To find the derivative, you must use the chain rule.
If u=x^3+2x:
dy/dx=(dy/du)(du/dx)
dy/du=d/du(e^u)=e^u=e^(x^3 + 2x)
du/dx =d/dx (x^3+2x) = 3x^2 + 2
So dy/dx=
e^(x^3+2x) * (3x^2+ 2)
They are all true None are false
Answer: The cost of 5.5 pounds strawberries =$ 7.98
Step-by-step explanation:
Given: A local grocery story has strawberries on sale for $1.45 per pound.
i.e. Cost for 1 pound strawberries = $1.45
Now, Cost of 5.5 pounds strawberries = 5.5 x (Cost for 1 pound strawberries)
= $ (5.5 x 1.45)
= $ 7.975 ≈ $ 7.98 [ Round to the nearest penny]
Hence, the cost of 5.5 pounds strawberries =$ 7.98
Answer:
ABCD and EFGH
ABCD and PQRS (or EFGH and PQRS)
Dilate by a scale factor of 3
Step-by-step explanation:
Congruent means they have the same shape and size.
Similar means they have the same shape, but not necessarily the same size.
The orientation (rotation angle) or position do not matter.
EFGH is reflected and rotated, so it maintains the same shape and size as ABCD. Therefore, they are congruent.
PQRS is scaled and translated, so it has the same shape, but different size than ABCD. Therefore, they are similar but not congruent.
Also, PQRS is similar to EFGH, but not congruent.
To make EFGH congruent to PQRS, we need to make it the same size. So we need to scale EFGH by a factor of 3.
