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lara31
14 hours ago
8

What is the equation of the blue line

Mathematics
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R+5/mn=p solve for m
zzz [12365]
If you are referring to (r+5)/mn, then:
4 0
2 months ago
Let c1(t) = eti + (sin(t))j + t3k and c2(t) = e−ti + (cos(t))j − 6t3k. Find the stated derivatives in two different ways to veri
Zina [12379]

Answer:

i ( e^{t} - e^{-t})+ j (cost-sin t)+ k (-15t^{2})

\frac{d}{dx}(e^x) = e^x

Step-by-step explanation:

Step 1:-

We have c1(t) = e^ t i + (sin(t))j + t³k

and c2(t) = e^−t i + (cos(t))j − 6t³k.

By adding c1(t) and c2(t):

c1(t)+c2(t) = e^ t i + (sin(t))j + t³k + e^−t i + (cos(t))j − 6t³k

Now, employing the derivative formula:

\frac{d}{dx}(e^x) = e^x

\frac{d}{dx}(sinx) = cosx\\\frac{d}{dx}(cosx) = -sinx

Next, differentiate with respect to 't'

\frac{d}{dt}c_{1}+ c_{2} } = e^ t i +cost j +3t^2 k - e^-t i - sintj -18t^2 k

By factoring out i, j, and k terms, we arrive at:

\frac{d}{dt}(C_{1} +C_{2} ) = i ( e^{t} - e^{-t})+ j (cost-sin t)+ k (-15t^{2})

7 0
2 months ago
Select the correct answer. What is the greatest common factor of this expression? 12m + 18m2 A. 6m B. 6 C. 2m D. 2
Svet_ta [12734]
Regardless of the value of M, it will correspond to 18m squared.
7 0
2 months ago
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Greg builds a new pond which has a volume of 7.35m3, it is 4.2m long and 50cm deep, what is the width of the pond
AnnZ [12381]

The width of the pond is 3.5 meters.

6 0
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