PLEASE HELP Find the slope and equation of the tangent to each of the following curves at the given point:
Answers
Answer:
Step-by-step explanation:
To find the slope of the tangent at a point we will find the derivative of equation at that point.
a). y = x² - 10x
[tex]\frac{dy}{dx}=\frac{d}{dx}(x^{2} -10x)[/tex]
y' = 2x - 10
At (x = 2),
y' = 2(2) - 10
y' = 4 - 10
y' = -6
From the given equation,
y = 2² - 10
y = -6
Therefore, y-coordinate of the point is y = -6
Equation of the tangent at (2, -6) having slope = -6
y - 2 = -6(x - 2)
y - 2 = -6x + 12
y = -6x + 14
b). y = [tex]x^{2}+\frac{2}{x}[/tex]
At x = [tex]\frac{1}{2}[/tex]
y = [tex](\frac{1}{2})^2+\frac{2}{\frac{1}{2}}[/tex]
y = [tex]\frac{1}{4}+4[/tex]
y = [tex]\frac{17}{4}[/tex]
Now we have to find the equation of a tangent at [tex](\frac{1}{2},\frac{17}{4})[/tex]
y' = 2x - [tex]\frac{2}{x^{2} }[/tex]
At x = [tex]\frac{1}{2}[/tex]
y' = [tex]2(\frac{1}{2})-\frac{2}{(\frac{1}{2})^2}[/tex]
y' = 1 - 8
y' = -7
Therefore, equation of the tangent at [tex](\frac{1}{2},\frac{17}{4})[/tex] will be,
[tex]y-\frac{17}{4}=-7(x-\frac{1}{2})[/tex]
y = -7x + [tex]\frac{7}{2}+\frac{17}{4}[/tex]
y = -7x + [tex]\frac{31}{4}[/tex]
Related Questions
Here are the scores of students on a history test. 57,58,61,61,65,71,73,75,77,78,80,82,92 Notice that the scores are ordered from least to greatest. Give the five-number summary and the interquartile range for the data set.
Answers
You have $16 and earn $0.50 for each cup of orange juice you sell. Write an equation that represents the
total amount A (in dollars) you have after selling cups of orange juice.
a) A = 16 + 0.5j
b) A = 16(0.5)
c) A = 16 -0.5j
0.5j
d) A=1
6-0.5j
Answers
the value of square root of 4/49
Answers
Answer:The square root of 4 is 2 . The square root of 49 is 7 .Apr 19, 2015
Step-by-step explanation:
Which equation is the standard form equation of the line that passes through the point (-2, 0) and has a slope of 4?
A 4x - y = -2
B 4x - y = 8
C 4x - y = -8
D 4x + y = -8
Answers
4x-y=-8
-y=-4x-8
y=4x+8
y=4x+8
0=4x+8
-8=4x
-2=x
PLS HELP ME ASAP my brother needs help what is 25 + 1/3 =
Answers
Answer:
76/3
(Decimal: 25.333333)
Step-by-step explanation:
Answer: 25.3
Step-by-step explanation:
You take 1/3=0.3
Then you add 0.3+25=25.3
Select the correct answer.
Which scatter plot shows a positive linear association?
Answers
Answer:
what ever plot goes upwards is the positive one
Step-by-step explanation:
Answer:
D is the awnser :)
Step-by-step explanation:
Every mark is increasing...
justin has x nickels and y dimes. He has a minimum of 15 coins worth at most 1$ combined determine one possible soltuiion with a set of inequalities
Answers
Answer:
Justin has 10 nickels and 5 dimes.
Step-by-step explanation:
Given that Justin has x nickels and y dimes, and he has a minimum of 15 coins worth at most $ 1 combined, to determine one possible solution the following calculation must be performed:
Nickel = 0.05
Dime = 0.10
15 x 0.05 + 0 x 0.1 = 0.75
14 x 0.05 + 1 x 0.1 = 0.80
13 x 0.05 + 2 x 0.1 = 0.85
12 x 0.05 + 3 x 0.1 = 0.90
11 x 0.05 + 4 x 0.1 = 0.95
10 x 0.05 + 5 x 0.1 = 1
So, Justin has 10 nickels and 5 dimes.
What is the area of the polygon given below?
11
6
A. 66 square units
B. 55 square units
C. 131 square units
O D. 186 square units
Answers
Answer:
The answer is A have a good day
Step-by-step explanation:
why do bank charge transaction fees?
Answers
Answer:
To make a profit and pay operating expenses, banks typically charge for the services they provide. When a bank lends you money, it charges interest on the loan. Even fee-free checking and savings accounts have some fees. ...
To make a profit and pay operating expenses, banks typically charge for the services they provide. When a bank lends you money, it charges interest on the loan. Even fee-free checking and savings accounts have some fees. ...
