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Bess [88]
3 years ago
5

Identify the surface with the given vector equation. r(u, v) = 2 sin(u) i + 5 cos(u) j + v k, 0 ≤ v ≤ 5 plane hyperbolic parabol

oid circular paraboloid elliptic cylinder circular cylinder
Mathematics
1 answer:
olchik [2.2K]3 years ago
6 0
Note that this just produces three parametric equations:

x(u) = 2 \sin(u)
y(u) = 5 \cos(u)
z(v) = v

In the x-y plane, this is just he parametric equation for an ellipse (as a function of u). The z is simply a linear function. 

The surface is then an ellipse extruded along the z-axis. We get a elliptic cylinder.
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Solve the following system of equations and show all work.<br> y = 2x^2 +9x<br> y = 4x + 25
Genrish500 [490]

Answer:

x = 5/2 thì y = 35 và x = -5 thì y = 5

Step-by-step explanation:

thay y = 4x + 25 vào phương trình y = 2x ^ 2 + 9x ta có:

4x + 25 = 2x ^ 2 + 9x

⇒2x ^ 2 + 5x - 25 = 0

⇒ x = 5/2 và x = -5

thay x = 5/2 vào phương trình y = 4x + 25 ⇒ y = 4*(5/2) + 25 = 35

thay x = -5 vào phương trình y = 4x + 25 ⇒ y = 4*(-5) + 25 = 5

7 0
3 years ago
Which function is increasingnon the interval (negative infinity, positive infinity)
BlackZzzverrR [31]

Answer:

h(x) = 2^(x) - 1.

Step-by-step explanation:

Let's look at each equation:

f(x) = -3x +7, Well as x increases, since it's multiplication, there are "going to be more" -3's, so it's going to be decreasing.

g(x) = -4(2^x). While 2^x is increasing, because "there are going to be more 2's multiplied by each other" as x increases, it's being multiplied by a negative number, so it's actually going to be decrasing

h(x) = 2^(x) - 1. Here's it's going to be increases as x goes towards infinity because "there are going to be more 2's multiplied by each other", and there isn't any negative sign, while there is a negative 1, it's constant, so the overall value will be increasing

3 0
1 year ago
What is Three less than seven
irina1246 [14]

Answer: 4

Step-by-step explanation:

7-3=4

5 0
3 years ago
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If p(x) = 2x^3 - 3x + 5, what is the remainder of p(x) divided by (x - 5)
Alenkinab [10]

The question is

if p(x)= 2x³-3x+5, what is the remainder of p(x) divided by (x-5)

We use the synthetic division to find the remainder,

x-5=0

x=5

Now, write the coefficients of polynomial.


5 | 2  0  -3    5

   | ↓ 10  50  235

-------------------------------

     2 10  47  | 240→ is the remainder.

Quotient= 2x²+10x+47


Remainder= 240

4 0
3 years ago
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There are 4 second-grade classrooms that share 15 packs of paper. How much paper should each classroom get
Pachacha [2.7K]

Answer:

3.75

Step-by-step explanation:

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3 years ago
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