Answer:
(f-g)(x) = x^4 - x^3 - 4x^2 - 3
Step-by-step explanation:
(f-g)(x) = x^4 - x^2 + 9 - (x^3 + 3x^2 + 12)
(f-g)(x) = x^4 - x^2 + 9 - x^3 - 3x^2 - 12
(f-g)(x) = x^4 - x^3 - 4x^2 - 3
The required equation is y = 10000(1.0.25)^2x. The value of Christina’s investment after 20 years is $30,773.14
Compound interest
The interest accrued on a sum of money is known as interest. The formula for calculating the compound interest is expressed as:
y = y0(1+r/n)^nx
where
x is the time taken
r is the rate in decimal
n is the compounding time
Given the following
x = 20 years
n 2(semi annually)
r = 5.7% = 0.057
Substitute
y = 10000(1+0.057/2)^2(20)
y = 10,000(1 + 0.0285)^40
y = 10000(1.0285)^40
y = 30,773.14
Hence the value of Christina’s investment after 20 years is $30,773.14
Learn more on compound interest here: brainly.com/question/24924853
They can give them flaws and gave them overcome those flaws! Maybe it causes problems in the long run and they have to fix it to solve those problems?
Answer:
x³ sin(x)
Step-by-step explanation:
Tabular method is a special form of integration by parts. It works by taking derivatives of u and integrals of dv. You multiply diagonally, then sum the results, alternating the signs.
The important thing to note is that this will produce an antiderivative only if the derivatives of u eventually become 0. So the correct choice is x³ sin(x), because the derivatives of x³ eventually becomes 0:
d/dx (x³) = 3x²
d/dx (3x²) = 6x
d/dx (6x) = 6
d/dx (6) = 0