Find the first partial derivatives of the function. f(x, t) = e−9t cos(πx)
Answers
Answer:
Step-by-step explanation:
We are given the following function:
First derivatives:
We find the first derivatives in function of x and of t.
Function of x:
The exponential is only a function of t, so it is treated as a constant.
Function of t:
Same logic as above, the cosine as treated as a constant.
Final answer:
To find the first partial derivatives of the function e^(-9t) cos(πx), we differentiate the function with respect to x and t separately, treating the other variable as a constant. The partial derivative with respect to x is 9t sin(πx), while the partial derivative with respect to t is -e^(-9t) cos(πx).
Explanation:
To find the first partial derivatives of the function, we will differentiate the function with respect to each variable separately while treating the other variable as a constant.
For the partial derivative with respect to x, we can treat t as a constant. Differentiating e-9t cos(πx) with respect to x gives us -9t * (-sin(πx)) = 9t sin(πx).
For the partial derivative with respect to t, we can treat x as a constant. Differentiating e-9t cos(πx) with respect to t gives us -(e-9t) * cos(πx) = -e-9t cos(πx).
Learn more about partial derivatives here:
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Write an equation that illustrates the following: a number with two decimal places multiplied by a number with one decimal place the product has only 2 nonzero digits.
Which equation is equivalent to 4 x = t + 2s = t-2s=4/t+2s=t+2/4s=t+6
2 1/2
times this amount to make a shopping bag. How much fabric does Tara need to make the bag?
Answers
Answer:
amount of fabric to make the bag = 4 yards
Step-by-step explanation:
Tara has 1 3/5 yards of fabric . She needs extra 2 1/2 times the amount she have to make a shopping bag. The amount of fabric she needs to make the bag can be calculated as follows.
1 3/5 yards = 8/5 yards of fabrics
What she actually needs to make a shopping bag is two and half the amount she has . Mathematically, it can be express
2 1/2 × 8/5
Let us change 2 1/2 to improper fraction
amount of fabric to make the bag = 5/2 × 8/5
amount of fabric to make the bag = 40/10
amount of fabric to make the bag = 4 yards
Answers
9514 1404 393
Answer:
31.41 ft²
Step-by-step explanation:
Heron's formula is useful when you have the three side lengths.
A = √(s(s -a)(s -b)(s -c)) . . . . sides are a, b, c and s = (a+b+c)/2
Using the given side lengths, we have ...
s = (8 +8.4 +13.5)/2 = 29.9/2 = 14.95
A = √(14.95(14.95 -8)(14.95 -8.4)(14.95 -13.5)) = √(14.95×6.95×6.55×1.45)
A = √986.81399375 ≈ 31.41 . . . . square feet
Answers
Answer:
A
Step-by-step explanation:
Hope this helps man i have the same answer rn and im in middle school
Answers
Answer:
Let X be the rectangular distribution
where X is uniformly distribute(3,1)
b=1
a=1
The PMF will be
f(x)=1/b-a
f(x)=1/3-1
f(x)=1/2
f(x)=0.5
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Answer:
to find the right answer multiple by 2
Step-by-step explanation:
and you get 14/16
Answers
Grace's walking rate is 1.5 meters per second. Her house is 90 meters from the fountain. How many seconds will it take her to reach the fountain?
Answer: We know that Grace's walking rate is 1.5 meters per second
Number of meters Grace's house is from fountain is 90 meters.
Therefore, the time it will take Grace to reach the fountain is:
Therefore, it will take Grace 60 seconds to reach fountain
Speed=1.5
Distance=90 meters
Time=?
Distance= time × speed
Thus,
T=distance/speed
=90/1.5
= 60 second
= 1 minute