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3 years ago

9. If A=(3,-2) and B=(4,5)find the position vector for

Mathematics

1 answer:

Delvig [45]3 years ago

5 0

The answer to this question is B

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I HAVE 5 MATH QUESTIONS AND I NEED HELP ASAP. ONLY COMMENT IF YOU'RE GONNA HELP ME PLEASE. THANKS! QUESTIONS ARE PASTED BELOW.

valkas [14]

1. (2,3)
2. (-1,-1)
3. infinitely many
4. coincident
5. consistent independent, coincident, inconsistent (in that order)

8 0

4 years ago

Evaluate the integral by making an appropriate change of variables.

VARVARA [1.3K]

By inspecting the integrand, the "obvious" choice for substitution would be

u = y + x

v = y - x

Solving for x and y, we would have

x = (u - v)/2

y = (u + v)/2

in which case the Jacobian and its determinant are

$J=\begin{bmatrix}x_u&x_v\\y_u&y_v\end{bmatrix}=\dfrac12\begin{bmatrix}1&-1\\1&1\end{bmatrix}\implies|\det J|=\left|\dfrac12\right|=\dfrac12$

The trapezoid R has two of its edges on the lines x + y = 8 and x + y = 9, so right away, we have 8 ≤ u ≤ 9.

Then for v, we observe that when x = 0 (the lowest edge of R), v = y ; similarly, when y = 0 (the leftmost edge of R), v = -x. So

-x ≤ v ≤ y

-(u - v)/2 ≤ v ≤ (u + v)/2

-u + v ≤ 2v ≤ u + v

-u ≤ v ≤ u

So, the integral becomes

$\displaystyle\iint_R5\cos\left(7\frac{y-x}{y+x}\right)\,\mathrm dA=\int_8^9\int_{-u}^u\frac52\cos\left(\frac{7v}u\right)\,\mathrm dv\,\mathrm du$

$=\displaystyle\frac52\int_8^9\frac u7(\sin7-\sin(-7))\,\mathrm du$

$=\displaystyle\frac57\sin7\int_8^9u\,\mathrm du$

$=\displaystyle\frac5{14}\sin7(9^2-8^2)=\boxed{\frac{85}{14}\sin7}$

4 0

3 years ago

During a basketball game, chiyann made 15 baskets. She made three more baskets then twice number of baskets made by whitney. How

Nadusha1986 [10]

Answer:

Whitney made 6 baskets

Step-by-step explanation:

Let the number of baskets made by Whitney be x.

The 15 baskets made by

Chiyann is equal to 2 times plus 3 what Whitney made

Mathematically what she made would be 2x + 3

To get x, we equate this equation to 15

2x + 3 = 15

2x = 12

x = 12/2

x = 6 baskets

7 0

3 years ago

How will you share 4 pizzas among 6 learners...help

Phantasy [73]

By splitting the pizza up and sharing

7 0

3 years ago

PLEASE HELP ASAP 25 PTS + BRAINLIEST TO RIGHT/BEST ANSWER

pishuonlain [190]

Answer:

3-i

Step-by-step explanation:

1-5i + 2 +4i

We add the real parts

1+2 =3

We add the imaginary parts

-5i + 4i = -1i

The complex number is

3-i

6 0

3 years ago