Find the equation of the tangent line to the curve ? = ? 2 − 4? + 3 at the point (4,3), then sketch the graph of ? and the tangent line

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

A: Given, The curve  y =3x3 -3x  We have to find the equation of tangent at point -1, 0 and solve part…

Q: Find ​the slope of the curve at the given point​ P and an equation of the tangent line at P.…

A: solution:-y=-3-4x2point, P(x1, y1)=-3, -39slope=dydx=ddx-3-4x2=-8xat point -3, -39slope=-8(-3)=24

Q: a. Find the slope of the tangent to the curve y = 3 + 4x2 - 2x3 at the point where x = a b. Find…

A: Given curve is,

Q: Look at the "mountaintop" in the image of on the graph below. -2 -12 How many tangent lines do you…

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Q: For the implicitly defined equation, consider the following. 6 7. (-1) -3 -2 -1 1. 2 3 (a) Find the…

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Q: Find the equation of the tangent line to the graph of f(x) = 9x - 2 8 e 4x at (0, – 4). The equation…

A: Find the derivative at that point and write the slope intercept form of equation of Tangent line.

Q: Sketch the curve f(x, y) = c together with Vƒ and the tangent line at the given point. Then write an…

A: According to the Bartleby guideline only one question can be solved at once post the remaining…

Q: Find an equation of the tangent line to y = f(x) when r = 2. The slope of the tangent line is f'(2)…

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Q: 2. Find the slope of the curve y? = 3x 1 at the point (-0). Draw the graph of !! the curve.

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Q: Find the equation of the tangent to the curve y=x^2 -3x +4 at the point where the tangent makes an…

A: given that tangent to curve y=x2-3x+4 makes an angle of 135 degrees with x axis.

Q: 2.x? Sketch the curve y = x? - 1

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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: (a). Find the slope, m, of the tangent to the curve y=2 sqrt x at the point where x = a.

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

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Q: Solve the following. Show the step-by-step solution. 1. Find the equation of the tangent line and…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Find the equation of the tangent line to the graph of the function ?(?) = −(? + 8)2 + 4 at the point…

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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: 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: Use definition to find the slope of the tangent line to the graph of the equation at the point with…

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Q: Find the equation of the tangent line at the given point on the following curve. x? +y? = 17, (1, -…

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Q: Find the equation of the tangent line at the given point on the curve. x²y? = 49, (- 1,7) The…

A: Consider the given equation: x2y2=49y2=49x2y=7x Differentiate the Equation: dydx=-7x2 Hence, slope…

Q: Find the equation of the line tangent to the curve y= x^3 + 5x at the point (1,6) Include y = in the…

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Q: Find an equation for the line tangent to the curve y at the point (4,27). = 3 x - 2 Find an equation…

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Q: (a) If x² + y? = 2x²y² , find y' in terms of both x and y. (b) Below is a graph of x2 + y? = 2x? y.…

A: Given equation is  x2+y2=2x2y2                      ..(1)

Q: 7) f) = Sx + 12x -7x at a point where x -1

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: Find the point on the given line, with a and b constant, that is closest to the origin.

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Q: Write an equation for z' if z(x) = 3x2 + 5x + 1. Then, write the equation of the tangent line in…

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Q: (y – 3)2 = 4(x - 5), (6, 5) %3D y = Parabola 6 (6, 5) 6 10 12 14 -2

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Q: Using the formula of your choice, find the slope of the tangent to the curve. Include the formula.…

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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: 15 points) Find the equation of the tangent line to the graph ofx2−4xy−3 = 0 at (1,−12)

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Q: Find the equation of the tangent and normal line to the following curves at a given specified point.…

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Q: Find the equation of the tangent line to the parabola at the given point. x^2 = 2y, (-2, 2)

A: Given query is to find the equation of the tangent .

Q: Find the equation of the tangent line to the curve ?=2 sin x at the point (?/6,1). The equation of…

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Q: Determine the value of the constant real number k so that the tangent lines to the curves 16x - 5y =…

A: As per our company guidelines we are supposed to answer ?️only first question. Kindly repost other…

Q: (a) Find an equation of the tangent line to the curve y = 16x sin(x) at the point (x/2, 8x). y = (b)…

A: The given equation is,y=16x sin(x) we have to find the tangent at π/2,8π

Q: Sketch a graph of y? = x* – 12x , find the coordinates of the points on the graph of y? = x³ – 12x…

A: giveny2=x3-12xwhen tangent line is Horizontal ,then slope will be zero.differentiate the…

Q: Write the equation of the tangent line to y = x - 3x + 9 at x = 1. As a check, graph both the…

A: According to the bartleby guidelines, for more than one question asked, the first question should be…

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: (a) If G(x) = 4x2 -x3, find  G'(a) and use it to find equationsof the tangent lines to the curve…

A: Gx=4x2-x3 Now differentiating with respect to x, we get G'x=42x-3x2=8x-3x2 Now slope of the tangent…

Q: (a) Find the slope, m, of the tangent to the curve y = 2 + 5x? – 2x3 at the point where x = a. m =…

A: On finding slope of the given curve we will differentiate 1st then using formula to find equation of…

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 slope m of the tangent to the curve  y = 3/sqrtX  at the point where x = a > 0. m = ?

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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: (a) Find the slope, m, of the tangent to the curve y = 8 + 5x< – 2x° at the point where x = a. m =…

A: (a)   From the given problem:   y=8+5x2-2x3   As we know that the expression for the slope of the…

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

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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: Other Math A curve goes through a point (1,2), and the slope of the tangent line to the curve at any…

A: It is given the slope of the tangent at any point Px,y is 2x

Q: Find the equation of the line tangent to the graph of x + y° = 2xy - 34 at (- 1, - 3). %3D The…

A: Equation of tangent line