Answer:
y = 0
Step-by-step explanation:
Given
f(x) = 4x² +x⁵ +10x³ +5x+8x⁴
Required
Determine the y intercept
The y intercept of a function is a point where x = 0
So, we have to substitute 0 for x in the above function
f(x) = 4x² +x⁵ +10x³ +5x+8x⁴ becomes
f(0) = 4(0)² +(0)⁵ +10(0)³ +5(0)+8(0)⁴
f(0) = 4 * 0 + 0 + 10 * 0 + 5 * 0 + 8 * 0
f(0) = 0 + 0 + 0 + 0 + 0
f(0) = 0
Substitute y for f(0)
y = 0
Hence, the y intercept is 0
9,2.5,-4,-10.5,-17
Let's find the difference between two consecutive terms
2.5 - 9 = -6.5
-4 - 2.5 = -6.5
-10.5 - (-4) = -6.5
-17 -(-10.5) = -6.5
We can see that the common difference is -6.5
-6.5 is the common difference between successive terms in the sequence 9,2.5,-4,-10.5,-17
the common difference is negative because we subtract 6.5 to get the next term.
make a line going straight from (0,0) to (2,2) and so on and the other line starts at (0,0) and go to (1,1) and follow along the other line
Volume of the cone = 1/3 pi * 3^2 * 4 = 12pi
Volume of the hemisphere = 4/3 pi 3^3 * 1/2 = 18pi
So the volume of the toy = 12pi + 18pi = 30pi = 94.25 cm^3 to nearest hundredth Answer
Surface area of hemisphere = 1/2 * 4 pi 3^2 = 18pi
Lateral Surface area of the cone = pi r l where l = slant height of the cone
Now l= sqrt ( 4^2 + 3^2) = sqrt25 = 5
So lateral S A = 3 * 5 * pi = 15pi
Surface area of the toy = 18pi + 15pi = 33pi = 103.67 cm^2 ( nearest hundredth) Answer
