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RUDIKE [14]
3 years ago
11

Suppose that the directional derivatives of f sx, yd are known at a given point in two nonparallel directions given by unit vect

ors u and v. Is it possible to find =f at this point? If so, how would you do it?

Mathematics
1 answer:
Kitty [74]3 years ago
3 0

Answer:

Step-by-step explanation:

Application of vector notation comes into play here, by using the directional derivatives of f(x,y) at a given point in two non - parallel directions which are given by their respective units u and v, also for both Duf and Dvf are given.

The detailed analysis is carefully shown step by step in the attachment.

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If $315 is invested at an interest rate of 3% per year and is compounded continuously, how much will the investment be worth in
irina [24]

Answer:

\$412.64

Step-by-step explanation:

we know that

The formula to calculate continuously compounded interest is equal to

A=P(e)^{rt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest in decimal  

t is Number of Time Periods  

e is the mathematical constant number

we have  

t=9\ years\\ P=\$315\\ r=0.03  

substitute in the formula above  

A=\$315(e)^{0.03*9}=\$412.64

3 0
3 years ago
Use the relative frequency approach to estimate the probability of the event. In a certain class of students, there are 8 boys f
In-s [12.5K]

Answer:

P\text{Student will be from Kenilworth}\approx 0.256

Step-by-step explanation:

We have been given that that there are 8 boys from Wilmette, 5 girls from Kenilworth, 9 girls from Wilmette, 5 boys from Glencoe, 5 boys from Kenilworth and 7 girls from Glenoce.

The total number of students from Kenilworth is 5 boys plus 5 girls that is 10 students.

The total number of students in the class would be 8+5+9+5+5+7=39

\text{Probability}=\frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}

P\text{Student will be from Kenilworth}=\frac{\text{Number of student from Kenilworth}}{\text{Total number of students}}

P\text{Student will be from Kenilworth}=\frac{10}{39}

P\text{Student will be from Kenilworth}=0.2564102564

P\text{Student will be from Kenilworth}\approx 0.256

Therefore, the probability, that the student will be from Kenilworth, is approximately 0.256.

7 0
3 years ago
What is two thirds equal to
Luden [163]

Answer:

2/3 = 0.6666666666666667 or just 67%.

Step-by-step explanation:

5 0
3 years ago
How do you solve this
Trava [24]
1. reduce the fraction and subtract the exponents

(5x^7y^2)/2

3 0
3 years ago
Please can someone help me???
quester [9]

Answers:

Step 1 is distributive property

Step 2 is distributive property (again)

Step 3 is commutative property

===============================================

Explanation:

The distributive property is the idea of multiplying the outer value by each inside value in the parenthesis. In general, the rule is a*(b+c) = a*b+a*c. We have the outer term 'a' multiplied by each inner term b and c. Then we add the products. The distributive property is used twice to multiply the two binomials. Your teacher and/or book may refer to it as the FOIL rule. FOIL stands for "first, outer, inner, last" which is a handy way to remember the order in how to multiply binomials.

The commutative property is the idea of adding or multiplying two values in any order we want. In this case, we're focusing on adding. This allows us to swap the terms to go from -5y^2+9x^2 to 9x^2+(-5y^2) = 9x^2-5y^2

4 0
3 years ago
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