Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = x2 - 2xy + y²,…
A: Equation of tangent plane : Fx(x-x0) + Fy(y-y0) -(z-z0) = 0
Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = x² - 2xy + y²,…
A: Given that f(x,y)= z = x2-2xy+y2 So, this can be rearrange as…
Q: Find the equation of the tangent plane to the given surface at the specified point. z=xsin(x+y),…
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Q: 32 – x² – 3y² at the 5. Find the equation of the tangent plane to the surface z = point (2, –1, 5).
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Q: nd an equation of the tangent plane to the given surface at the specified point. z = 4x² - y² + 4y,…
A: Topic:- application of derivatives
Q: 3. Find the equation of the tangent plane to the given surface at the point (0,-1,-2). y = 2x? - ? O…
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Q: 1. Find the equation of the tangent plane to the given surface at the point (0,-1,-2). * 2r2 „2
A: by using formula of plane
Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = x2 – 2xy + y²,…
A: Given: f(x,y)=x2-2xy+y2, (5,7,4).
Q: Find an equation of the tangent plane to the surface f(x, y) = x2y at the given point (2, 1, 4) and…
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Q: I. Find an equation of the tangent plane to the surface at the given point. a. f(x,y) = x² – 2xy +…
A: Given point is (1, 2, 1).
Q: Find an equation of the tangent plane to the surface z = x2 + y2 + 2 at the given point (1, 3, 12)
A: Given surface, So
Q: Find an equation of the tangent plane to the given surface at the specified point. z = x sin(y – x),…
A: From the given equation: z=xsin(y-x) And Px,y,z=8,8,0 Let, f(x,y,z)=z-xsiny-x As we know that, The…
Q: find equations for the(a) tangent plane and(b) normal line at the point P0 on the given surface. cos…
A: Given,
Q: Find an equation of the tangent plane to the given surface at the specified point. z = 2x2 + y2 -…
A: We know that equation of tangent plane to the surface z=f(x,y) at the point (a,b,c) is
Q: 1. Find an equation of the tangent plane to the given surface at the indicated point. 2² + y? – 3z =…
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Q: Find an equation of the tangent plane to the given surface at the specified point. = 4(x – 1)2 + 3(y…
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Q: Find an equation of the tangent plane to the given surface at 'the specified point. Z =2x²+y&-5y and…
A: The equation of a tangent plane to the surface f(x,y,z) at the point x0 , y0 , z0 is calculated…
Q: f(7,9) = 7. (1,1,1) zx/2+ y/2+5 -4/8-y/2
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Q: 4. Find an equation of the tangent plane to the surface x = u? + 1,y = v³ + 1,z = u + v at the point…
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Q: Find an equation for the plane that is tangent to the given surface at the given point. z= vy-x…
A: Here, the given surface is: z=y-x Now, ∂z∂x=12y-x(-1)=-12y-x∂z∂y=12y-x(1)=12y-x Now, at (0,4,2):…
Q: Find an equation of the tangent plane to the given surface at the specified point. z = 2(x – 1)2 +…
A: Equation of tangent plane to the given surface ' z=fx,y' at point x0,y0,z0 is…
Q: Find an equation of the tangent plane to the surface at the given point. 2 x2 + 2z?ey - x = 33, P =…
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Q: Find an equation of the tangent planes to the given surface at the specified point. (a) f(x,y)= 4x…
A: As per guidelines if multiple questions are posted we are allowed to solve only 1st question.
Q: Find an equation of the tangent plane to the surface at the given point. x^2 + 3y^2 + 4z^2 = 20, P =…
A: The equation of the tangent plane can be calculated by using the formula…
Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = x² – 2xy + y²,…
A:
Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = x2 - 2xy + y2,…
A: This question is based on finding equation of tangent plane.
Q: Find an equation of the tangent plane to the given surface at the specified point. z = 6(x − 1)2 +…
A:
Q: Q3/Find the equation for the tangent plane and normal line to the surface Z = 9-x² + y² at the point…
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Q: Find an equation of the tangent plane to the given surface at the specified point. z = In(x - 3y),…
A: Here, the surface is: z=ln(x-3y) To find the equation of the tangent plane at the point (7,2,0).…
Q: Find an equation of the tangent plane to the given surface at the specified point. z = 4(x - 1)² +…
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Q: Find an equation of the tangent plane to the given surface at the specified point. z = 5(x - 1)² +…
A:
Q: b) Find equations for the tangent plane and normal line at the point P-(2, –3,18) on the surface…
A: x2+y-2xy-x+3y-z=-7 Let fx,y,z=x2+y-2xy-x+3y-z+7 and the point is 2,-3,18 Now,…
Q: Find an equation of the tangent plane to the given surface at the specified point. z = 4(x - 1)2 +…
A: We have equation of the form z= f(x, y) And we have to find equation of tangent plane to the…
Q: Find an equation of the tangent plane to the given surface at the specified point. z3 бх2 + у2 - 7у,…
A: Solved below...
