Answer:
Step-by-step explanation:
we would like to integrate the following Integral:
well, to get the constant we can consider the following Integration rule:
therefore,
recall exponent integration rule:
so let,
Thus integrate:
simplify addition:
reduce fraction:
finally we of course have to add the constant of integration:
hence,
our answer is D)
Answer:
(-4, 0) and (5/2, 0)
Step-by-step explanation:
if you graph the equation you can see where the curve intersects the x-axis or you can factor the equation into: (2x - 5)(x + 4) = 0
set each factor equal to zero and solve:
2x - 5 = 0
2x = 5
x = 5/2
x + 4 = 0
x = -4
1. We use the recursive formula to make the table of values:
f(1) = 35
f(2) = f(1) + f(2-1) = f(1) + f(1) = 35 + 35 = 70
f(3) = f(1) + f(3-1) = f(1) + f(2) = 35 + 70 = 105
f(4) = f(1) + f(4-1) = f(1) + f(3) = 35 + 105 = 140
f(5) = f(1) + f(5-1) = f(1) + f(4) = 35 + 140 = 175
2. We observe that the pattern is that for each increase of n by 1, the value of f(n) increases by 35. The explicit equation would be that f(n) = 35n. This fits with the description that Bill saves up $35 each week, thus meaning that he adds $35 to the previous week's value.
3. Therefore, the value of f(40) = 35*40 = 1400. This is easier than having to calculate each value from f(1) up to f(39) individually. The answer of 1400 means that Bill will have saved up $1400 after 40 weeks.
4. For the sequence of 5, 6, 8, 11, 15, 20, 26, 33, 41...
The first-order differences between each pair of terms is: 1, 2, 3, 4, 5, 6, 7, 8...since these differences form a linear equation, this sequence can be expressed as a quadratic equation. Since quadratics are functions (they do not have repeating values of the x-coordinate), therefore, this sequence can also be considered a function.
The answer to the equation is 14
I got x= 63/59
i used mathpapa.com for these questions hoped this is right and helped
