Use a tangent plane at (-8,2) to approximate the value of the following function at the point (- 7.9, 1.9): 8x2 + 3y2 – 3z = 512 Present your answer accurate to 4 decimal places.

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: 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: Find an equation of the tangent line to the curve at thegiven point.

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Q: Find the equation of the tangent line to the function h(x) = xv4 + 2x at x = 6. %3D %3D

A: Differentiate the function with respect to x to find the slope of the tangent line.…

Q: Find the tangent line approximation for V5 + x near a 4.

A: Find your answer below

Q: Find the points on the curve y = x3 + 3x2 - 9x + 8 where the tangent is horizontal. smaller x-value…

A: Explanation of the answer is as follows

Q: Find an equation of the tangent plane to the graph of f(x, y) = In(4x² – 2y2) at the point (1, 1). z…

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Q: Find the slope of the tangent line to the curve of intersection of graph of f and the plane x =2 at…

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Q: Find the slope of the tangent line to the curve. √(3x + y) + √(2xy) = √7 + √4 at the point (2,1).

A: Given: 3x+y+2xy=7+4 we know that slopem of tangent at point2,1 is given by m=dydx|2,1 so, finding…

Q: Find the slope and equation of the tangent line to f(z) = 5- 2z at a = 2 using the definition.

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Q: Find the slope of the tangent line to the curve - 3x + lay+ 3y = 199 | %3D | at the point (1, – 4).

A: We are given a curve and we need to find out the slope to the tangent line at the point (1,-4). For…

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 to the curve ((8x+9y)^(1/2))+((2xy)^(1/2))=7 at the point (2,1)

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Q: FIND THE SOPE OF THE TANGENT LINE TO 5x) AT THE POINT (x, 9(x)). 2.

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Q: Find the tangent line to the function y = x^2 at (1,1).

A: The given function is: y=x2 Now differentiate it with respect to x: y'=ddxx2y'=2x Put x=1 in y' to…

Q: What is the equation of the tangent line to the function f(x) = a? + 5x at the point (1, 6)?

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Q: is the equation af tangent line at X=/ y = mx+b. to the giaph of f c) =x² -x at x=/ m%= b.

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Q: Find the slope of the tangent line to the curve 3a2 – 3xy – 4y3 = 56 at the point (2, – 2).

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Q: Find the equation of the tangent plane to z = In(x²y) – x/ỹ at (-,4).

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Q: Find the tangent plane to the equation 4x2 + 3y2 – y at the point (-4,-1,68) Z =

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Q: Find the points on the curve y = 2x' + 3x² – 12x + 1 where the tangent is horizontal. -

A: As per the instruction, we will be answering the first question. For (51), Given: y=2x3+3x2-12x+1.…

Q: Find the slope of the tangent line to the curve 2.2 2xy - 3y = 89 at the point (1, 3).

A: Given curve,

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 eauation of the tangent line at (2,1) of 4x"+ 8 } - 25Xy+4y= 0?

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Q: Find the slope of the tangent line to the curve V3x+y+v2ry = Vi+v4 at the point (2, 1). The slope is

A: To find the slope we need dy/dx

Q: Find the slope of the tangent line to the curve 4x^2+1xy+3y^3=240 at the point (3,4)

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Q: Find the points on the curve y = x + 3x2 9x + 1 where the tangent is horizontal. %3D smaller x-value…

A: The given function is y=x3+3x2-9x+1

Q: Find the points on the curve y = 2x3 + 3x2 – 12x + 3 where the tangent line is horizontal. (x, v) =…

A: Solve the following

Q: |Find the point(s) on the curve f(x) = x² where the tangent is parallel to the line 4x-y-1= (

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Q: Find the eguation for the tangent line to y = fcx) at the specified point. fcx)= xe-X ; where X=O ノ

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Q: Find the equation of the tangent line to f(x) = 8x² – 5x – 40 at (3,17). %3D

A: Solution of the problem as follows

Q: Find a curve in the xy-plane that passes through the origin and for which the tangent at (x, y) has…

A: Tangent is the line that just touches the curve at a single point. Derivative of the curve at a…

Q: Find the points on the curve y = 2x3 + 3x2 – 12x + 1 where the tangent line is horizontal. (х, у)…

A: Solution ) given f(x) = y = 2x3 + 3x2 - 12x + 1 f'(x) = 2 × 3 × x3 - 1 + 3 × 2 × x2 - 1 - 12 + 0…

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 the slope of the tangent to the curve r+ 2xy + y = 16 at (1, 3). The slope is VEnter undof if…

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Q: Find the slope of the tangent line to the curve 4.x + xy – 4y° = 37 | at the point (3, – 1).

A: Formulae: 1.d/dx(f(x).g(x))= f'(x) . g(x) + g'(x). f(x) 2. Slope of any curve, f(x) =m= d/dx{f(X)}

Q: Find an equation of the tangent plane to the graph z = Væ + y³ nt (8, 2, 4).

A: We know that equation of tangent plane to the graph z=f(x,y) at point (a,b,c) is…

Q: Find an equation of the tangent line to the function y 3x2 at the point P(1, 3). = Soluti

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Q: Find the slope of the tangent line to the curve (r² + y² – 1)3 – r²y³ = 0 at the point (–1,1).

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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: Find f(4) and f' (4), assuming that the tangent line to y = f(x) at a = 4 is y = -6x + 2. %3D

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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 all points on the curve y =x3 +-x* + 6x² where the tangent is horizontal. 3

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Q: Find the slope of the tangent line to the curve y = 1/√,x at the point where x = 4.

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Q: Find the slope of the tangent line to the curve 1x^2+1xy+4y^3=8 at the point (−3,−1)

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Q: tangent

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Q: Find the tangent plane to the equation 5e* бу at the point (12, 24, 5) Z =

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Q: Find the points on the curve y = x3 + 3x2 9x + 4 where the tangent is horizontal. smaller x-value…

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Q: Find the slope of the tangent line to the curve 1x^2+1xy−2y^3=160 at the point (−4,−4)

A: The objective of the question is determine the slope of the tangent linen to the given curve.

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.