Q: Find the equation of the tangent plane to the given surface at the point P. x2 + y2 + z2 = 9, P =…
A: Concept Used:- For an implicitly defined function f(x, y, z)=0 The equation of the tangent plane to…
Q: (a) Find an equation of the tangent plane to the surface at the given point. xyz = 12, (1, 3, 4) (b)…
A: Given: xyz=12 (1,3,4)
Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = x2 – 2xy + y2,…
A:
Q: (a) Find an equation of the tangent plane to the surface at the given point. x2 + y2 + z2 = 14, (1,…
A: We have to solve given Questions.
Q: Find an equation of the tangent plane to the surface at the given point. z = x2 + y? + 6, (1, 3, 16)
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Q: An equation of the tangent plane to the surface 2+y at the point p(1, 7, 3) is 2+x
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Q: YouTrylt 1 Find an equation of the tangent plane to the given surface at the specified point.…
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Q: b. Find an Equation for the tangent plane and normal line at the points Po on the given surface. x +…
A: Tangent palane and line equation
Q: Find an equation of the tangent plane to the given surface at the specified point. = In(x - 3y),…
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Q: 4) Find the equation of the tangent plane to the surface r(u, v) = (u² − v²)i − (3uv)j + (4√u+v)k…
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Q: Find an equation of the tangent plane to the given surface at the specified point. z = y In(x), (1,…
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Q: Find an equation of the tangent plane to the given surface at the specified point. 2x2 + y? – 9y,…
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Q: Find the equation of the tangent plane to the surface z = 3 e^(x−y) at the point (4, 4, 3)
A: We find the equation of the tangent plane to the surface z = 3ex-y at the point (4, 4, 3).
Q: 3. Find the equation of the plane tangent to the graph of f (x, y) = 3x + 4y – xy at the point (1,…
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Q: Find an equation of the tangent plane to the given surface at the specified point. z = V xy, (2, 2,…
A:
Determine an equation of the tangent plane to the given surface at the specified point.
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- find ƒx , ƒy , and ƒz . ƒ(x, y, z) = 1 + xy2 - 2z27x-4y-3z = 21 -4x+7y-z = 0 -3x-y+5z = 0 x, y, z?XY = 11d, YZ = 9d - 2, XZ = 5d + 28 XY = 4n + 3, YZ = 2n - 7, XZ = 20 XY = 3a - 4, YZ = 6a + 2, XZ = 5a + 22 XY = 3k - 2, YZ = 7k + 4, XZ = 4k + 38 XY = 4x, YZ = x, and XZ = 25 XY = 4x, YZ = 3x, and XZ = 42
- The number of defects on the front side (X) of a wooden panel and the number of defects on the rear side (Y) of the panel are under study. Suppose that the joint pmf of X and Y is modeled as fxy (x,y)=c(x+y), x=1,2,3 and y=1,2,3. Check if the number of defects on the front side (X) of a wooden panel and the number of defects on the rear side (Y) of the panel are independent.Your major online bookstore is in direct competition with Amazon.com, BN.com, and BooksAMillion.com. Your company's daily revenue in dollars is given by R(x, y, z) = 10,000 − 0.01x − 0.02y − 0.01z + 0.00001yz, where x, y, and z are the online daily revenues of Amazon.com, BN.com, and BooksAMillion.com respectively. (a) If, on a certain day, Amazon.com shows revenue of $10,000, while BN.com and BooksAMillion.com each show $5,000, what does the model predict for your company's revenue that day?$ ________(b) If Amazon.com and BN.com each show daily revenue of $5,000, give an equation showing how your daily revenue depends on that of BooksAMillion.com. R(z)________find ƒx , ƒy . 1. ƒ(x, y) = 2x2 - 3y - 4 2. ƒ(x, y) = x2 - xy + y2 3. ƒ(x, y) = (x2 - 1)(y + 2)