Answer:
3. 40 4. 132
Step-by-step explanation:
you multiply the length and the width
Answer:
y = 2x − 1
Step-by-step explanation:
By eliminating the parameter, first solve for t:
x = 4 + ln(t)
x − 4 = ln(t)
e^(x − 4) = t
Substitute:
y = t² + 6
y = (e^(x − 4))² + 6
y = e^(2x − 8) + 6
Taking derivative using chain rule:
dy/dx = e^(2x − 8) (2)
dy/dx = 2 e^(2x − 8)
Evaluating at x = 4:
dy/dx = 2 e^(8 − 8)
dy/dx = 2
Writing equation of line using point-slope form:
y − 7 = 2 (x − 4)
y = 2x − 1
Now, without eliminating the parameter, take derivative with respect to t:
x = 4 + ln(t)
dx/dt = 1/t
y = t² + 6
dy/dt = 2t
Finding dy/dx:
dy/dx = (dy/dt) / (dx/dt)
dy/dx = (2t) / (1/t)
dy/dx = 2t²
At the point (4, 7), t = 1. Evaluating the derivative:
dy/dx = 2(1)²
dy/dx = 2
Writing equation of line using point-slope form:
y − 7 = 2 (x − 4)
y = 2x − 1
Answer:
the first one is 48 i will have to do more solving for it but when i do i will edit my answer
Step-by-step explanation:
Answer:
Step-by-step explanation:
Whenever we have been given to find the product of two square roots, the two roots cancel out each other. This is because 
The power of two and the square root cancel out each other
In the given problem we have to multiply the square root 10 by itself, we have
Now, the next step will be
Now the square root and the power of 2 cancel each other an d the result will be 10
Answer : 10
