45-50. Tangent lines Carry out the following steps. a. Use impl a. Verify that the given point lies on the curve. b. Determine an equation of the line tangent to the curve at the given point. b. Find the 58. xy /2 45. sin y + 5x = y²; (0,0) 46. x' + y = 2xy; (1, 1) T 60-62. Multi УД yA a. Find equai of x. b. Graph the 60. x + y3 1 -1 -2 47. x + xy + y² = 7; (2, 1) 48. x - x²y + y = 1; (-1, 1) YA YA -1+ 1 62. 4x = y(4 . (cissoid of D 25 49. cos (x- y) + sin y = V2; 50. (x² + y?)² =xy; (1, 2) 2,2 4 TT T 2'4 УА 63. Witch of Agnes a. Use implicit b. Find equation when y = 1. c Solve the equa pression fory d. Verify that the

Q: Find the equation of the tangent line to the curve (a lemniscate) 2( +y) = 25(x - y) at the point (-…

A: 2(x2+y2)2=25(x2-y2)2(x4+y4+2x2y2)=25x2-25y22x4-25x2=-25y2-2y4-4x2y22x4-25x2=-25y2+2y4+4x2y2different…

Q: Find equations of the tangent line and normal line to the given curve at the specifie 3x y = (1, -)…

A:

Q: 134 Find the slope of the tangent line to the graph at the given point. Cissoid: 4y2 – xy2 = x³ %3D…

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Q: 8. Find all points on the graph of y = (x + 3)² at which the tangent line is parallel to the line…

A: The given graph is y = (x +3)2 To find the points on the graph at which tangent is parallel to the…

Q: 59. Find an equation for the tangent line to the graph of y = xV2x + 3 at the point (3, 9).

A: Given that the function is y = x2x+3 To find the equation of tangent line at point (3,9). To find…

Q: 8. Find the equation of the line tangent to the graph of y tan (sin) when z= V2/2.

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Q: Find an equation of the tangent to the curve at the given point by both eliminating the parameter…

A:

Q: Find the equation of the tangent line to the curve at (2, 1): x^2 + 4xy + y^2 = 13

A:

Q: 1. Find an equation of the tangent line to the curve  x^2 + y +y^2 = 13 at the point (-1, 3). ?

A:

Q: Find the equation of the tangent line to the curve y = 2 tan a at the point (4, 2). The equation of…

A:

Q: 1. Find the slope of the given curve at the indicated point. y= x* – 3x? + 3 at (1,1) 2. Find the…

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

Q: The curve y=ax^2+bx+c passes through the point (1,9) and is tangent to the line y=3x at the origin.…

A:

Q: 4. Find the equation of the tangent line and normal line that passes through the circle (x – 2)² +…

A:

Q: 6. Find the equation of the tangent line and the equation of the perpendicular line to the curves at…

A: By applying the applications  of derivative concepts we will find slope of the tangents to the…

Q: (b) Find the equation of the line normal to the tangent at the point (1,4) on the curve x'y+ xy =…

A:

Q: 1. Find the equation of the tangent line to the curve at the indicated point. y = (1 + x) cos x, (0,…

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Q: 3) Find an equation of the tangent line to the graph of y = (z + 4)² at z = 4.

A:

Q: 11. Find the equation of the tangent line at (2, 1) given In y = 4y² – x³ +4

A: 11. The equation of the curve is given by lny = 4y2-x3+4 To evaluate : The equation of the tangent…

Q: Consider the following curve. 1 + x y = 4 + ex Find y'(x). -ex + 4 (4+ e*)² y'(x) = ot2 1 Find an…

A: According to the problem, we have

Q: 30. Find the points on the curve y = tan x, -7/2 <x< T/2, where the tangent is parallel to the line…

A:

Q: #1 Find the equation of the tangent line to y:R @ x- -4 Provide answer in point-slope form dy %3D

A: Differentiate at given point then use equation of line

Q: (1) Find the equation of the curve given the slope of its tangent line (mr) and the point P(a,b)…

A: Solution is below

Q: 34 10- Find equation of tangent line at the point (0, T) for Cos (7x- y) %3D 4y

A: Solved below

Q: 4. Find the equation of the tangent line to the curve y = 4+ e2 sin at the point (0, 5).

