Answer:
A. FALSE
B. TRUE
C. FALSE
D. NOT POSSIBLE TO DETERMINE
Step-by-step explanation:
(A) FALSE. since the power series ∑
has radius of convergence |-4|=4 ans 7> 4 which is beyond its radius of convergence. thus by the theorem of power series, the series diverges at 10.
(B)TRUE. since the radius of convergence of the power series ∑
must be at least |-4| = 4 and 3 lies within this radius, thus it converges at x=3
(C)FALSE the series does not diverge at x=1, since 1 is within its radius of convergence |-4| = 4
(D)NOT POSSIBLE TO DETERMINE
At x=6, it is beyond its radius of convergence but has not attain its divergence point. thus it is not possible to determine.
Answer:
159.25 ft²
I hope this helps! :)
Step-by-step explanation:
Formulas:
For the Rectangle... <em>bh = a</em>
For the Semicircle... 1/2 × πr²
Step 1:
Solve the area for the rectangle:
<em>bh = a</em>
10 × 12 = 120
a = 120 ft²
Step 2:
Solve the Area for the Semicircle:
1/2 × πr²
1/2 × 3.14 = 1.57
Radius = Diameter ÷ 2
10 ÷ 2 = 5
Radius = 5
1.57 × 5²
1.57 × 5 × 5
= 39.25 ft²
Step 3:
Add the two areas together:
120 + 39.25 = 159.25 ft²
Answer:
1-a
2-a
3-b
Step-by-step explanation:
hope that helps
Note:
sin(-θ) = -sinθ
sin(-15°) = -sin15° Use a calculator
sin(-15°) = -sin15° = -0.2588
sin(-15°) = -0.2588
Answer:
7 hours
Step-by-step explanation:
715 / 13 = 55 miles per hour
385 / 55 = 7 hours
Best of Luck!