Find the exact length of the curve (b) x = e' cos t, y= e' sint, 0

Q: What is the slope of the given curve y = 8x

A: Give curve,         y = 8x-3x² at point (2,4)

Q: 2. Find the length of the curve 0<t< 2n. r(t) e'i + e' sin 2tj + e' cos 2tk,

A: From the given problem :   rt=eti+etsin2tj+etcos2tk   So,   x=et, y=etsin2t , z=etcos2t .   As we…

Q: Find the length of the curve x = e' cos(t), y = e' sin(t), 0 <t < r. Length =

A:

Q: find y'' for the curve cosx-siny=4

A:

Q: Find the equation for the curve f (x) at the point (x, y) meet the following conditions dy / dx = 4x…

A: A curve is a function with equation of the form y=f(x). A differential equation is an equation in…

Q: d?y .if x = 212 – 3 & y = 3 – t* . dx² sing parametric differentiation, find

A: on solving this we get

Q: Show that the inflection points of the curve y=sinxxy=sin⁡x/x lie on the curve y2(x4+4)=4.

A: Given: To prove that the inflection points of the curve y=sinx/x lie on the curve y2(x4+4)=4.

Q: 2.x²y+ 3xy? = 2x + 55

A: We will find the value of dy/dx and the equation of the tangent line at point (5,1) in the following…

Q: Use implicit differentiation to find at the point (-2,3) on the curve a + y° = 19.

A: Implicit differentiation

Q: Find points of horizontal and vertical tangent lines r = 1- cos(0) %3|

A:

Q: Find the equation of the line tangent to the curve y=x+cosx at the point (0,1)

A: Given, curve and point