It’s the reflexive property
Answer:
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Step-by-step explanation:
Answer:
f(x)=-18x^2
Step-by-step explanation:
Given:
1+Integral(f(t)/t^6, t=a..x)=6x^-3
Let's get rid of integral by differentiating both sides.
Using fundamental of calculus and power rule(integration):
0+f(x)/x^6=-18x^-4
Additive Identity property applied:
f(x)/x^6=-18x^-4
Multiply both sides by x^6:
f(x)=-18x^-4×x^6
Power rule (exponents) applied"
f(x)=-18x^2
Check:
1+Integral(-18t^2/t^6, t=a..x)=6x^-3
1+Integral(-18t^-4, t=a..x)=6x^-3
1+(-18t^-3/-3, t=a..x)=6x^-3
1+(6t^-3, t=a..x)=6x^-3
That looks great since those powers are the same on both side after integration.
Plug in limits:
1+(6x^-3-6a^-3)=6x^-3
We need 1-6a^-3=0 so that the equation holds true for all x.
Subtract 1 on both sides:
-6a^-3=-1
Divide both sides by-6:
a^-3=1/6
Raise both sides to -1/3 power:
a=(1/6)^(-1/3)
Negative exponent just refers to reciprocal of our base:
a=6^(1/3)
Answer:
f(-2) = +2
Step-by-step explanation:
Let x = -2
So,
f(x) = 4x + 10
Substituting the value of x gives ,
f(-2) = 4 × (-2) + 10 = 10 - 8 = 2
Answer:
Savings = $13
Step-by-step explanation:
$0.12 = 1 kilowatt-hour
So,
For Top-Freezer Refridgerator:
$0.12 × 529 = 1 × 529 kilowatt-hour
$63.48 = 529 kilowatt-hour
For Side-by-Side Refridgerator:
$0.12 × 634 = 1 × 634 kilowatt-hour
$76.08 = 634 kilowatt-hour
Savings = Side-by-Side Refridgerator - Top-
Freezer Refridgerator
Savings = $( 76.08 -63.48 )
Savings = $12.6
Savings = $13
