Calculus questions...Please help a.s.a.p (Linearization and differentials)?

Question

Find the linearization of

1. 5x^2-3x=4, a=-5

2. (x)/(5x+8), a=0

3. tan x, a=pi

4. Use the linear approximation (1+x)^k is appox. 1+kx
Find an approx. for f(x)=(1-x)^4 for values of x near 0.

Find dy
5. y=7x^2 +3x +3

6. 6y^(1/2) -3xy +x=0

7. y=csc (6x^2-1)

8. Find approx. error |change in f -df|
x +x2, Xo=7, dx= .05

9. Write a diff. formula that estimates the given change in volume or surface area. The change in surf. area S=4(pi)r^2 of a sphere when the radius changes from r0 to (r0+dx)

10. A=(pi)r^2 .By approx. how much does the area of a circle decrease when the radius is decreasing from 20 cm to 1.8 cm. (use 3.14 for pi)

11 Estimate using linear approx.
(1.0005)^50

Answer 1

1. 5x^2 - 3x = 4 may have only 2 values of x
let's assume you mean y = 5x^2 - 3x - 4 @ x = -5
y - y(-5) = m(x + 5)
m@-5 = 2*5(-5) - 3 = -50 -3 = -53
y - (5(-5^2) - 3(-5) - 4) = -53x + (-53)(5)

Nah, spending hours showing how to work through all these just isn't worth 2 points.

Try:
1. submitting them one at a time,
2. doing them yourself, or
3.dropping the course

Answer 2

A lot of work to do all of this, but here is a hint: all you have to do is figure out the slope of the function at the desired point by differentiating; next use the point slope formula to determine the equation of a line with the appropriate slope passing through the point.

Answer 3

Answere to question 5.
dy=14x+3
i am in a hurry , i'll answere the remaining later.