Firstly , before solving the equation , we should know about the chain rule and its formula.
<u>Formula</u><u> </u><u>For</u><u> </u><u>the</u><u> </u><u>Chain</u><u> </u><u>rule-</u>
$\rightarrow$ $\sf\dfrac\pink{dy}\pink{dx}$=$\sf\dfrac\pink{dy}\pink{du}$ $\times$ $\sf\dfrac\pink{du}\pink{dx}$ $\leftarrow$
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$\sf\huge\underline{\underline{Question:}}$
$\sf\small{Differentiate\: x\: the \:function: (3x² - 9x + 5²)}$
$\sf\huge\underline{\underline{Solution:}}$
$\sf{Let\:y = (3x^2 - 9x + 5)^9}$
$\space$
☆ Differentiating both the sides w.r.t.x using chain rule-
$\mapsto$
$\space$
$\space$
$\mapsto$ = $\sf\small{(3x^2-9+5)}$
$\space$
$\space$
$\mapsto$ =
$\space$
$\space$
$\mapsto$ = $\times$
$\space$
$\space$
$\mapsto$ =
$\space$
$\space$
$\sf\underline\bold\green{❍ dy:dx=27(3x^2-9x+5)^8(2x-3)}$
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Answer: 78 problems
Step-by-step explanation:
Let x = the total number of problems that Joe started with. Joe finished half of his homework questions at school. This means that he finished 1/2 × x = x/2 of the home work at school. What he has left is x - x/2 = x/2.
He completed one-third after practice. This means he completed 1/3 × x = x/3 after practice The number of problems left altogether would be total number of problems - the the sum of the amount he finished at school and the amount he completed after practice. It would be x -(x/2 + x /3) = x - 5x/6 = x/6
If he has 13 to more to finish, that means
x/6 = 13
x = 13×6 = 78 minutes
The appropriate numbers to fill in the magic squares are;
Row 2, Column 2 = 21/133
Row 2, Column 3 = 24/38
Row 3, Column 2 = 70/95
Row 3, Column 3 = 25/95
<h3>How to use magic squares?</h3>
To solve this magic square, we will follow the procedures below;
- Step 1; Convert all the numbers into lowest forms.
- Step 2; Find the sum of any column or row which is 34/19.
- Step 3; Put the numbers given in such positions that the sum of each row, column and diagonal is equal.
- Step 4; Write the numbers in their original form.
When we follow those steps above, we will arrive at the following figures;
Row 2, Column 2 = 21/133
Row 2, Column 3 = 24/38
Row 3, Column 2 = 70/95
Row 3, Column 3 = 25/95
Read more about Magic Squares at; brainly.com/question/16160523
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Answer 74. y=2x
a) The line passes thought the origin, This is true.
if x=0 ⇒y=2*0=0 then , the line passes thought the origin (0,0).
b)On the line the value of eche abcissa is twice the value of its corresponding ordenate, this is false.
if x =2 ⇒y=4, therefore on the line the value of each abcissa is half the value of its corresponding ordenate.
c)The line has a slope of 2; this is true
m=2
d)The line is parallel to a line passing throught point (1,-3) (3,1) this is true, because the slope is the same.
Given two points (x₁,y₁) and (x₂,y₂) the slope is:
m=(y₂-y₁) / (x₂-x₁)
inThis case:
m=(1+3) / (3-1)=4/2=2
Answer:b)On the line the value of eche abcissa is twice the value of its corresponding ordenate. This is not true
Answer:
the temperature was still suitable for the greenhouse
Step-by-step explanation: