The equation of the tangent line to the curve are [tex]y=x-1 , y=\frac{xe-e^{2}+8 }{e}[/tex].
It is required to find the solution.
What is a tangent ?A tangent is a line that touches the edge of a curve or circle at one point, but does not cross it. The tangent line to a curve at a point is that straight line that best approximates (or “clings to”) the curve near that point.
Given:
[tex]y=8\frac{lnx}{x} \\\\y'=8(\frac{1/x*x-lnx*1}{x^{2} } \\\\y'=\frac{1-lnx}{x^{2} }[/tex]
Now, we find the slope of the tangent by inserting the point (1,0) into the derivative.
[tex]m_{tangent}=\frac{1-ln1}{1^{2} }\\\\m_{tangent}=1-0/1\\\\m_{tangent} =1[/tex]
We can now find the equation, because we know the slope and a point (1, 0).
[tex]y-y_{1} =m(x-x_{1} )\\[/tex]
y-0=1(x-1)
y=x-1
We can now find the equation, because we know the slope and a point (e, 8/e).
[tex]y-y_{1} =m(x-x_{1} )\\\\y-8/e=1(x-e)\\\\y=\frac{xe-e^{2}+8 }{e}[/tex]
Therefore, the equation of the tangent line to the curve are [tex]y=x-1 , y=\frac{xe-e^{2}+8 }{e}[/tex].
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Given n bits, how many unsigned integers can be represented with the n bits? what is the range of these integers?
2ⁿ integers can be represented and the range would be 0 to (2ⁿ) -1.
What are integers?An integer is a whole number (rather than a fraction) that can be positive, negative, or zero. Integer examples include -5, 1, 5, 8, 97, and 3,043. Numbers that are not integers include: -1.43, 1 3/4, 3.14,.09, and 5,643.1. There are three kinds of integers: Zero (0) Integers that are positive (Natural numbers) Integers that are negative (Additive inverse of Natural Numbers).So, if n bits are given then 2ⁿ integers can be represented.
And the range is the difference between the largest number by the smallest number. So, the range of 2ⁿ integers will be from 0 to (2ⁿ) -1.
Therefore, 2ⁿ integers can be represented and the range would be 0 to (2ⁿ) -1.
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7x + 3x + x⁴ divided by x-2 using long division
Answer:
10x + x^4/x-2
Step-by-step explanation:
Combine like terms
(10x + x^4)/(x-2)
Help please :)
create your own unit rate example in which you have to determine the unit rate of two fractions with different units. explain what the two fractions are, write the scenario, and calculate the unit rate. do not forget your units and remember to show your work!
no trolling!
Mansi can cover 1 mile of the distance in just 12 minutes.
How to calculate the unit rate?The unit rate can be expressed in any unit for instance minute per mile, miles/hour, etc
There is independent quantity, and a quantity which depends on it (dependent quantity). When independent quantity moves by a unit measurement (single unit increment), the increment in dependent quantity is called rate of increment of dependent quantity per unit increment in independent quantity.
Lets consider Mansi covers 3 miles in 36 minutes, her unit rate in minutes per mile is expressed as:
Unit rate = 36min/3miles
Unit rate = 12 minutes/mile
Here,
This shows that Mansi can cover 1 mile of the distance in just 12 minutes.
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Use substitution to solve the system.
y = 2x+14
3x+2y = -7
Answer: x=-5, y=4 (-5,4)
Step-by-step explanation:
the greatest integer function,shown below,is defend so that it produces the greatest integer_____or equal to x???
The greatest integer function, shown below, is defended so that it produces the greatest integer less than or equal to x
This is further explained below.
What is a integer?A natural number that is either positive or negative, expressed as an integer, or the number zero itself are all examples of integers.
The additive inverses of the positive numbers that they relate to are represented by the negative numbers.
In conclusion, The biggest integer function, which is shown down below, is validated in such a way that it generates the greatest integer that is less than or equal to x.
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CQ
The greatest integer function shown below, is defined so that it produces the gretest integer__ or equal to x. f(x)=[ [x] ]
Café 103 is collinear with and halfway between the Metrics School and the
Angles Lab. The Metrics School is located at point (2, 6) on a coordinate
plane, and Angles Lab is at point (7, 2). Find the location of Café 103.
