Find the linearization L(z, y) of f at the given point. Surface: f(a, y) In(x +9y) Point: (11e5,e) Find exact values and no decimals. L(r, y)

Q: The curve y + 22 = 25 is translated to a new position in the plane and the equation of the new curve…

A: Suppose y+x2=k is any function, where k is constant. Then, in the new translated function…

Q: Find the abscissa of the point on the graph of y=V 2x – 1 that is parallel to the line 2x - y+1=0

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Q: Q#4 (i) Let v, = ,and y |-3. For what value(s) of h is y in the plane generated by v, and v2?

A: It is given that the vectors v1=10-2, v1=-217  and  y=h-3-5. Suppose the space S is generated by v1…

Q: Find the point at which the line (-3, 3, 0) + t(-2, –3, –2) intersects the plane -2x – y + 3z = 5.

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Q: Calculate Duf(-1, 1, 1) in the direction of =--23-k for the function f(x, y, z)=-4x² + 5xy + y² + 3x…

A: Given function is f(x, y, z) = -4x2 + 5xy + y2 + 3x + 3yz - z2 - 5xz

Q: Find the point at which the line r(t) = (7, −7, 4) + t(−6, 6, −8) intersects the az plane.…

A: To find the point where the line intersects xz plane

Q: Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x,…

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Q: If (x1, yı) and (x2, y2) are distinct points in the plane, show that y 1 1 =0 X1 x2 y2 is the…

A: If (x1, y1) and (x2, y2) are distinct points in the plane, to show that  xy1x1y11x2y21 =0 is the…

Q: Find parametric equations for the line in which the planes x + 2y + z = 1 and x - y + 2z =-8…

A: x + 2y + z = 1 and x - y + 2z =-8 are the two planes.Let z=t So, the equations become:

Q: Let G(u, v) = (2u + v, 5u+ 11v) be a map from the uv-plane to the xy-plane. Find the image of the…

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Q: Find an equation of the plane through the three points given: Р - (0,5, 0),Q — (2, 1, —4), R —…

A: The given points are P=(0,5,0), Q=(2,1,-4), R=(-1,1,-3) We have to find an equation of the plane…