Answer:
-14x²-35x+13
Step-by-step explanation:
Hope this helped!
Answer:
A≈1206.37 cm²
Step-by-step explanation:
Radius = 12
Height = 16
Using the formulas
A= πrl+πr²
l = √r²+h²
A=πr(r + √h²+r²)=
π·12·(12+√16²+12²) ≈1206.37158cm²
Answer:
s(2) = 7.75
Step-by-step explanation:
given the velocity v(t) = t^3
we can find the position s(t) by simply integrating v(t) and using the boundary conditions s(1)=2

we know throught s(1) = 2, that at t=1, s =2. we can use this to find the value of the constant c.

Now we can use this value of t to formulate the position function s(t):

this is the position at time t.
to find the position at t=2



the position of the particle at time, t =2 is s(2) = 7.75
Answer:

Step-by-step explanation:
Given


Required
Solve
Substitute 9 for x in 


Remove bracket




Simplify fraction

Answer:
96
Step-by-step explanation:
commom difference = d
a₆ + a₇ = 16
a₅ + a₈ = (a₆ - d) + (a₇ + d) = a₆ + a₇ = 16
a₄ + a₉ = (a₆ - 2d) + (a₇ + 2d) = a₆ + a₇ = 16
Similarly,
a₃ + a₁₀ = 16, a₂ + a₁₁ = 16, a₁ + a₁₂ = 16
so
a₁ + a₂ + ... + a₁₁ + a₁₂ = 6 x 16 = 96