A: First find the slope at given point with the help of derivative than write the equation of tangent…

Q: Find the equation of the tangent line to the curve (a lemniscate) 2(x + y°)´ = 25 (x² – y²) at the…

A:

Q: Find the equation of the curve which passes through (1,8) and at any point (x.y) on th curve the…

A: To find: Equation of curve which passes through (1,8) and at point (x,y) the tangent line has slope=…

Q: 13. Find the equation of the tangent line to the curve x'y' + 4.xy = 12y at the point (2,1).

A:

Q: 4) Find a formula for the line tangent to the curve at the point (4,4).

A:

Q: 12. What is the equation of the tangent line to the curve y = x² – 2x + 1 at point (3,4)? a. у%3D 2х…

A: Since the student has mentioned to solve question numbers (12) and (13), but we can solve only one…

Q: 11. Find the equation of the tangent line to the curve 2 sin(ry) = x at the point (1, 7)

A: This curve is given by sin(xy)=x/√2                  sin⁡(xy)−x/ √2. =0  Inspecting the gradient at…

Q: II FIND THE EQUATION OF THE TANGENT LINE AND NORMAL LINE TO THE FF. CURVES AT TH INDICATED POINT. 4.…

A: we only solve one problem at a time, please upload it one by one

Q: . Find an equation for the tangent to the curve x sin 2y = y cos 2x at the point (T/4, 7/2). %3D

A:

Q: VI find the tangent lines to the curve y= x-14x+17x+40 perpen dicular to the line x-7y = 4

A:

Q: Find an equation of the tangent to the curve at the given point by both eliminating the parameter…

A: The given equations at given point (6,4) are First solve the problem by method of elimination. Now,…

Q: 4. Find the equation of the tangent line to the curve 2xy+r sin y = 27 at the point (1.%).

A:

Q: 14. Find the equations of the tangent lines to the curve y = x- 6x perpendicular to the line x- 2y +…

A:

Q: 1. Find an equation of the tangent line to the curve y = Vx at the point (1, 1).

A: Question no. 1Given,            A n equation of the tangent line to the curve y=x at the point…

Q: II FIND THE EQUATION OF THE TANGENT LINE AND NORMAL LINE TO THE FF. CURVES AT THE INDICATED POINT.…

A: We know  ,        The equation of tangent is :              Y - Y1 = m ( X - X1)  The equation of…

Q: 8. Consider the curve given implicitly by -x2 + 3xy+2y² = 2 y. 8.1. Verify that (1, –1) lies on the…

A:

Q: 1- Find the equation of the tangent to the 2(x2 + y²)2 = 25(x² - y?) at (3,1) %3D

A: According to guidelines we should have been able to do only one question at a time #1

Q: 5-The tangent line to the curve y=vx for x-16 is

A:

Q: (b) Find the equation of the tangent line to the graph of the equation sin-"(x + y) = 5* 2 at the…

A:

Q: 1. Find the equation of the tangent line to the graph of In(x + y) = 4y² + x*y at the point (2, -1).…

A: Solve the following

Q: 3. Find Hhe to the (1,2) slope of the tangent live r=2-sin@ at the point curve

A: Then we plug this in the slope formula of the polar curve

Q: Find an equation of the tangent line to the curve at the given point by both eliminating the…

A: Given that      x = 6 + ln(t) , y = t2+7 ,(6,8) Here we have to find an equation of the tangent line…

Q: 1. Find the equation of the tangent line of the curve cot (x + y) – sin (x - y) = 1 at (0, n 2 ).

A:

Q: 8.2. Find an equation for the tangent line to this curve at (1, -1). 9. Suppose 4 x² + 9 y² = 36…

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Q: 4. Find the equation of the tangent line to the curve at the specified value of the parameter: x =…

A:

Q: 6. Given the curve y = x/x at what point on the curve is the tangent parallel to the line 4x – y + 6…

A: We will use differentiation and slope of line to solve this.

Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.