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madreJ [45]
2 years ago
13

Given that f(1)=2 and f'(1)=4, find the derivative of f(x)loge(x) when x=1

Mathematics
1 answer:
inessss [21]2 years ago
3 0

Answer:

2

Step-by-step explanation:

loge(x) is ln(x)

f(x) × ln(x)

Differentiate using product law

[ln(x) × f'(x)] + [(1/x) × f(x)]

x = 1

[ln(1) × f'(1)] + [(1/1) × f(1)]

(0 × 4) + (1 × 2)

0 + 2

2

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Determine the range for the table.
Sladkaya [172]

Answer:

And the range is all real numbers except 0. The definition of range is the set of all possible values that the function will give when we give in the domain as input.

Step-by-step explanation :D give brainly

6 0
3 years ago
(50 pts) Find the odds in favor of rolling two consecutive odd numbers when a pair of dice is rolled.
Verdich [7]

Answer:

<h3>1/4</h3>

Step-by-step explanation:

Rolling two consecutive odd numbers when a pair of dice is rolled.

There are 3/6 (1, 3, 5) odd numbers on a fair dice.

3/6 = 1/2

The dice is rolled twice.

1/2 × 1/2 = 1/4

3 0
3 years ago
Read 2 more answers
Ten students obtained the following marks on a quiz: 5,5,5,5,7,7,8,9,10,
Travka [436]
The first one is b. The second one is d. Sorry if I’m wrong :(
5 0
3 years ago
Can someone please explain
ankoles [38]
Start by defining variables (things you don't know). Let's make:
t = number of true/false questions
m = number of multiple choice questions

Equation #1
total questions on the test (given to be 20) is then:
t + m = 20

Equation #2
Multiply the number of questions by the points it's worth to get the total points
3t + 11m = 100

Now, you can use substitution to combine the two equations.

t + m = 20
by subtracting m from both sides, equation 1# becomes..
t = 20 - m

substitute t for 20 - m in the second equation.
3(20 - m) + 11m = 100

Solve for m.
3(20 - m) + 11m = 100
60 - 3m + 11m = 100
8m = 100 - 60
8m = 40
m = 5

There are 5 multiple choice questions on the test.
Now use this to find t.
t + m = 20 
t + 5 = 20
t = 20 - 5
t = 15

there are 15 true/false questions on the test.
7 0
3 years ago
A car company is testing a new type of tire. They want to determine the time to 60 mph from a full stop in light rain, light sno
Andrej [43]

Answer:

For this case the factor would be:

Road conditions

Because we are testing a new type of tire in order to determine if the time to 60 mph from a full stop in light raing, ligth snow and dry conditions.

Step-by-step explanation:

Previous concepts

By definition a factor usually known as "the independent variable is an explanatory variable manipulated by the experimenter".

Analysis of variance (ANOVA) "is used to analyze the differences among group means in a sample".

The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"

If we assume that we have p groups and on each group from j=1,\dots,p we have n_j individuals on each group we can define the following formulas of variation:  

SS_{total}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x)^2

SS_{between}=SS_{model}=\sum_{j=1}^p n_j (\bar x_{j}-\bar x)^2

SS_{within}=SS_{error}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x_j)^2

And we have this property

SST=SS_{between}+SS_{within}

Solution to the problem

For this case the factor would be:

Road conditions

Because we are testing a new type of tire in order to determine if the time to 60 mph from a full stop in light raing, ligth snow and dry conditions.

Th use 5 experimental units that are selected from the an specific lot. And they want to test is the stopping distance is significantly different.

And for this case we can use a one way ANOVA to test if the means are equal  in the 3 groups.

3 0
3 years ago
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