2.1 Identify and sketch the graph of y = /9 – 4x². Show all the necessary points on the curve and write down the coordinate of the point on the curve at which the tangent to the curve is a horizontal line.

Q: 3. Sketch a graph of the position of an object that has an average velocity of • -5 mph for times…

A: As we know the rate of change of position  is velocity let object is moving in x direction hence…

Q: 3. Find the equation of the tangent to the graph y = xvx-1 at ( 5, 10).

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

Q: Find the points on the graph of y = x2 + 3x − 7 at which the slope of the tangent line is equal to…

A:

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: Find the equation for the tangent to the curve at the given point.

A: First find slope using y'Slope=48

Q: find (a) the slopeof the curve at the given point P, and (b) an equation of the tangentline at P. y…

A: a). Slope of the curve is the derivative of the curve at the given point. So differentiating given…

Q: 14. Sketch the following function y = x2 + 2x. %3D a) Next, find the slope of the tangent line to…

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Q: 2x Find the equation of the line tangent to the graph of y= In(3x)+- at x=1 6

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Q: Find an equation of the tangent line to the graph of y=-8x/x^2+1 at the origin and at the point…

A: To find the slope of the tangent we find dy/dx We will use the quotient rule

Q: 98. Find the points on the graph of y = 2x6 – x* - 2 at which the tangent line is horizontal.

A: Find the points on the graph of  y=2x6-x4-2at which the tangent line is horizontal.

Q: find (a) the slopeof the curve at the given point P, and (b) an equation of the tangentline at P. y…

A:

Q: At what point on the graph of y = is the tangent line parallel to the line 2x-4y = 3? (B) (5.) m…

A: Given the curve y = x2/2 we need to find the point where the tangent of curve y is parallel to the…

Q: find (a) the slopeof the curve at the given point P, and (b) an equation of the tangentline at P. y…

A: Concept: A definition of a function is that a relation from a set of inputs to a set of possible…

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 the slope of the line tangent to the graph of y = cos 3xat x = 13π/6.

A: The slope (m)  of the line tangent to the graph y=f(x) at point (x1,y1) is given by:

Q: Find the equation of the tangent line to the graph of x4y16=1 at the point (81,1/3) and at the…

A: We use slope point form to equation of tangent line.

Q: Find an equation for the tangent to the curve at the given point. y=x2-x. (-3,12)

A:

Q: Find the equation of the tangents to the graph y = x^3 + 3x^2 - 15x -20 at Ox-y-9=0 O9x-y-48 = 0 O9y…

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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: The tangent line to the graph of y 5x-x' when x 3 is y -22x +54 OB 8. y-12x +54 y=-9x+5 OD.

A: The equation of the curve is given by y = 5x-x3 To evaluate : The equation of the tangent line to…

Q: Find an equation of the line tangent to the graph of y = at the point (4, 6/2). Answer: y = 이별

A:

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: Determine the equation of the line tangent to the graph given by y = at the point x +1 (4, }).

A: To find the equation of the line tangent to the graph y=xx+1 at the point 4,25

Q: y-e-x4cos4x ស

A:

Q: Find, correct to three decimal places, the point on the curve y = 9 In x + e at which the tangent…

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Q: find (a) the slopeof the curve at the given point P, and (b) an equation of the tangentline at P. y…

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Q: Differentiate implicitly to find the slope of the curve at the given point. x2+y2 = 1; (4, 7) O 7…

A: The given equation is:x2+y2=1The point is 4, 7

Q: Find an equation for the line tangent to the graph of f(x)=4xe^x at the point (a,f (a)) for a=3…

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Q: Find the slope of the tangent to the curve y = 25* at the point (1, 32).

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Q: b) Write an equation of the tangent line to the curve x² + y - 25 = 0 at the point (3,4).

A: To find an equation of tangent line to the curve x^2+y^2-25=0 at point (3,4).

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: Find an equation for the tangent to the curve at the given point. y = x2 - 4, (2,0) О А. у32х- 8 В.…

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

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Q: Find the points at which the graph of the equation has a vertical or horizontal tangent line. 25x2 +…

A: 16y2+200x-160y+400=0 Differentiating with respect to x implicitly 50x+32ydydx+200-160dydx+0=0…

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

A:

Q: Find an equation of the tangent line to the graph of y = B(x) at x = 24 if B(24) = −1 and B ′(24) =…

A: Given thaty=B24 x=24y=B24 =-1B'24 =-14To :find equation of tangent line Solution :equation of line…

Q: Find an equation of the tangent to the curve at the given point. x 3 , y = t2 3, (3, 4)

A: Given curve is

Q: Find the slope m and an equation of the tangent line to the graph of the function f at the specified…

A:

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 equation of the line that is tangent to the graph of f(x)=3x^2−5 at x=2. You should enter…

A: The tangent line of a cure at a point is the line which touches the curve at the point, such that…

Q: Determine the equation of the tangent to the graph of the equation xy – 2x'y-3ry + 5y – 4 = 0 at the…

A: To find the equation of tangent to the given equation at (1,2).

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

A:

Q: Find the coordinates of a point on the parabola y=−x² where the slope of the tangent is 5. x+3x+4

A: The given parabola is y=-x2+3x+4 We need to find the coordinates of the point on this parabola where…

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

A: Given,            we have to find the equation for a line that is tangent to the graph of y=ex

Q: Find an equation of the tangent line to the graph at the given point. (y - 3)2 = 4(x – 5), (9, -1)…

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Q: 6. Graph the line with the equation y= jx+ 1.

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Q: Write the equation of the line tangent to the graph of the following equation at x = 0. y = In (x* +…

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Q: Determine an equation of the line tangent to the graph o

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Q: Find an equation of the tangent line to the graph of y = B(x) at x = 24 if B(24) = 0 and B'(24) = -…

A: Given,         y=Bx at x=24 if B24=0 and B'24=-14.