1. Write an equation of the line perpendicular to the line y= -1/2x + 5 at...

1. Write an equation of the line perpendicular to the line y= -1/2x + 5 at (-4,3) and sketch its graph.

Draw the graph of y= 3 sin 2x from x=0 to x=2π.

Let f(x) = x - 4 and let g(x) = x^2 − 16. Specify the domain of f(x)/g(x).

Draw the graph of y = -2+|x-3|

Draw the graph of y = -2x^2 + 8x - 3 and label its minimum.

Draw the graph of y= squareroot of x+3.

Expert Solution

milcah answered 2 years ago

a. Write the equation of the tangent line to y = -2x^2+5 b. What does the...

a. Write the equation of the tangent line to y = -2x^2+5 b. What does the slope of the tangent tell you about the line? c. Find the equation of the tangent at the point x= -1 d. What does the slope of the line in part c. tell you about the original function?

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. write the equations of a line through the point (0, 2, -5) and perpendicular to...

1. write the equations of a line through the point (0, 2, -5) and perpendicular to the plane -2x+3y+4z = 18. Use either parametric or symmetric form. 2. Find the acute angle between the planes 2x+4y-z = 12 and x-6y+5z= 20.

Solving the differential equation given using indeterminate coefficients. a) y''+y'-6y=2x b) y''+2y'=2x+5-e^-2x

1. (5) Given the IVP xdy/dx- y = 2x^2;y (1) = 5: (a) Write the DE...

1. (5) Given the IVP xdy/dx- y = 2x^2;y (1) = 5: (a) Write the DE in standard form. (b) Compute the integration factor, (x): Show your work. (x) = (c) Find the general solution of the DE. Show your work. (d) Use the inital condition to solve for c: Show your work. c = (e) What is the largest interval I over which the solution is dened? Write your answer in the box. 2. (3) Given the DE (1...

y'=√2x+y+1 general solution of differential equation

Find the equation of the line through the point P = (0,2,−1) that is perpendicular to...

Find the equation of the line through the point P = (0,2,−1) that is perpendicular to both ⃗v = 〈3,0,1〉 and ⃗w = 〈1,−1,2〉. v and w are vectors by the way

Find the equation of the line goes through (1,0,-1) that is perpendicular to the lines x...

Find the equation of the line goes through (1,0,-1) that is perpendicular to the lines x = 3+2t,y = 3t,z = −4t and x = t,y = t,z = −t. Write it in parametric and the vector equation form.

For the following exercises, each graph is a transformation of y = 2x. Write an equation describing the transformation.

1. Find an equation of the line that satisfies the given conditions. Through (1/2, -2/3); perpendicular...

1. Find an equation of the line that satisfies the given conditions. Through (1/2, -2/3); perpendicular to the line 6x - 12y = 1 2. Find the slope and y-intercept of the line. Draw its graph. 4x + 5y = 10 3. Find the x- and y-intercepts of the line. Draw its graph. 5x + 3y − 15 = 0 4. The equations of two lines are given. Determine whether the lines are parallel, perpendicular, or neither. y = 4x +...

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