Get the derivative:
<em>y</em> = (9 - <em>x</em>²)¹ʹ³
d<em>y</em>/d<em>x</em> = 1/3 (9 - <em>x</em>²)⁻²ʹ³ d/d<em>x</em> [9 - <em>x</em>²]
d<em>y</em>/d<em>x</em> = 1/3 (9 - <em>x</em>²)⁻²ʹ³ (-2<em>x</em>)
d<em>y</em>/d<em>x</em> = -2/3 <em>x</em> (9 - <em>x</em>²)⁻²ʹ³
Evaluate it at <em>x</em> = 1 :
d<em>y</em>/d<em>x</em> (1) = -2/3 • 8⁻²ʹ³
Since 8 = 2³, we have
8⁻²ʹ³ = 1 / 8²ʹ³ = 1 / (2³)²ʹ³ = 1 / 2² = 1/4
Then the tangent line has equation
<em>y</em> - 2 = 1/4 (<em>x</em> - 1) → <em>y</em> = 1/4 <em>x</em> + 7/4
Answer: Multiplication
Step-by-step explanation:
Given
w/7=14
Multiply 7 on both sides
w/7 × 7=14 × 7
w=98
In order to isolate w on one side, we should times 7 as the numerator in order to eliminate the 7 in the denominator. To promise equality, we need to multiply 7 on both sides in order to isolate w and solve the equation.
<h2>Thus, it is multiplication.</h2>
The teacher ordered the students in 24 ways.
We have given that the total number of students is 4.
4 students are assigned to give presentations.
We have to find the arrangement of the 4 students.
<h3>What is the arrangement?</h3>
An arrangement (or ordering) of a set of objects is called a permutation. (We can also arrange just part of the set of objects.)
In a permutation, the order that we arrange the objects n is important.
4 students can be arranged by 4! ways.
Therefore option 3 is correct.
The teacher ordered the students in 24 ways.
To learn more about the permutation visit:
brainly.com/question/12468032
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Make her laugh, and laugh with her, do things she wants to do that you don't usually do, take her on a date to a fancy restaurant, compliment her on the little things about her.
The answer is Not Proportional. I have this test too. Hope it helps!
