Answer:
V = ∫∫∫rdrdθdz integrating from z = 2 to z = 4, r = 0 to √(16 - z²) and θ = 0 to 2π
Step-by-step explanation:
Since we have the radius of the sphere R = 4, we have R² = r² + z² where r = radius of cylinder in z-plane and z = height² of cylinder.
So, r = √(R² - z²)
r = √(4² - z²)
r = √(16 - z²)
Since the region is above the plane z = 2, we integrate z from z = 2 to z = R = 4
Our volume integral in cylindrical coordinates is thus
V = ∫∫∫rdrdθdz integrating from z = 2 to z = 4, r = 0 to √(16 - z²) and θ = 0 to 2π
Answer:
9) A
10) B
11) A
12) D
13) C
14) A
15) C
16) D
17) E (not sure, can't see full choice)
18) B
19) C
Explanation:
Hope this is what you're looking for friend :)
The answer is A because it is
No the product will be less than 9/10.
This can be easily seen if the fractions are converted into decimals.
The decimal form of the product of 7/8 and 9/10 is 0.867 while the decimal form of 9/10 is 0.9. Therefore, the product of 7/8 and 9/10 is not greater than 9/10
Answer:
Step-by-step explanation:
sides of triangle are (4+3) and (2+3)
or 7,5
area of triangle=1/2×7×5=35/2=17.5 cm²
area of rectangle=3×2=6 cm²
area of shaded region=17.5-6=11.5 cm²
