Answer:
a) A-B = { 1 , 3, 5 }
b) The remainder is 50
c) f + g)(x) = x⁴+ 5x³
d) 
Step-by-step explanation:
Step(I):-
1) a)
Let A = { 1, 3, 5, 7 } and B = { 7 , 14 , 21 }
A - B = {1,3,5,7} - { 7,14,21}
A - B = { 1 , 3, 5}
b)
Given f (x)=3x³−11x−48
x-1 ) 3 x³ - 11x -48 (- 3x²-3x -2
-3<u>x³ +3x</u>²
3x²-11x-48
<u> -3x²+9x</u>
<u> </u> 2x -48
-2x +2
<u> </u>
50
The remainder is 50
c) Given f(x) = x³ and g(x) = x + 5
(f. g)(x) = f(x) .g(x) = x³ . (x+5) = x³(x) + 5 x³ = x⁴+ 5x³
d)
Given function y = 3 + x²+x³y³ ...(I)
By using derivative formulas
y = xⁿ
Apply d/dx ( UV) = U V¹ + V U¹
Differentiating equation (I) with respective to 'x' , we get
Answer:
The volume of the sawdust pile is 16041.7 feet.
Step-by-step explanation:
The sawdust pile formed is in the form of a cone.
The volume of a cone is:
The information provided is:
<em>r</em> = radius of the base = diameter ÷ 2 = (35 ÷ 2) feet
<em>h</em> = height = 50 feet
Compute the volume of the sawdust pile as follows:
Thus, the volume of the sawdust pile is 16041.7 feet.
The answer should be 21.6
Answer:
300 cm * 1 m / 1,000 cm = .3 m
45 m * 1 deka / 10 m = 4.5 dekameters
900 mm * 1 cm / 10 mm = 90 cm
Step-by-step explanation:
Turn it to improper fractions.
4 1/4 divided by 2/7
Divide them.
17/4 divided by 2/7
17 2 17 x 7
--- ÷ --- = --------- = 119/8 OR 14 7/8
4 7 4 x 2
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Distribute to take out the parentheses.
(x + 8) - (-3x - 5)
Combine like terms.
x + 8 + 3x + 5
Answer.
4x + 13
