The region R lies on the lines x – y = 8, x + 7y = 8, x - y =| and x + 7y =

Q: Calculate û x ô if û = ĵ + 2k and û = -i - ĵ + k. %3D

A: Topic = Vector   if u→ =a1i+a2j+a3k and v→ =b1i+b2j+b3kthenu→×v→=ijka1a2a3b1b2b3

Q: What is the difference between discrete and continuous variables?

A: Discrete variables takes countable, finite or exact values in a given interval where as continuous…

Q: The distance between the line x - y + 3 = 0 and the line y = x + 2 is

A: The given two lines are x-y+3=0  and y=x+2. The equation of second line can be written as x-y+2=0.…

Q: Find the Cross product of A= and B=

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Q: The distance between the line x =-2+2t ,y=2t+1, z=2-t and the line x=3-2t ,y=-2t+1 ,z=t is

A: We are supposed to find the distance between the line x =-2+2t ,y=2t+1, z=2-t and the line x=3-2t…

Q: Q5) if z = 1./(3+x.^2+y.^2), where x and y = -3:0.1:3, could you plot x,y,z as shown below: 0.3 0.25…

A: Given: z=13+x2+y2where,x=-3,y=1.3   Now plot the given function.

Q: Integrate the expression 1017x² +840xy + 1492y² over the region bordered by the curve 1017x² +840xy…

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Q: Which of the following would be the positive x-coordinate where the line y=x+3 intersects the circle…

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Q: Determine the points of intersection of  y=x^2   and   y=x+1

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Q: The lines y where = and y = MON 5x - 7 and y = 2x + 8 intersect at the point (x, y) N

A: To find the intersection of given lines.

Q: over the triangular region Cut from the * quadrant by the line x+y =1.

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Q: y=-2log_(2)(x+3)-1 Plot at least four points that fit on.

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Q: the smallest possibl product of the two numbers x>= 0 and y<= 0, such that 2x-y=120 is:

A: Let x and y be two numbers such that  x≥0,y≤0, 2x-y=120y=2x-120

Q: Find the three areas of the region bounded by y= 2x²+10 , y=4x+1 and the lines x=-2 and x=5.

A: We need to find the area between two curves. The area between two curves y=fx, y=gx for x∈a,b is…

Q: What are the points of inter section of y = 8 and f(x)

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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: 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: How is the line y = 1 – x converted by mapping w = x² ? Please write the answer in legible and…

A: Given the line y=1-x and the mapping w=x2. Need to find the how the line y=1-x is mapped by w=x2.

Q: Q2) Find the distance between the line y= - (x+2 ) & the center of the circle y + x – 4(x+ y )= 9

A: The center of the circle x2+y2-2ax-2by+c=0 is a, b Therefore, the center of the given circle…

Q: Two points that lie on the line 5x-3y = 15 are (3, 0 O (5, -3) O (5,3) O (0,5) 0 (0, -5)

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Q: Find a value for x so that distance from (x,3,6) to the origin is 9

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