Answer:
x = 16 2/3
Step-by-step explanation:
The altitude divides the triangle into similar triangles. We can form the ratio between the hypotenuse and the short leg for two of the triangles. Those ratios will be a proportion:
10/6 = ((x-6) +6)/10
100/6 = x . . . . . multiply by 10 and simplify
x = 16 2/3
Answer
given,

interval = [-32, 32]
differentiating the given equation


hence, the above solution is not defined at x = 0
and x = 0 lie in the given interval i.e. [-32, 32]
so, at x = 0 the function is not differentiable.
Hence, mean value theorem does not apply to the given function.
Answer:
Reflection in the x-axis
Step-by-step explanation:
If the point (x, y) of the shape is rotated 180° about the origin, it will be transformed into the point (-x, -y).
If the point (-x, -y) is reflected in the Y-axis, it will be transformed into the point (x, -y). This transformation is equivalent to the reflection of (x, y) in the x-axis.
Answer: -7cos(x)
Step-by-step explanation:
d/dx (f(x))= -7cos(x)