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3 years ago

Find all of the polar coordinates of point P if P = (7,pi/3)

Mathematics

2 answers:

lions [1.4K]3 years ago

6 0

Answer: The answer is b on edge

Step-by-step explanation:

oee [108]3 years ago

4 0

If P has Cartesian coordinates (7, pi/3), then its Polar coordinates are (square root of ((7)^2 + (pi/3)^2) , arcton (pi/21))

<u>Explanation</u>:

The given coordinates ( 7 , π /3 ) look as if they are already in polar form (radius = 7 , and angle = π/3).

but in case ( 7 , π /3 ) really are Cartesian coordinates (i.e. ( x , y ) = ( 7 , π/3 ) )

The radius is given by √( x /2 + y/ 2) and the angle by the arctan ( y ,x ).

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Karen, 28 years old and a single taxpayer, has a salary of $33,000 and rental income of $33,000 for the 2019 calendar tax year.

mart [117]

Answer:

$4,800

Step-by-step explanation:

The maximum contribution for traditional IRA in 2019 = $6000

Given that;

karen has a salary of $33,000 and rental income of $33,000; then total income = $66,000

AGI phase-out range for traditional IRA contributions for a single taxpayer who is an active plan participant is $64,000 – $74,000.

PhaseOut can be calculated as: $\frac{66,000-64000}{74,000-64,000} *6000$

= $\frac{2000}{10000} *6000$

= 0.2 * 6000

= 1200

Therefore, the maximum amount that Karen may deduct for contributions to her traditional IRA for 2019 = The maximum contribution for traditional IRA in 2019 - PhaseOut

= $6000 - $1,200

= $4,800

3 0

4 years ago

What is the length of the line segment with endpoints (−3,8) and (7, 8) ? Enter your answer in the box

ki77a [65]

Length = √(y2-y1)² + (x2-x1)²
l = √(8-8)² + (7+3)²
l = √10²
l = 10

In short, Your Answer would be 10 units

Hope this helps!

6 0

4 years ago

Read 2 more answers

A bowl contains 11 white stones and 3 black stones. One stone is chosen and not replaced, then another stone is chosen. What is

Nataly [62]

Answer:

11/ 14 chance that you will pick a white stone

3/14 chance to picka a black stone

Step-by-step explanation:

Hope that helps

7 0

3 years ago

Read 2 more answers

H=(-5) answer needed now!!!!

wariber [46]

Answer:

-2

Step-by-step explanation:

h(-5) represents the y value when x is -5.

7 0

4 years ago

Suppose that \nabla f(x,y,z) = 2xyze^{x^2}\mathbf{i} + ze^{x^2}\mathbf{j} + ye^{x^2}\mathbf{k}. if f(0,0,0) = 2, find f(1,1,1).

lesya [120]

The simplest path from (0, 0, 0) to (1, 1, 1) is a straight line, denoted $C$ , which we can parameterize by the vector-valued function,

$\mathbf r(t)=(1-t)(\mathbf i+\mathbf j+\mathbf k)$

for $0\le t\le1$ , which has differential

$\mathrm d\mathbf r=-(\mathbf i+\mathbf j+\mathbf k)\,\mathrm dt$

Then with $x(t)=y(t)=z(t)=1-t$ , we have

$\displaystyle\int_{\mathcal C}\nabla f(x,y,z)\cdot\mathrm d\mathbf r=\int_{t=0}^{t=1}\nabla f(x(t),y(t),z(t))\cdot\mathrm d\mathbf r$

$=\displaystyle\int_{t=0}^{t=1}\left(2(1-t)^3e^{(1-t)^2}\,\mathbf i+(1-t)e^{(1-t)^2}\,\mathbf j+(1-t)e^{(1-t)^2}\,\mathbf k\right)\cdot-(\mathbf i+\mathbf j+\mathbf k)\,\mathrm dt$