What is the equation of the Tangent Line to the curve y = 3 x – 4 x ² at (-2, – 22)? 19 x - y = 60 A) 19 x - y + 16 = 0 B) 19 x + y = 60 C) y – 19 x + 16 = 0 D)

Q: A) Find the nearest distance from the point (-4,2) and the line 2x-y =5 B) Find and tx sin 3z and y…

A: We use derivatives application to find minimize distance from a point to a line

Q: Let Ax) = 8x_+ 3x² – x + 1_. a. Determine f (x). b. Use 13a to find the equation of the tangent line…

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Q: 2. (6 marks) Find the slope of the line tangent to f: y = 2/5x + 1 at the point (3,8). c) - D) E) -…

A: Answer and explanation is given below..

Q: ****- # PANKK 245 w (0 6**) jead 243 www. (**) 4 Find the length of the curve

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Q: Find all the points on the graph of (x² + y²)² = x² – y² that have horizontal tangent line.

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Q: Find the equation of the tangent line to the graph of the function f(x) = 4x - at x = -2. Give your…

A: Use formula of equation of tangent line.

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: 5) What is the equation of the line tangent to y = 2x³ + 3x - 1 atx=0?

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Q: 6 5) Consider the function f(x)==-x² +2 x a) Find and sketch the tangent line to fat the point…

A: given function

Q: Determine the equation of the tangent to the graph of y- x - 3x + x+3 at the point (- 1, -2). O a)…

A: We have to find the tangent of the given function at point (-1,-2).

Q: The line shown in the xy-plane in the graph of y = f(x). For what value of x is f(x) = f^(-1) (x)?…

A: from graph we first find the equation of line since the line passes through (x1,y1)=(0,3) and…

Q: d the equation of a straight line which is tangent to one point an to the other noint on the cunve Y…

A: Here we have to find the equation of a straight line which is tangent to one point and normal to the…

Q: Q1) A) Find the tangent equation for the function: f(x) = Vx2 +5 at =2?

A: The given function is; f(x) = √(x2+5)

Q: Find the distance between the pointx1 =−1, y1 =1, z1 =3 and the point x2 =1, y2 =1, z2 =1.

A: The first point is (-1,1,3) and the second point is (1,1,1) We will use the distance formula:

Q: Q1)a) Find line that are tangent the curve x + xy = 1 at the point (-1,0)

A: The given equation of the curve is x2+xy=1 and the point is (-1, 0). Evaluate the slope of the…

Q: The slope of the tangent at a point (x0, y0) of x3 + y3−6x2y = 0, is indicated as 4x0y0 −…

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Q: Find the slope of the tangent line to the curve y 5x at the point (-7, 245). A 70 25 -7 -70 E) 7

A: As we know that; The slope of the tangent line to the curve at a given point Px,y is equal to the…