Normal line to the curve y=ln(2x+a) at x=1 is perpendicular to x-4y+2 = 4ln3. Find the value of a.
Answers
The normal perpendicular to x-4y+2=4ln(3) or y=(x+2-4ln(3))/4
has as slope -4
So y'=(ln(2x+a))'=1/(2x+a) *2 if x=1 , y'=1/(2+a)
Thus
1/(2+a)=-4 ==>2+a=-1/4==>a=-1/4-2==>a=-9/4
Related Questions
Geometric sequence help
The coefficients in the expansion of (x+y)^6 are _______A) 0,6,15,20,15,6,0 B) 1,6,15,20,15,6,1, C) 1,6,15,15,6,1 D) 0,1,6,15,15,6,1,0
X+y=0 and x-y=10 solve by substitution.. How do I figure out the problem!
Which of the following describes the domain of the function?
Answers
Lisa: How many books did you read from the recommended list?
Who wrote a statistical question and why?
A.Lisa, because there can be only one answer to the question
B.Bill, because there can be many answers to the question
C.Lisa, because there will be variability in the responses collected
D.Bill, because every student will give the same answer
Answers
Using it's concept, it is found that an statistical question is given by:
C. Lisa, because there will be variability in the responses collected.
What is a statistical question?
It is a question that can be answered collecting data that vary, for example, the number of Buffalo Bills fans in a sample of 1000 people.
Otherwise, the number of Buffalo Bills Super Bowl wins is a fixed amount, hence it is not a statistical question.
In this problem, Bill's question has a fixed answer, while the answer for Lisa's question depends on the person, hence it is a statistical question, and option C is correct.
More can be learned about statistical questions at brainly.com/question/22029022
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Answers
Answer:
HI,
Step-by-step explanation:
3log_2y+log_25-log_2 10
should be written like :
Final answer:
To expand or condense the given expression, we can use the properties of logarithms.
Explanation:
To expand or condense the given expression, we can use the properties of logarithms. Based on the properties of logarithms:
Applying these properties, the expanded form of the expression is:
3log2(y) + log2(5) - log2(10) = log2(y3) + log2(5) - log2(10)
This expression cannot be further simplified unless the values of y, 5, and 10 are known.
Learn more about Logarithms here:
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Final answer:
Without a ratio, we cannot answer these questions. However, if we had a ratio such as 2 cups flour to 3 eggs, we could use cross-multiplication to find the amount of flour needed for 6 eggs (12 cups) and the amount of eggs needed for 15 cups of flour (45 eggs).
Explanation:
To answer these questions, we need a ratio between flour and eggs. However, without this ratio, it's impossible to answer questions a and b correctly. Usually in cooking, the amounts of ingredients used can vary depending on the recipe.
- Multiply the amount of flour (2 cups) by number of eggs (6 eggs) to find the total amount of flour needed. 2x6=12, so you would need 12 cups of flour.
- Multiply the amount of eggs (3 eggs) by amount of flour (15 cups) to find the total number of eggs needed. 3x15=45, so you would need 45 eggs.
Learn more about Ratios here:
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Answers
Answers
we find it 4.
Thus, there will be 4 zeroes in the denominator.
We get 49/10000