Try to sketch by hand the curve of intersection of the parabolic cylinder y = x2 and the top half of the ellipsoid x2 + 7y2 + 7z2 = 49. Then find parametric equations for this curve.
Answers
Final answer:
To sketch the curve of intersection, we substitute the equation of the parabolic cylinder into the equation of the ellipsoid. We use the discriminant to determine the nature of the curve and find its parametric equations.
Explanation:
To sketch the curve of intersection of the parabolic cylinder and the top half of the ellipsoid, we can substitute the equation of the parabolic cylinder into the equation of the ellipsoid and then solve for the remaining variable. By doing this, we obtain a quadratic equation.
We can then use the discriminant to determine the nature of the solutions, which will help us identify if the curve is a parabola or an ellipse. Based on the discriminant, we can find the parametric equations for the curve and determine its shape.
For example, if the quadratic equation has two distinct real solutions, then the curve is an ellipse, but if it has one repeated real solution, the curve is a parabola.
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Related Questions
pencils cost 2 dollars each. Rulers cost 3 dollars each. Edith buys p pencils and r rulers. The total cost is T dollars. What is the formula for T in terms of p and r
Select all that justify the following statement.2•1/2=1commutative - additioninverse - additionassociative - multiplicationsymmetriccommutative - multiplicationassociative - additioninverse - multiplication
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Siri round each number to the place of the underlined digit 7.158 The underlined number is five
B. |-5 x 10^2|, √132, 7 5/6
C. |-5 x 10^2|, 7 5/6, √132
D. √132, 7 5/6, |-5 x 10^2|
Answers
A. is the answer did you need an explanation
Answers
Bike:
(4) * (3 1/4) = 13 miles
Swim:
(4) * (2 1/2) = 10 miles
Total:
13 + 10 = 23 miles
For July:
Bike:
(3) * (4 3/4) = 14.25 miles
Swim:
(3) * (3 1/2) = 10.5 miles
Total:
14.25 + 10.5 = 24.75 miles
The difference between both months is:
24.75 - 23 = 1.75 miles
Answer:
the total distance Cameron bike and swim in July compared to the total distance he bike in swim in June was 1.75 miles greater
How many times is the volume of the large sphere than the
small sphere?
2
VX
O 4
O 6
O 8
Answers
Answer:
4 times as great
Step-by-step explanation:
Compute the two different volumes and then compare them.
Smaller sphere: V = (4/3) · π ·r²
Larger sphere: V = (4/3) · π · (2r)² = (4/3) · π · 4 · r²
Comparing these, one sees immediately that the volume of the larger sphere is 4 times as great as that of the smaller sphere.
Answers
Answers
Answer:
$5.50
Step-by-step explanation:
2.50+3.00=5.50
Bruh monky ididididkdkdkd
Answers
Answer:
Yes
Step-by-step explanation:
'
Yes, this F(x) is a polynomial function involving the first and null integer powers of x: x^0 and x^1.
Final answer:
Yes, f(x) = 7 - 2x is a polynomial function because it satisfies the general form of a polynomial, which requires that every term is in the form ax^n for nonnegative integer n.
Explanation:
Yes, the function f(x) = 7-2x is indeed a polynomial function. A polynomial function is a function such as a quadratic, a cubic, a quartic, and so on, for which the function is of the form f(x) = ax^n, where n is a nonnegative integer. In this case, f(x) = 7-2x can be more comprehensively written as f(x) = -2x^1 + 7x^0, which reflects the general form of a polynomial function.
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