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Answers by MathsGee
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Solve the following equation and round your answer off to three decimal places: \[ 2^x=3 \]
answered
Jan 22
in
Mathematics
|
11
views
solve
equation
round
your
answer
decimal
places
0
like
0
dislike
Simplify the following using the laws of logarithms:
answered
Jan 22
in
Mathematics
|
12
views
logarithms
grade12
expression
exponents
calculate
function
calculus
0
like
0
dislike
Prove that \(\log _a x=\frac{\log _b x}{\log _b a}\)
answered
Jan 22
in
Mathematics
|
11
views
logarithms
exponents
prove
law
calculate
calculus
function
0
like
0
dislike
Simplify \(\frac{\log 16}{\log 4}\)
answered
Jan 22
in
Mathematics
|
9
views
expression
logarithms
number
simplify
grade12
problem-solving
calculus
0
like
0
dislike
SImplify \(\frac{\left(\log _2 8\right)^2}{\log _2 8^2}\)
answered
Jan 22
in
Mathematics
|
9
views
logarithms
expression
grade12
simplify
number
problem-solving
algebra
0
like
0
dislike
simplify \(\log _3 \sqrt{27}\)
answered
Jan 22
in
Mathematics
|
11
views
expression
simplify
grade12
logarithms
problem-solving
exponents
calculate
0
like
0
dislike
Simplify \(\log _3 \frac{1}{27}\)
answered
Jan 22
in
Mathematics
|
11
views
grade12
expression
simplify
logarithms
problem-solving
exponents
calculate
0
like
0
dislike
simplify \(-\log 4-\log 25\)
answered
Jan 22
in
Mathematics
|
11
views
logarithms
expression
grade12
simplify
problem-solving
exponents
number
0
like
0
dislike
simplify \(\log 20+\log 30-\log 6+\log _4 1\)
answered
Jan 22
in
Mathematics
|
12
views
calculate
expression
logarithms
grade12
exponents
function
calculus
0
like
0
dislike
Simplify using laws of logs \(\log _3 27-\log _3 3\)
answered
Jan 22
in
Mathematics
|
10
views
logarithms
grade12
expression
exponents
simplify
problem-solving
calculate
1
like
0
dislike
Simplify \(\log _9 27+\log _9 3\)
answered
Jan 22
in
Mathematics
|
10
views
expression
simplify
grade12
logarithms
problem-solving
exponents
0
like
0
dislike
Prove that \(\log _a a=1\)
answered
Jan 22
in
Mathematics
|
14
views
logarithms
exponents
prove
law
calculate
function
calculus
0
like
0
dislike
Using the laws of logarithms, expand \(\log _4\left(\frac{5}{x}\right)\)
answered
Jan 22
in
Mathematics
|
10
views
function
calculus
logarithms
calculate
exponents
grade12
expression
0
like
0
dislike
Expand \(\log_{3}5x\)
answered
Jan 22
in
Mathematics
|
7
views
logarithms
exponents
function
expand
0
like
0
dislike
Prove that \(\log _a x^m=m \log _a x \)
answered
Jan 22
in
Mathematics
|
14
views
prove
logarithms
exponents
law
calculate
function
calculus
0
like
0
dislike
Prove that \(\log _a\left(\frac{x}{y}\right)=\log _a x-\log _a y \)
answered
Jan 22
in
Mathematics
|
11
views
logarithms
exponents
prove
law
function
calculus
calculate
0
like
0
dislike
Prove that \(\log _a(x \times y)=\log _a x + \log _a y \)
answered
Jan 22
in
Mathematics
|
11
views
logarithms
exponents
law
prove
1
like
0
dislike
Determine the domain of the function \(f(x)=\log _2(1-2 x)\).
answered
Jan 22
in
Mathematics
|
11
views
determine
domain
function
graph
intercepts
0
like
0
dislike
The function \(f: x \rightarrow \log _a x\) passes through the point \((4 ;-2)\).
answered
Jan 22
in
Mathematics
|
17
views
equation
line
parallel
point
calculate
angle
collinear
0
like
0
dislike
What is the inverse function of \(g(x)=\left(\frac{1}{2}\right)^x\)
answered
Jan 22
in
Mathematics
|
11
views
differential
function
equation
initial-conditions
point
bounded
continuity
0
like
0
dislike
What is the inverse function of \(f(x)=\frac{1}{2} x+3\)?
answered
Jan 22
in
Mathematics
|
11
views
function
real
differentiable
open-set
subset
local
maximum
0
like
0
dislike
What is the inverse function of \(f(x)=2 x-4\)?
answered
Jan 22
in
Mathematics
|
9
views
function
inverse
graph
domain
integral
sine
jee
0
like
0
dislike
Define an inverse function
answered
Jan 22
in
Mathematics
|
11
views
function
inverse
differential
equation
initial-conditions
error
graph
0
like
0
dislike
What is the horizontal line test for functions?
answered
Jan 22
in
Mathematics
|
8
views
vertical
functions
test
line
function
graph
horizontal
0
like
0
dislike
What is the vertical line test for functions?
