Calculus question and answers for October 04, 2023
- Q A Norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular window see fig dimensions of a Norman window of maximum area if the total...
- Q Evaluate the indefinite integral J 3 25 71 dt 1 3 2 5 1 dt
- Q Given that x and y are functions of time find the indicated rate of change dy dt Find dx dit dx when x 5 y 2 and dt 4 given...
- Q 14x7 6 8x3 4 dx 14x716 7 6 3 4 C
- Q Set up an integral representing the area A of the region enclosed by the given curves x y x 2 y 1 D x 2 3 ov A dy
- Q An offshore oil well is 2 kilometers off the coast The refinery is 6 kilometers down the coast see figure Laying pipe in ocean is twice as expensive as on...
- Q Use differentials to approximate the value of the expression Compare your answer with that of a calculator Round yo answers to four decimal places 2 99 3 using differentials using...
- Q A rectangle is bounded by the x axis and the semicircle y 49 x2 see figure What length and width should the rectangle have so that its area is a...
- Q An open box of maximum volume is to be made from a square piece of material s 36 inches on a side by cutting equal squares from the corners and...
- Q variables D find the basic feasible solution determined by setting the nonbasic variables equal to 0 and c decide whether this is a maximum solution a What are the basic...
- Q Given that f x 3x 1 and h x x find h o f 2 hof 2 Simplify your answer
- Q Let be an angle in quadrant III such that sec 0 Find the exact values of cote and sin0 cot0 sin 0 0 3 16 X 5 4
- Q Graph the inequality 7x ys 4 Use the graphing tool to graph the inequality 10 8 B 4 32 104 18 164 44 2 24 40
- Q Graph the function f x 6x for x 0 x 5 for x 20 Choose the correct graph below O A G OB 40 10 Q EV O C 2...
- Q Two cars A and B start side by side and accelerate from rest The figure shows the graphs of their velocity functions DA 0 A B 2 a Which car...
- Q Graph the following f x 2 3x 3 for x 3 for x 23 Choose the correct graph below A Q OB Q Q OC 4 OD
- Q The figure shows a horizontal line y c intersecting the curve y 8x 27x Find the number c such that the areas of the shaded regions are equal y y...
- Q Sketch the region enclosed by the given curves y 2x y 2x y 3 3 2 2 1 1 1 2 3 O 2 1 2 3 2 MY NOTES...
- Q Find the area of the shaded region A 6 y x 15x 2 4 4 y 20 10 10 20 2 4 4 4 y x 6 X
- Q Sketch the region enclosed by the given curves y x 5 x y 5 4 2 2 y y 4 2 1 1 2 2 3 3 4 4 5...
- Q Sketch the region enclosed by the given curves y x y 6x x y 10 10 5 5 10 5 10 10 B 10 Find the area of the region...
- Q Consider the function f x x 6x 49x 294 When f x is divided by x 7 the remainder is 0 For which other binomial divisors is the remainder 0...
- Q If h x In 7x 5 8 x 5 sin find h x Provide your answer below
- Q Using the rational zero theorem which is a rational zero of f x x 5x 7x 3 Select the correct answer below 3 1 5 3 1 5 2 0...
- Q Find the relative minimum value of f x y 4x 4y 2xy subject to the constraint x y 6 The relative minimum value is f Simplify your answers
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