Find an equation of the tangent line to the curve at the given point. Illustrate by graphing the curve and the tangent line on the same screen. y = 6x - 5Vx, (1, 1)

Q: Find the equation of the tangent line at the given point on each curve. :x2 + y2 = 100; (8, -6)

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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: The slope of the tangent line to a curve at any point (?,?) on the curve is equal to 3x2y2. Find an…

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Q: Find the slope of the curve, equations of the tangent and normal lines to the given point. 8x y at…

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

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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 equation of the tangent line to the curve y = at x = 1. Write the answer in slope-intercept…

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Q: Find an equation of the line tangent to the graph of y = at the point (16, 4/4). Answer: y =

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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 an equation of the tangent line to the graph at the given point. 3(x² + y2}² = 100(x? – y²),…

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Q: In the given equation as follows, find an equation of the tangent line to the graph of the function…

A: Definition used -         Equation of tangent line at a point (h, k) to the graph of function…

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 equation of the tangent line to y=−6/x^2 at x=−2. Write your answer in slope-intercept…

A: The equation of the curve is y = -6x2 To evaluate: The equation of the tangent line to the given…

Q: Find an equation of the tangent line to the graph of the equation 6x - 5x8y7 = 36e6y at the point…

A: In this question, we will compute the equation of the tangent line of the given curve.

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 the equation of the curve at every point of which the tangent line has a slope of (1+y^2)/2xy…

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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 for a line that is tangent to the graph of y = ex andgoes through the origin.

A: To find the equation of a line that is tangent to the graph of y=ex and passing through origin.…

Q: Find an equation of the tangent line to the curve at the given point. y = Sqrt(x) (81,9)

A: Consider the given function:

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 equation of the tangent line to the circle at the point (-3, -4). Equation of the circle *…

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

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Q: Consider the following curve. y = 3x2 - 10x + 1 Find the slope m of the tangent line at the point…

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Q: (a) Find the slope of the curve at point P and write the equation of tangent line at point P. 2x? –…

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Q: write the equation of the tangent line to the curve y=x^3+xat the points where the slope is 4.

A: We have given,

Q: Find the equation of the curve at every point of which, the tangent line has a slope of 2x.

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Q: The slope of the tangent line to the curve  y=3x^3 at the point (-5,-375) is:? The equation of this…

A: Consider the given: y=3x3Differentiate w.r.t. "x"dydx=9x2Find the slope at…

Q: find an equation of the tangent line to the graph of the given point. f(×)= √x(x-8), (16,32)

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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 = 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: The slope of the tangent line at any point (x,y) on a curve is 3Vx. If the point (9,4) is on the…

A: This question is based on slope of a curve wich is given as  dy/dx

Q: Find the slope of the tangent to the curve y = x² - 2x + 3. Also find the equation of this tangent.

A: Solution

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

A: Given, y= x³-4x²+9 Therefore, dy/dx = 3x²-8x Also given, x=1 Substituting in the above equation we…

Q: Consider the following equation and point. f(x) = 3x2 – 6, (-1, -3) Find an equation of the tangent…

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

A: Formula: The equation of a line passing through x1,y1 and having slope m is given by y-y1=mx-x1. The…

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

A: We have to find equation of tangent line to the graph of function: x+22+y-32=37 at -1, 9 We know…

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: C. Find the slope and the equation of the tangent line to the curve. 21: y=x²-4x+1 at (2, -3)

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: Find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.…

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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: Find an equation of the tangent line to the curve at the given point. (Round you y = x3 - 3x, (2,…

A: Given query is to find the equation of the tangent line t (2,-1).

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 an equation of the tangent line to the curve at the given point. x + 1 (6, -7) x - 7 y =y= -8x…

A: y= x+1 / x-7 (6,-7 )  x- y - =13

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

A: To find the equation of the tangent line of the graph  x+22+y-32=37 at the point -3,-3

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

A: y=4-x2,  -1, 3 Now differentiating with respect to x, we get dydx=0-2x=-2x Now slope of the tangent…

Q: Find the equation of the tangent line at the given point on each curve.: x2y3 = 8; (-1, 2)

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