Respuesta :
The correct representation are as follows:
Part (a): [tex]\boxed{m\cdot a=}[/tex]
Part (b): [tex]\boxed{2*\left(\text{cos}(2\cdot \theta)\right)-1=}[/tex]
Part (c): [tex]\boxed{a*\left(\text{sin}(x)\right)+15=}[/tex]
Part (d): [tex]\boxed{\sqrt{\dfrac{2\cdot g\cdot \triangle y}{m}}=}[/tex]
Part (e): [tex]\boxed{N_{0}\cdot e^{-(\lambda\cdot t)}}[/tex]
Further explanation:
in the question it is given that while writing any mathematical expression the symbol to be used for multiplication is [tex]\cdot\text{ dot}[/tex].
For example: [tex](2\times 3)[/tex] is incorrect and [tex](2\cdot 3)[/tex] is correct.
If a mathematical expression is to be written in its explicit form then the symbol [tex]*\text{ aestrick}[/tex] is used.
Part (a):
The expression given in part (a) is as follows:
[tex]ma=[/tex]
The correct representation of the above expression is as follows:
[tex]\boxed{m\cdot a=}[/tex]
For multiplication [tex]\cdot\text{ dot}[/tex] symbol is used.
Part (b):
The expression given in part (b) is as follows:
[tex]2\text{cos}(2\theta)-1=[/tex]
The correct representation of the above expression is as follows:
[tex]\boxed{2*\left(\text{cos}(2\cdot \theta)\right)-1=}[/tex]
For multiplication [tex]\cdot\text{ dot}[/tex] symbol is used.
Part (c):
The expression given in part (c) is as follows:
[tex]a\text{sin}(x)+15=[/tex]
The correct representation of the above expression is as follows:
[tex]\boxed{a*\left(\text{sin}(x)\right)+15=}[/tex]
Part (d):
The expression given in part (d) is as follows:
[tex]\sqrt{{2g\triangle y/m}=[/tex]
The correct representation of the above expression is as follows:
[tex]\boxed{\sqrt{\dfrac{2\cdot g\cdot \triangle y}{m}}=}[/tex]
For multiplication [tex]\cdot\text{ dot}[/tex] symbol is used.
Part (e):
The expression given in part (e) is as follows:
[tex]N_{0}e^{-\lambda t}[/tex]
The correct representation of the above expression is as follows:
[tex]\boxed{N_{0}\cdot e^{-(\lambda\cdot t)}}[/tex]
For multiplication [tex]\cdot\text{ dot}[/tex] symbol is used.
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Answer details:
Grade: College
Subject: Mathematics
Chapter: NA
Keywords: Expression, representation, ma, cdot, aestrick, wcos(2theta)-1, asin(x)+15, sqraureroot(2gdeltay/m), N0e-lamda t, lowercase greek, multiplication dot.
Basically, here we want to just rewrite all the multiplications using the * symbol, which represents multiplication in most common programmation languages and math calculators.
We usually do not use it when a scalar multiplies a variable, like in:
2x
but just to be complete, let's also use it as 2*x.
for example, the first expression we get is:
ma = m*a
b) Completing the others is trivial, we just need to identify where we have multiplications and add the correspondent symbol there.
[tex]2cos^2(\theta) - 1 = 2*cos^2(\theta) - 1[/tex]
c) asin(x)+15 =
Note that while "Asin(x)" is a function, I assume that here we have "a times sin(x)", so we will write:
[tex]asin(x) + 15 = a*sin(x) + 15[/tex]
D) (√(2gΔy)/m)
Here we have the term "Δy", this is not a multiplication, this means a "difference in the value of y", so we will leave it as it is.
[tex]\frac{\sqrt{2g\Delta y} }{m} = \frac{\sqrt{2*g*\Delta y} }{m}[/tex]
E) N0e−λt,
Here N0 is a term in itself, and actually should be written as N₀, so this is not N times zero.
So we will get:
[tex]N_0e -\lambda t = N_0*e - \lambda*t[/tex]
If instead of that, the right part was an exponent (I can't tell because of how you wrote it) we would get:
[tex]N_0e^{ -\lambda t} = N_0*e^{ - \lambda*t}[/tex]
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