The location of Café 103 is (4.5, 4)
How to determine the location of Café 103?The given parameters are
Metrics School = (2, 6) on a coordinateAngles Lab = (7, 2) on a coordinateFrom the question, we understand that:
Café 103 is collinear with and halfway between the Metrics School and the Angles Lab.
This means that Café 103 is at the midpoint
So, we have:
Café 103 = 0.5 * (x1 + x2, y1 + y2)
This gives
Café 103 = 0.5 * (2+ 7, 6 + 2)
Evaluate
Café 103 = (4.5, 4)
Hence, the location of Café 103 is (4.5, 4)
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the function f(x) is shown. the function g(x)= 2x - 6 compare slopes
Answer: The slope of f(x) is less than the slope of g(x) because the slope of f(x) is -3
Step-by-step explanation:
Define slope?
The slope of a line is the ratio of the amount that y increases as x increases some amount. Slope tells you how steep a line is, or how much y increases as x increases. The slope is constant (the same) anywhere on the line.
We can write:
m=(y2-y1) / (x2-x1)
If,
g(x) = 2x - 6
The slope of g(x), m = 2
Let, x1=0
y1=2
x2=-1
Y2=1
So, we take (x1, y1) and (x2, y2) Then consider (0, 2) and (-1, 1)
Solve it:
Replace with x1, y1 and x2, y2
m = [1-(-2)/(-1)]
m=[(1+2) /(-1) ]
m=3/(-1)
m=-3
Thus, the slope of f(x) is less than the slope of g(x) because the slope of f(x) is -3.
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Given mn, find the value of x.
f(x)=2x^-6 Find f(7)
Answer: 1/58824.5
Step-by-step explanation: 2x7^-6
2x1/117649
=1/58824.5
q+p-3; use p = 2, and q = -1
Answer:
-2
Step-by-step explanation:
q + p - 3
-1 + 2 - 3 = -2
What is 1+1 answer please despite
Answer:
2...?
Step-by-step explanation:
Mia is building a fence using nails 2.5 in
long. She drives a nail through a board
that is 75 in. thick into a 4 in. square
fencepost. How much of the nail goes
into the post?
Answer:
jjajdawasdaw
Step-by-step explanation:
wsadwdasdawasdawdas
f(x) = 12x + 10 is a function which can used to to calculate a person's daily paycheck.
Which would be a reasonable domain for this function?
A : all real numbers
B : 0
C : 0
D : 0
A : all real numbers
Answer:
A. All real numbers.
Step-by-step explanation:
I need the answer to all of them Rolly quick Bc my phone is dying
Answer:
1: $5
2: 7
3: 18
4: 17
5: 2
6: 1,029
Step-by-step explanation:
9 times the sum of 9b and 2
Answer:
9(9b+2)
Step-by-step explanation:
The words 'the sum of mean parenthesis.
And so 9 would be outside the parenthesis, then 9b and 2 would be inside.
Solve the simultaneous equation
-4x+3y=1
6x-y=2
We can form the eq. for y,
→ 6x - y = 2
→ y = 6x - 2
Then the value of x will be,
→ -4x + 3y = 1
→ -4x + 3(6x - 2) = 1
→ -4x + 18x - 6 = 1
→ 14x = 1 + 6
→ x = 7/14
→ [ x = 1/2 ]
Hence, the value of x is 1/2 (or) 0.5.
Now the value of y will be,
→ y = 6x - 2
→ y = 6(1/2) - 2
→ y = 3 - 2
→ [ y = 1 ]
Hence, the value of y is 1.
A+number+is+stored+in+cell+c24.+in+cell+d24,+you+wish+to+calculate+5%+of+the+number+stored+in+cell+c24.+to+accomplish+this,+what+formula+should+be+entered+in+cell+d24?
Answer:
just put out + from the question.
Find the area of the region that lies inside both curves. r = 9 sin(), r = 9 cos()
The area of the region inside both curves r = 9 sin(θ) and r = 9 cos(θ) is 11.56 square units.
What is integration?It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.
The curves are:
r = 9 sin(θ) and
r = 9 cos(θ)
On graphing the above curves:
From the graph:
A = (1/2)∫(9sin(θ))2dθ + (1/2)∫(9cos(θ)2dθ
The region is symmetrical about π/4,:
A = 81∫sin2(θ)dθ from 0 to π/4
After solving:
= 11.56 square unit
Thus, the area of the region inside both curves r = 9 sin(θ) and r = 9 cos(θ) is 11.56 square units.
