
Implicit and Explicit Equations
Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Hard
Thomas White
FREE Resource
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15 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is it challenging to differentiate equations where y is not explicitly a function of x?
Because y cannot be isolated.
Because x cannot be isolated.
Because the equation becomes too complex.
Because implicit equations do not exist.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following is an example of an explicit equation?
3x + y - 2 = 0
y = 2x^2 + 3
x^2 + y^2 = 1
e^x + y^2 + sin(x) = 2
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What characterizes an explicit equation?
x is expressed as a function of y.
Neither x nor y is expressed as a function of the other.
y is expressed as a function of x.
Both x and y are expressed as functions of each other.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following is NOT an explicit equation?
y = e^x - sin(x)
y = 3x + 2
x^2 + y^2 = 1
y = 2x^2 + 3
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is an implicit equation?
An equation that cannot be solved.
An equation where y is a function of x.
An equation where x is a function of y.
An equation where neither variable is explicitly a function of the other.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following is an example of an implicit equation?
x^2 + y^2 = 1
y = 2x^2 + 3
y = e^x - sin(x)
y = 3x + 2
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can implicit equations be transformed into explicit forms?
By rearranging the terms to express one variable in terms of the other.
By isolating x on one side of the equation.
By adding constants to both sides.
By isolating y on one side of the equation.
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