Evaluate Jo₂ z²dx - zdy + 2ydz, where C₂ is the line segment from P(0, 1, 1) to Q(1, 2, 3).

Q: Find u and v if u + v = (2,−3) and 3u + 2v = (−1, 2).

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Q: Evaluate F. dr along the line segment C from P to Q. F = -8xi+y j; P(-2,0), Q(7,0) F• dr =

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Q: In a regression analysis involving 30 observations, the following estimated regression equation was…

A: Solution In a regression analysis involving 30 observations, the following estimated regression…

Q: If the midpoint of E (a-2,2a+3) U (1-3b,2b+1) and M is (6,3) find the value of a and b

A: I am going to solve the problem by using some simple geometry to get the required result of the…

Q: Find the equation of a line parallel to 2x+y-3-0 passing through (-2, 3). 2y + x + 1 = 0 none of…

A: As per guidelines i can only solve the first question in multiple questions.Finding the equation of…

Q: Find the point (x,4) which is 5 units from the line 12x + 5y - 6 = 0 11/4 4/11 4/17 17/A

A: NOTE: Refresh your page if you can't see any equations. . the given point is  and the given…

Q: Calculate the length of PQ where P = (-2,1,6) and Q = (-3,4, –1).

A: We will find the length of PQ→ in the following step

Q: Find the distance of the point (4, 2, -4) from the line r(t) = (1+2t, 1+ 2t, 7 - 3t).

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Q: Soly

A: Given  u = ( -1 , 0, 1, 1)   v = ( 2, 3, -1, 0)

Q: 2. Evaluate (3xy+iy²)dz along the straight line joining z = i and z = 2 – i.

A: Given the Integral, ∫i2-i(3xy+iy2)dz We, know that z=x+iy ⇒dz=dx+idy, When z=i    ⇒x=0 and y=1  When…

Q: Find k so that the points P(0, 1, 1), Q(-1, 1, 3), and R(-3, 1, k) are on the same line (collinear).

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Q: Consider the linear equalion 5x+2y=17. Fis the value of s that makes the given ordered pair (x,1)

A: The given equation of the line and point is: 5x+2y=17 and Px,y=x,1

Q: Find x such that the points A(x, 5), B(2, 3), and C(4, - 5) are collinear.

A: Given. A(x,5), B(2,3) and C(4,-5) are collinear.

Q: Write v as a linear combination of u and w, if possible, where u = (2, 1) and w = (2, -2). (Enter…

A: u=2, 1 and  w=2, -2To express v=4, -1 as a linear combination of u and w

Q: If A = x²zi + xyj + y²zk and B = yz²i+xzj + x²zk determine the expression grad(A.B) at the point…

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Q: Find Sc((x² + 3y)i + 3y³j) · dr' where C consists of the three line segments from (2, 0, 0) to (2,…

A: Given ∫x2+3yi→+3y3j→.dr→ where C consists of the three segments from (2,0,0) to (2,2,0) to (0,2,0)…