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2 years ago

PLS ANSWER ASAP FASTTT

Mathematics

2 answers:

NemiM [27]2 years ago

8 0

Answer:

26.9 i think

Step-by-step explanation:

Ray Of Light [21]2 years ago

8 0

Answer:

26.9

Step-by-step explanation:

I have attached the work to your problem.

Please see the attachment below.

I hope this helps!

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(1 point) (a) Find the point Q that is a distance 0.1 from the point P=(6,6) in the direction of v=⟨−1,1⟩. Give five decimal pla

natima [27]

Answer:

following are the solution to the given points:

Step-by-step explanation:

In point a:

$\vec{v} = -\vec{1 i} +\vec{1j}\\\\|\vec{v}| = \sqrt{-1^2+1^2}$

$=\sqrt{1+1}\\\\=\sqrt{2}$

calculating unit vector:

$\frac{\vec{v}}{|\vec{v}|} = \frac{-1i+1j}{\sqrt{2}}$

the point Q is at a distance h from P(6,6) Here, h=0.1

$a=-6+O.1 \times \frac{-1}{\sqrt{2}}\\\\= 5.92928 \\\\b= 6+O.1 \times \frac{-1}{\sqrt{2}} \\\\= 6.07071$

the value of Q= (5.92928 ,6.07071 )

In point b:

Calculating the directional derivative of $f (x, y) = \sqrt{x+3y}$ at P in the direction of $\vec{v}$

$f_{PQ} (P) =\fracx{f(Q)-f(P)}{h}\\\\$

$=\frac{f(5.92928 ,6.07071)-f(6,6)}{0.1}\\\\=\frac{\sqrt{(5.92928+ 3 \times 6.07071)}-\sqrt{(6+ 3\times 6)}}{0.1}\\\\= \frac{0.197651557}{0.1}\\\\= 1.97651557$

$\vec{v} = 1.97651557$

In point C:

Computing the directional derivative using the partial derivatives of f.

$f_x(x,y)= \frac{1}{2 \sqrt{x+3y}}\\\\ f_x (6,6)= \frac{1}{2 \sqrt{22}}\\\\f_x(x,y)= \frac{1}{\sqrt{x+3y}}\\\\ f_x (6,6)= \frac{1}{\sqrt{22}}\\\\f_{(PQ)}(P)= (f_x \vec{i} + f_y \vec{j}) \cdot \frac{\vec{v}}{|\vec{v}|}\\\\= (\frac{1}{2 \sqrt{22}}\vec{i} + \frac{1}{\sqrt{22}} \vec{j}) \cdot \frac{-1}{\sqrt{2}}\vec{i} + \frac{1}{\sqrt{2}} \vec{j}$

4 0

2 years ago

Dmitry [639]

The capacity of the mug is 7/6 cups.

<h3>What is the capacity of the mug?</h3>

Given,

A mug is 3/7 full.

The mug contains 1/2 of a cup of water.

Solution:

Let x be the water.

Water the mug has = 3/7 of x

= 3/7x

Since the water in the mug is 1/2 cup,

3/7x = 1/2

x = 1/2 ÷ 3/7

= 1/2 × 7/3

= 7/6

Therefore,

The capacity of the mug is 7/6 cups.

To learn more about capacity, refer

brainly.com/question/13484626

#SPJ9

4 0

11 months ago

Evaluate the expression when b= 3 and c = -4 <br><br>b - 4c

Sedaia [141]

Answer:

15.

c is a negative

3 - (-12)

5 0

2 years ago

The midpoint of FG is (6-4) and the coordinates of point Fare (-3, 6) What are the coordinates of point G?

lora16 [44]

Answer:

(15,-14)

Step-by-step explanation:

Given that,

The midpoint of FG is (6-4) and the corrdinates of F are (-3,6).

Let (x,y) be the coordinates of point G. Using mid point formula,

$\dfrac{x+(-3)}{2}=6\ \text{and}\ \dfrac{y+6}{2}=-4\\\\x-3=12\ \text{and}\ y+6=-8\\\\x=15,\ \text{and}\ y=-14$

So, the coordinates of G are (15,-14).

4 0

2 years ago

a rectangular parking lot has length that is greater than the width the area of the parking lot is 160 square yards find the len

MissTica

Let 'w' represent the width of the parking lot, then 'w+6' represents its length

area = width * length

160 = w * (w+6)

solving for 'w' we have a positive value of w=10

10+6=16

the width of the parking lot is 10 yards, the length of the parking lot is 16 yards

3 0

2 years ago