Your last visit is to the famous tourist attraction, the one and only Empire State Building! Your Boss wants you to double check
your coworker’s measurements to determine if the scale drawing replicated is proportional to the actual Empire State Building.
Lastly, your Boss wants to know if your coworker’s scale drawing is an enlargement or reduction? Your coworker’s dimensions are 5.15 by 6.30 square feet. While the Empire State Building is 7.21 by ________________. What is the missing measurement of the side?Is this an enlargement or reduction?Explain why.
(Please explain thoroughly step by step how you solved the problem.If you can,please provide an image of how you solved the problem.)
Lastly, your Boss wants to know if your coworker’s scale drawing is an enlargement or reduction? Your coworker’s dimensions are 5.15 by 6.30 square feet. While the Empire State Building is 7.21 by ________________. What is the missing measurement of the side?Is this an enlargement or reduction?Explain why.
(Please explain thoroughly step by step how you solved the problem.If you can,please provide an image of how you solved the problem.)
1 answer:
You might be interested in
If you're using the app, try seeing this answer through your browser: brainly.com/question/2867070
_______________
dy
Find —— for an implicit function:
dx
cos(xy) = 3x + 1.
First, differentiate implicitly both sides with respect to x. Keep in mind that y is not just a variable, but it is also a function of x, so you have to use the chain rule there:
![\mathsf{\dfrac{d}{dx}\big[cos(xy)\big]=\dfrac{d}{dx}(3x+1)}\\\\\\ \mathsf{-\,sin(xy)\cdot \dfrac{d}{dx}(xy)=\dfrac{d}{dx}(3x)+\dfrac{d}{dx}(1)}](https://tex.z-dn.net/?f=%5Cmathsf%7B%5Cdfrac%7Bd%7D%7Bdx%7D%5Cbig%5Bcos%28xy%29%5Cbig%5D%3D%5Cdfrac%7Bd%7D%7Bdx%7D%283x%2B1%29%7D%5C%5C%5C%5C%5C%5C%0A%5Cmathsf%7B-%5C%2Csin%28xy%29%5Ccdot%20%5Cdfrac%7Bd%7D%7Bdx%7D%28xy%29%3D%5Cdfrac%7Bd%7D%7Bdx%7D%283x%29%2B%5Cdfrac%7Bd%7D%7Bdx%7D%281%29%7D)
Apply the product rule to differentiate that term at the left-hand side:
![\mathsf{-\,sin(xy)\cdot \left[\dfrac{d}{dx}(x)\cdot y+x\cdot \dfrac{dy}{dx}\right]=3+0}\\\\\\ \mathsf{-\,sin(xy)\cdot \left[1\cdot y+x\cdot \dfrac{dy}{dx}\right]=3}\\\\\\ \mathsf{-\,sin(xy)\cdot \left[y+x\cdot \dfrac{dy}{dx}\right]=3}](https://tex.z-dn.net/?f=%5Cmathsf%7B-%5C%2Csin%28xy%29%5Ccdot%20%5Cleft%5B%5Cdfrac%7Bd%7D%7Bdx%7D%28x%29%5Ccdot%20y%2Bx%5Ccdot%20%5Cdfrac%7Bdy%7D%7Bdx%7D%5Cright%5D%3D3%2B0%7D%5C%5C%5C%5C%5C%5C%0A%5Cmathsf%7B-%5C%2Csin%28xy%29%5Ccdot%20%5Cleft%5B1%5Ccdot%20y%2Bx%5Ccdot%20%5Cdfrac%7Bdy%7D%7Bdx%7D%5Cright%5D%3D3%7D%5C%5C%5C%5C%5C%5C%0A%5Cmathsf%7B-%5C%2Csin%28xy%29%5Ccdot%20%5Cleft%5By%2Bx%5Ccdot%20%5Cdfrac%7Bdy%7D%7Bdx%7D%5Cright%5D%3D3%7D)
Now, multiply out the terms to get rid of the brackets at the left-hand
dy
side, and then isolate —— :
dx
and there it is.
I hope this helps. =)
Tags: <span><em>implicit function derivative implicit differentiation chain product rule differential integral calculus</em>
</span>
_______________
dy
Find —— for an implicit function:
dx
cos(xy) = 3x + 1.
First, differentiate implicitly both sides with respect to x. Keep in mind that y is not just a variable, but it is also a function of x, so you have to use the chain rule there:
Apply the product rule to differentiate that term at the left-hand side:
Now, multiply out the terms to get rid of the brackets at the left-hand
dy
side, and then isolate —— :
dx
and there it is.
I hope this helps. =)
Tags: <span><em>implicit function derivative implicit differentiation chain product rule differential integral calculus</em>
</span>
Answer:
-42
Step-by-step explanation:
directly means y = kx where k is a constant. you have to first find the constant.
now you have your equation
so you simply plug in x and find y
Given a scalar number 
and a vector v, the product between and v is a vector, with
- magnitude given by the product between the absolute value of and the magnitude of v
- direction given by the sign of: if a is positive, the final vector has same direction of v; if a is negative, the final vector has opposite direction to v.
In our problem, the scalar number is
. This means that the product between the vector and this number:
- has magnitude equal to
times the magnitude of the vector
- has opposite direction with respect to the original vector (because the scalar is negative)
Therefore, the correct answer is
<span>B.) The vector will change direction and decrease in magnitude.</span>
- magnitude given by the product between the absolute value of
- direction given by the sign of
In our problem, the scalar number is
- has magnitude equal to
- has opposite direction with respect to the original vector (because the scalar
Therefore, the correct answer is
<span>B.) The vector will change direction and decrease in magnitude.</span>