the segment with endpoints (3, 6) and (5, -2).

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Q: The base of a three-dimensional figure is bound by the line y = 4 - x on the interval [-1, 2].…

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Q: Find the distance d between the two parallel planes x + 2y 2z = −2 and x + 2y = 2z = 1.

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Q: Given that Z = 6x4y+3x³y2 find Zx at the point (2,6)

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