Question

In: Math

Find an equation of the tangent to the curve x = 2 + ln t, y...

Find an equation of the tangent to the curve x = 2 + ln t, y = t2 + 4 at the point (2, 5) by two methods.

(a) without eliminating the parameter

(b) by first eliminating the parameter

Solutions

Expert Solution


Related Solutions

1a. Find the equation of a tangent line to the curve f(x) = ln(2−x)/x + 3x...
1a. Find the equation of a tangent line to the curve f(x) = ln(2−x)/x + 3x at the point (1, 3). 1b. Suppose the following function is defined implicitly by the equation, Find dy/dx x^2 − 3y^2 + 6e^x = 4x^2y + 5 2. Using only the definition of derivative as a limit, calculate f(x) where f(x) = 1/x − 5 3. One thousand dollars is invested at a rate of 3% a) How much money will be in the...
Find the equation (in terms of x and y) of the tangent line to the curve...
Find the equation (in terms of x and y) of the tangent line to the curve r=5sin5θ at θ=π/3.
Find the equation (in terms of x and y) of the tangent line to the curve...
Find the equation (in terms of x and y) of the tangent line to the curve r=2sin5θ at θ=π/3.
Find the equation (in terms of x and y) of the tangent line to the curve...
Find the equation (in terms of x and y) of the tangent line to the curve r=5sin5θ at θ=π/3
1. Find the equation of the line tangent to the curve y=2x^2 + sin4x at x=...
1. Find the equation of the line tangent to the curve y=2x^2 + sin4x at x= π/3. 2. Determine the point(s) where the tangent line to y= 2sinx-4x has a slope of-3 in the domain 0≤x≤ 2π. b) Find the equation of the tangent line.
1.Find the equation of the tangent to x=t^2-t, y=t^2+t+1, at the point t=1 2.Find the length...
1.Find the equation of the tangent to x=t^2-t, y=t^2+t+1, at the point t=1 2.Find the length of the curve x=t*sint, y=t*cost, 0≤t≤1
Find the equation of the tangent line of the curve given by: y sin(6x) = x...
Find the equation of the tangent line of the curve given by: y sin(6x) = x cos(6y) at the point (pi/6 , pi/12).
For the equation x^2+xy+y^2=0, find the equation of the normal to the tangent line at the...
For the equation x^2+xy+y^2=0, find the equation of the normal to the tangent line at the point (−3,−1)(-3,-1).
A) Find the equation of the tangent line to the curve y = 5e-8x at the...
A) Find the equation of the tangent line to the curve y = 5e-8x at the point (0, 5). B) Solve for t. e0.09t = 9 C) Rancher Johann wants to build a three-sided rectangular fence near a river, using 280 yards of fencing. Assume that the river runs straight and that Johann need not fence in the side next to the river. Johann wants to build a fence so that the enclosed area is maximized. What should be the...
Find the equation of the plane tangent to the function f(x, y) = (x^2)(y^2) cos(xy) at...
Find the equation of the plane tangent to the function f(x, y) = (x^2)(y^2) cos(xy) at x = y = π / √ 2 . Using this linearization to approximate f, how good is the approximation L(x, y) ≈ f(x, y) at x = y = π / √ 2 ? At x = y = 0? At (x, y) = (π, π)?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT