The answer is -5
Explanation:
-6 + 3 x 4 -11=
-6 + 12 -11=
+ 6 -11 = -5
nothing can be further simplify in this problem
3x - 8 = 2x + 15
Add 8 to both sides
3x = 2x + 23
Subtract 2x from both sides
x = 23
Answer: acute
Step-by-step explanation: it is less than 90 degrees so it is less the right angle
The equation of the tangent line at x=1 can be written in point-slope form as
... L(x) = f'(1)(x -1) +f(1)
The derivative is ...
... f'(x) = 4x^3 +4x
so the slope of the tangent line is f'(1) = 4+4 = 8.
The value of the function at x=1 is
... f(1) = 1^4 +2·1^2 = 3
So, your linearization is ...
... L(x) = 8(x -1) +3
or
... L(x) = 8x -5