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Calculus
Differentiate from first principle y=tanx
Calculus
Find an equation of the line tangent to the curve y=3x²-1 and perpendicular to the line x-3y=4
Calculus
Find the rate of change of area of the square in m/s with respect to its side when the sides, s, is 4m each.
Calculus
Can a quadratic function have a range of (-infinity, infinity) Justify your answer
Calculus
If a third degree polynomial has a line x-intercept at x=a, discuss what this implies about the linear and quadratic factors of that polynomial
Calculus
Identify a mathematician that contributed to the development of theory of functions in Mathematics. State the contribution made and why was it so important to the field of Mathematics.
Calculus
2. If a third degree polynomial has a lone x-intercept at x=a , discuss what this implies about the linear and quadratic factors of that polynomial.
Calculus
Write the first four terms of a Maclaurin series for 𝑓(𝑥)= 𝑒𝑥
Calculus
9. A ladder 20 ft long is leaning against an embankment inclined 60 ° to the horizontal. If the bottom of the ladder is moved horizontally toward the embankment at 1 ft/sec, how fast is the top of the ladder moving when the bottom is 4 ft from the embankment?
Calculus
10. A picture 40 cm high is placed on a wall with its base 30 cm above the level of the eye of an observer. If the observer is approaching the wall at the rate of 40 cm/sec, how fast is the measure of the angle subtended at the observer's eye by the picture changing when the observer is 1 m from the wall?
