Problems 30 - 31, find the equation of the tangent line to each graph at the point (1, 0). 30. y = In x? 31. y = In Vx

Q: 2 at the point ( 9, 2 is: The slope of the tangent line to the curve y The equation of this tangent…

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Q: 8. y = In(x²) ; (1,0)

A: From the given problem:   y=lnx2 ; p1,0   The expression for the slope of the tangent line to the…

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

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Q: The slope of the tangent line at any point (x, y) on a curve is 2/x. If the point (9, 3) is on the…

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Q: ind the standard (slope-intercept form) equation of the tangent line to the following equations at…

A: Given,        k(x)=x-1 at x=-15

Q: Find an equation of the tangent line to the curve at the given point. y = 4x – 3x, (2, –4)

A: Given, y=4x-3x2Point=2, -4

Q: The slope of the tangent line at any point (x, y) on a curve is 2,. If the point (9, 3) is on the…

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Q: The slope of tangent lines to a curve y=f(x) is given by f'(x)=1/√√x +4x^3-1. If the point (1,6) is…

A: Equation of curve

Q: Problem 10 Find the slope of the tangent line to the function 25xy = 12(x2 + y?) At the point (3, 4)…

A: Given function is Differentiating both sides with respect to x, we get

Q: Find the equation of the tangent line to the curve: y? – x³ = 1 at point (2, -3) %3D

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Q: Find an equation of the tangent line to the curve at the given point. y = 3x3 – x2 + 2, (2, 22) y =

A: Given curve and points are: y=3x3-x2+2  , 2,22

Q: write an equation for the tangent line at the given point x +y = 4, (/2, V2)

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Q: Find equations for the tangent lines to the graph at the given points. 7ху + x %3D 8, (1, 1) and (8,…

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Q: Find an equation of the tangent line to the curve at the given point. Illustrate by graphing the…

A: Given

Q: Find the equation of the tangent line at the given point on curve.

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

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Q: Problem 9. (1 point) Find the equation of the tangent line to the graph of y(x) = 4(x – )* at x = 2.…

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Q: 3- write an equation for the tangent line at the given point x² + y? = 4, (/2, vz)

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Q: Find an equation of the tangent line to the graph at the given point. (x +2) + (y- 3) = 37, (-3,-3)

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Q: Find an equation of the tangent line to the curve y= 10xat the point (1, 10).

A: Given: y=10x for finding tangent of given curve at given point we need slope m of tangent at given…

Q: Find an equation of the tangent line to the curve at the given point. y = 2x3 – x2 + 4, (2,16) y =

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Q: Question 2 What is the slope of the tangent line to the graph of x² - xy - 4y² + 2x + 4y = 8 at (4,…

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Q: Find an equation of the tangent line to the curve at the given point. x + 5 y = X - 4 -* (3, -8) y =

A: Solution: The objective is to find an equation of the tangent

Q: 9) Give answer in slope-intercept form Find the equation of the tangent line to the graph of y = 3…

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Q: 13) Find the equation in slope-intercept form that is tangent to (x- 1)² + (y + 2)² = 25 and passes…

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Q: 21 at the point (1, 7). Find the equation of the line tangent to the graph of the function w(x) = x2…

A: Solve for the equation

Q: find the equation of the tangent to the curve y = x+2x^(1/3) through point (8,12)

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Q: b) Find the Slopes of a lines tangent to the graph at x = 4, and then build the respective Tangent…

A: Slope of line can be find by taking derivative . Derivative of the equation at the given point is…

Q: Find y′ and the slope of the tangent line to the graph of the equation below at the indicated point.…

A: To find the slope of the tangent to the given function at the indicated point we need to find the…

Q: What is the value of the slope of the tangent line to the graph of y at the point (-1, -) O 1/2…

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Q: Find an equation of the tangent line to the curve x + y13 = 5 (an astroid) at the point (8, 1). 2/3

A: We find y' from the given equation using implicit differentiation  To find the slope of the…

Q: х? +x tan-1 y 3 у — 1, (-%, 1) y = y – 1,

A: Let's find.

Q: Find the exact value of the slope of the tangent line to the graph of −2x2−3xy+3y3=13at the point…

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Q: Find an equation of the tangent line to the curve at the given point. у %3 4х — Зx?, (2, —4)

A: The objectives to find the equation of tangent line to the curve at the given point.

Q: Find the equation of the tangent line at the given point on each curve. x2 + y2 = 25; (-3, 4)

A: Find the equation of the tangent line at the given point on each curve. x2+y2=25  ;   (-3,4)

Q: Find an equation of the tangent line to the curve at the given point. y = 4x^2 − x^3, (1, 3)…

A: The curve y = 4x2 – x3, we have to find the equation of the tangent line to the curve at the point…

Q: Find an equation of the tangent line to the curve at the given point. y =√(4-77x) ,  (−1, 9)

A: We have to find tangent

Q: The curve with equation y to the power 2=5x to the power 4-x to the power 2 is called a kwampyle of…

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Q: Find the equation of the tangent line to y = 20-5æ+3 at x = 4. y =

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Q: Find an equation of the tangent line to the curve at the given point. y = 3x - 14x + 1, (5, 6)

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Q: The slope of the tangent line at any point (x, y) on a curve is 10 − 4x, and the point (1, −1) is on…

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Q: At what point on the given curve is the tangent line parallel to the line 3x - y = 3? y = 3 + 2ex –…

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Q: The slope of the tangent line at any point (x, y) on a curve is 25 If the point (9, 3) is on the…

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Q: Please show all steps to your solution and explain all work clearly. Midterm is based on Chapters P…

A: Given function is Differentiating both sides with respect to x , we get

Q: Find an equation of the tangent line to the curve at the point (3, 9). X- 1 y = + 7 X - 2 y =

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Q: .. The slope of the tangent line at any point (x, y) on a curve is given by (x + 2)3 + 1. If the…

A: Explanation of the answer is as follows

Q: (*.:)- 3 at the point ( 4, The slope of the tangent line to the curve y = is: 4 Preview The equation…

A: Given,

Q: Suppose the slope of the tangent line at any point is vx – 1 . What is the equation of the curve if…

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Q: Find an equation of the tangent line to the curve at the given point. у %3 бех + х, (0, 6)

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Q: 48(x^2+y^2)^2=625xy^2;(3,4) Write an equation for the tangent line at the point (3,4)

A: Given,