Ion 41 Let A = (m, n) and B = (x, y). If A and B lie in on horizontal line and B is to the right of A, which of the following is true? O y= n and m> I y =n and > m O0-mand n> y 2-mand y> n

Q: Qz Find of the lines the point of inter section Linei X = 2 ti +1g y=3t,+29Z=4tı73 Line 2 x = t2 +2,…

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Q: i Let the domain be C := {(x, y, z) E R³ :1 < x² + y? + 2² < 9}. Solve Au = 0 in C, %3| u(x, y, z) =…

A: Given:-             uxx +uyy +uzz = 0This will be in the form of    u = a x2+y2+z2-1 +b

Q: Find the point at which the line f(z)= 5z + 21 intersects the line g(z) = - 2z -7 %3D -2 11 Submit…

A: To find the intersection point of the lines f(x)=5x+21 and g(x)=-2x-7.

Q: E valuate f win Tydy tyxdx olE Cethe line seqment f&Om (0,2) to

A: on solving this we get the

Q: Find (au / ay) at the point (u,v) = (√6, − 1), if x = u² + v² and y= uv. ди (2) (Simplify your…

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Q: A fisherman has collected data about the length in inches, L, and weight in ounces, w, of fish he…

A: Linear regression equation is given, w=−37.1+3.2L Where w is weight of a fish and L is the length of…

Q: dz dz Let z= f(x,y) , where x= u? + v? and y= Find and du at (u,v) = (- 40, - 4), given that :…

A: Please see the explanation below

Q: Wnete to y=2x=1 equotion for Hhe line Pacallel the Doinit 4,9) an and

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Q: // | *dædydzB = {(x, y, 2) =€ R® 0 <« < 1,0 < y < 1,0 < z < x} {(x, y, 2) =€ R° 0<æ < 1,0 < y < 1,0…

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Q: E valuate / (x² + iy³) dz, where C is the straight line from z = 1 to z = i. %3D

A: We have to evaluate ∫Cx2+iy3dz, where C is the straight line from z=1 to z=i. Since we have z=x+iy…

Q: Solve step by step pls Which of the following planes is normal to the line given as : x = 2t + 3, y…

A: If a plane is normal to a line, then the normal vector of the plane should be parallel to the…

Q: 2. Evaluate (x² + iy) dz, where C is the straight line from z = 1 to z = i.

A: to find  ∫Cx2+iy3dz,  where C is the straight line from z=1 to z=i proof using giving condition we…

Q: Evaluate (x+ y)ds where C is the straight-line segment x = 3t, y = (12 - 3t), z = 0 from (0,12,0) to…

A: We need to evaluate the integral along the given line. First eliminate the parameter t.

Q: Carsider the oniented ane C,givan by C, U G Where Cz is ob taimed by intersect the surfges. S1:…

A: For the solution follow the next steps.

Q: Parallel unes /perpendialar Through point Wnat is an equation of the line that, passes through the…

A: If two line are parallel their slopes are equal

Q: 45. In AXYZ, W is between Y and Z. The coordinates are X(2,3), Y(5,0), Z(0,0) and W (2,0). What is…

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Q: A line can combine unites of inputs Cx) to produce processing units of output cy such trat there is…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: Q 1 Find (ylz at the point (w, X,y,Z) (4,2ル-) Jy'z W = x² y? +yZ -2 tyz + 7? = 6

A: The partial derivative of the functions with multiple variables can be calculated by assuming the…

Q: a) Lollowng use Euler ncthoel tsoule The d = yx2-Y for メ=2 at h=o.Ś , h=0.25 y= x +zy h=ol y (2)= }

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Q: Hwi Sind the vecter Paralle I to the line metersell bet ween the flanes and X+y=2 2) X-2y+47-2 and…

A: Two non parallel planes meet at a line. The direction of this line is perpendicular to the normal of…

Q: v(e -Y cos x) • dr, where C is the line from (0,0) to (2x, kn 7)

A: The fundamental theorem of line integral, also known as gradient theorem states that suppose a curve…

Q: Find the Jacobian ",Y,2) where u = yz, v = z, w = x + g 8(u,v,w)

A: We have been given  u=yz,v=z,w=x+y First, we will convert the functions x, y, and z in terms of u,…

Q: Line WY bisects Line UV at Y. If UY = 2x + 1 and YV = x +7, find UV.

A: Meaning of biscsts is dividing into 2 parts .

