Answer:
7.5d
Step-by-step explanation:
The n th term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = d, thus
= d + 7d = 7 d = 7.5d
Answer:
squr. 39
Step-by-step explanation:
See attached graph.
Form a right triangles and determine the length of the two sides (BC and AC). Then calculate the hypotenuse (AB) with the Pythagorean Theorem.
AB = 13
I'm not sure what "squr.3AB really means. 3AB is 39. The square root of 39 is 6.4, if square root is what is meant.
Chain rule
y=f(g(x))
y´=(d f(gx)/d g)(d g/d x)
or
y=y(v) and v=v(x), then dy /dx=(dy/dv)(dv/dx)
in our case:
y=sin (v)
v=arcsin(x)
dy/dv=d sin (v)/dv=cos (v)=cos(arcsin(x)
dv/dx=d arcsin(x)/dx=1/√(1-x²)
dy/dx=[cos (arcsin(x))]/√(1-x²)
Answer: d sin(arcsin(x))/dx=[cos (arcsin(x))]/√(1-x²)