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Find the area of the parallelogram with vertices K(3, 2, 1), L(3, 5, 3), M(5, 10, 3), and N(5, 7, 1).

I need to compute each limit. I have attached the problem as a photo.

Discuss asymptotic behavior and provide two real-life examples where the observed trend is "asymptot...

Find the centroid of a thin, flat plate covering the “triangular” region in the first quadrant bound...

Connect the two points (1, d(1)) and (3, d(3)) with a straight line.

Consider the function.
|r + 7|– |r – 7|
f(x) =
Estimate the following by evaluating fat x-values nea...

Evaluate the integral by interpreting it in terms of areas. In other words, draw a picture of the re...

In the function: 
f(x)= 6/((x^2)-16) 
What are the critical numbers of the function? 
When is the fu...

Solve by completing the square:
1/3 - 4/3x = 7/x

consider the equation f(x) =5x2
find the average rate of change between x=3 and x=3+x

Suppose that a sum S0 is invested at an annual rate of return r compounded continuously.
a.Find the ...

uxx+uyy=0; u1(x,y)=cos x cosh y, u2(x,y)=ln(x2+y2)

The autonomous differential equations in Exercises 9–12 represent models for population growth. For ...

Find the length of the curve y = ln (cos x), 0&lt;= x&lt;= pai/3

Solve the initial value problem
and determine where the solution attains its maximum value.

The region in the first quadrant that is bounded above by the curve y = 1/x^(1/4), on the left by th...

determine whether the following statements are true or false 
1. if z=f(y) and y= g(x) then dz/dx= d...

Consider the region bounded by the graphs of y = ln x, y = 0, and x = e.
a. Find the area of the reg...

Find the points of intersection of the following pair of curves.
29
X+5
y = ,x3 +3x2 +5, y= 9x2 -
2*...

If C is the curve given by r (t) = (1+2 sint)i+ (1+ 2 sin? t)j+ (1+1 sin' t) k,
0<t< and F is the ra...

The function ƒ(x) = e^x + x, being differentiable and one-to-one, has a differentiable inverse ƒ -1(...

Find the volume of the solid generated by revolving the region bounded by the parabola y2 = 4x and t...

In the function: 
f(x)= (3x^2)ln(x) , x&gt;0
What are the vertical asymptotes?

Find the centroid of the region bounded by the x-axis, the curve y = sec x, and the lines x = -pai/4...

What restrictions can you place on the variables involved in the three basic trigonometric substitut...

A component of a spacecraft has both a main system and a backup system operating throughout a flight...

Consider the infinite region in the first quadrant bounded by the graphs of y = 1 /sqrt(x) , y = 0, ...

The charcoal from a tree killed in the volcanic eruption that formed Crater Lake in Oregon contained...

find the volume .
The solid lies between planes perpendicular to the x-axis at x = pai/4 and x = 5pa...

How are the disk and washer methods for calculating volumes derived from the method of slicing? Give...

How would you compare the relative merits of Simpson’s Rule and the Trapezoidal Rule.

a. If (ln x)/x = (ln 2)/2, must x = 2?
b. If (ln x)/x = -2 ln 2, must x = 1/2?
Give reasons for your...

When a particle of mass m is at (x, 0), it is attracted toward the origin with a force whose magnitu...

Find the average value of the function ƒ(x) = 1 /(1 - sin u) on [0, pai/6] .

Derive the formula sinh-1 x = ln (x + sqrt(x2 + 1)) for all real x. Explain in your derivation why t...

Let R be the “triangular” region in the first quadrant that is bounded above by the line y = 1, belo...

Find the moment about the x-axis of a wire of constant density that lies along the curve y = 2x from...

The oldest known frozen human mummy, discov-ered in the Schnalstal glacier of the Italian Alps in 19...

I need to compute each limit. The limit is ...
lim x -&gt; 1
x - 1 
—————
2 - the square root of x +...

Solve the initial value problem
tdy/dt + 2y = t3 , t&gt; 0, y(2) = 1

Dreview
i. lim h(x)
Print Preview
j. h (2)
k. lim h(x)
I. lim h(x)
ya
4
6.
-4
-2

Consider a tank used in certain hydrodynamic experiments. After one experiment the tank contains 200...

Find the length of the curve y = ln (sin x),  pai/6&lt;=x&lt;=pai/2.

Express as a single logarithm and if possible simplify

The equation x 2= 2 x has three solutions: x = 2, x = 4, and one other. Estimate the third solution ...

The region enclosed by the curve y = sech x, the x-axis, and the lines x = +- ln sqrt(3) is revolved...

To find the area of the given parallelogram, use the vector method which is described as.We know that vector product between two vectors is a vector whose length is the area of the parallelogram that has two vectors as two sides.So in first step compute the desired vectors which are sides of the parallelogram as.

Find the area of the parallelogram with vertices K(3, 2, 1), L(3, 5, 3), M(5, 10, 3), and N(5, 7, 1).

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Find the area of the parallelogram with vertices K(3, 2, 1), L(3, 5, 3), M(5, 10, 3), and N(5, 7, 1).

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