Q: .2 y = x", y = 2x, about the line x = 0 using the method of disks or washers. 4 Volume…

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Q: Calculate fw(-1, 2, 0, – 1) where f(x, y, z, w) = xy²z – xu? – e2²-y²–2²+2w=

A: Given that fx,y,z,w=xy2z−xw2−e2x2−y2−z2+2w2 To calculate: fw−1,2,0,−1

Q: fc z2 dx+ x2 dy +y2 dz, C is the line segment from (1,0,0) to  (4,1,2)

A: Given, r(t)=z2dx+x2dy+y2dz We have the line segment from (1,0,0) to (4,1,2) We parametrize the given…

Q: Suppose you are climbing a hill whose shape is given by z = 1000 – 0.009x? – 0.02y², where x, y, and…

A: Given function: z=1000-0.009x2-0.02y2 x, y, z are measured in meters. Starting coordinates: (50, 30,…

Q: The distance between the two lines x = 1+ t,y = -2+ 3t, z = 4 – tand x = 2s, y = s, z = s is

A: Please see the explanation below

Q: f(x, y, z) = xe z2, piecewise linear path from (0, 0, 1) to (0, 2, 0) to (1, 1, 1)

A: To Determine: calculate ∫cxez2dx Given: we have piecewise linear path from (0, 0, 1) to (0, 2, 0) to…

Q: f(2ecz tan z - 6z")dz=_ • tan z+z+e secz+z+e • secz-z+e - secz-z+c •- secz+z+e

A: Since you have asked multiple question As per our policy, we will solve the first question for you.…

Q: The distance between the two lines x = 1+t,y = -2 + 3t, z = 4 -tand x 2s, y = s, z = s is a) 1/2 b)…

A: Please see the explanation below

Q: The lines (t) = 2+2t, y(t) = 1 – t, z(t) = 3+t %3D and x(s) = 1+2s, y(s) = -s, z(s) = 4+s are…

A: Let P1x1,y1,z1 and P2x2,y2,z2 be the points on the lines l1 and l2, respectively. Let v1→ and v2→ be…

Q: 1 (vz,xz,xy) dr where C is the union of the curve y=x* from (0,0,0) to 1+xyz Evaluate (11,0) and the…

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Q: dw ду Find OW at the point (w, x, y, z) = (9,3,1,1) if w = x²y² + yz - z³ and x² + y² + z² = 11. dy…

A: Given: w=x2y2+yz-z3x2+y2+z2=11 The objective is to find the partial derivative of w with respect to…

Q: Q3: Let L: x-2+3t, y 2t-1, z-4t and M: x+2y+z-11, and let (p) be thus point of intersection. Find…

A: given line is                                                         L1: x=2+3t, y=2t-1, z=4tM:…

Q: lack bus of voltage 1.0< 0" p.u. The line im

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Q: y = x', y = 4x, x > 0 about the line y = 0 using the method of disks or washers. 2 Volume…

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Q: and u = then the distance from y to Span{u} = line through the origin and y is 2/10. Let y = True…

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Q: Evaluate | (x + iy' ) dz, where C is the straight line from z =1 to z=i.

A: given, C is the straight line from z=1 to z=i claim- evaluate the integral ∫Cx2+iy3 dz

Q: Evaluate (x+y)ds where C is the straight-line segment x =t, y= (2- t), z =0 from (0,2,0) to (2,0,0).…

A: We need to evaluate ∫C(x+y) ds. We are given that C is the straight line segment x=t, y=2-t, z=0…

Q: shows an offshore oil well located at a point W that is 5 km from the closest point A on a straight…

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Q: An unevenly heated metal plate has temperature T(x,y)T(x,y) in degrees Celsius at a point…

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Q: Cen fix,y,3)= xe マf: le-.(1-2リ, -2we° Fud the equution of tunyent plene to the surture at point l,…

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Q: R = {(x,y) E R ×x R : x > y} T = {(x, y) E R × R : x > y}. RoT.

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Q: Solve Utt - c?uxx = 0, –n 0, %3D u(x, 0) = f(x), u(-n, t) = 0 = u(n, t), ux(-n, t) = 0 = ux(n, t).

A: Given: The PDE is utt-c2uxx=0 , -π&lt;x&lt;π,t&gt;0.

Q: 27. x sec'y dA, R= {(x, y) | 0 < x < 2, 0 < y < T/4} R 28. (y + xy-) dA, R = {(x, y) | 0 < x < 2, 1…

A: For the double integral, ∫ab∫cdf(x, y) dxdy, the limits of integration corresponding to the…

Q: r(2,4) Sa (2y+x) dx +(3x– y)dy} along the straight line x-2t and Evaluate J(0,3) y=P+3.

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Q: The distance between the two lines x = 1+ t, y = -2+ 3t, z = 4 - tand x = 2s, y = s, z = s is a) 1/2…

A: