THH Find the differential equation characterizing family of curves described 1. tangents to ky =x2 2. circks passing through origin and (4,0) V Solve the followin the

Q: Implicitly differentiate the equation y? + 4xy +x In 2x = 0. Isolate y' in the resulting equation.…

A: The equation of tangent on the curve f(x,y)= 0, at (a,b) is given by, (y - b) = y'|(a,b) (x - a)…

Q: Use implicit differentiation to find an equation of the tangent line to the graph of the equation at…

A:

Q: y = (x' +5x)arccosx

A:

Q: Find an equation of the line tangent to the graph of y sin x – 3y = 4 at the point %3D (, 4) .

A: y2sinx - 3y = 4 at (π/2 , 4) we have to find slope of function 2ysinx(dy/dx) + y2cosx -3dy/dx = 4…

Q: Determine if the equation (x* +y°) dx + (5xy* +y°) dy = 0 is exact. Identify M = and N = ƏM ƏN The…

A: For differential equation ,M dx + N dy=0 is to be exact if∂M∂y=∂N∂xthen solution is∫ M dx + ∫ N…

Q: Find the derivative of 5e* 1. y = e 6x 3. y = 2x+3x 2. y = e* + e3x 4. y = (e* + ex)1/2

A: Quotient Rule of differentiation : ddxuv=v.dudx-dvdx.uv2 deaxdx=aeax dxndx=n.xn-1

Q: Q 3. By implicit differentiation i. Find if 4r - 2y = 9 ii. Find the slope of the tangent lines to…

A:

Q: 7 Find the stationary point on the curve e + ye = 2e'. %3D

A: In the given question, the concept of the stationary point is applied. Stationary Point The critical…

Q: Find the values of h, k, and a that make the circle (x - h)2 + (y - k)2 = a2 tangent to the parabola…

A:

Q: Q-2- Find the equation of the tangent line. and the normal line fer the fallowing function X = Qa…

A: