2x +1 Determine the equation of the line tangent to the graph of at the point (1, 1). x + 2

Q: [CLO-2] Find the equation of the tangent line to the given curve at the specified point. xy2 - x²y =…

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Q: 7. An equation of the line tangent to the graph of ƒ at the point (2, 7)is y = 4x - 1. Find ƒ(2) and…

A: Given function is fxequation of the tangent line y=4x-1tangent of the graph 'f'=dfdx=y=4x-1  ∴…

Q: ) Find the slope m of the tangent to the curve y = 9 + 5x² – 2x3 at the point where x = a. 10а + 6а?…

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Q: Find the equation of the curve whose slope at any point (x, is given and which passes through the…

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Q: Find the equation of the curve for which y"= 2x³. The slope of the inflectional tangent at (-1, 3)…

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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: Find the standard (slope-intercept form) equation of the tangent line to the following functions at…

A: Standard slope intercept form of a line is like,                     y=mx+c, where m is the slope of…

Q: Find an equation of the tangent line to the graph of the function f defined by the equation at the…

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Q: 16 Find the equation of the line tangent to y = at the point ( 2, 2). Write your answer in slope…

A: Given:        y = x3-16x-yConcept :  Equation of the line target to y at (x ) is              y - y…

Q: 2x+1 Find the equation of the curve whose slope at (2,3) is given by 2y-3

A: Given that: Slope at (2, 3) is given by 2x+12y-3

Q: Find an equation of the line that is tangent to the graph of y = /1+x³ at the where r = 2. Write the…

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Q: 15. Find the equation of the curve whose slope at any point is equal to -(y +1)/(x + 1) and which…

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Q: Find the equation of the line tangent to the curve. y= -3x + x^2 +2 at the point (3,2) Include y= in…

A: The given equation of the curve: y=-3x+x2+2

Q: Find an equation for the line tangent to the curve y =x +1 at the point (-2,5). Sketch the curve and…

A: The curve is y=x2+1 at the point (-2,5).

Q: The equation is y= (3x-5)/(2x-1). Find equation of the line tangent to the graph of function when…

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Q: Y=14x4-6x2+1; (-1,9)   find an equation of the tangent line to the graph of the function at the…

A: We know that the equation of tangent at the point (x1,y1) is: y-y1=m(x-x1) where m is the slope of…

Q: Find the equation of the line tangent to the curve (x-2)^2=-4(y+3) at (2,-3)

A: Given data:     The expression for the equation of the curve is: (x-2)2=-4(y+3). The given point is:…

Q: Find an equation of the line tangent to the graph of G(x)=5 eX at the point (0,5). The equation of…

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Q: A) Find an equation of the line tangent to the function of x2 + (y- x)2 = 9 at x = 1. %3D

A: Given, The function  x2+y-x2 = 9  We have to find the equation of the tangent line to function at x…

Q: Vx-1 Find the slope-intercept equation of the tangent line to the graph of at the point x2+1…

A: This question is based on knowing how to calculate slope from a given function at a point.

Q: 5x=2 5. Find the member of the curve whose slope at any point is y+s point (3, 2) and passes through…

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Q: Find the equation of the tangent line to the graph of x2y2+ 2xy = 24 at the point (-3, 2).

A: givenx2y2+ 2xy = 24      and point (-3,2)diffentiate this equation for calculating slope of tangent…

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: Find the equation of the line tangent to the graph of x³ + y³ = − 3xy - 80 at (-4,-4). The equation…

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Q: The tangent line to the curve at the point (1,2) also passes through d²y the point (-1,4). If at any…

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Q: The point (2,1) is on the graph of x2 . y3 + 5· x² = y² + 23. Find the slope of the line tangent to…

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Q: x-2 What is the equation of the tangent line of y at the point x = 3 ? 2x-5

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Q: find the slope of the curve at the given points (x2 + y2)2 = (x - y)2 at (1, 0) and (1, -1)

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Q: Q3/ Line A with equation y = -8x - 18 is tangent to the curve with the equation y = 4x + 2x². Find…

A: Tangent line: If a line touches a curve at a unique point then the line is called tangent and that…

Q: The equation 12x-0.5 = -3(y+6) represents the equation of the tangent line to the graph of g(x) when…

A: Given that, Equation of tangent to the graph of g(x) is, 12x - 0.5 = - 3(y + 6) we have to find the…

Q: Find an equation for the tangent line to the curve f(x) = x³ at the point (-2, - 8). Then choose the…

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Q: What is the equation of the tangent line of y= -2x + 5 at any point? A. y = 2x - 5 B. y = -2x + 5 C.…

A: Given y = -2x + 5

Q: 3. A function is defined by the equation y = V3x + 4, where does the slope of the tangent line equal…

A: Given,           A function is defined by the equation y=3x+4 and the slope of the tangent line…

Q: how do you find the equation of the tangent line at the given point on each curve? x2+ y2=25 ,…

A: To determine the equation of the tangent line, the slope of the curve at the given point is to be…

Q: 2x+5 2. What is the equation of the tangent line to the graph of f(x) = in x = 5? x-3

A: fx=2x+5x-3f'x=2x-3-12x+5x-32f'x=2x-6-2x-5x-32f'x=-11x-32

Q: Find an equation of the tangent line to the graph of the function f defined by the equation at the…

A: Equation of tangent in slope - intercept form:- y=mx+c We need to find the value 'm' and 'c' Since m…

Q: Find the equation of the tangent to the curve y = x/2x² + 7 at x = 3.

A: Topic = Application of Derivative

Q: A. Find the slope and equation of the tangent line to the graph of the equation at a given point. 1.…

A: Given  y = 2x² + 4x.        (-2, 0) To find slope & equation of tangent line:

Q: 1. Find the equation of the tangent line to the graph f(x) = 2x² + 5 at P(-1,7) 2. Find the equation…

A: The solution to given questions is explained below.

Q: x2 – 1 Find the equation of the line tangent to y = at the point (2, 1). Write your answer in slope…

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Q: 15. Find the equation of the curve whose slope at any point is equal to -(y + 1)/(x +1) and which…

A: We have to find the equation of line when given slope and passing through the point

Q: Write the equation of the line tangent to the graph of y² = − ly + 1x + 4 at (-2,-2). The equation…

A: We have to find the equation of the tangent.

Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

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Q: 5. Find the equation of the tangent lines to the curve y = x² + 3x - 4 and parallel to the line 6x…

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Q: 4. Find the equation of a curve whose slope at any point is equal to x + + and which passes through…

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Q: At the two points where the curve x2 - xy + y2 = 36 crosses the x-axis, the tangents to the curve…

A: x2-xy+y2=36

Q: Find equations of the two tangent lines to the graph of f(x) = x that pass through the point (-1,…

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Q: 2) Find the slope and the equation of the tangent line to a curve: y = 3x? - 4x + 1 at x = 2.

A: The given curve is y=3x2-4x+1, we have to find slope and the equation of tangent line to the curve…

Q: a. Find an equation for the line perpendicular to the tangent to the curve y = x' - 9x + 4 at the…

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