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Find the body's speed and acceleration...
s= -t^3-162^2-6t [0,6]
The answer I got was 42 m/s and -6 m/sec^2...Please
correct if wrong...

Find the derivative
t^7 tan t - square root of t
I can't even figure this one out...

s=10sin t -cos t
Find accel. at t=pi/4
I got -11 square root of 2 /2....please correct if wrong

Find an equation for the line tangent to the curve.
x=t + cos t, y= 2-sin t, t=pi/6
Couldn't figure this one out either...

Find an eq. of tangent line at indicated pt.
f(x)=x^2 -x (2,2)
I got y=3x +4 (again please correct if wrong)

At the point given find the line which is normal to the
curve y^5 + x^3 =y^2 +10 x (0,1)
I couldn't figure this one out for the
life of me...

Anyways, I would greatly appreciate any help...
These are some practice homework questions
for an upcoming test...I would like to see if I
got some of them right, and figure out how to
do the ones that I can't do at all...l.o.l..

Thanks...PLEASE HELP...

2006-10-16 07:16:45 · 4 answers · asked by Anonymous in Science & Mathematics Mathematics

4 answers

Problem 1) s is a function of t, to find the velocity at time t you take the derivative of s, and plug in the value of t.

To find the acceleration you take the derivative of the velocity with respect to t, and plug in the value of t.

To find the derivative of t^2 tan t you use the product rule.

You need to study the text, since these are direct examples that really require no leaps in logic, it just tests whether or not you have made an effort to learn manipulative skills to process simple problems.

2006-10-16 07:41:42 · answer #1 · answered by Anonymous · 1 0

1) Did you mean -t^3 - 16t^2 -6t ? If so, then
V (Speed) = -3t^2 -32t -6 At t=0, V= -6; at t=6, V= -308
A (Acceleration) = -6t -32 At t=0, A = -32; at t = 6 , A = -68.
You did not provide any units but I would guess they are feet and seconds.

2) t^7tan t - t^1/2
Sorry, wife wants computer.

Use product rule for (t^7)(tan t). The derivative of t^12 is 1/2t^-12

Bye

2006-10-16 07:50:13 · answer #2 · answered by ironduke8159 7 · 0 0

There are 360 stages in a circle. 360/12 = 30, meaning that there are 30 stages between each super huge type (a million,2,3...12 and over lower back) on the clock. 30 * 9 = 270, meaning that there are ninety stages between 12 and 9. 270/360= 3/4, meaning this attitude is 3/4 of the tiers that make up a circle. The circumference of a circle is chanced on via 2*pi*r . thus, r=7, so the circumference is 14 pi. Combining the two info, we multiply the circumference (14 pi) via (3/4). the end result's (21/2)pi.

2016-10-19 12:16:23 · answer #3 · answered by ? 4 · 0 0

Post one question as a time from now on...that way people are more willing since it is easier to get points that way....you are just being cheap with your points putting them all at once.

2006-10-16 07:48:22 · answer #4 · answered by Anonymous · 0 0

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