Answer:
D) 50,000
Step-by-step explanation:
5×10^4 is equivalent to 50,000. This is because, when solved, 5×10^4 gives a result of 50,000 as shown below:
10^4= 10*10*10*10= 10,000
5*10= 50
So, 5×10^4= 10,000*50 = 50,000
Answer:
Problem 20)
Problem 21)
A)
The velocity function is:
The acceleration function is:
B)
Step-by-step explanation:
Problem 20)
We want to differentiate the equation:
We can take the natural log of both sides. This yields:
Since ln(aᵇ) = bln(a):
Take the derivative of both sides with respect to <em>x: </em>
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Implicitly differentiate the left and use the product rule on the right. Therefore:
Simplify:
Simplify and multiply both sides by <em>y: </em>
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Since <em>y</em> = (cos x)ˣ:
Problem 21)
We are given the position function of a particle:
A)
Recall that the velocity function is the derivative of the position function. Hence:
Differentiate:
The acceleration function is the derivative of the velocity function. Hence:
Differentiate:
B)
The position at <em>t</em> = 0 will be:
The velocity at <em>t</em> = 0 will be:
And the acceleration at <em>t</em> = 0 will be:
You can make 22 batches of chocolate chip cookies. And for the second one you can make about 7 batches of lemon cookies