Trace the curve x[y^(2)+4]=8 stating all the points used for doing so?
These are the points used for the graphing of this function after you have find the domain of the function :
a)
OR
b) #lim_(x to c^)=+∞#
#3)# Find the point where the curve intersects the Xaxis by putting #y=0# .
Sign up to view the whole answer
By signing up, you agree to our Terms of Service and Privacy Policy
Sign up with email
Answer 2To trace the curve x[y^(2) + 4] = 8, we can solve for y in terms of x:
[ y^2 = \frac{8}{x}  4 ]
[ y = \pm \sqrt{\frac{8}{x}  4} ]
Now, we can choose different values of x to find corresponding yvalues and plot these points to trace the curve.

When x = 1:
[ y = \pm \sqrt{\frac{8}{1}  4} = \pm \sqrt{8  4} = \pm \sqrt{4} = \pm 2 ]
Points: (1, 2) and (1, 2)

When x = 2:
[ y = \pm \sqrt{\frac{8}{2}  4} = \pm \sqrt{4  4} = \pm \sqrt{0} = 0 ]
Points: (2, 0)

When x = 4:
[ y = \pm \sqrt{\frac{8}{4}  4} = \pm \sqrt{2  4} = \pm \sqrt{2} ]
Since the square root of a negative number is not real, there are no real points for x = 4.
Therefore, the points used for tracing the curve are (1, 2), (1, 2), and (2, 0).
Sign up to view the whole answerBy signing up, you agree to our Terms of Service and Privacy Policy
Sign up with email
Answer from HIX Tutor
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
Trending questions
How do you find the maximum, minimum and inflection points and concavity for the function #f(x) = (4x)/(x^2+4)#?
On what interval is #f(x)=6x^3+54x9# concave up and down?
How do you find the first and second derivative of #ln(x^4+5x^2)^(3/2) #?
For what values of x is #f(x)= 9x^3 + 4 x^2 + 7x 2 # concave or convex?
Can a point of inflection be undefined?
Not the question you need?
HIX TutorSolve ANY homework problem with a smart AI 98% accuracy study help
 Covers math, physics, chemistry, biology, and more
 Stepbystep, indepth guides
 Readily available 24/7