Reference no: EM131008927
1. Find the equation of the tangent line to the curve y = x2 at x = 1.
This line is also tangent to a circle with center (18, 0) at x = 4. Find the equation of this circle.
2. Consider the curve defined by x2 + y2 - 3x + 13y = 13.
(a) Find dy/dx
(b) Under what condition on x is the tangent line to the curve horizontal?
(c) Under what condition on y is the tangent line to the curve vertical?
3. Consider the curve given by y = x/ (y + b).
(a) Find the slope of the tangent line to the curve at the point (0, 0). Your answer will have b in it.
(b) Find the equation of the tangent line to the curve at the point (0, 0). Your answer will have b in it.
4. You are given the circle, x2 + y2 = 25.
(a) At what two points is x = 4?
(b) Find the equation of the tangent line to the circle at Point A.
5. Find the slope of the tangent line to the curve at the point (-1, 2). Give an exact value.
x3 + 5x2y + 2y2 = 4y +9.
|
Relationship between private-public four-year colleges
: Tuition 2008, part 2. Exercise 51 examined the relation- ship between the tuition charged by states for four-year colleges and universities compared to the tuition for two- year colleges. Now, examine the relationship between private and public fo..
|
|
What is procrastination and its qualities
: What is Procrastination and its Qualities
|
|
Average tuition for four-year colleges
: Using the data on the CD, make a scatterplot of the average tuition for four-year colleges against the tuition charged for two-year colleges. Describe the relationship.
|
|
Calculate the electric flux density everywhere in space
: Electric flux density in dielectrics. A point charge is located in free space. The charge is surrounded by a spherical shell, with inner diameter r1 , outer diameter r2 , and permittivity e. Calculate the electric flux density everywhere in space.
|
|
Compute the equation of the tangent line to the curve
: Find the slope of the tangent line to the curve at the point (0, 0). Your answer will have b in it. Find the equation of the tangent line to the curve at the point (0, 0). Your answer will have b in it.
|
|
Find the electric field intensity at a very large distance
: Electric field of small volume charge density. A small sphere of radius a has a nonuniform charge density given as p = Por(r -a)/a. Find the electric field intensity at a very large distance R >>a. What are the assumptions you must make?
|
|
Discussion - introduction to child and adolescent psychology
: Introduction to Child and Adolescent Psychology - Discussion, Why is it important for psychology professionals to have an understanding of developmental psychology even if they do not work specifically with children
|
|
Paper on new trends in ic packaging
: Write a two page report based on the paper on New Trends in IC Packaging - the subject is Microelectronics Fabrication.
|
|
Find electric field intensity outside spherical shell
: Electric field due to conducting shell. A spherical shell of radius a is charged with a uniform surface charge density p,. Find the electric field intensity inside and outside the spherical shell.
|