Answer:
d³y/dx³ = (-2xy² − 3x³ − 4xy²) / (8y⁵)
Step-by-step explanation:
d²y/dx² = (-2y² − x²) / (4y³)
Take the derivative (use quotient rule and chain rule):
d³y/dx³ = [ (4y³) (-4y dy/dx − 2x) − (-2y² − x²) (12y² dy/dx) ] / (4y³)²
d³y/dx³ = [ (-16y⁴ dy/dx − 8xy³ − (-24y⁴ dy/dx − 12x²y² dy/dx) ] / (16y⁶)
d³y/dx³ = (-16y⁴ dy/dx − 8xy³ + 24y⁴ dy/dx + 12x²y² dy/dx) / (16y⁶)
d³y/dx³ = ((8y⁴ + 12x²y²) dy/dx − 8xy³) / (16y⁶)
d³y/dx³ = ((2y² + 3x²) dy/dx − 2xy) / (4y⁴)
Substitute:
d³y/dx³ = ((2y² + 3x²) (-x / (2y)) − 2xy) / (4y⁴)
d³y/dx³ = ((2y² + 3x²) (-x) − 4xy²) / (8y⁵)
d³y/dx³ = (-2xy² − 3x³ − 4xy²) / (8y⁵)
What I like to do to solve these is to divide the 175 by 100 because that's kind of what it relates to a percent... and then I multiply by 96. So in this problem:
175/100= 1.75
1.75 x 94 and then that equals your answer 164.50 euros is the new cost of the ticket.
Hope this Helps!
P.S a thanks or brainliest would mean a lot. :)
Answer:
Step-by-step explanation:
Let x and y represent the cost of a cupcake and cookie respectively.
Given that;
Five cupcakes and two cookies cost $19.75.
Two cupcakes and four cookies cost $17.50.
Let's solve the simultaneous equation by elimination;
Multiply equation 1 by 2;
Subtract equation 2 from equation 3;
divide both sides by 8
Since we have the value of x, let substitute into equation 1 to get y;
therefore , the cost of cupcakes and cookies are;
PLEASE MARK ME AS BRAINLIEST
Answer:
an = 1/2 (4)^ (n-1)
a6 = 512
Step-by-step explanation:
The formula for a geometric sequence is
an = a1 (r)^(n-1)
where an is the term of the sequence
a1 is the initial term of the sequence
r is the ratio
and n is the term number
We know a1 = 1/2 and r =4
I will assume that x=6 means we want to know the 6th term
an = 1/2 (4)^ (n-1)
We want to find the 6th term
a6 = 1/2 * 4^(6-1)
a6 = 1/2 * 4^5
a6 = 512
Answer:1 2/3
Step-by-step explanation:
6 uses 1 1/4. To improper fraction 6 uses 5/4. Thus 1 will use 5/4 ×1/6= 5/24. Then 8 will use 8×5/24=5/3=1 2/3
