Answer: (4, 8)
Step-by-step explanation:
When you translate something to the left you need to subtract the amount you moved left from the original x input
1. Subtract 3 from the coordinates x input
4 - 3 = 1
When you translate something up you need to add the amount you moved up to the original y output
2. Add 5 to the coordinates y output
-3 + 5 = 2
When done translating to the left and up your coordinate is now (1, 2)
When dialating something you need to multiply the scale factor in which you dialated the coordinate to both the x input and y output
3. Multiply 4 to the x input and y output of your newley translated coordinate
1 × 4 = 4 (x input)
2 × 4 = 8 (y output)
So now your final coordinate for C' is (4, 8)!
Hope this helps :)
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Answer: Line DB
Think of the two planes as pages in a book. They are joined by the spine, which is where the two planes intersect. In this case, that intersection is the line DB.
Point D is on both planes R and S. So is point B. Every point on line DB is found on both planes.
Answer:
Equation of tangent:
At point (1,0):
y = 2.713
Step-by-step explanation:
The equation of tangent line to the function can be calculated by taking the first derivative.
We have,
![y = xe^{x}-e^{x}\\\frac{dy}{dx}=\frac{d}{dx}[ xe^{x} ]-\frac{d}{dx} [e^{x}]\\](https://tex.z-dn.net/?f=y%20%3D%20xe%5E%7Bx%7D-e%5E%7Bx%7D%5C%5C%5Cfrac%7Bdy%7D%7Bdx%7D%3D%5Cfrac%7Bd%7D%7Bdx%7D%5B%20xe%5E%7Bx%7D%20%5D-%5Cfrac%7Bd%7D%7Bdx%7D%20%5Be%5E%7Bx%7D%5D%5C%5C)
Applying Product Rule:
d/dx [u.v] = (d/dx u) . (v) + (u) . (d/dx v)
Therefore,
The above equation is the equation of tangent line.
The point given is (1,0):
So,
