I haven't learned antiderivitives yet but I can try to logic it
<span>First find f′ and then find f. f′′(x)=3x^3+6x^2−x+2, f′(1)=9, f(1)=−7.
we reverse chain rule
3x^3, we know that it was a 4th degree thing, and the coefient is 3, so
4*what=3?, answer is 3/4
3/4x^4
6x^2
we know it was x^3, and the coefient is now 6 so
3*what=6? what=2
2x^3
-1x, the power was 2 and coefient is now -1, so
2 times what=-1?, -1/2
-1/2x^2
2, that is from 2x
so
</span>
<span>3/4x^4+2x^3-1/2x^2+2x=f'(x)
test x=1
(3/4)(1)+2(1)-(1/2)(1)+2(1)=
3/4+2-2/4+2=
4 and 1/4 we need to get it to 9
4 and 1/4 +what=9
answer is 4 and 3/4
so we add that to the end since it will become 0 from derivitive
</span>
<span>f'(x)=3/4x^4+2x^3-1/2x^2+2x+4 and 3/4
now reverse drivitive again
3/4x^4
exponent is 5 and coefient is 3/4
5 times what=3/4? answer is 3/20
3/20x^5
2x^3
exponent should be 4 and coefient is 2
4 times what=2? answer is 1/2
1/2x^4
-1/2x^2
exponent should be 3 and coefient is -1/2
3 times what=-1/2? answer is -1/6
-1/6x^3
2x
exponent should be 2 and coefient is 2
2 times what=2? answer is 1
1x^2
4 and 3/4 turns to (4 and 3/4)x
</span>
<span>f(x)=3/20x^5+1/2x^4-1/6x^3+x^2+(4 and 3/4)x
try evaluating it for x=1
f(1)=(3/20)+(10/20)-(10/50)+1+(19/4)
f(1)=6 and 7/30
what do we add to get -7
-13 and 7/30
</span>
<span><span>f(x)=3/20x^5+1/2x^4-1/6x^3+x^2+(4 and 3/4)x-13 and 7/30
</span>
</span>ANSWER
<span>f'(x)=3/4x^4+2x^3-1/2x^2+2x+19/4
</span><span>f(x)=3/20x^5+1/2x^4-1/6x^3+x^2+19/4x-187/30</span>
Answer:
The length of XY is either 10 or 2.5.
Step-by-step explanation:
Given information: ZY = 5, XC = 3 and DC = 4.
Case 1: Rectangle ABCD is smaller than ZBXY.
The opposite sides of the rectangle are same.
The length of ABCD is 4 and width of ABCD is 2. The width of ZBXY is 5. The corresponding sides of the similar rectangles are is in the same proportion.
Therefore the value of XY is 10.
Case 2: Rectangle ABCD is larger than ZBXY.
The length of ABCD is 4 and width of ABCD is 8. The width of ZBXY is 5. The corresponding sides of the similar rectangles are is in the same proportion.
Therefore the value of XY is 2.5.
Answer:
Step-by-step explanation:
The Simple Interest Equation is 
where
A = Total Accrued Amount (principal + interest)
P = Principal Amount
I = Interest Amount
t = Time Period involved in months or years
In this case, we do not know the values of the equation (A and P), but we know the amount of interest accrued
If we define our principal whit this formula, we are able to know the rest of the values:
clearing
replacing
Solving
Answer:
24) A
22) B
Step-by-step explanation:
24)
Original Price: d
Sale: 30%
A sale means that a value is subtracted from the original price
d - 30% = 0.7d
All options given:
A) 0.3d
B) 0.7d
C) d - 0.3d = 0.7d
D) (1.0 - 0.3)d = 0.7(d) = 0.7d
All of these options are equal to the price after the sale, except A.
A is the answer to question 24
22) m > 0, n > 0 Use an example to represent m and n
m = 1, n = 2 = -0.5
-0.5 is a rational, negative number
The answer to question 22 is B
Hope this helps :)
35.53 is the answer I hoped that helped
