e12x+2y=8y-4xy+1 Use this information to answer the questions to the right. (a) At a general point on this​ curve, we have that dy/dx= ​(b) The slope of the line tangent to the curve at the point (2,−12) is= ​(c) There is a point on the curve close to the origin with coordinates (0.06, b)​, and the line tangent to the curve at the origin is given by y=2x. An estimate of b using linear approximation or differentials is b≈

Q: Find an equation for the tangent to the curve at the given point. f(x) = 4x -x+5, (16,5) OA. y= O A.…

A: Slope-intercept form is= y-y1=m(x-x1)

Q: -1 Find an equation for the line tangent to the graph of y =7 tan x at the point (4,1/12).

A: We will use concept of derivative to solve this.

Q: Find the equation of the tangent line at the point (1, 2) to the curve defined implicitly below. x¹…

A:

Q: Direction: Translate the following notations into statements in terms of the area under the curve.…

A: LetI=∫212dxWe know that ∫abfxdx=-∫bafxdx, a<bThereforeI=-∫122dxTake constant outI=-2∫12dxWe know…

Q: Find the slope of the curve y = 2x(x-1)° at point (1,-1). %3D O -1 O 4 O 2 O -2 O 1

A:

Q: (a) The curve y = 1/(1 + x²) is called a witch of Maria Agnesi. Find an equation of the tangent line…

A:

Q: An equation of the tangent line to a curve at the point (3, 5) is y = x + 2. if at any point (x, y)…

A: An equation of the tangent line to a curve at the point (3, 5) is y = x + 2.   We have to find the…

Q: Find the equation of the curve that passes through the point (8, 6) if its slope is given by dy = 5x…

A: Given that, the curve passes through the point 8,6 and the slope is given by dydx=5x-7

Q: 5. Find the equation of the tangent to the curve y = 4x² In xat the point (2). Explain and show the…

A:

Q: 3. A circle exists whose equation can be written as y2 – 16y +x² – 10x = -64. a. Find for this…

A:

Q: Consider the following equation. x4 + 3xy – 2y4 = -4 Step 2 of 2: Find the slope of the tangent line…

A: Slope of tangent line = dy/dx