(5. 2y+z2)i+ (zy? 2)j+ (2 - 3. zy)k, find curl a at the point (4,3,3). (zy²2)j+ (c) Given that a = I - 3. ryz)k, find curl a at the point (4,3,3). The answer is Number i+ Number j+ Number

Q: A laser beam shines along the ray given by r(t) = (5.1.7) + (5,3,-2) for t≥ 0. The second laser beam…

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Q: Find the point on the line x - 3y+9 = 0 that is closest to the point (-1, 3). 1) (-0.9, 2.7) O 2)…

A: Closest distance form a point to a line is normal distance from point to line.

Q: 3. Rectangle PQRS with P(4, 0), Q(3, -3), R(-3, -1) and S(-2, 2); translate . =-'43

A: Consider the vertices of the rectangle PQRS with P4,0, Q3,-3, R-3,-1, and S-2,2. Draw a rectangle…

Q: Find x and y if (-3x - 9) + 4i = 6 + (3y - 2)i.

A: Given that,  (-3x - 9) + 4i = 6 + (3y - 2)i To solve for x and y, need to use below property of…

Q: Write y=2(0.5x-6)(6-24x) in the form y=k(x-r)(x-s) and give the values of k,r,s.

A: We have to factor out 0.5 and -24

Q: Find the missing endpoint. Endpoint: (2,5), midpoint: (5,1)

A: Given,             Endpoint is 2,5 and midpoint is 5,1.We know that,            The midpoint is…

Q: 2p2 – 7p = 14   p = (7 +  \/273)/4                             b.      p = (-2 +  \/14)/7   p =…

A: We have to simplify the expression 2p2-7p=14.

Q: Suppose that x 1 4 + y 1 4 = 2. What is y 00 at the point (1, 1)?

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Q: Which set of coordinates follows these two rules? • X-coordinate: Start with 4 and add 4 to each…

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Q: Find curl (5z i + 6x j + 2y k). curl (5z i + 6x j+ 2y k) = ( i )i + ( i )j + ( i )k Save for Later

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Q: +3 2y +1 4x-35 5y-8 4 11/5

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Q: order of (Z4, +4) for each element

A: order of (Z4, +4) for each element

Q: find the midpoint for A( -5 , 0 ) B( -15 , 6 )

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Q: Draw a picture of Cay({2, 5}:Z8).

A: Given,            Cay2, 5 : Z8.

Q: Calculate (7xy + 5e²) d.S, where S is the triangle with vertices (0, 0, 3), (1, 0, 2), and (0,4, 1).…

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Q: 18.) Which is not a point on the equation -2x - 3y + 5z = 7? a. (1,2,3) b. (-2,-3,5) c. (-2,4,3)…

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Q: Evaluate |*(x + 7) – 2y ds where C is the circle of radius 1 centered at (-3,0) and lying on the…

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Q: Calculate (3+j6)19 in rectangular format. Please show all your steps.

A: By using De moivres theorem the answer is given as follows :

Q: Find curl (4z i + 5x j+ 2y k).

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Q: Express 2e3+in6 in rectangular form.

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Q: 23. Select the expression that simplifies to æy10z -1.3 O -lyz

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Q: Calculate the dot product of ?=(−4,−2,7,−3)and ?=(−3,1,5,8)

A: Given vector is u→=−4,−2,7,−3 and v→=−3,1,5,8. We have to calculate the u→⋅v→.…

Q: find the midpoint of AB if A(-3,8) and B(-7,-6).

A: GivenA(-3,8) and B(-7,-6).

Q: what are the coordinates of the image D0.5 (3,4)

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Q: A billiards table is 8 feet by 4 feet, and has pockets in all four corners and in the middle of the…

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Q: Determine whether the points (-6, 5), (1, 7), and (16, 10) are collinear.

A: Given: -6,5, 1,7  and 16,10 Concept Used: Three points are collinear if area of triangle is zero.…

Q: Evaluate (7xi-k) -ñ dA over a sphere x² + y² + 2² = 4 (Round to the nearest hundredths) JJ (²x T- ff…

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