Convert 6 fluid ounces into cups.
Answers
Answer:
0.75 Of a cup
Step-by-step explanation:
Answer:
0.75 cups
Step-by-step explanation:
1 fluid ounce is 0.125 cups (1/8th of a cup)
Hence,
6 fluid ounces = 0.125 x 6 = 0.75 cups
A rectangular garage has an area of 42 square meters and a perimeter of 26 meters. What are the dimensions of the garage?
Answers
Answer:448
448
Step-by-step explanation:448
The population of a remote village is about 3 x 102 and the population of the nearest large city is
about 6 x 10%. Determine how many times larger the city population is in comparison to the
village population.
A. 18 x 107
B. 2000
C. 2 x 107
D. 2 x 10
E. 5x102
Answers
Answer:
DE
Step-by-step explanation:
You are making sandwiches for a large party. Each sandwich has two slices of bread, one slice of turkey, two slices of cheese, three slices of tomato and 5 slices of cucumber. How many sandwiches will you get from ... 10 slices of bread and 20 slices of cucumber
Answers
Question:
You are making sandwiches for a large party. Each sandwich has two slices of bread, one slice of turkey, two slices of cheese, three slices of tomato and 5 slices of cucumber. How many sandwiches will you get from 10 slices of bread and 20 slices of cucumber? assuming you have plenty of everything
Answer:
4 sandwiches
Step-by-step explanation:
Given
1 Sandwich contains:
[tex]Bread = 2\ slices[/tex]
[tex]Turkey = 1\ slice[/tex]
[tex]Cheese = 2\ slices[/tex]
[tex]Tomato = 3\ slices[/tex]
[tex]Cucumber = 5\ slices[/tex]
Required
Number of sandwiches from 10 slices of bread and 20 slices of cucumber?
Since we are to assume that every other thing is in abundance, we will only consider the unit amount of bread and cucumber
[tex]Bread = 2\ slices[/tex]
[tex]Cucumber = 5\ slices[/tex]
Express as ratio
[tex]Bread : Cucumber = 2 : 5[/tex]
When the ratio is multiplied by 5, the slice of cucumber (25) will exceed the available slices (20).
So, we multiply by 4
[tex]Bread : Cucumber = 2*4 : 5*4[/tex]
[tex]Bread : Cucumber = 8 : 20[/tex]
This implies that:
8 slices of bread and 20 slices of cucumber are used
Hence:
4 sandwiches can be made
3(x2)+ 5y
when X=4&y=3
Answers
Answer: if it’s 3(x^2)+5y then it will be 3(4^2)+5(3)= 63
Step-by-step explanation:
10.6 - 3x when x is equal to 4.5.
Answers
Answer:
The answer is 2.6
Hope this Helps!!!
10.6-13.5
=-2.9
What's the question? The answer is 32/3
Answers
Answer:
10.67 or 10.7
Step-by-step explanation:
32/3= 10.67 or 10.7
Answer:
10.6666666667 converted into a fraction (sorry if im wrong)
Step-by-step explanation:
Give the range of the following data set: 4, 5, 8, 18, 21, 43, 82 *
88
86
78
Option76 4
Answers
Answer:
78
Step-by-step explanation:
The range is the difference between the highest and lowest number:
4, 5, 8, 18, 21, 43, 82
The highest number is 82 and the lowest is 4
82 - 4 = 78
The range is 78
Which of the following is a unit fraction?
A. 4/9
B. 15/16
C. 3/8
D. 1/8
Answers
Answer:
D. 1/8
Step-by-step explanation:
A unit fraction is a fraction with numerator of 1.
Answer:
D 1/8 Because unit factions always have a one as the numarator
Help pls also show work if needed!
Answers
Answer:
(4,18); (6,22); (8,26)
Step-by-step explanation:
Plug in the numbers 4, 6, and 8, in for d using the equation.
c=2d+10
c=2(4)+10
c=8+10
c=18
(4,18)
c=2d+10
c=2(6)+10
c=12+10
c=22
(6,22)
c=2d+10
c=2(8)+10
c=16+10
c=26
(8,26)
Answer:
14
18
22
26
Step-by-step explanation:
c = 2d + 10
1st one: substitute 2 for d
c = 2 x 2 + 10
c = 14
2nd one: substitute 4 for d
c = 2 x 4 + 10
c = 18
3rd one: substitute 6 for d
c = 2 x 6 + 10
c = 22
4th one: substitute 8 for d
c = 2 x 8 + 10
c = 26
describe how you know that (8+9) + 3 is equivalent to 8+ ( 9 + 3). what is the benefit to using this property?
