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 account in 8 years if interest is compounded every 3 months?

b) How long will it take for the initial investment to double if interest is 3% and compounds continuously?

Expert Solution

milcah answered 2 years ago

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

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 an equation of the tangent line to the curve cos ( x ) + 11...

Find an equation of the tangent line to the curve cos ( x ) + 11 y ^2 = x y ^3 + 34 at the point ( 0 , √ 3 ) . Assume that y is a function of x . Express all numbers in exact form and write the equation of the tangent line in terms of x and y .

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.

If f(x)=2x^2−5x+3, find f'(−4). Use this to find the equation of the tangent line to the...

If f(x)=2x^2−5x+3, find f'(−4). Use this to find the equation of the tangent line to the parabola y=2x^2−5x+3 at the point (−4,55). The equation of this tangent line can be written in the form y=mx+b where m is: ???? and where b is: ????

Find the equation of the tangent line to the curve given by: x= t2 + 2t...

Find the equation of the tangent line to the curve given by: x= t2 + 2t - 3 y= t3 -2 (5.6).

Find the equations for the tangent line and the normal line to the curve x^2 +...

Find the equations for the tangent line and the normal line to the curve x^2 + arcsin(x + y − 1) = y^2sqrt(8x) at the point (2, −1)..

Let f(x)=(x^2+1)*(2x-3) Find the equation of the line tangent to the graph of f(x) at x=3....

Let f(x)=(x^2+1)*(2x-3) Find the equation of the line tangent to the graph of f(x) at x=3. Find the value(s) of x where the tangent line is horizontal.

Question

1a. Find the equation of a tangent line to the curve f(x) = ln(2−x)/x + 3x...

Solutions

Expert Solution

Related Solutions

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

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...

Find an equation of the tangent line to the curve cos ( x ) + 11...

Find the equation (in terms of x and y) of the tangent line to the curve...

1. Find the equation of the line tangent to the curve y=2x^2 + sin4x at x=...

If f(x)=2x^2−5x+3, find f'(−4). Use this to find the equation of the tangent line to the...

Find the equation of the tangent line to the curve given by: x= t2 + 2t...

Find the equations for the tangent line and the normal line to the curve x^2 +...

Let f(x)=(x^2+1)*(2x-3) Find the equation of the line tangent to the graph of f(x) at x=3....