The line y=x+k is tangent to the graph of y = x²-2. Find the value of k. 17 (C) 16 33 15 (A) 16 31 (B) 16 (D) -- - 16

Q: 2 Find an equation of the line L, where L is perpendicular to y =x and passes through the point…

A: Given a Line L which is perpendicular to  y = (2/3)x  at point (3,2)  Equation of line L is…

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Q: Q3 The curve intersect with X-Axis y=x x=0 y=0 O y>0 O

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Q: Q4) Determine slope of a curve y = x* +1 at x = 1

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Q: 1.) Find the slope of the curve y^2=3x+ 1 at the point ( 1/3,0) Draw the graph of the Curve.

A: Slope of curve is given by its derivative   Given curve, y2=3x+1

Q: he slope of the line tangent to the curve y = x -8x3 + 22x2 - 24x +9 at x=1 is (a) -2 (b) 2 (c) 0…

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Q: (a) If g(x) = x2/3, show that g'(0) does not exist.(b) If a ≠ o, find g'(a).(c) Show that y = x2/3,…

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Q: 8. Given the relation x² – xy +y³ = 7, determine the slope of the line tangent to the curve at…

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Q: 2 Find the distance from the point B = [0 5 0 to the line 1 +t| 0 -3

A: Here we will find the distance between the given point and line,

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: Q3) Determine slope of a curve y = x + 2 at p(1,3) and q(3,11)

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Q: Find the slope of the curve Y = Vx at the point P (4, 2).

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Q: - Find all k so that the graph of y = Er2 kx - + 9 is tangent to the x-axis. 4

A: We have to find all values of k such that the graph of this function will have tangent as x axis.…

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: Q2: Find the points on the curve y 2x3 -3x2 -12x + 20 where the tangent is a. perpendicular to the…

A: Curve y = 2x3-3x2-12x+20 To find the points on the curve y where tangent is   Perpendicular to the…

Q: 4. What is the slope of the curve of f(x) = v2x + 1 at x = 4? а. 3 b. - с. d. ! e. None of the above

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Q: 8. For the graph of the linear function H(z) = -4z + 3, the slope is %3D and the y-intercept is

A: Consider the given equation as Hz=-4z+3

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: Find the values of k for which the line y+ kx – 2 = 0 is a tangent to the curve y = 2x? – 9x +

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Q: S(r) = 2r2 +3r+2 What is the y-intercept of the tangent line that intersects the function at I= 2?

A: f(x)=2x2+3x+2

Q: 8. The line y = -4x + b is tangent to the curve f(x) = 2x² – 8x + 12. Determine the value of b. %3D

A: The equation of the tangent at a point h,k on a curve y=f(x) is given by, y-k=f'(h) (x-h)

Q: 3) Find all points (x, y) on the graph of x2/3+y²/3 = 8 where the tangent lines have slope –1.

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Q: find the length of the curve on the given interval: y = 4/3 (x+1) ^ (3/2), [0,3]

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Q: nd the equation of a curve whose slope at any point is equa d which passes through the point ( 2,9…

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Q: Grien that the graph of fx) passes throush the point (7,4) and that the slope of its tanger line at…

A: Given problem:- Given that the graph of f(x) passes through the point (7,4) and that the slope of…

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: 2. Find the slope of the curve at the point indicated. a. y = 5x – 3x²,x = 1 x-1 b. y =,x = 0 x+1

A: Find the slope

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Q: 2) Find the equation of the curve whose slope at any point p(x,y) is m =x (x +5)² and passing…

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Q: 5. Find the slope for f(x, y) = xey at P (2,0) in the direction of the line from M(2,0) to N(-1,2)

A: To find the slope for function f at point P in the direction of the line from M to N.

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: The slope of the curve y = (5x² + 8x + e)eje at x = 0 is

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Q: The line y = ax + b is tangent to the graph of y = x3 at the point P = (-3, -27). Find a and b.

A: The line y = ax + b is tangent to the graph of y=x3 at the point P=-3,-27. we have to find the…

Q: 5. Find the slope for f(x,y) = xey at P (2,0) in the direction of the line from M(2,0) to N(-1,2)

A: A scalar function f(x,y) is a rule that is used to associate a number or quantity with a particular…

Q: Find a point on the graph of /(x)=6x-15 where the tangent line is parallel to the line y+x=1. Seloct…

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Q: Find the points on the curve y 2x^3 -3x^2 - 12x + 20 where the tangent is a. perpendicular to the…

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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 the slope of the following curve at x = 4. 1 y = х- 2 The slope of the given curve at x= 4 is

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

A: Given-  Consider the graph y=7xx-2. To Find- The points on the above graph , where the slope of the…

Q: 9. Find the point on the curve y x² closest to the point (0, 1).

A: As per bartleby guidelines we only give first question answers.

Q: 7x Find the points on the graph y = x-2 - where the slope of the tangent line is parallel 28x +50y –…

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Q: Let k (x) = 2x and consider its graph. %3D Find the slope of the secant line of this curve…

A: A secant line is a straight line joining two points on a function. It is also equivalent to the…

Q: What is the slope of the tangent line that touches the graph of In y + e2¤¬1 = 3y – 4x at the point…

A: Given query is to find the slope of the tangent.

Q: 49. Find the slope of the curve y = (2x2 - x+ 3)(x + x+1) at (1, 12).

A:

Q: 2. Consider the function y(x) = 5x² over the interval [0, 10]. (a) If the points A(0, y(0)), B(5,…

A: As per guidelines, we will solve first three subparts; Given function is yx=5x2  over the interval…

Q: 11. Find the slopes of the curve y y?- r2 at the two points shown hcrc. 2 (V3 = y2 - x?

A: we have the curvey4=y2-x2

Q: Find the y-intercept of the line tangent to y=(x' – 4x² + 8)en * at x = 2. а. -21.032 b. -2.081 с. 0…

A: Topic:- Application of Derivative  Correct option = d

Q: Q2: Find the points on the curve y 2x3 -3x2 -12x + 20 where the tangent is a. perpendicular to the…

A: y=2x3-3x2-12x+20

Q: Q2)B/ Find the points on the curves y(X) given by y = x - 6x? + x+3 where the tangents are parallel…

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