Answer Happy

1. Leave no spaces between mathematical operators. For example, the line 2x+ 5y=10 should be typed in as " 2x+5y=10." 2. Do not begin your solution with an equal sign. For example, the answer to the question "The sum of 2 and 5 is" should be typed in as " 7 ", and not " =7 ". 3. The "A" (caret) symbol should be used to indicate exponents. For example, y= 5x would be entered as " y=5∧x." 4. In the case of an expression use brackets. For example, y=(2x+7)2 should be typed " y=(2x+7)∧2"  5. No vector symbols are needed in your answers. For example 2uˉ+3vˉ would be typed as " 2u+3v ". 6. Other common symbols include: example x−33​ would be typed as " x/(x−3) ". Be sure to frame the numerator and denominator with brackets as necessary. - The " x " (multiplication or cross product) symbol, which should be typed as "**" (asterisk). For example <<u+5vˉ would be typed as "u"5v". - The " ​ " (square root) symbol, which should be typed as "root". For example y=x3+2​ would be typed as "root(x^ 3+2)′′. - The "П" (pi) symbol, which should be typed as "pi". For example -7П
It is known that the displacement of a particular object is given by the equation s(t)= 2t2+5. Then at time: a. t=2 the velocity is Question 4 (1 point) For the function f(x)=x3−4x, what is the average rate of change between: a. x=3 and x=4 ? b. x=0 and x=0.5? Question 5 ( 1 point) What is the simplified average rate of change between x=2 and x=2+h for the function: (Enter your expression as you would enter an equation in Winplot) a. f(x)=x2 ? A b. f(x)=f(x)=x1​ ? Question 6 ( 1 point) For the function f(x)=2x2+5, calculate hf(a+h)−f(a)​ for a=1 and h=0.1
Given the above graph of the function y=f(x), determine the interval(s) (i.e. ranges of x values) for which each of the following is/are true (Enter your answers separated by commas with no spaces. eg, x<A,x>D or C<x<D or x=D ) f′(x)=0 f′(x)>0 f′(x)<0 Af A A. Question 2 ( 1 point) Using the function f(x)=x3 find each of the following. (Separate multiple answers by commas with no spaces. eg. 2, -5) a. the value of x where the slope of a tangent is 27 b. the slope of the tangent when x=−5 c. the value of x where the slope of a tangent is 3 d. the slope of the tarigent when x=2