Illustrate the line tangent to the following curves at the given points. Write your answers on a separate sheet of paper. 1. 2. 3-5.

Q: Find an equation of the tangent line to the graph at the given point. 3(x? + y?}² = 100(x² - y?),…

A: 3x2+y22=100x2-y2 3x4+2x2y2+y4=100x2-y2 3x4+6x2y2+3y4=100x2-100y2 3x4+6x2y2+3y4-100x2+100y2=0 to find…

Q: Refer to figure 12. Find the slope of the secant line through (2, f (2)) and (2.5, f (2.5)). Is it…

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Q: . Find the lines that are tangent and normal to the curve at the given point x² + y? = y* - 2x,…

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Q: Find an equation of the line tangent to each of the following curve at the given point. y + Vxy = 6;…

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Q: Can you please solve this question and show all of the steps and say the correct letter

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Q: The curve below is called a witch of Maria Agnesi. Find an equation of the tangent line to this…

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Q: What is the slope of the tangent line that touches the graph of In y +es-1 = 3y – 4z at the point…

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Q: Find an equation for the tangent to the curve at the given point. y = (x^2)+2; (2,6)

A: Given:y=x2+2 (2,6)

Q: 3(x2 + y2)2 = 100(x² – y2), (4, -2) y = Lemniscate y -4 -2 /6 (4, -2) -4 -6 2. 2.

A: This is related to equation of tangent to a curve

Q: Differentiate implicitly to find the slope of the curve at the given point. x5y5 = 32; (2, 1) O 16…

A: Hence option (b) is correct.

Q: Find an equation for the tangent to the curve at the given point. 19) f(x) = 10/x - x + 7, (100, 7)…

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Q: 33. Find an cquation for the line that is tangent to the curve y = (1-r)/(1 +r) at r = 2.

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Q: The slope of the tangent line at any point (x, y) on a curve is 2/x. If the point (9, 3) is on the…

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Q: Find an equation of the tangent line to the curve at the given point. Illustrate by graphing the…

A: Given

Q: Answer the following: a.) What is the equation of the line tangent to the curve y=x^2 at x=1? b.)…

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Q: Consider the following curve. y = 3x2 – 11x + 1 Find the slope m of the tangent line at the point…

A: Given that: Equation of curve is: y=3x2-11x+1        and point on the curve is (4,5)

Q: Find the equation of the line tangent to the curve f(x) =x + at the point (5, 26/25)

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Q: Find y' and the slope of the tangent line to the graph of (3x-2y)5 = 2y2-9 at the point (1,2). y'=0…

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Q: 3. Find the equation of the curve at every point of which the tangent line has a slope of 4.x. (a) y…

A: Slope = dy/dx

Q: 1. Which of the lines in Figure 11 are tangent to the curve FIGURE 11

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Q: Consider the following equation. Step 2 of 2: Find the slope of the tangent line at (-1, 2). 2x² +…

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Q: 2. Graph the following. Then find the points on the curve at which the tangents are parallel to the…

A: From the given problem  the eqn of illipse is  x-229+y-324=1      ...............(1) now we have…

Q: Find an equation of the line tangent to each of the following curves at the given point. x2y + y3 =…

A: Given Data : Equation of Curve x2y+y3=5 To Find: Equation of line tangent to the curve at 12,12 The…

Q: B. Find the slope of the curve at the given point. 1.) y = x? – 5 at (1, -4) 2.) y = 3x? – 4 at (0,…

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Q: Find the values of a and b for the curve x2y + ay? = b if the point (1,1) is on its graph and the…

A: The slope of the tangent 'm' at a point (x1,y1) for a curve S(x,y) Is given by dydxx1,y1 therefore…

Q: Question 2 What is the slope of the tangent line to the graph of x² - xy - 4y² + 2x + 4y = 8 at (4,…

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Q: Find an equation for a line that is tangent to the graph of y = ex andgoes through the origin.

A: To find the equation of a line that is tangent to the graph of y=ex and passing through origin.…

Q: 11. What is the y-intercept of the line that is tangent to the graph of y =-x +4x at (1, 3)? a. -2…

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Q: Use the graph shown to estimate... a) 20 the slope of the secant of the curve between x =2 and x =…

A: The slope of a graph represents the rate of change of the output with respect to the change in…

Q: Consider the following curve. x + 3 y x - 5 Find the slope m of the tangent line at the point (4,…

A: Using U/V formula for calculating dy/dx.

Q: The slope of the tangent line to the graph of the function y = 7/a – 4 at (16, 24) is -2.00 0.88…

A: Please refer the image.

Q: Determine the equation of the tangent line to the curve (x) = x/ x + 1 at X=3. 11 A 4 11 В 2/3 11…

A: Solution: Let y =f(x)

Q: The equation of the tangent line to the curve +y =64, at (6,-12) is 12 y=D (-6)+12 6. 6. 12 -6) – 12…

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Q: Complete the following sentence: The equation of the tangent line to the curve y=2/x+1 at x= is…

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Q: Find an equation of the tangent line to the graph at the given point. 3(x2 + y?)² = 100(x² – y²),…

A: Given that       the equation is 3(x2 + y2)2 = 100(x2 - y2) The point is (x1, y1) = (4, 2) We have…

Q: Find an equation of the line tangent to each of the following curves at the given point. 4x 11, 12 y…

A: The given equation of curve is y=4xx2+3                  ……(1) Now differentiate the equation (1)…

Q: The curve is given by 2 + 1), 0<x<3. 3

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Q: Differentiate implicitly to find the slope of the curve at the given point. xy +x= 2; (1,1) OB. -2 1…

A: dy/ dx =  slope at  any point (x,y)

Q: Find the point (s) on the graph of the following equation that have horizontal or vertical tangent…

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Q: Which of the following is the equation of the curve that passes through (1,3) and having the slope…

A: We want to find true option.

Q: Consider the following curve. y = 2x2 - 10x + 1 Find the slope m of the tangent line at the point…

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Q: Find an equation of the tangent line to the graph at the given point. (x + 2)2 + (y – 3)² = 37, (-1,…

A: We have to find equation of tangent line to the graph of function: x+22+y-32=37 at -1, 9 We know…

Q: Find the y-intercept of the tangent line to the curve y =/x + 3 at the point (1, 2). (a) 5/4 (b) 7/4…

A: Given curve:

Q: Consider the curve that is given by the following equation 2/3 + y7/3 = 5 Determine the equation of…

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Q: (a) Find the equation of the tangent plane to the graph of : = (1,-1,5). + ) +4 at

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Q: Find the equation of a tangent line that is tangent to the graph as stated below 3x 5y = -17 at (-1…

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Q: Find the slope of the tangent line to the graph of the equation xy + 12 = 0 at (-2, 6). A. -1.5 В. О…

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Q: For what value of x is the tangent line to the curve y= x2 -6x +5 horizonta? A -3 B C) none of the…

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Q: A. Illustrate the line tangent to the following curves at the given points. Write your answers on a…

A: A diagram is given

Q: Find an equation of the line tangent to the graph of f(x) = · 1 (2) a) at (1,1); b) at - 3, 27 c) at…

A: To find an equation of the line tangent to the graph: