Find the orthogonal projection of y = 8. 4 on W (1)-8} Span

Q: Evaluate fay'da + aªdy, where C is the rectangle with vertices (0,0), (1,0), (1,4), and (0,4)

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Q: (6) Let -1 3 1 y = 2 and uj = -1 u2 -1 -2 Find the closest point to y in span{u1,u2}. What is the…

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Q: AP is perpendicular to PB, where A is the vertex of the parabola y^2 = 4x and P is on the parabola.…

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Q: Illustrate Divergence in three Dimensions?

A: Divergent vector field. Three-dimensional vector field used to illustrate fluid flow with positive…

Q: 13) Find the points of intersecti on of the parabola and the line. y=2x^2-3x-1 and y=x+5

A: Equate the equations with each other and solve for x to find the point of intersection .

Q: Find the tangent line to the ellipse 0y-x-8 0,-1,-√7 y = 14 0y=-√14x-7 O None of these ○ y = √7x-8 1…

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Q: the coordinates of the shadow point k (5,-4) which are translated by T=((-2)/(1)) and followed by…

A: The given point is:k=(5, -4)

Q: Let S\index{1} be a circle passing through A(0,1) and B(-2,2) and S\index{2} be a circle of radius…

A: The equation of line AB is             y-2=2-1-2-0(x+2)                 =-12(x+2)or       x+2y-2=0…

Q: Triangle XYZ is drawn with vertices X(1, 2), Y(2, 5), Z(3, 4). Determine the translation direction…

A: Vertices of a triangle XYZ: X=1, 2Y=2, 5Z=3, 4

Q: What does it mean for two families of curves to be mutually orthogonal?

A: Two families of curve are said to be mutually orthogonal if they intersect at right angles. Angles…

Q: If the xy-coordinate axes are rotated , find the XY-coordinates of the point (x,y) = (4,5

A: The new coordinates (X, Y) of a point (x, y) can be found using the following rotation…

Q: show its 3d version using geogebra

A: We have the unit vector asa^=2299152, -9, -72The 3D figure of the unit vector in Geogebra is as…

Q: a parabola which opens downward with endpoints of latus rectum in (-3,3) and (3,3) what is the…

A: Given are the end points of latus rectum of a parabola which opens downwards .The objective is to…

Q: Find the orthogonal trajectory of the curves x² = cy³ passing through (1,4).

A: In the given problem the curve equation is given and the point of Passing is given.  To find the…

Q: -4, 0) Ay \ 2x (1, 0) -2 -2 (-1, 0) 4 (4, 0) 6' -3 1. 1 3 x 4 (2, 0) (-2, 0) 5. 4, 0) 4 2 6.

A: We have to find the intercepts of the x axis of the equation of the given graphs.

Q: This graph shpws parallelogram JKLM and parallelogram K'K'L'M'. Which function describes a…

A: This graph shows parallelogram JKLM and parallelogram K'K'L'M'.

Q: Fit a linear model In(P) = In(Po) +r (t – to) through the data points %3D (ti, In(P:)), i= 0,…

A: Let the linear equation be y=a+bx. To determine the values of the constants a and b, solve the…

Q: Find the orthogonal trajectories of the family of parabolas through origin and foci on axis.

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