Find the slope of x²y=8 at the point (2,2).

Q: Find the equation for the curve in the xy-plane that passes through the point (1, -1) if its slope…

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Q: Find the slope of the secant line to the function f(x)=x3 when x=1 and x=2.

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Q: Find the equation of the line tangent to the graph of y = 4x (x - 4x + 5) at the point (2,8). y =

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

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Q: The slope of the curve y=ax3-bx2-cx-3 at x=2 is 5. If the point of inflection of the curve is at…

A: The slope of the curve y=ax3-bx2-cx-3 at x=2 is 5. If the point of inflection of the curve is at…

Q: Find an equation of the curve that passes through the point (0, 2) and whose slope is xy?

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Q: Find an equation for the line perpendicular to the tangent to the curve y = x°- 16x + 6 at the point…

A: Given: y=x3-16x+6, 4,6 we know that equation of line which perpendicular to tangent at given point…

Q: find the slope of the curve at the point indicated.

A: We need to find the slope of the curve at the point indicated, y=5x-3x2,x=1

Q: What is the y-coordinate of the y-intercept of the secant line of the square root function at x=1…

A: Here we have to find the y-intercept of the secant line

Q: Find the slope of the line normal to the curve y = x³ - 2x +1 at x = 2 -

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Q: Determine the slope of the line tangent to y = √² - 3 at x = 2 In case you need help inputting your…

A: The objective of the question is determine the slope of the tangent to the given function.

Q: Find the slope of the curve 1 at the point P (2, ;).

A: Explanation of the answer is as follows

Q: Find the slope of the line tangent to the curve 5x3 + 2x5y − y2 = 2 at the point (1,3) Write your…

A: Explantion: Given that: 5x3+2x5y-y2=2 Concept: slope of line m=dydx dxndx=nxn-1 duvdx=udvdx+vdudx

Q: Find the slope of the curve x²+y²-6x+10y÷5=0 at point (1, 0)

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Q: Find the equation of the family of curves whose slope at any point (x,y) is 3x2+4

A: To find: the equation of the family of curves whose slope at any point (x,y) is 3x2+4  We know that…

Q: Write the equation for the curve that has slope of 2y/x for each point P(x,y) on it and passes…

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Q: The slope of the curev y^2 -xy-3x = 1 at the point (0,-1) is

A: Given curve is: y2-xy-3x=1 ......................... (1) We have to find the slope of this curve at…

Q: Find the slope of the curve y=x4 at x=3.

A: Find the slope of the curve y=x4  at    x=3.

Q: Find the equation of the curve that passes through the point (8, 6) if its slope is given by dy =6z-…

A: We have to find y

Q: Find a formula for the linear function with a slope of 8 and a y-intercept value of 8. Use x as the…

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Q: Find the slope of the curve at the point where 0 = 4

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Q: ) Find the slope of the curve x +y3- 6x²y = 0 at x = 1

A: Slope of a curve: For non- linear functions, the rate of change varies along the given curve. So,…

Q: Find an equation of the curve that passes through the point (0, 6) and whOse slope at (X, y) is X/y.

A: Given that: Slope of the curve at (x, y)=xy

Q: 3. 2x − y = 4 at point (0,−4)

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Q: The slope of the curve y=x' +3x² – 6x +5 at (1,3) is -

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Q: Find the slope of the curve at the given point. y3= x3/2a-x   at (a,a)

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Q: Find the slope of * y+ Vx+ y =x at (3,1)

A: A detailed solution is given below

Q: Find the derivative. 4. y = 3x 6x - 7

A: Given  y=3x4+6x3+7 To take derivative , we apply power rule for each term  ddxan=nan-1 Derivative of…

Q: Find the points on the graph of x5/2 + y5/2= 1 where the slope of the tangent line is -1.

A: Topic:- application of derivatives

Q: Find the slope of the line normal to the curve y x3 – 2x + 1 at x = 2

A: Our Aim is to find the slope of the line normal to the curve y=x3-2x+1-(i) at x=2.

Q: Determine the equation of the line tangent to the graph of y when x = 9. 2 + VI

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Q: 14. Find the slope of the curve y = 2x3 – 3x at (-1 , 1)

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Q: What is the slope of the curve y = 1 + x^2 at the point y = 10?

A: We will solve the following

Q: Determine the slope-intercept equation of the line tangent to the graph of y = 4x^2 - 7x + 1 at x =…

A: y=4x2-7x+1 We need to Determine the slope-intercept equation of the line tangent to the graph of the…

Q: A hot air ballon is hovering 131 meters above the ground and begins to assend at a rate of 18 meters…

A: The balloon is 131 meters high. It is assending at a rate of 18 meters/second. y is the height of…

Q: Find the equation of the family of curves whose slope at any point (x,y) is   2. x/y

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Q: Find the curve y = ƒ(x) in the xy-plane that passes through the point (9, 4) and whose slope at each…

A: Given the curve y = ƒ(x) in the xy-plane that passes through the point (9, 4) and whose slope at…

Q: ]Find the x-intercept of the curve that passes through the point (0,2) and whose slope at (x,y) is…

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Q: Find the equation of the linear function f(x), that has a slope of -2 and passes through the point…

A: Given information: The slope of the equation is -2 and the line passes through the point 5,1.…

Q: Find the equation of the family of curve whose slope at any point (x,y) is 3x^2+4

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Q: Find equations of both lines that are tangent to the curve y = x3 - 3x2 + 3x - 3 and are parallel to…

A: The given curve is represented by y = x3 - 3x2 + 3x - 3 and are parallel to the line 3x - y =…

Q: Two is the slope of the curve y = 4x + x2 at what point?

A: Slope of a curve is given by m=dydx  Use this formula to solve above question.

Q: What is the slope of the line tangent to the curve  y=7cosx when x=π/4?

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Q: Find the slope of the curve y² = 3x + 1 at the point (- ,0). Draw the graph of the curve.

A: y2=3x+1 Differentiating with respect to x, we get 2y·dydx=31+0⇒2y·dydx=3⇒dydx=32y Now slope of the…

Q: The slope of curve is given as (2x + b + ) and has a value of 17 2x3 at x = 2. What is the value 16…

A: Topic   = Integartion

Q: Find equations of both lines that are tangent to the curve y=x3 -3x2+3x-3 and are parallel to the…

A: Given, curve y=x3 -3x2+3x-3 and tangent are parallel to the line 3x-y=15.

Q: Determine the equation of the line tangent to the graph of y 5 when x = 9. 2+ Va

A: Given Data The equation is y=52+x. The value of x is x9=9.   Differentiate the equation y=52+x with…