Use a tangent plane to approximate the value of the following function at the point (- 2.9, 3.9). Give your answer accurate to 4 decimal places. f(x, y) = /34 a2 - y?

Q: Let f(x) tangent line to the graph of f(x) at the point (0, 0) is = 6x + 15 – 15e". Then the…

A: The given curve is: f(x)=6x+15-15ex

Q: Use a tangent plane at (-3,4) to approximate the value of the following function at the point (–…

A: As per Bartleby's answering policy, we can answer only one question, so here we have solved the…

Q: The slope of the tangent line to the graph of the function y = 2/x – 6 at (36, 6) is 6 -0.50 0.17…

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Q: find the tangent line approximationT to the graph of f at the given point. Thencomplete the table.…

A: Consider the given function.  y=x5, (2,32) The tangent line approximation is defined as.…

Q: Estimate the slope of the tangent line of the function y(t) = sqrt(2t+1) at the point t=5.

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Q: Determine the point(s) on the following function where the tangent line is…

A: f(x)=−x3+3x2In order to get the slope of the curve or that of a tangent to the curve at any point…

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 tangent line of the function f(r) = e"/x at the point a = 1. Write in the form…

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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: Determine the slope of the tangent line to the curve A(x) = at x=-0.81 (answer in 2 decimal places,…

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Q: Find the values of x where the tangent line to the 1 graph of f(x) is parallel to the line - y = 8x…

A: Given: Graph of function fx=1x  and line y=-8x+4.

Q: Find the equation of the tangent line to the graph of the function f(x) = 30 - 4In(2) at I = 1.…

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Q: Find the linear approximation of the function f(x) = /1 – x at a = 0 and use it to approximate the…

A: Given,

Q: Find the slope of the tangent to the curve at the point specified. x + 2xy + y? = 25 at (1, 4) %3D

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Q: Use the graph to estimate the slope of the tangent line to y = xn at the point (1, 1). Verify your…

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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: Estimate the slope of the tangent line at the point t= -2 for f(t) = 6t-3 (Give answer as a…

A: The given function is f(t)=6t-3 at t=-2

Q: Use linear approximation, i.e. the tangent line, to approximate 0.252 as follows:

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Q: The slope of the tangent line to the graph of the function y = 9/T – 4 at (16, 32) is O 1.75 O 4…

A: The given function is: y=9x-4 Now, slope of the tangent is given by dydx=92x-0=92x

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 equation of the tangent Iline for the function f(x) = at the point x = 1. Write in the form…

A: The objective is to find the equation of the tangent line for the function f(x)=2xx2+1 at the point…

Q: Find the point(s) on the graph of f where the tangent line is horizontal. (If an answer does not…

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Q: Find the equation of the tangent line to the graph of f (x) = Vx + 169 at the point (0, 13). Answer…

A: We havve to find the equation of the tangent line to the graph off(x) = x+169 at the point (0,13).

Q: Estimate the slope of the tangent line at the point indicated.

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Q: Consider the function f(x) = x² – 3x + 5. Out of all the many tangent lines of f (x), determine the…

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Q: Find the point(s) on the graph of f where the tangent line is horizontal. (If an answer does not…

A: Given f(x) = xx2+81Since slope of tangent at any point on curve is given by derivative of f(x) at…

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 equation of the tangent line to the graph of the function f (x) = 4xcosx + 3 at the point…

A: Given that: f(x)=4x.cosx+3 at point (0, 3)

Q: Consider the function f(x) = 1/x and show it on grap. Find the equation of the tangent line at x =3.

A: Given function is fx=1x. To graph the function and the find the equation of the tangent line at x=3.…

Q: Find the equation of the tangent line to the graph of the function f(z) = V6z4 + 10 at the point (1,…

A: Given: fx=6x4+10 To Find: Find the equation of the tangent line to the graph of the function fx at…

Q: The slope of the tangent line to the graph of f(x)%3D at a =-1 is: x2 - Select one: 1. a. O b. O c.0

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Q: Use linear approximation, i.e. the tangent line, to approximate 1/1.004 as follows: Let f(x) = 1/x…

A: Given , The equation of the function is ,  f(x) = 1/x Linear Approximation ,  f(x+dx)=f(x)+f'(x)dx…

Q: The slope of the tangent line to the graph of the function y= 8/T-6 at (36, 42) is O -1.50 6 O 0.67…

A: Slove of the tangent to the function y at point (a,b) is m= y'(a).

Q: The slope of the tangent line to the graph of the function y = 5VT-5 at (25, 20) is O 5 O 0.50 O…

A: Application of differentiation

Q: Find the point(s) on the graph of f where the tangent line is horizontal. (If an answer does not…

A: Given- fx=xx2+49 To determine smaller x-value and larger x-value.

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: Differentiate the function and the function of the tangent line at the given value of the…

A: Given, s=t^3-5t^2 t= 3

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: Find the equation of the tangent line to the graph of f(x) at the (x, y)-coordinate indicated below.…

A: We have to find the equation of tangent line

Q: Use a tangent plane to approximate the value of the following function at the point…

A: If the function is fx,y=arctanxy2-699 So, fxx,y=y21+xy2-6992fyx,y=2xy1+xy2-6992 Now,…

Q: Find the point(s) on the graph of f where the tangent line is horizontal. f(«) =x°c* (0, 0), 9, 99…

A: We need to find points where tangent is horizontal.

Q: Find the slope of the tangent line to the graph of the function at the given point.    f(t) = 3t −t2…

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Q: Estimate f(5.06) for ƒ as in the figure. y y = f(x) (10, 4) Tangent line (4, 2) (Give your answer to…

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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: Find the point on the graph of f(x)=ex for which tangent line to the graph there passes through the…

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Q: Find the point(s) on the graph of f where the tangent line is horizontal. (If an answer does not…

A: We have given function fx=xx2+9 We have to find out the points where the tangent line is horizontal…

Q: The slope of the tangent line to the graph of the function y = 8vT- 4 at (16, 28) is O 1.00 O -2.25…

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Q: 13. Given the function f(x) = 4 + x? %3D Find the 8x + 2 equation of the tangent line to the curve 1…

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Q: The slope of the tangent line to the graph of the function y = 4/T-6 at (36, 18) is | 0 36.00 O0.33…

A: slope is the first derivative of the function with respect to x.