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4 years ago

In this geometric sequence, what is the common ratio ? 104,-52,56,-13

Mathematics

1 answer:

Sever21 [200]4 years ago

3 0

Answer:

Step-by-step explanation:

sequnce 105 865

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Lagrange Multiplier Million Dollar question. Anybody please Use the method of Lagrange multipliers to find the max and min value

jekas [21]

We are given the equation: g(s,t) = t^2 e^s

Which is subject to the constraint: s^2 + t^2=3

The points (x,y) that will maximize g(s,t) will be the points that will satisfy the equation ∇f(x, y, z) = λ∇g(x, y, z), therefore:

2 t e^s = λ (2 t), so e^s = λ --> 1

t^2 e^s = λ (2 s) --> 2

s^2 + t^2 = 3 -->3

To solve this problem, note that λ cannot be zero by equation 1 since e^s can never be zero. Therefore plug in equation 1 to 2:

t^2 e^s = (e^s) (2 s)

t^2 = 2 s --> 4

Plug in equation 4 to 3:

s^2 + 2s = 3

By completing the square:

s^2 + 2s + 1 = 4

(s + 1)^2 = 4

s + 1 = ±2

s = -3, 1

Calculating for t using equation 4:

when s = -3

t^2 = 2(-3)

t = sqrt(-6)

Since t is imaginary, therefore s=-3 is not a solution

when s = 1

t^2 = 2(1)

t = sqrt(2) = ±1.414

Therefore the maxima and minima points are at:

(1, -1.414) and (1, 1.414)

g(1, -1.414)=(-1.414)^2 e^(1) = 5.434

g(1, -1.414)=( 1.414)^2 e^(1) = 5.434

5 0

3 years ago

I really don't know how to do this-

shepuryov [24]

The sum of the interior angles of any quadrilateral is 360°.

So,

90° + 90° + 52° + x = 360°

=> 232° + x = 360°

=> x = 360° - 232°

=> x = 128°

6 0

2 years ago

Read 2 more answers

Jessica reads aloud from science website. She comes across the mesurement 0.32 meter. How shouls she read this mesurement aloud?

andreev551 [17]

Answer:

zero point three two meter

Step-by-step explanation:

Given

$Measurement = 0.32\ meter$

Required

How should it be pronounced

From the measurement above, we can see that it contains a decimal point.

Using the rules of decimal point,

The number before the decimal point will be treated as 1 number and will be pronounced as such.

While numbers after the decimal will be treated as individual digits and will be pronounced individually.

Hence, the pronunciation of 0.32 meter is zero point three two meter

7 0

3 years ago

Read 2 more answers

What do you need to do to extend a number pattern

GREYUIT [131]

You find the pattern and keep doing it.

5 0

3 years ago

For the function below, give the ordered pair if x = 2 f(x)=-3(x+2)2+9

Kay [80]

Answer:

(2, -39)

Step-by-step explanation:

f(x)=-3(x+2)^2+9

f(2)=-3(2+2)^2+9

f(2)=-3(4)^2+9

f(2)=-3(4)(4)+9

f(2)=-3(16)+9

f(2)=-48+9

f(2)=-39

8 0

2 years ago