The volume is: 8*5*10.7 which is 428 cubic inches. I don’t know about the 2nd question tho...
We are given the function <span>f(x)=sqrt of (4sinx+2) and is asked to find the first derivative of the function when x is equal to zero.
</span><span>f(x)=sqrt of (4sinx+2)
f'(x) = 0.5 </span><span>(4sinx+2) ^ -0.5 * (4cosx)
</span>f'(0) = 0.5 <span>(4sin0+2) ^ -0.5 * (4cos0)
</span>f'(0) = 0.5 <span>(0+2) ^ -0.5 * (4*1)
</span>f'(x) = 0.5 (2) ^ -0.5 * (4)
f'(x) = -.1.65
Answer:
87.3
C=2πR ---} 2×43.668 ---} 87.336
De Moivre's Theorem states that if a complex number is written in the polar coordinate form [ r (cosθ +
sinθ)] and you raise it to the power n, then this can be evaluated by raising the modulus (r) to the power and multiply the argument (θ) by the power. This therefore would give r ⁿ [cos (nθ) +
sin (nθ)].
let A = ∛ <span>(8 cos (4π / 5) + 8 i sin (4π / 5))
</span>⇒ A = ∛ <span>(8 [cos (4π / 5) + i sin (4π / 5)])
</span>
Now by applying De Moivre's Theorem,
⇒ A =
[cos (
×
) +
sin (
×
)
⇒ A = 2 [ cos (
) +
sin (
)
⇒ A = 2 [0.0117 +
0.01297 ] rads
The correct roots of the equation are (a) 9 and 1
From the complete question, their mistakes are:
<u>Anu</u>
- Roots: 8 and 2
- Wrong constant term
<u>Aji</u>
- Roots: -9 and -1
- Wrong coefficient
A quadratic equation is represented as:
Where:
--- product of roots
--- sum of roots
Anu made a mistake in the constant term, so we consider the sum of roots
Aji made a mistake in the coefficient, so we consider the product of roots
The possible equations from the above sum and products are:
Of all the above equations, the most likely equation is , and it has a root of 9 and 1
Hence, the correct roots are (a) 9 and 1
Read more about roots of equations at:
brainly.com/question/3923172