How Do I Convert The Polar Equation R 10 Sin Theta To Its Cartesian Equivalent

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Cartesian coordinates, also known as Rectangular coordinates, are defined in terms of ##x## and ##y##. So, for this problem ##theta## has to be eliminated/converted using basic foundations described by the unit circle and right triangle trigonometry.

##r=10sin(theta)##

Remember that …

##x=r*cos(theta)##

##y=r*sin(theta)##

##r^2=x^2+y^2##

Multiply both sides of the equation by ##r##

##r*r=10r*sin(theta)##

##r^2=10r*sin(theta)##

##x^2+y^2=10r*sin(theta)##

Use the fact that ##y=r*sin(theta)## to make a substitution.

##x^2+y^2=10y##

##x^2+y^2-10y=0##

The above equation is the Cartesian/Rectangular coordinate equivalent to the given Polar equation.

 
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How Do I Find Half Life Rate Of Disappearance Constant And Order

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work Help With Chegg x * How do I find rates and running X+/takeAssignment/takeCovalentActivity.do?locator=assignment-take&takeAssignmentSessionLocator=assignment-take[References]Use the References to access important values if needed for this question.In a study of the decomposition of hydrogen iodide on a gold surface at 150HI(g)-21/2 H2(g) + 1/2 12(g)the following data were obtained:[HI], M0.5940.2970.1497.45×10-2seconds521781911Hint: It is not necessary to graph these data.Visited(1)The observed half life for this reaction when the starting concentration is 0.594 M iss and when the starting concentration is 0.297 M is(2)The average rate of disappearance of HI from t = 0 s to t= 521 s isM s-1>(3)The average rate of disappearance of HI from t = 521 s to t = 781 s isM s-1.(4)Based on these data, the rate constant for thisorder reaction isM s-1Submit AnswerRetry Entire Group8 more group attempts remainingCengage Learning | Cengage Technical Support

 
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How Do I Convert The Equation F X X 2 2x 3 To Vertex Form

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##color(red)( f(x) = (x-1)^2-4)##

The vertex form of a quadratic is given by ##y = a(x – h)^2 + k##, where (##h, k##) is the vertex.

The “##a##” in the vertex form is the same “##a##” as in ##y = ax^2 + bx + c##.

Your equation is

##f(x) = x^2-2x-3##

We convert to the “vertex form” by .

Step 1. Move the constant to the other side.

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

Step 2. Square the coefficient of ##x## and divide by 4.

##(-2)^2/4 = 1##

Step 3. Add this value to each side

##f(x)+3+1 = x^2-2x+1##

Step 4. Express the right hand side as a square.

##f(x)+4 = (x-1)^2##

Step 5. Isolate ##f(x)##.

##f(x) = (x-1)^2-4##

The equation is now in vertex form.

##y = a(x – h)^2 + k##, where (##h, k##) is the vertex.

##h = 1## and ##k = -4##, so the vertex is at (##1,-4##).

 
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How Do I Find Capital Lease Obligations

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How do I find capital lease obligations?

six ovens were rented December 31, with $20,000 charged to rent expense. The lease runs for 6 years with an implicit interest of 5%. At the end of 6 years, Peyton will own them. Make any necessary adjusting entries.

 
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How Do I Convert 3427 Into Scientific Notation

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A number in is in the form

##a * 10^b##

Generally,

##1 <= a < 10##

For ##3427##, the decimal point is on the right of 7

##3427.0##

We need to move the decimal such that ##1 <= a < 10## will be satisfied.

However, we also need to retain its value.For each movement of the decimal place to the left, multiply the number by 10.

To satisfy ##1 <= a < 10##, the decimal place needs to move by 3 places to the left.

Hence, we have

##3.427 * 10^3##

For the longer version of converting to scientific notation, we have##3427 * (1) = 3427####3427 * (1/10 * 10) = 3427####(3427 * 1/10) * 10 = 3427####342.7 * 10 = 3427##

##342.7 * 1 * 10 = 3427####342.7 * (1/10 * 10) * 10 = 3427####(342.7 * 1/10) * (10 * 10) = 3427####34.27 * (10^2) = 3427##

##34.27 * 1 * (10^2) = 3427####34.27 * (1/10 * 10) * (10^2) = 3427####(34.27 * 1/10) * (10 * 10^2) = 3427####3.427 * 10^3 = 3427##

 
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How Do I Find An Inverse Matrix On An Nspire

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First, make sure that your matrix is “square”. That means, it must be 2×2 or 3×3 or 4×4….

Then, press the Math Templates button (to the right of the number 9, and to the left of the “book”) and access the correct shape of the matrix you wish to enter. The first possible matrix template is for a 2×2 matrix. That is what I selected to enter my example matrix that you also see on the screen. If you wish to enter a 3×3 or larger square matrix, you will select the last matrix template shape (6th icon from the left, or the one just to the left of the sigma notation).

Now, see the image above to see the 2×2 matrix and its inverse that I typed into my TI-nspire. You will finish entering the four numbers inside the brackets, and press the ^ button, followed by -1. This does NOT mean the -1 power, it does NOT mean the reciprocal, in the context of a matrix, this symbol means INVERSE.

If you need to be able to find the inverse by hand….ask again for help!

 
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How Do I Calculate The Unit Vector Of 8 10

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How do I calculate the unit vector of <-8,-10 >?

 
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How Do I Figure Operating Cash Flows

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How do I figure operating cash flows?Base Price – 70,000Modify for special use – 15,000Sell after three years – 30,000Increase in Net Inventory – 4,000Save 25,000 per year before taxTax Rate = 40%A.

 
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How Do I Factor 2d 3 18d

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how do i factor 2d^3+18d

 
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How Do I Find The Sine Of The Angle Between Two Vectors

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I’m assuming you either have the components of the vectors, or their magnitude and angle. You will need to apply the cross product to get the sine.

Honestly, it’d be much easier if someone explains it to you on paper, it’s too long to type here and may seem hard, but it’s pretty easy.

Let’s assume the vectors are U and V.

U X V (cross product) = |U| * |V| * Sin(theta)

Which is the magnitude of the first vector, multiplied by the magnitude of the second vector, multiplied by the sine of the angle between them.

Now, you have the magnitude of both vectors, but lack the sine and the actual cross product.

To get the cross product, apply this:

Replace a with U and b with V.

Doing this will get you the components, you want the magnitude, I assume you know it, but anyway, the magnitude is ##sqrt(x i^2 +yj 2 + zk ^2)## It’s the square root of all the components squared.

Replace in the original law, and solve for sine.

 
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