Answer: The two equations are - (7x -5) = 39 or 7x - 5 = 39
Step-by-step explanation:
<u>Answer- </u>
The directional derivative of f(x,y) at (0,6) in the direction θ = 2π/3 is, 7.73
<u>Solution-</u>
The unit vector in the direction of the given angle is
Given that,
Gradient of f(x,y)
Gradient of f(x,y) at (0,6)
= <(-2)(6)(1) , (2)(1)> = <-12 , 2>
The directional derivative of f(x,y) at (0,6) is
The value of x is ±0.7071 and x is an irrational number
<h3>How to solve for x?</h3>
The equation is given as:
Divide by 4
Take the square roots
Hence, the value of x is ±0.7071
<h3>How to prove that x is irrational?</h3>
The equation is given as:
Take the logarithm of both sides
Divide both sides by log(4)
x = 1.16096....
The above number is a non-terminating decimal.
Non-terminating decimals cannot be represented as fractions of two integers
Hence, x is an irrational number
Read more about irrational numbers at:
brainly.com/question/17450097
#SPJ1
we have
we know that
The area of a rectangle is equal to
where
L is the length side of the rectangle
W is the width side of the rectangle
In this problem
Equate the area to zero and Find the roots of the quadratic equation
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Factor the leading coefficient
Complete the square. Remember to balance the equation by adding the same constants to each side
Rewrite as perfect squares
Square root both sides
so
therefore
<u>the answer is the option</u>
;
I believe it’s 25ft
Sorry! I haven’t worked with Surface Area in a while.