The derivative of f(x) at x=3 is 2x=6 approaching from the left side (apply power rule to y=x^2). The derivative of f(x) at x=3 is m approaching from the right side. In order for the function to be differentiable, the limit of derivative at x=3 must be the same approaching from both sides, so m=6. Then, x^2=mx+b at x=3, plug in m=6, 9=18+b, so b=-9.
Answer:
1.93433
Step-by-step explanation:
Since all triangles have an interior angle sum of 180, the second angle is 45. this also means that x and y are equal. Using the pythagorean theorem, we can produce the equation
. dividing both sides by two we get
. when we take the square root of root 14 we get 1.934335

- Determine the surface area of the right square pyramid.

The formula for finding the surface area of a right square pyramid is ⇨ b² + 2bl, where
- b = base of the right square pyramid
- l = slant height of the right square pyramid.
In the given figure,
- base (b) = 4 ft.
- slant height (l) = 8 ft.
Now, let's substitute the values of b & l in the formula & solve it :-

So, the surface area of the right square pyramid is <u>8</u><u>0</u><u> </u><u>ft²</u><u>.</u>