Calculate the slope, if it exists, of each of 3° the following lines: y (D) 1° y (D) x' A(3;3) В(-1;1) x' -1 0 4° y (D) a = 30° 2° y 5° y (D) TA a = 120° (D)

Q: Find an equation of the tangent to the curve f(x) = /x + 10 that has slope . Select one: Ay=x…

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Q: 4. Find the point(s) on the curve of y=,x+x+2for which the slope of the tangent line is zero. (5)

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Q: -1 What is the slope of the line tangent to the graph of y at x = -2?

A: Find the derivative of y to obtain the tangent as shown below: y'=ddxtan-1xy'=1x2+1

Q: At what points does the equation of the line tangent to the curve y=1/x have a slope equal to −1?

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Q: 25. Find equations of all lines having slope −1 that are tangent to the curve y 1/(x − 1). = 1/4…

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Q: Find the point(s) on the graph y = x3 where the line through the point (4, 0) is tangent to y.

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Q: If y=mx+b is the equation of the tangent line the curve y = x- 3x +5, which is parallel to the…

A: We will solve the problem

Q: Determine the equation of the line tangent to the curve (x+y)^7 = x^7 + y^7 (x+y)  at (−1,1).

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Q: At what point on the curve x 3t2 + 1, y = t3 - 5 does the tangent line have slope ? (х, у) -

A: We have given curve as x=3t2+1         ⋯⋯1y=t3-5           ⋯⋯2 From the equation (1) and (2), on…

Q: Find the slope of the tangent line to the curve g²y -y = 6 at the point (1, 3). -18/5 0. -3 18 -5/18

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Q: At what point on the Curve x = 3t2 + 4, y = t³ - 6 does the tangent line have slope (х, у) %3D

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Q: At which points on the curve y = 1 +°40x³ – 3x³ does the tangent line have the largest slope? | (x,…

A: Maximize slope

Q: Assume every secant line of the curve y = f(x) has slope at least 3. Then every tangent line of the…

A: Given: Every secant line of the curve y=fx has a slope atleast 3.Then every tangent line of the…

Q: Find the equations of the tangent and normal lines to the curve y=x²-2x-3 that is parallel to the…

A: The given equation of the curve {parabola} is y=x²-2x-3  and the given equation of the straight line…

Q: -1 Where on the curve y = (256+ x²)¯* does the tangent line have the greatest slope? NOTE: Enter the…

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Q: B. Find the slope and the equation of the tangent line to the curve 1. y = 4 - 3x at (- 1, 1) 2. y…

A: We need to find the slope and the equation of the tangent line tothe following curve:3. y=3x2+2 at…

Q: At what point on the curve x = 9t2 + 7, y = t - 5 does the tangent line have slope ? (x, y) =

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Q: The curve y = a x 2 + b x + c passes through the point ( 1 , 2 ) . The line y = 2 x + 1 is tangent…

A: Given that the curve passes through a point.

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: At which points on the curve y = 1 + 40 x3  - 3 x 5  does thetangent line have the largest slope?

A: The given equation of the curve is y=1+40x3-3x5. The slope of this given curve is given by its…

Q: Determine the slope of the line tangent to y = x+1 at x = 1 3x2

A: y = (x+1)/3x2 slope = dy/dx dy/dx = (3x2(1) - 6x(x+1))/9x4 slope at x=1 dy/dx = (3 - 6(2))/9 dy/dx =…

Q: What is the slope of the line tangent to the curve defined by y +xy-x 11 at the point (2, 3)

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Q: At which points on the curve y = 1 + 60x3 - 2x does the tangent line have the largest slope? (х,…

A: Given,           y=1+60x3-2x5

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: 2. What is the slope of the line tangent to the curve 8x³ – y² = 4 at the point (1,-2)? 3. What is…

A: Since first subparts question statement missed. Answer 2 and 3

Q: Determine slope of a curve y = x³ + 1 at x = 1

A: Given,           The slope of the curve y=x3+1  at x=1.

Q: Find the slope of the line tan gent to the curve of 2y³ + xy + 1 = 0 at the point (-3, 1) .

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Q: Find an equation of the line tangent to y = xsin x at the point x = 1.

A: The given equation is y=xsinx.

Q: Find an equation of the form y = f(x) for a curve with r-intercept 2 whose tangent line at any point…

A: Here, to find the equation of the curve of the form y=f(x) with x-intercept 2. That is curve passes…

Q: How do the slopes of the lines tangent to the graph of y = tan-1 x behave as x S ∞?

A: The slope of the line tangent to the graph of y=tan-1x  at a point is the derivative of the function…

Q: Find the slope of the tangent line to the curve 3 a -3 ry-3 y = -33 at the point (-2,-3). b) o d) e)…

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Q: b) Find equation of line passing the point ( 4, -1) and normal to 3y+ x=1. ||

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Q: Find the equation of the tangent line to the curve y=5sec(x)−10cos(x)at the point (π/3,5). Write…

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Q: 2. Find the equation of the tangent line (in slope-intercept form) to the curve y=xvx that is…

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Q: Differentiate implicitly to find the slope of the curve at the given point. 3-y3=D5; (3,5) %3D 0 2…

A: We have to find the slope of the curve at the given point. For this we will find derivative dydx…

Q: At what point on the curve x = 9t2 + 3, y = t3 – 2 does the tangent line have slope ? (x, y) =

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Q: Find equations of all lines having slope -1 that are tangent to the curve y = 1/(x - 1).

A: Given, y=1x-1 Slope,m=-1

Q: At what point on the curve x = (x, y) 6t² + 5, y = t³ - 2 does the tangent line have slope 11/22

A: This question is based on finding slope of parametric curve.

Q: 4. The slope of the tangent line to the curve y 4. is: 9 - at the point 9, The equation of this…

A: To find the slope of the tangent line to the curve, y=4x, at the point 9, 49.The  equation of this…

Q: Find the equations of the tangent and the normal at the point indicated. y = x2 - 2x at its…

A: Given that - y = x2 - 2x at its points of intersections with the line y = 3

Q: At what points on the given curve x = 2t3, y = 4 + 8t - 11t2 does the tangent line have slope 1?…

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Q: At what point on the curve x = 3t2 + 4, y = t³ – 6 does the tangent line have slope ? (x, y) = ( 3,…

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Q: Find the equation of a line normal to the curve x^2=16y at (4,2).

A: Solve the given problem.

Q: Find the values of a and b if the tangent to y = ar² + bx at (1,5) has a slope of 8.

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Q: At which points on the curve y =1 +40x3  -3x5 does thetangent line have the largest slope?

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Q: Find the equations of the tangent lines of the curve y = that have slope 1+ 2r

A: Given data:   The expression for the curev is: y=2x1+2x. The given slope of the curve is: m=2/9.…

Q: 2. What is the slope of the line tangent to the curve 8x³ - y² = 4 at the point (1,-2)? 3. What is…

A: In 2 we need to find the slope of the line tangent to the given curve at a point.  in 3 we need to…

Q: Find the slope of the tangent line to the curve defined by 9a – 8zy – y* = -18 at the point (-1,…

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Q: Find the equation of the line that is normal to the curve (y-x)2 = 2x + 4 at (6,2). %3D

A: Use equation of normal line

Q: what is the slope of the line tangent to the curve y=4x^2 + 5x +1 at the point (1,10)?

A: Slope of tangent line = dy/dx  to given curve y= 4x2+5x+1