answered
Jan 22
in
Mathematics
|
9
views
vertical
line
test
functions
0
like
0
dislike
If the time period of a simple pendulum is \(T=2 \pi \sqrt{l / g}\), then the fractional error in acceleration due to gravity is
answered
Jan 22
in
General Knowledge
|
91
views
time
period
simple
pendulum
fractional
error
0
like
0
dislike
Solve $4^{ 1 / 2}$ exponent in the fractional form
answered
Jan 22
in
Mathematics
|
209
views
solve
exponent
equation
fractional
form
0
like
0
dislike
What is fractional calculus?
answered
Jan 22
in
Mathematics
|
9
views
fractional
calculus
leibniz
0
like
0
dislike
How do you find the domain and range of a function in interval notation?
answered
Jan 22
in
Mathematics
|
273
views
range
domain
function
graph
functions
interval
notation
0
like
0
dislike
Are one-to-many relations considered as functions?
answered
Jan 22
in
Mathematics
|
10
views
one-to-many
relations
considered
domain
range
functions
0
like
0
dislike
What is a many-to-one function?
answered
Jan 22
in
Mathematics
|
9
views
domain
range
many-to-one
function
0
like
0
dislike
What is a one-to-one function?
answered
Jan 22
in
Mathematics
|
8
views
function
calculus
domain
range
0
like
0
dislike
When doing image classification in Tensorflow, why do you scale the values to a range of 0 to 1 before feeding them to the neural network model?
answered
Jan 21
in
Data Science & Statistics
|
286
views
image
classification
tensorflow
scale
values
0
like
0
dislike
The first term of a geometric series is 124 . The sum to infinity is 64 . Find the common ratio.
answered
Jan 21
in
Mathematics
|
18
views
grade12
series
prove
geometric
convergent
paper1
calculations
0
like
0
dislike
How is MathsGee using AI for answer validation?
answered
Jan 21
in
General Knowledge
|
11
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mathsgee
answer
validation
question
intelligence
artificial
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like
0
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How is MathsGee using AI for question classification?
answered
Jan 21
in
General Knowledge
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9
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mathsgee
question
intelligence
artificial
understanding
answer
maths
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Does MathsGee use AI for answer generation?
answered
Jan 21
in
General Knowledge
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8
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mathsgee
answer
generation
artificial
intelligence
maths
question
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How is MathsGee using AI for question understanding?
answered
Jan 21
in
General Knowledge
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11
views
mathsgee
artificial
intelligence
question
understanding
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A convergent geometric series has a second term of 8 and a sum to infinity of 36 . Determine the possible constant ratio(s).
answered
Jan 21
in
Mathematics
|
18
views
grade12
series
prove
geometric
convergent
paper1
calculations
0
like
0
dislike
Consider the infinite geometric series \(p+p(p+1)+p(p+1)^2+\ldots\)
answered
Jan 21
in
Mathematics
|
14
views
series
prove
grade12
geometric
convergent
paper1
calculations
0
like
0
dislike
Convert the recurring decimal \(2, \dot{5} \dot{3}\) into a common fraction.
answered
Jan 21
in
Mathematics
|
17
views
convert
numbers
rational
decimals
recurring
fraction
decimal
0
like
0
dislike
Calculate: \(\quad \sum_{n=1}^{\infty} 2.10^{1-n} \quad\) (if it exists)
answered
Jan 21
in
Mathematics
|
11
views
series
prove
infinite
sum
integration
theorem
sequence
0
like
0
dislike
Calculate the sum to infinity of the geometric series \(\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\ldots .\).
answered
Jan 21
in
Mathematics
|
7
views
sequence
calculate
prove
sum
terms
general
value
0
like
0
dislike
Prove that in a convergent geometric series in which \(-1<r<1\), the sum to infinity is given by the formula: \(S_{\infty}=\frac{a}{1-r}\)
answered
Jan 21
in
Mathematics
|
9
views
prove
sequence
sum
calculate
terms
general
value
0
like
0
dislike
The constant ratio of a geometric series is \(-2 \frac{1}{2}\). The sum of the first four terms is \(17 \frac{2}{5}\). Calculate the first term.
answered
Jan 21
in
Mathematics
|
9
views
series
grade12
prove
geometric
convergent
paper1
calculations
0
like
0
dislike
Determine the first three terms of the geometric sequence of which the 7th term is 1458 and the 4th term is 54.
answered
Jan 21
in
Mathematics
|
21
views
sequence
grade12
questions
calculate
arithmetic
equations
unknown
0
like
0
dislike
The sum of the first 12 terms of an arithmetic series is 96 . The 3rd and 6th terms add up to 12 . Determine the first term and the common difference.
answered
Jan 21
in
Mathematics
|
10
views
sequence
series
grade12
formula
questions
arithmetic
calculate
0
like
0
dislike
Determine the first 3 terms of an arithmetic sequence if the 5 th term of the sequence is 12 and the 14 th term is \(-33\). Hence determine the 40th term.
answered
Jan 21
in
Mathematics
|
13
views
sequence
grade12
calculate
arithmetic
questions
equations
unknown
0
like
0
dislike
Determine \(m: \quad \sum_{k=2}^m \frac{1}{15}(3)^{k-1}=24 \frac{1}{5}\)
answered
Jan 21
in
Mathematics
|
9
views
series
function
value
convergent
sequence
infinite
divergent
0
like
0
dislike
How many terms of the geometric sequence \(-1 ; 2 ;-4 ; 8 ; \ldots\). will add up to \(349525 ?\)
answered
Jan 21
in
Mathematics
|
7
views
arithmetic
terms
series
sum
function
infinite
converge
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