Calculus question and answers for August 25, 2023
- Q Find the difference quotient f x h f x h o h A f x 2x 8x 7 B f x 1 X
- Q For questions 9 and 10 find the absolute maximum and minimum values of f if the domain is the indicated region R 9 f x y x 2xy 3y R...
- Q This real world information can be modeled by the expression 15c 5d c represents how many hours he works at the caf 15c represents how much money he makes at...
- Q In Section 5 4 of our textbook example 3 calculates the work needed to drink a soda If the cola glass shape is inverted from the one given in example...
- Q 4 Find A f 4 C f x 2 find x F D E Symmetric to x axis y axis or origin G Increasing B f 2 1 x intercept...
- Q A ball of radius 16 has a round hole of radius 7 drilled through its center Find the volume of the resulting solid
- Q 10 a Find the critical points and draw the phase portrait for the autonomous DE dv 320 0 5v Sketch typical solution curves for each region of the tv plane...
- Q Suppose that R is the finite region bounded by y x y x 5 x 0 and x 3 Find the exact value of the volume of the object we...
- Q Calculate the derivative of the function h t 5 t 6 F t Express numbers in exact form Use symbolic notation and fractions where needed 5 h 1 h 2...
- Q Let f x 43 if x 3 I 3 2x 9 if x 3 Calculate the following limits Enter DNE if the limit does not exist or oo or oo...
- Q Calculate the difference quotient for f x 2x2 at a 1 Express numbers in exact form Use symbolic notation and fractions where needed f 1 h f 1 h Calculate...
- Q Let f x 4 x Compute f 64 and find an equation of the tangent line to the graph at x 64 Use symbolic notation and fractions where needed Let...
- Q Compute f and find an equation of the tangent line to the graph at x a f x 11x a 5 Use symbolic notation and fractions where needed Let y...
- Q A circular swimming pool has a diameter of 20 m the sides are 4 m high and the depth of the water is 3 m How much work in Joules...
- Q Find the points on the graph of f x 12x x where the tangent line is horizontal Use symbolic notation and fractions where needed Give your answer as a comma...
- Q Calculate the derivative of the function 6 t Express numbers in exact form Use symbolic notation and fractions where needed h t 5 t
- Q Evaluate the limit lim h 0 2 h 4 h
- Q Find f 4 and f 4 assuming that the tangent line to y f x at a 4 is y 8x 2 Give exact answers Use symbolic notation and fractions...
- Q Let f x Calculate f x f 5 f 5 h f 5 x x 5 h Express numbers in exact form Use symbolic notation and fractions where needed f...
- Q Find the horizontal asymptotes of f 71 3 641 8 1 6 f 1 Let y f t and give your answer as a comma separated list of equations in...
- Q f x sin x 5x Calculate the limits of f x as x approaches and co Give exact answers Use symbolic notation and fractions where needed sin x lim X118...
- Q In physics one can examine the kinematic properties of an object accelerating at a constant rate based on its initial position and initial velocity The formula for distance traveled s...
- Q Consider the graph of y f x y 5 4 3 2 1 3 x 4 Identify the intervals from the graph where f x 0 3 x 5 1...
- Q 6e 2 e Find the horizontal asymptotes of f t Use symbolic notation and fractions where needed If there are more than one horizontal asymptote give them as a comma...
- Q Find the equation of the tangent line at 1 f 1 when f 1 4 and f 1 2 Use symbolic notation and fractions where needed equation
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