Answers
Line m passes through the points (2, -7) and
(4, -9). Line mis parallel to which line?
A) Y=-1
B) y = x - 9
C) X = 5
D) y = -x + 2
Answers
Answer:
D
Step-by-step explanation:
PLEASE ANSWER!
Draw a right triangle with side lengths of 3, 4, and 5 units.
Answers
Sides of the triangle = 3, 4, 5
Here, one thing to remember is, you have to put 5 as the "Hypotenuse" (Longest side) & smaller one's as Base & Perpendicular.
Hope this helps!
Using the binomial theorem expression to expand (4a+7b)^8, what would you substitute for the values of a and b?
A. a=11 and b=8
B. a=4a and b=7b
C.a=4 and b=7
D. a=8 and b=7
Answers
Answer:
B. [tex]a = 4\cdot a[/tex] and [tex]b = 7\cdot b[/tex].
Step-by-step explanation:
The Binomial Theorem states that a binomial of the form [tex](a+b)^{n}[/tex], [tex]a, b\in \mathbb{R}[/tex] can be expanded in the following form:
[tex](a+b)^{n} = \Sigma \limits_{i=0}^{n} \frac{n!}{k!\cdot (n-k)!} \cdot a^{n-i}\cdot b^{i}[/tex] (1)
If we have [tex](4\cdot a + 7\cdot b)^{8}[/tex], then [tex]a = 4\cdot a[/tex] and [tex]b = 7\cdot b[/tex]. In a nutshell, correct answer is B.
B
That is the correct answer, hope it helps my dudes!
1
3
This week Andres will practice with his band for 15 hours on Monday, 1 - hours on Tuesday, and 2
2
4
hours on Wednesday. Next week Andres will practice with his band for the same number of hours
on Monday, Tuesday, and Wednesday.
What is the total number of hours Andres will practice with his band over these 6 days?
Answers
Answer:
[tex]Total = 104\ hrs[/tex]
Step-by-step explanation:
Given
[tex]Monday = 15\ hrs[/tex]
[tex]Tuesday = 13\ hrs[/tex]
[tex]Wednesday = 24\ hrs[/tex]
Required
Determine the hours of practice over 6 days
First, we calculate the hours for the given 3 days.
[tex]Hours = Monday + Tuesday + Wednesday[/tex]
[tex]Hours = 15\ hrs + 13\ hrs + 24\ hrs[/tex]
[tex]Hours = 52\ hrs[/tex]
The hours of practice for the other three days is also 52 hours.
So, the total is:
[tex]Total = 52\ hrs + 52\ hrs[/tex]
[tex]Total = 104\ hrs[/tex]
Answer:
104
Step-by-step explanation:
U uhh mmm just help me
Answers
what does t eaqual -6t - 7 = 17
Answers
Answer : t= -4
Answer:
t = - 4
Step-by-step explanation:
-6t - 7 = 17
+7 +7
-6t = 24
/-6 /-6
t = - 4
Someone help with this I’m gonna fail !
Answers
Recall from Exercise 1-16 the experiment that investigated the effectiveness of a nicotine lozenge for subjects who wanted to quit smoking (Shiffman et al., 2002). Before the treatments began, subjects answered background questions, including how many cigarettes they smoked per day. Among the 1818 subjects in the study, the average was 22.0 cigarettes per day, and the standard deviation was 10.8 cigarettes per day. a. Identify the population and parameter of interest.
Answers
Solution :
The population of the interest is : All smokers
The parameters of the interest is : population mean number of the cigarettes per day.
Population of interest :
The population interest is defined as the group or the population form the sample from which the experimenter or the researcher draws results or the conclusion of the experiment.
In the context, the researcher wants to draw the results from all the smokers in the study, so the population of interest is the smokers.
Parameter of interest :
The parameters of interest is the set of all unknown numbers which describes the population from which the researcher wishes to test with the estimator.
In the context, the interest parameter is the mean or the average population number of the cigarettes per day.
1/3 or 1/6 which is not an equivalent fraction for the amount of pie
Answers
Answer:
1/6
Step-by-step explanation:
depends on how many people your giving it to to have an equal amount but i would say 1/6 because you can give 1/2 to 3 people.
THIS IS ONLY WHAT I THINK! WAIT FO RMORE RESPONSES IF NEEDED! THANK YOU.
what is the inequalities x<3
Answers
Step 1 Eliminate fractions by multiplying all terms by the least common denominator of all fractions.
Step 2 Simplify by combining like terms on each side of the inequality.
Step 3 Add or subtract quantities to obtain the unknown on one side and the numbers on the other.
hope this help you... :) and have a good day
Answer:equal to y
x is equal to y. Where as in an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥. x>y. x is greater than y.
Step-by-step explanation: