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Answer:

Amanda looks to be right?

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Eliminate the parameter to find the cartesian equation of the curve: x=7sinθ,y=cos2θ,−π2≤θ≤π2 x=7sin⁡θ,y=cos2⁡θ,−π2≤θ≤π2 the equation of the curve is: y = equation editorequation editor from x = equation editorequation editor to x =

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Answer:

$y = 1 - (2)/(49)\cdot x^(2)$

Step-by-step explanation:

The parametrical components of the curve are:

$x = 7 \cdot \sin \theta$ and $y = \cos 2\theta$

After some trigonometrical and algebraic handling, the parametrical variable is eliminated in the resulting expression:

$y = \cos^(2)\theta - \sin ^(2)\theta$

$y = 1 - 2\cdot \sin^(2)\theta$

$y = 1 - 2\cdot \left((x^(2))/(49) \right)$

$y = 1 - (2)/(49)\cdot x^(2)$

Final answer:

To eliminate the parameter and find the Cartesian equation of the curve x = 7sin⁡θ,y = cos2⁡θ, we can express x in terms of θ, rearrange the equation, and substitute it into the other equation to eliminate the parameter θ. The resulting equation 2(x/7)² + y - 1 = 0 represents the Cartesian equation of the curve.

Explanation:

To eliminate the parameter and find the Cartesian equation of the curve, we can express x in terms of θ using the given equation x = 7sin⁡θ. Rearranging this equation, we get sin⁡θ = x/7. Similarly, we can express y in terms of θ using the given equation y = cos2⁡θ, which can be rewritten as cos⁡(2θ) = y.

Now we can use the trigonometric identity cos⁡(2θ) = 1 - 2sin²⁡θ to eliminate θ from the equations. Substituting this identity into the second equation, we get 1 - 2(sin⁡θ)² = y.

Simplifying this equation, we have 2(sin⁡θ)² + y - 1 = 0. Finally, we can express sin⁡θ in terms of x using the equation sin⁡θ = x/7, and substitute it into the simplified equation to eliminate θ. This gives us 2(x/7)² + y - 1 = 0, which represents the Cartesian equation of the given curve.

Learn more about Eliminating the Parameter here:

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A=2 pie r squared + 2 pie r h solve for h

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A=2pie r^2 + 2pie rh so get h alone.
first take out the common factor of 2pie 2, so A=2pie r (r+h)
then divide by 2pie r, A/2pie r= r+h
then subtract r, so (A/2pie r) - r= h

For safety, each climber has 8 88 hooks when climbing the mountain. a large group of climbers climbs up a mountain and puts all their supplies in a heap in a cabin. one of the climbers wishes to know the number of climbers in the group, so he counts the number of hooks in the supply heap. if the climber counts h hh hooks, which of the following functions can be used to find the number of climbers, c ( h ) c(h)c, left parenthesis, h, right parenthesis, in the group?

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c(h) = h/8 The answer to the question posed is that a function c(h) = h/8 can be used to find the number of climbers, c(h), in the group.

Sam's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Sam $5.70 per pound, and type B coffee costs $4.15 per pound. This month, Sam made 142 pounds of the blend, for a total cost of $688.50. How many pounds of type B coffee did he use?

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Answer:

165.90 pounds

Step-by-step explanation:

Answer:

165.90

Step-by-step explanation:

Which expression is equivalent to 5x2 – 8 ?
explain

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Answer:

10x+−8

Step-by-step explanation:

multiply 5 x 2 = 10

turn 8 to -8

now your answer is 10x+-8

It takes 1/8 tsp of baking soda to make 4 dozen cookies.How many teaspoons of baking soda does it take to make 1 dozen cookies?

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Given:
1/8 tsp of baking soda to make 4 dozen cookies.

teaspoons of baking soda needed to make 1 dozen cookies.

1/8 tsps ÷ 4 dozen = 1/8 * 1/4 = 1*1 / 8*4 = 1/32 tsps

It takes 1/32 teaspoons of baking soda to make 1 dozen cookies.

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How many positive integers less than 1,000 do not have 7 as any digit?

2x -y=-13x-2y=1 elimination somebody do this for me