How fnd the pistance from Faint (1,3) and Line y =4

Q: Find the shaded area of diagram that shecked by curve y = x2 + 2x and the line y = -x.

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Q: Differentiate (x-2)2+(y-3)2=9 at (7/2, ((6+3√3)/2)). Then use it to determine the equation of the…

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Q: y = vx² – 9

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Q: Use implicit differentiation to find the equation of normal line to the circle y2 + x2 = 1 at the…

A: The solution for the above question is as shown below.

Q: Find the points on the curve y = 2x + 3x2 - 12x + 7 where the tangent line is horizontal. (х, у) %3D…

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Q: Find the second derivative of the funcion. y%3D

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Q: Find an equation of the normal line to the curve  y = sqrt(x)  that is parallel to the line  4x +…

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Q: Find slope of the tangent line to the elipse x^2/36 + y^2/16=1 at the point (x,y) slope=

A: Given ellipse equation is x236+y216=1 find the slope of the tangent line at the point (x,y)

Q: Use the sign of the derivative to establish the inequaltiy In(1+x) > I -,V> 0. 2

A: See the attachment

Q: . Find the linear approximation of the function f(x) =  sqrt  (1-x) at a= 0 and use it to…

A: We find f(0) and f'(0) first  so the point is (0,f(0))=(0,1) and slope of the tangent= f'(0)=-1/2

Q: Compute for the interval [2, 3], where y = 6x – 1. Дх Ду 6 Ax What is the slope of the tangent line…

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Q: Use the diagram at the right to find m24. R tangent line

A: Tangent chord angle is half of the arc angle.

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

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Q: as y y = f(x) (10, 4) Tangent line (4, 2) ive your answer to three decimal places.)

A: G

Q: At what point on the curve y = 9 + 2ex − 6xis the tangent line parallel to the line 6x − y = 4?

A: The curve equation is y=9+2ex-6 To find point on curve tangent to curve and parallel to line 6x-y=4

Q: State the theorem for Second Derivative Test for f (x, y).

A: The second-derivative test for maxima, minima, and saddle points has two steps. 1. Find the critical…

Q: What is the slope of the tangent line to y = 4x at x = 0?

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Q: Calculate the length of the tangent line, normal line, sub-tangent and subnormal from: a. 4x² + 9y =…

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Q: Calculate the derivative.

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Q: Find the points on the lemniscate where the tangent is horizontal. 8(x2 + y2)2 = 81(x2 − y2)

A: The equation for the lemniscate

Q: Find the slope of the tangent line to the curve — 4г* + 4гу + 4у — 92 at the point ( – 1, 3).

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Q: Estimate the slope of the tangent line at the point indicated f(x) = ex :   x=0

A: Find out the slope of the tangent line at the point indicated f(x)=ex : x=0. Slope of the tangent is…

Q: Find the derivative of the function. F(0) = arcsin Vsin(30) F'(8) =

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Q: Estimate the slope of the tangent line at the point indicated y(x) = 1/ (x+2) ;        x = 2

A: Solution:Given   y(x)=1x+2To find the slopeFormula:slope=dydxddxxn=nxn-1

Q: Estimate 291/5 using a linear approximation.

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Q: Compute Δy Δxfor the interval [4,10], where y= 2x-6   ________   What is the slope of the tangent…

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Q: Find the derivative us ing the defini tion O fx). %3D

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Q: Compute y / x for the interval [2, 5], where y = 4x - 9. What is the slope of the tangent line at x…

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Q: 115th derivative of f(w) = cosh w %3D 2

A: Finding the nth derivative.

Q: Find the points on the curve y = 2x + 3x2 – 12x + 7 where the tangent line is horizontal. (х, у) %3D…

A: Hhxd

Q: Find the points on the curve y = 2x3 + 3x2 12x + 8 where the tangent line is horizontal. (х, у) %3…

A: Given curve is : y = 2x3+3x2-12x+8 Tangent line is horizontal at points where slope=0

Q: Find the tangent to y = sqrt(x2 - x + 7) at x = 2.

A: Given: -

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 derivative, but ansuer do not simplitty your Y=(x=+X+7)(Vx-2VX+3)

A: Given, y=x2+x+7x3-2x+3 By using f·g'=f'g+fg' Here f=x2+x+7,  g=x3-2x+3 ⇒ddxx2+x+7…

Q: Estimate the slope f'(3.5) for f (x) = sin(3x) using: a. Forward difference approximation with h =…

A: f(x)= sin3x x y y1 y2 y3 y4 3.3 -0.1557             -0.193       3.5 -0.3507   0.0139…

Q: Use the linear approximation to estimate

A: In this question, by using a linear approximation to evaluate the value of the expression using…

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 derivative using Implicit differen tiation 3 %3D 3xy? 2

A: Given: x3+y3=3xy2 We have to differentiate above equation using implicit differentiation. In…

Q: Use implicit differentiation to find 8Vỹ = x- y (4+ Vy) - Vỹ (wrong)| 2(4 + Vy)3 dy dx

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Q: the side of a sqaure is 10 cm. find the approximately, by using differential, the increase in the…

A: Given that side of a square a is 10cm and it is increased by 0.02cm.

Q: Find the points on the curve y = 2x3 + 3x2 – 12x + 6 where the tangent line is horizontal. (х, у) %3…

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Q: Find an equation of the tangent line to the curve  y = x * sqrt(x)  that is parallel to the line…

A: Given,curve is y = xx that is parallel to the line y= 6+9x

Q: Find the slope of the normal line to curve x=4sint, π y=cos2t when t=-

A: Given that x=4 sin ty=cos 2t Find the slope of the normal at t=π4 find the slope of normal and then…

Q: Find the derivative of the function. Vs - 3 f(s) = Vs +3 %3D

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Q: Find the slope. g the tangent Line to FCQ)= X²-3x+1 When =3

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Q: at dz = (4자) 424-4%.

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Q: y 1-

A: The solution is given below in the next step:

Q: Find the tangent line at (-1,3) to the curve y* – 2x²y' – 27=0.

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Q: Find the area bounded by the curve 4 square units 8 square units 16 square units 10 square units =…

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Q: What is the slope of the line tangent to the graph of h(x)=sqrt(x) at x=3?

A: I have given the formula for finding a slope of tangent line below the proof  And it is used in this…