The correct representation are as follows:
Part (a): ![\boxed{m\cdot a=}](https://tex.z-dn.net/?f=%5Cboxed%7Bm%5Ccdot%20a%3D%7D)
Part (b): ![\boxed{2*\left(\text{cos}(2\cdot \theta)\right)-1=}](https://tex.z-dn.net/?f=%5Cboxed%7B2%2A%5Cleft%28%5Ctext%7Bcos%7D%282%5Ccdot%20%5Ctheta%29%5Cright%29-1%3D%7D)
Part (c): ![\boxed{a*\left(\text{sin}(x)\right)+15=}](https://tex.z-dn.net/?f=%5Cboxed%7Ba%2A%5Cleft%28%5Ctext%7Bsin%7D%28x%29%5Cright%29%2B15%3D%7D)
Part (d): ![\boxed{\sqrt{\dfrac{2\cdot g\cdot \triangle y}{m}}=}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Csqrt%7B%5Cdfrac%7B2%5Ccdot%20g%5Ccdot%20%5Ctriangle%20y%7D%7Bm%7D%7D%3D%7D)
Part (e): ![\boxed{N_{0}\cdot e^{-(\lambda\cdot t)}}](https://tex.z-dn.net/?f=%5Cboxed%7BN_%7B0%7D%5Ccdot%20e%5E%7B-%28%5Clambda%5Ccdot%20t%29%7D%7D)
Further explanation:
in the question it is given that while writing any mathematical expression the symbol to be used for multiplication is
.
For example:
is incorrect and
is correct.
If a mathematical expression is to be written in its explicit form then the symbol
is used.
Part (a):
The expression given in part (a) is as follows:
![ma=](https://tex.z-dn.net/?f=ma%3D)
The correct representation of the above expression is as follows:
![\boxed{m\cdot a=}](https://tex.z-dn.net/?f=%5Cboxed%7Bm%5Ccdot%20a%3D%7D)
For multiplication
symbol is used.
Part (b):
The expression given in part (b) is as follows:
![2\text{cos}(2\theta)-1=](https://tex.z-dn.net/?f=2%5Ctext%7Bcos%7D%282%5Ctheta%29-1%3D)
The correct representation of the above expression is as follows:
![\boxed{2*\left(\text{cos}(2\cdot \theta)\right)-1=}](https://tex.z-dn.net/?f=%5Cboxed%7B2%2A%5Cleft%28%5Ctext%7Bcos%7D%282%5Ccdot%20%5Ctheta%29%5Cright%29-1%3D%7D)
For multiplication
symbol is used.
Part (c):
The expression given in part (c) is as follows:
![a\text{sin}(x)+15=](https://tex.z-dn.net/?f=a%5Ctext%7Bsin%7D%28x%29%2B15%3D)
The correct representation of the above expression is as follows:
![\boxed{a*\left(\text{sin}(x)\right)+15=}](https://tex.z-dn.net/?f=%5Cboxed%7Ba%2A%5Cleft%28%5Ctext%7Bsin%7D%28x%29%5Cright%29%2B15%3D%7D)
Part (d):
The expression given in part (d) is as follows:
![\sqrt{{2g\triangle y/m}=](https://tex.z-dn.net/?f=%5Csqrt%7B%7B2g%5Ctriangle%20y%2Fm%7D%3D)
The correct representation of the above expression is as follows:
![\boxed{\sqrt{\dfrac{2\cdot g\cdot \triangle y}{m}}=}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Csqrt%7B%5Cdfrac%7B2%5Ccdot%20g%5Ccdot%20%5Ctriangle%20y%7D%7Bm%7D%7D%3D%7D)
For multiplication
symbol is used.
Part (e):
The expression given in part (e) is as follows:
![N_{0}e^{-\lambda t}](https://tex.z-dn.net/?f=N_%7B0%7De%5E%7B-%5Clambda%20t%7D)
The correct representation of the above expression is as follows:
![\boxed{N_{0}\cdot e^{-(\lambda\cdot t)}}](https://tex.z-dn.net/?f=%5Cboxed%7BN_%7B0%7D%5Ccdot%20e%5E%7B-%28%5Clambda%5Ccdot%20t%29%7D%7D)
For multiplication
symbol is used.
Learn more:
1. A problem on greatest integer function brainly.com/question/8243712
2. A problem to find radius and center of circle brainly.com/question/9510228
3. A problem to determine intercepts of a line brainly.com/question/1332667
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.