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Pavel [41]
3 years ago
10

What is the value of the function when x = −2, y =?

Mathematics
1 answer:
shtirl [24]3 years ago
3 0
As you can see on the graph, when x=-2, y=-3.
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Find the vectors T, N, and B at the given point. r(t) = < t^2, 2/3t^3, t >, (1, 2/3 ,1)
maxonik [38]

Answer with Step-by-step explanation:

We are given that

r(t)=< t^2,\frac{2}{3}t^3,t >

We have to find T,N and B at the given point t > (1,2/3,1)

r'(t)=

\mid r'(t) \mid=\sqrt{(2t)^2+(2t^2)^2+1}=\sqrt{(2t^2+1)^2}=2t^2+1

T(t)=\frac{r'(t)}{\mid r'(t)\mid}=\frac{}{2t^2+1}

Now, substitute t=1

T(1)=\frac{}{2+1}=\frac{1}{3}

T'(t)=\frac{-4t}{(2t^2+1)^2} +\frac{1}{2t^2+1}

T'(1)=-\frac{4}{9}+\frac{1}{3}

T'(1)=\frac{1}{9}=

\mid T'(1)\mid=\sqrt{(\frac{-2}{9})^2+(\frac{4}{9})^2+(\frac{-4}{9})^2}=\sqrt{\frac{36}{81}}=\frac{2}{3}

N(1)=\frac{T'(1)}{\mid T'(1)\mid}

N(1)=\frac{}{\frac{2}{3}}=

N(1)=

B(1)=T(1)\times N(1)

B(1)=\begin{vmatrix}i&j&k\\\frac{2}{3}&\frac{2}{3}&\frac{1}{3}\\\frac{-1}{3}&\frac{2}{3}&\frac{-2}{3}\end{vmatrix}

B(1)=i(\frac{-4}{9}-\frac{2}{9})-j(\frac{-4}{9}+\frac{1}{3})+k(\frac{4}{9}+\frac{2}{9})

B(1)=-\frac{2}{3}i+\frac{1}{3}j+\frac{2}{3}k

B(1)=\frac{1}{3}

5 0
3 years ago
What is the sum of 3.6 x 10^3 and 6.1 x 10^3?
g100num [7]
9.7 x 10^3

It is the same as 3600 + 6100 = 9700 => 9.7 X 10^3
7 0
3 years ago
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Colt1911 [192]
The answer is 35 !!!!!!!!!!!!!
6 0
3 years ago
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If f(x)=x-2 which of the following is the inverse of f(x) brainly
Lostsunrise [7]

Answer:

The inverse of f(x) is  f ^ {- 1}(x) = x + 2

Step-by-step explanation:

To find the inverse of the function f (x) = x-2, perform the following steps:

1) do y = f (x)

y = x-2

2) Solve the equation for the variable x.

y + 2 = x -2 +2

y + 2 = x

3) exchange the variable x with the variable y

y + 2 = x ----> x + 2 = y

4) Change the variable y by f ^{- 1}(x)

Finally the inverse function is:

 f ^ {- 1} (x) = x + 2

4 0
3 years ago
(3 x 10-8exopet -8<br> )(3 x 10exponet9)
valina [46]

Answer:

=66.501505not9x21−1310.355601no2pt10x12−177.337346not9x11

Step-by-step explanation:

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