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ycow [4]
3 years ago
9

Find the differential dy if y=sin(x^2).

Mathematics
1 answer:
diamong [38]3 years ago
5 0
Hello,

dy=cos(x²)*2x *dx
==============
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What is the volume of this composite solid?<br> 2 m<br> 8 m<br> 3 m<br> 5 m
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Answer:

240

Step-by-step explanation:

2*8*3*5

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.............................
konstantin123 [22]

{ \qquad\qquad\huge\underline{{\sf Answer}}}

Here we go ~

\qquad \sf  \dashrightarrow \:  \cfrac{9 {}^{(x + 1)}  - 3 {}^{2x} }{4 \times 3 {}^{(2x - 1)} }

\qquad \sf  \dashrightarrow \:  \cfrac{3{}^{2(x + 1)}  - 3 {}^{2x} }{4 \times 3 {}^{(2x - 1)} }

\qquad \sf  \dashrightarrow \:  \cfrac{3{}^{(2x + 2)}  - 3 {}^{2x} }{4 \times 3 {}^{(2x - 1)} }

here :

  • { \sf {3}^{(2x+2)}=({3}^{2x - 1})\sdot (3³)}

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\qquad \sf  \dashrightarrow \:  \cfrac{3{}^{(2x  - 1)}(3 {}^{3}   - 3 {}^{1}) }{4 \times 3 {}^{(2x - 1)} }

[ taking { \sf {3}^{(2x - 1)} }common here ]

\qquad \sf  \dashrightarrow \:  \cfrac{27 {}^{}   - 3 {}^{}}{4  }

\qquad \sf  \dashrightarrow \:  \cfrac{24{}^{}   {}^{}}{4  }

\qquad \sf  \dashrightarrow \: 6

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Let f(x)=x−4<br> and g(x)=−2x+4<br><br> Find g(f(2))<br><br> 0<br><br> −12<br><br> 8<br><br> −8
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Answer:

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Step-by-step explanation:

This one is similar to the other one done with graphs , the only difference is we have equations instead of graphs.

Like the other one, we want to find f(2) and whatever that equals we plug into g(x) to find g(f(2))

So first lets find f(2)

f(x) = x - 4

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now lets find g(-2)

g(x) = -2x + 4

g(-2) = -2(-2) + 4

multiply -2 and -2 to get 4

g(-2) = 4 + 4

add 4 and 4 to get 8

g(-2) = 8

We can conclude that g(f(2)) = 8

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Is y=x^2+4 a function
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Step-by-step explanation:

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