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Slope: Quiz


Question 1: Using ________, we can determine the limit, or the value that Δyx approaches as Δy and Δx get closer to zero; it follows that this limit is the exact slope of the tangent.
Differential calculusDerivativeContinuous functionIntegral

Question 2: Steam-age railway gradient post indicating a slope in both directions at Meols railway station, ________
WalesUnited KingdomCanadaEngland

Question 3: The ________ of the function at a point is the slope of the line tangent to the curve at the point, and is thus equal to the rate of change of the function at that point.
DerivativeIntegralCalculusDifferential calculus

Question 4: The concept of slope applies directly to grades or gradients in geography and ________.
Electrical engineeringCivil engineeringEnvironmental engineeringStructural engineering

Question 5: In ________, the slope or gradient of a line describes its steepness, incline, or grade.
Set theoryMathematical logicMathematicsGeometry

Question 6: Through differential calculus, one can calculate the slope of the tangent line to a ________ at a point.
ManifoldElliptic curveCurveAlgebraic geometry

Question 7: There are two common ways to describe how steep a ________ or railroad is.

Question 8: Through ________, the grade m of a road is related to its angle of incline θ by

Question 9: Other curves have "________" slopes and one can use calculus to determine such slopes.


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