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:
iv. q/6E0
Step-by-step explanation:
Electric flux formula:
The electic flux formula, of a charge q is given by, through an entire cube, is given by:

In which
is a constant related to the material.
The electric flux through any one face of the cube is:
Key-word is face, and a cube has 6 faces, with the force distributed evenly throughout it. Thus

And the correct answer is given by option iv.
Answer:
1. 150 2.55 3.63 4.325
Step-by-step explanation:
1. 180 minus 30 2. 180 minus 125 3. 90 minus 27 4. 380 minus 35
Answer:
From our calculations the large jar is the best value for money because a penny buys more honey
Step-by-step explanation:
<h2>In this problem we are expected to determine which purchase of honey is the cheapest ? large jar or small jar ?.</h2><h2 />
We will determine which has the best value for money using the quantity a pound can purchase.
firstly for the large jar.
if £4.10 will purchase 540g of honey then,
£1.00 will purchase xg
cross multiplying to find x will have


Hence for the large jar a penny would buy 131.7g of honey
secondly for the small jar
if £2.81 will purchase 360g of honey then,
£1.00 will purchase xg
cross multiplying to find x will have

Hence for the small jar a penny would buy 128.1g of honey
If you are trying to find the area the answer would be 48