Answer:
Step-by-step explanation:
Given
Length of curve

Length of curve is given by
over interval a to b
comparing two we get


integrating


Curve Passes through (1,2)


curve is

Answer:
Step-by-step explanation:
because both equations do not have matching numbers for the x or y variable, and both equations are positive you are going to have to multiply each equation by a number so that there will be at least one variable with the same number but with opposite signs.
it does not matter which variable you choose.
lets use y because 2 and 3 are smaller then 2 and 5.
so lets multiply the first equation by 2 in order to get y equal to 6.
2(2x)+2(3y)=(2)6
(do not forget to multiply what the equation is equal to also)
4x+6y=12
now for the second equation we need y to equal negative 6
-3(5x)+-3(2y)=-3(4)
-15x-6y=-12
now lets put the 2 new equations next to each other and see what we can cancel out
4x+6y=12
-15x-6y=-12
-11x=0
x=0
now plug 0 in for x and solve for y (it does not matter which of the 4 equations you choose to solve.
2(0)+3y=6
3y=6
y=2
so your answer is x=0, y=2
3. .5*60 because .5 represents the 5% and "of" stands for multiplication
Because of the radius of the cube the math answer has to be 4
The 9th student is in the middle.
⇒ There are 8 students before him
⇒ There are 8 students behind him
Total number of students = 8 + 1 + 8 = 17
Answer: 17