Use a tangent plane at (-3,4) to approximate the value of the following function at the point (– 2.9, 3.9): x? + 6y? – 6z = 57 Present your answer accurate to 4 decimal places.

Q: Use a tangent plane at (3,-7) to approximate the value of the following function at the point (3.1,…

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Q: On the curve y = x², find a point at which the tangent is parallel to the chord joining (0, 0) and…

A: To find the point

Q: Find the slope of the tangent line to the curve−4x^2+4xy−3y^3=−5at the point (1,−1).

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Q: Use a tangent plane to approximate the value of the following function at the point (1.1, 5.9): f(x,…

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Q: ) Find the equation of the tangent line to f(x)= (36+2x2)-1/2 at x=0  y= (b) Use your answer to…

A: We use the fact that f(X) is approximately equals to f(a)+ f'(a)(x-a), which is tangent to line to…

Q: Find the tangent line to the curve C: r =t, y = t° – 3t at the point (3,0).

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Q: Find an equation of the tangent plane to the graph of f(x, y) = 4x² – 7xy2 at the point (7, 8) z =

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Q: Find the equation of the tangent line to the curve when x has the given value. f(x) = x – x; x = 4 O…

A: Given curve is Differentiating with respect to x , we get Now, we will find f(4) and f'(4)

Q: Find an equation of the tangent plane to the graph of f(x, y) = at the point (2, 9). y Z =

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Q: Find the slope of the tangent line to the function: 4y 27 1 + х2 At point (1, 1) . 2.

A: Given:

Q: Find the tangent line to the curve C: r =t, y = t – 3t at the point (3,0)

A: dydx=dydtdxdt=3t2-32tx=3 at t=±3 so there are two slopes tangent…

Q: Use a tangent plane to approximate the value of the following function at the point (– 2.9, 3.9).…

A: We have to find f(x,y) .......

Q: Find the slope of the tangent line for the curve r= 2cos 30 at the point where 8 = a) 1 b) - V3 c)-6

A: Given curve r=2cos 3θ Point θ=π6 Differentiate r with respect to θ drdθ=ddθ2 cos 3θdrdθ=-6sinθ We…

Q: Find an equation of the tangent plane at the given point. f (x, y) = x/√y,  (4, 4)

A: Given : The function is f ( x, y) = xy and point ( 4, 4 ).

Q: Find the equation of the tangent line at (1,2) for x'+2y = 9 y- A= B(x - C)

A: point (1,2)  ; x3+2y2=9 In the given point x is 1, y is 2

Q: Determine the slope of the tangent line to the function with the given information: a. f(x,y) =…

A: Note: There are multiple sub questions. No specific question has been asked. So, We will solve the…

Q: Find an eqaution of the tangent line to the curve at the given point. y = √x, (1,1)

A: We have to find the equation of tangent line to the curve: y=x at the point 1, 1 We know equation of…

Q: Use a tangent plane to approximate the value of the following function at the point (4.1, 4.9). Give…

A: Equation of Tangent Plane is  z=f(x0, y0)+fx(x0, y0)(x-x0)+fy(x0,y0)(y-y0)Linear Approximation of f…

Q: Find the slope of the tangents to the curve at the points (P1 and P2) where it crosses (the x-axis.…

A: The curve will cross the x-axis when it's y intercept become zero.   Slope of curve at any point is…

Q: Find the tangent line to the curve x = -/t + 1 , y = , y = \3t at the point def ined by t = 3

A: Using formula of equation of tangent line to the curve at given point.

Q: The tangent plane to the graph of the function :==3y+1=(1+y} at the point (1; 1; 3/2) contains point…

A: The given equation of the surface is z=x2y+1. Rearranging the above equation gives, w=z-x2y-1 Find…

Q: Find an equation of the tangent plane to the graph of f(x, y) = 4x² - 7xy² at the point (7, 8). z =

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Q: Find the slope of the tangent line to the graph r=2sin(0) at the point V3, 3 11.

A: We have to find

Q: Find the x-coordinates at which the tangent line to y= is horizontal

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Q: Find the point(s) (x, y) on the function f (x) = V1+ 2x where the tangent line is parallel to the…

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Q: Find the equation of the tangent line (assuming it exists) to f(x) = x² + x at x = -2. Give your…

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Q: Find a point on the curve y=√x, where the tangent makes an angle of 45 degrees with the positive…

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Q: Determine the slope of the tangent line to the function with the given information: (a) f(x, y) =…

A: According to Bartleby guidelines we have to answer only first three subparts please upload the…

Q: Find an equation of the tangent plane at the given point. g(x, y) = ely, (4, 1) (Express numbore in

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Q: 2y+ In(xy) +z = 6 at the point (4,0.25, 2)

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Q: Find the tangent line, in standard form, to y= f(x) at the indicated point. y = 4x2 – 5x + 8, at x=…

A: →Let y=f(x)    Slope, m =dydx→Equation of straight line passing through (xo,yo) with slope m is…

Q: f(x, y) = (29 - x2 - 4y2)1/2  at  (2, 2)

A: Given that: The function f(x , y) = 29 - x2 - 4 y2   . The point (2 , 2).

Q: On the curve y=x', find a point at which the tangent is parallel to the chord joining (0, 0) and (1,…

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Q: Use a tangent plane to approximate the value of the following function at the point (- 2.9, 10.1): |…

A: Consider the given information: f(x,y)=arctanxy2+301 To use the tangent plane approximation to find…

Q: Determine the slope of the tangent to the curve 1 Ax) = Vx + ÷+2 at x = 1 %3D A D을 1 B글 C4

A: Given f(x)=x+1x+2 at x=1 Find Slope of the tangent to the curve at x=1 slope,m=f'(x) at x=1

Q: Find the slope of the tangent line to the curve I defined b y 5x²+8xy-4y"= 1B47 atthe point %3D…

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Q: Find an equation of the tangent plane to the graph of f (x, y) = xy 2 - xy + 3x 3y at P = (l, 3).

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Q: Find the equation of the tangent line to the function f(x) = 2x? – x at the point where x form y =…

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Q: Find the tangent plant to f(r, y) = x² + 3ry + 5y² at the point (1,2).

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Q: Use a tangent plane to approximate the value of the following function at the point (- 2.9, 3.9).…

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Q: find the points on the curve where the tangent is horizantal, X=t^2+1,y=3t^2+t

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Q: On the curve y=x2 ,find a point at which the tangent is parallel to the chord joining (0,0) and…

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Q: find the equation of the tangent line to the curve at the point corresponding 4o the given value of…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the equation of the tangent plane to f(x,y)=√2xy+ 1 at the point            (2, 2),and use it…

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Q: Find an equation of the tangent plane to the graph of f(x, y) = 9x at the point (2, 9 Vy z =

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Q: On the curve y=x2,find a point at which the tangent is parallel to the chord joining (0,0) and (1,1)

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Q: f (z) = V 425 + 21 at the point (1,5)

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Q: Calculate the equation of the tangent plane to z = at (4, 2) y?

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Q: The equation of the tangent line to the curve z? + y² = 49, at (9,-15) is , %3D 15 - (z – 9) + 15 15…

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