Find the equation of the line tangent to the indicated curve. Sketch the curve and tangent line. *+y 25 at (-4, - 3) Find the equation of the line tangent to the indicated curve. (Type an equation.)

Q: Find an equation of the tangent line to the curve at the given point. y = 9ex + x,  (0, 9)

A: Given: y=9ex+xx1=0y1=9 The objective is to find the equation of tangent line to the curve

Q: EVALUATE. Find the equation of the family of curves whose slope at any point (x,y) is -4e-2xsin2x.…

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Q: Find the equations of all lines through the origin that are tangent to the curve y = x - 10x2 – 4x.…

A: Given curve is y=x3-10x2-4x

Q: Find the points at which the graph of the equation has a vertical or horizontal tangent line. 81x2…

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Q: Find an equation for the line with the given properties. Use lowercase letter x for the…

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Q: Find the equation of the line tangent to the given curve with the given slope. View the curve and…

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Q: Write the tangent line equation. (3) xy =-4 P(2,-2)

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Q: Find the slope of the tangent line to the curve - 2a? – 2ry – 2y = - 38 at the point (- 4, - 1).

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Q: Find an equation for the line that is tangent to the curve y = 2x3 - 8x at the point (2,0). (Type an…

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Q: Solve with solution determine the slope of the tangent line to the curve y=3x2 – 2x at the point…

A: Topic = Derivative

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

A: Given

Q: equation of the line that is tangent to the circle

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Q: | Find the equation of the line tangent to y = at the point (3, 5). Write your answer in slope…

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Q: Find the equations for the two distinct tangent lines to the curve y= x^2 that pass through the…

A: Consider the given curve: y=x2 Here, the objective is to find the equations for the two distinct…

Q: Find an equation of the tangent line to the curve at the given point. y = x3 − 2x + 2,    (4, 58)

A: Here we find the  equation of the tangent line to the centrey=x3-2x+2  at the point 4,58

Q: Determine an equation of the line tangent to the graph at the point (3,8)

A: We find f'(x) using the quotient rule. And plug x=3 in it to find f'(3)

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

A: We have to find an equation of the tangent line to the curve at the given point.…

Q: A curve is given by the equation x4 + y = 82. Find the equation of the line tangent the curve at…

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Q: write an equation for the tangent line at the given point x² + y² = 4, (/2,/2)

A: Given: An equation x2+y2=4 and point 2,2 Firstly, find the gradient of x2+y2=4 by the formula…

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 the equation of the tangent line to the graph y = f(x) at the given value of x. f(x) = - 4x +7,…

A: Given: f(x)= -4x+7 , x=-1 Equation of line having slope m and passing through (x1, y1) is   (x-…

Q: Find the x-and y-intercepts of the line that is tangent to the curve y = x3 at the point (-2, -8).

A: The equation of tangent line to a curve y = f(x) at a point (a,b) is given by the below equation.

Q: 5.) y3 x+ at a point where x 3

A: A detailed solution is given below

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

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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: Find an equation of the tangent line to the curve at the given point. y = 2x3 − x2 + 8,  (2, 20)

A: Given, The equation of a curve is y = 2x3 − x2 + 8 at  point (2, 20)

Q: following

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Q: Find the equation of the line tangent to y - 25 at the point (1, – 4). Write your answer in slope…

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Q: Find the equation of the tangent line at the given point on the following curve. *+y² =41, (-4. - 5)…

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Q: Write an equation of the tangent line to the curve f (x) = 10//7 + 6x at the point (4, ƒ (4)).…

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Q: Find an equation for the line that is tangent to the caurve y= 3x-3x at the point (-1,0). The…

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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: Write the equation of the tangent line to the curve at the indicated point. As a check, graph both…

A: we will find tangent line to curve f(x) at x=1 for slope we will use power rule of derivative .

Q: Find an equation of the tangent to the curve at the given point. y = -2 In(x? – 3), (-2,0)

A: Given the point. Using point slope formula.

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: The slope of the tangent line at any point (x, y) on a curve is 2vx. If the point (9.3) is on the…

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Q: Find the slope of the given point of the equation of the tangent line y=x^2-5 P(2,-1)

A: Slope of the tangent is obtained by dy/dx

Q: Find an equation for the tangent line to the curve at the given point. Then sketch the curve and the…

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Q: The slope of the tangent line to the curve y 2x at the point (- 5, - 250) is: The equation of this…

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Q: Find the equation of the tangent line to the curve  at the given point . Sketch the curve and the…

A: The equation of the curve is y=-2x3. The point of contact is (-2, 16).

Q: Find the equations of all lines through the origin that are tangent to the curve y = x³ – 4x² – 4. -…

A: Topic:- application of derivatives

Q: Find the equations of all lines through the origin that are tangent to the curve y = x³ – 6x2 – 2x.…

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Q: Find an equation of the tangent line to the curve at the given point. y = 7x2 - x3, (1, 6) y =…

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Q: K) Finally, give the equation of the tangent line at point P(-4,-3). Show your work.

A: Equation of the tangent line to the function f(x)  at point (x1, y1): y-y1= m(x - x1) where m is the…

Q: Find an equation of the tangent line to the graph at the given point. (x + 2)? + (y – 3)² - 37, (-1,…

A: Differentiating with respect to x, we get Now slope of the tangent at (-1, 9) is