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1/5v+gt =a Solve for V
Answer:
v = 5(a - gt) or
v = 5a - 5gt These both mean the same thing
Step-by-step explanation:
1/5 v + gt = a Subtract gt from both sides of the equation.
1/5 v = a - gt Multiply both sides by 5
v = 5(a - gt)
What is the reciprocal of 5/29
Answer:
[tex]\frac{29}{5}[/tex] or [tex]5\frac{4}{5}[/tex]
Step-by-step explanation:
Keep in mind that a reciprocal is a fraction flipped. For example, if we have 3/10, the reciprocal would be 10/3.
Since [tex]\frac{29}{5}[/tex] is an improper fraction, we have to simplify it to a mixed number.
8xy(x^3 y) fully simplify
Answer:
8x^4y^2
Step-by-step explanation:
Just plug it in to the calculator and that will be your result.
v/9 - 7 = -8
I'll give brainliest!! please explain
By isolating the variable, we will see that the solution of the linear equation is v = -9
How to solve the linear equation?Here we have the following linear equation:
v/9 - 7 = -8
Where we can see that the variable is v. To solve this, we need to perform operations in both sides of the linear equation in a way such that the variable is isolated in one of the sides.
Adding 7 in both sides we get:
v/9 - 7 + 7 = -8 + 7
v/9 = -1
Now we multiply both sides by 9:
(v/9)*9 = -1*9 = -9
v = -9
We conclude that the solution of the linear equation is v = -9.
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Mr jones pays $423.22 for his car payment and $98.30 for his car insurance every month how much is mr jones paying per month for his automotive bills
The total payment done by Mr. Jones every month as he pays $423.22 for car payment and $98.30 for car insurance every month is equal to $ 521.52.
As given,
Payment done for car every month = $423.22
Payment done for car insurance = $98.30
Total payment done by Mr. Jones every month = $ (423.22 + 98.30)
= $521.52
Therefore, the total payment done by Mr. Jones every month as he pays $423.22 for car payments and $98.30 for car insurance every month is equal to $ 521.52.
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what are the answers to theseeeeee ahhhhhhh, this is timed, i need answers !
Answer:
Step-by-step explanation:
False, the left side is not equal to the right side
Answer:
-15+13i
Step-by-step explanation:
Distribute the negative to get (-10+6i)
Combine both parenthesis and the answer is -5-10=-15 and 7i+6i=13i
Final answer is -15+13i
What is the letter name of the point of (1, 4)?
Answer: u
Step-by-step explanation: go over 1 up 4
2×3÷2+1+2×33 what's the answer
Answer: 70
Step-by-step explanation:
2×3÷2+1+2×33
PEMDAS, do all the multiplication first.
2×3 = 6, 2×33=66
Do division next.
6÷2=3
3+1+66=70
One of the radioactive isotopes used in chemical and medical research is iodine-125, which has a half-life of 61 days. how long would it take for 0.25 g to remain of a 1.00 g sample of iodine-125?
Answer:122 days
Step-by-step explanation:
After executing the following statement, the value of x is ________. double x = 5 4 * 3 / 2 ;
The value of x is 81 . double x = 5 4 * 3 / 2 .
What is a linear equation?
An algebraic equation of the form y=mx+b is referred to as a linear equation. m is the slope, and b is the y-intercept, and all that is involved is a constant and a first-order (linear) term. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."x = 54 * 3/2
x = 27 * 3
x = 81
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What am I doing wrong here? Please help!
Answer:
If there are dotted lines available then use dotted lines for the range where its only greater than or less than, when there is no equals to sign then you use dotted lines
Step-by-step explanation:
Which statistics best describe the center and spread of the data in the histogram? which statistics best describe the center and spread of the data in the histogram? median and standard deviation mean and standard deviation median and iqr mean and iqr
A histogram is a graph that shows the frequency of numerical data using rectangles.
A set of quantitative data with varying values may be shown as a list or a data display.
Center and spread are ways to describe data sets like this.
Center describes a typical value of a data point. Two measures of center are mean and median.
Spread describes the variation of the data. Two measures of spread are range and standard deviation.
The mean is useful for describing the center of data with similar values.
The mean is the average value.
mean = sum of values / number of values
A histogram is a graph that shows the frequency of numerical data using rectangles.
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