49. rınd an equation for a line that is tangent to the graph of y = e and goes through the origin.

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: Estimate the slope (slope rise/run) of the tangent line to the curve. N 3 4 6 N D-

A: Graph of a curve is given as- We have to determine the slope of tangent line to the curve.

Q: b. If B(x) = /g(x), what is the equation of the tangent line drawn to B(x) when x = 1? %3D

A: b) if B(x)=g(x)we have to find the equation of tangent line drawn to B(x) when x=1   differentiate…

Q: For what point on the curve of y=5x^2+9x is the slope of a tangent line equal to -21?

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Q: 1. What is the slope of the tangent line to the curve f(x) = 5a2 - e* - e, at a = -1? (A) –10 e (B)…

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Q: 12. Determine the y-intercept of a line with a slope of -2 that is a tangent to the curve: y =…

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Q: Find the equation of the line that is tangent to y = 8– x* at x = 1. Use vour answer from the…

A: Given:       y = 8 - x4    At x = 1

Q: Where on the curve y = (361 +x²)¯ does the tangent line have the greatest slope? NOTE: Enter the…

A:

Q: Assume y = 3 · 5* is the equation for the blue line shown in the graph below, and that the black…

A: The equation of curve is:  y=3·5x

Q: For what values of a and b is the line – 2x + y = b tangent to the curve y = ax? when x = 3? - - a =…

A: Given: To determine the values of a and b is the line -2x+y = b tangent to the curve y=ax2 when x =…

Q: .3 ax when x= For what values of a and b is the line -3x + y = b tangent to the curve y 4? b

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Q: 3. At what point(s) is 9 the slope of the tangent line to the curve y=xr' - 3x'.

A: Given: Curve y=x3-3x2 Slope is 9 The slope of the tangent to the curve is given by dydx.

Q: 10 Calculate the slope of the secant line through the points on the graph where x = 1 and x = 3.…

A: f'(c) = [f(b) – f(a)]/(b-a).

Q: 2. (6 marks) Find the slope of the line tangent to f: y = 2/5x + 1 at the point (3,8). c) - D) E) -…

A: Answer and explanation is given below..

Q: 38. Find an equation of the tangent line to the curve at the given point. y = xe-x?. (0,0)

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Q: 2. At what point is -3 the slope of the tangent line to the curve y x+3x -7.

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Q: 17. Given the curve y = 3x³ – 4x² +7, find the slope of the tangent line at the point when x= 3.

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Q: What is the slope of the tangent line to the graph of y=x^4-3x^2+x+2 at x=-1? [a] What is the…

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Q: DO NOT include the variable in your answer. Given the graph off'(x) below, what is the slope of the…

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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: What is the slope of the line tangent to the curve x2 + y2 = 1 and parallel to the x-axis ? OA…

A: what is the slope of the line tangent to the curve x2+y2=1 and parallel to the x axis

Q: 13. Find the equation of the line with slope equal to 1 and normal to the curve x2 + 3xy +y? = 5 at…

A: GIVEN: curve is x2 + 3xy + y2 = 5

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: 40. For what value(s) of x does fAx) = (x - 4x – 5) have a horizontal tangent?

A: 40.) f(x) = (x² - 4x - 5)³  So, f'(x) = 3•(x² - 4x - 5)²•(2x - 4) So, f'(x) = 6•(x² - 4x - 5)²•(x -…

Q: The slope of the line tangent to the graph ofy= xe^ at x =In 2 is A 2 In 2 2 In 2+2 B.

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Q: What is the slope of the tangent line to the curve y=v(x-2) at the point (6,2)? 1/2 (E) None of the…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 5x What is the slope of the tangent line to the curve y = at the point (2,2)? x2+1

A: Find the slope of the tangent line.

Q: Solve Find the values of x where the tangent line is horizontal. fめ =(x^-q)? 2. 9

A: To find the points at which the tangent line is horizontal we need to find at which point the slope…

Q: 2. Find the equation of the line that is tangent to the circle x + y = 25 at the point P(3,4)

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Q: 8 17

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Q: 8. Find the constant "k" such that the slope of the tangent to y = 12e-2.3x+k is equal to -4 at x =…

A: 8. Given Data: The equation of the line is: y=12e-2.3x+k The slope of the tangent to the given line…

Q: 9. Find the points on the graph y = 7x - where the slope of the tangent line is parallel to x-2 28x…

A: To find- Find the points on the graph y = 7xx - 2 where the slope of the tangent line is parallel to…

Q: Q5) find the slope of tangent to the curve at the given points: y? + x? = y* - 2x at (-2, 1) and…

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Q: At which labeled point is the slope of the tangent line greatest? > 20 15 10 R -5 -2.5 2.5 -5 -10…

A: According concept of application of derivatives in order to solve the given problem.

Q: Find the equation of the line tangent to the curve f(x)=x+ at the point (5, 26/25) 1 %3D

A:

Q: 5) Find the equation of the line tangent to 9x? + 4y³ = 76 at x = 2.

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: -4 The number of tangents to the curve of y=- x³ + 6x? which have a slope of 8 is:

A:

Q: I need a n easy to remember formula to find the slope of a tangent line.

A: If the given curve is y=f(x) and we have to find the slope of tangent to the curve at the given…

Q: 13. Show that there are no tangents to the curve y = can be concluded about the graph? 2x+1 4x +3…

A: We have to prove that negative slope is not possible for graph.

Q: What is the value of the slope of the tangent line to the curve *²– 2xy – 2y=1 passing through the…

A: As we know that; The slope of the tangent line to the given curve is equal to the first derivative…

Q: 15.)) What is the slope of the line tangent to the curve y +2 = - 2sin y at the point (2, 0)? 2 (A)…

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Q: 9. If h(1) = 2 and h′(1) = 3, find an equation of the line tangent tothe graph of h at x = 1.

A: We know that for a function hx, the slope of function is represented by h'x. Now, slope m of the…

Q: For what value of the constant k is the line x+y=k normal to the curve y=x^3

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Q: find the slope of the line tangent tothe graph of ƒ(x) = 5 at P(1, 5).

A: We know the slope of the tangent line to the curve y = f(x) is dy/dx.

Q: 4. If the slope of the tangent line to the curve at the point (-1, 2) is 4, find a. " y = ax? +3 O…

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Q: 2. Consider the graph of the equation r+ry+y- 5. Find the slope of the tangent line at the point…

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