Answer:
f(x) = (x+10) + (5-2x)
Step-by-step explanation:
10 is added to x.
5 subtracts 2x.
Add these together in front of f(x) =
f(x) = (x+10) + (5-2x)
Answer:
Undefined/infinity
Step-by-step explanation:
(1,1) and (1.2) lie on a vertical line x = 1
Slope of a vertical line is undefined.. approaches infinity
It would be 7/10 as a fraction
Answer:
option D is correct answer. ( 2, 2)
Answer:
B) -3.464
Step-by-step explanation:
∫₀³ g'(x) cos²(2g(x) + 1) dx
Using u substitution:
u = 2g(x) + 1
du = 2g'(x) dx
½ du = g'(x) dx
When x = 0, u = 11.
When x = 3, u = -3.
½ ∫₁₁⁻³ cos²(u) du
You can use a calculator to solve this, or you can evaluate algebraically.
Use power reduction formula:
½ ∫ (½ + ½ cos(2u)) du
¼ ∫ du + ¼ ∫ cos(2u) du
¼ ∫ du + ⅛ ∫ 2 cos(2u) du
¼ u + ⅛ sin(2u) + C
Evaluating from u = 11 to u = -3:
[¼ (-3) + ⅛ sin(-6) + C] − [¼ (11) + ⅛ sin(22) + C]
-⁷/₂ + ⅛ sin(-6) − ⅛ sin(22)
−3.464
