11/16/22
Find the equation of the line 𝓵 if you know
a). 𝓵 passes across the intersection point of the lines s1 and s2 determined by the equations 2x = -1 + 3x + y and -2x + y + 9= -x + y, respectively.b). 𝓵 is perpendicular to the line 𝓻 determined...
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11/16/22
A kite 80 ft above the ground moves horizontally (away from the person holding the string) at a seed of 4 ft/s.
At what rate (in rad/s) is the angle (in radians) between the string and the horizontal changing when 160 ft of string have been let out? Include an appropriate picture that shows your variables....
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11/16/22
Least integer function. Graph the function for -2 < x ≤ 6,
The output y of the least integer function is the least integer greater than or equal to the input value. This function is written f(x) =[x]. Graph the function for -2 < x ≤ 6,
Differentials Problem Determining Grams
Let f(t) be the weight (in grams) of a solid sitting in a beaker of water. Suppose that the solid dissolves in such a way that the rate of change (in grams/minute) of the weight of the solid at any...
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11/15/22
Quadratic equation
An arrow is shot vertically upward from a platform 30ft30ft high at a rate of 157ft/sec157ft/sec. When will the arrow hit the ground? Use the formula: h=−16t2+v0t+h0h=−16t2+v0t+h0. (Round your...
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11/15/22
What is known as the red planet?
It is next to the Earth. It is red, but not hot. It is actually cooler than Earth.
11/13/22
concavity and derivatives
Let 𝑓 be a twice differentiable function on an open interval (𝑎,𝑏).Which statements regarding the second derivative and concavity are true?a)If 𝑓″(𝑐) is positive, then the graph of 𝑓 has a local...
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11/13/22
mean value theorem
Select the true statements involving the mean value theorem and monotonicity.a) If 𝑓′(𝑥)<0 for all 𝑥 in an interval, then 𝑓 is increasing on that interval.b) If 𝑓 is continuous on [𝑎,𝑏] and...
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