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Engineering Math Practice Test: Curve Tracing
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Avg score: 72% • Most missed: “What is the value of the given limit, \(\lim_{x\to 0}⁡\frac{25}{x}\)?”
Curve tracing is a technique in differential calculus that analyzes the characteristics and existence of Cartesian curves. It's also known as curve sketching.  Curve tracing is an analytical method that involves studying a curve's characteristics to draw an approximate shape. These characteristics include: Symmetry Intercepts Asymptote Tangents Multiple points Region of existence Sign of first and second derivatives  Curve tracing is used to visualize and understand the shape and behavior of a given function.  To graph curves in calculus, you can: Find the domain Find the holes... Show more
Engineering Math Practice Test: Curve Tracing
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19 Questions

1. At the point where \(\frac{dy}{dx}=0,\) the tangent is parallel to y axis.
2. Vertical asymptotes are parallel to both x and y axes.
3. Which of the following is not an example for curve symmetric about y axis?
4. What is the value of the given limit, \(\lim_{x\to 0}⁡\frac{25}{x}\)?
5. Which of the following characteristic is not included in the study of general procedure for tracing the algebraic curve?
6. Which of the following represents the polar equation of Cissoid of Diocles?
7. Which of the following is not correct regarding Folium of Descartes?
8. Which of the following is not an example for curve symmetric about y axis?
9. What are the tangents to the curve x3+ y3=3axy at the origin?
10. Oblique asymptotes are parallel to both x and y axes.
11. Which of the following represents the correct cartesian equation for Lemniscate of Bernoulli?
12. Oblique asymptotes are parallel to both x and y axes.
13. In geometry, the folium of Descartes is an algebraic curve defined by the equation
x3+y3+3xy=0.
14. In geometry, the folium of Descartes is an algebraic curve defined by the equation
x3+y3+3xy=0.
15. Which of the following is the representation of a plane algebraic curve of nth degree?
16. What are the tangents to the curve y2=4ax at the origin?
17. At the point where \(\frac{dy}{dx}=∞,\) the tangent is parallel to y axis.
18. What are the tangents to the curve y2=4ax at the origin?
19. Which of the following characteristic is not included in the study of general procedure for tracing the algebraic curve?

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