Question

can someone check my calculus work

Answer 1

i can confused about #2

Answer 2

i cant read this real well but it looks like there might have been a mistake on the first question
\[[(f(x))^2]'=2f(x)f'(x)\]
did you do this or did you do:
\[2f'(x)?\]

Answer 3

looks like you wanted the equation for the tangent line, and all the work is right but i think your slope should be 1/3

Answer 4

Here are the questions

Answer 5

then whats the y-intercept?

Answer 6

it looks like the very last two questions is right

Answer 7

i will leave everything else to satellite

Answer 8

for #2 you wrote
\[\frac{4}{3\cdot 4}=\text{something}\] that i cannot quite read. but is should be
\[\frac{1}{3}\] so that the slope of your line is
\[\frac{1}{3}\]

Answer 9

But that question is asking for the x and y intercepts

Answer 10

then the equation for the line will be
\[y-2=\frac{1}{3}(x-1)\]
\[y=\frac{1}{3}x+\frac{5}{3}\]

Answer 11

it is asking for the x any y intercepts of the tangent line right? they will be
\[\frac{5}{3}\] and
\[-5\]

Answer 12

shouldn't the x-intercept be 6/3 which is 2 because 1/3+ 5/3=6/3

Answer 13

oops y-intercept should equal 2, and the x-intercept should equal 1

Answer 14

x intercept of
\[y=\frac{1}{3}x+\frac{5}{3}\] is what you get when you set
\[y=0\] and solve for x
it will be
\[0=\frac{1}{3}x+\frac{5}{3}\] and so
\[x=-5\]

Answer 15

oh, I thought I had to plug in the points (1,2)

Answer 16

again i think you made a mistake in finding the slope.

Answer 17

you use the point (1,2) to find the equation of the line. it has slope 1/3 and goes through the point (1,2)

Answer 18

but somewhere when you went to compute the slope you had all the numbers correct, but you should have
\[\frac{4}{3\cdot 4}=\frac{1}{3}\] and it looks like you wrote something else

Answer 19

no actually i see you did write 1/3 but now you need to use it to find the equation of the tangent line.

Answer 20

I did write that made final answer after taking the derivative was 4/3(4x+4)^(2/3) and I just plug in 1 to solve for the slope which gave me 1/3

Answer 21

whew

Answer 22

correct

Answer 23

was all my others work right?

Answer 24

but now you have to find the equation of the line through (1,2) with slope 1/3, and i think you skipped that part

Answer 25

#10 is good we did that the other night i think

Answer 26

yeah

Answer 27

we did do it the other night

Answer 28

the rest look good too, but if you really want to check post them one at a time, and let some other eyes look at them. some are hard for me to read

Answer 29

ok thanks!