Calculus question and answers for December 27, 2023
- Q If C x is the cost of producing x units of a commodity then the average cost per unit is c x C x 3 000 110x 6x 2 a...
- Q If 30 000 cm of material is available to make a box with a square base and an open top find the largest possible volume in cm of the box...
- Q Consider the following problem a farmer with 750 feet of fencing wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side...
- Q We will now write a function that is the product of our two numbers where x represents the smaller number and x 56 represents the larger number as follows f...
- Q Any nonzero complex number has n nth roots The principal nth root of r cos i sin 0 is rcos i sin 0 cos n other roots are evenly spaced...
- Q Find the dimensions of a rectangle in m with perimeter 76 m whose area is as large as possible Enter the dimensions as a comma separated list m
- Q Let and w represent the length and the width of the rectangle measured in m Let A represent the area of the rectangle measured in m Writing an equation for...
- Q oh Answer each of the questions throughout the problem below NOTE You will have to submit your scratchwork and also include a graph for parts A B for this problem...
- Q If two numbers have a difference of 56 and we let x represent the smaller of these two numbers then the larger of these two numbers is given by the...
- Q Find two numbers whose difference is 46 and whose product is a minimum smaller number larger number
- Q DeMoivre s Theorem For a complex number in polar form r cos i sin r cos no i sinne Question Calculate 3 cos 60 i sin 60 NOTE You will...
- Q Find all missing measurements for the triangle with b 22 7 c 14 2 and A 22 Using the Law of Cosines a 22 7 Select 2 22 7 Select...
- Q 5x 2 sin cos 0 COS 2 Since it s something times something we can break our equation into smaller simpler equations 2 sin 2 0 OR cos sin 0...
- Q Now we just multiply both sides of the equation by 2 to get x by itself and then pick out the solutions with 0 x T Choose the relevant solutions...
- Q Example Find all solutions to sin 3x sin 2x with 0 x 2 First we bring everything to one side of the equation sin 3x sin 2x 0 Next we...
- Q he sum and difference formulas are in section 5 2 of your textbook Example Find sin 105 According to section 5 2 of our textbook sin a sin a cos...
- Q Suppose oil spills from a ruptured tanker and spreads in a circular pattern If the radius of the oil increases at a constant rate of 2cm sec how fast is...
- Q Using the accompanying Colleges and Universities data to find 95 confidence intervals for the median SAT for each of the two groups liberal arts colleges and research universities Based on...
- Q Let g be the function given by g x x At what value of x on the closed interval 1 1 does g have an absolute maximum O 1 0...
- Q How many points of inflection are on the graph of the function f x 12x 14x 7x 9 Select the correct answer O O O O 0 1 2 3...
- Q 10pts Section 16 2 Evaluate J Laye x y 2 Include a sketch of the region of integration in your solution xy dA where R is the region bounded by...
- Q Let f be a function such that f 1 2 At each point x y on the graph of f the slope is 5xy x y 5 Which of the...
- Q Find the values of a for which y ea satisfies the equation y 4y 8 a 1 and a 1 a 3 and a 3 a 1 and a 3...
- Q Differentiate the function Y O e e e e O2e 2e 2 ez e O 4 e e 0 4 O ez e z x ete ex e
- Q Calculate the derivatives of the following function sin 1 x x Ocos x x 1 sin O 1 2 3 ONA 2 1 x 3 x 1 1 x 2
- Q What is the equation of the tangent line to the curve y arctan 2x at the point which x 1 Write the equation in point slope form Oy x arctan...
- Q Find two positive numbers whose product is 144 and whose sum is a minimum Select the correct answer 4 36 2 72 12 12 6 24 3 48
- Q 50 100 Select the correct answers 8 6 4 y f x 3 MAMM
- Q f x 13 0 1 02 3 5 17 28 41 Selected values of a differentiable function f are given in the table above What is the fewest possible number...
- Q If y 2x 6x and 6 find dos s 0 948 836 946 928 none of these when x 5 Select the correct answer
- Q Find the absolute maximum value of y 36 x on the interval 6 6 Select the correct answer 0 1 05 6 7
- Q 4 5 8 5 0 5 1 5 10 Select the correct answer O 1 1 8 9 2 6 O 26 u 8 9 12 x
- Q Find the critical numbers of f x x x 3 Select the correct answer 27 7 20 O 0 2 O 0 3 0 3 22 1 7 2 2...
- Q Suppose that F x f g x and g 14 2 g 14 5 f 14 15 and f 2 12 Find F 14 Select the correct answer 24 60...
- Q Find any absolute or local maximum and minimum values of f x 8 2x if x 6 Select the correct answer O 4 is a local maximum 4 is an...
- Q Find the inflection points for the function given f x 8x 2 sinx 0 x 3x Select the correct answer 8x 2x 16x 2 x 2 2 16x 2 x...
- Q Estimate the extreme values of the function y x x 9x 72x 2 Select the correct answer 1 226 223 146 182 150 223 383 18 200 95 O
- Q Calculate y x4 x y x 3y Select the correct answer Oy y4 2xy 4x x 2 Oy 1 y 2xy 4x x 3 2 x 2x 3 x 4x...
- Q Find the number c that satisfies the conclusion of the Mean Value Theorem on the given interval f x 2 x 0 9 Select the correct answer Oc 914 c...
- Q If a varies jointly as b and c and a 27 when b 18 and c 3 find a when b 6 and c 1 3
- Q Two children are playing with a ball The girl throws the ball to the boy The ball travels in the air curves 12 ft to the right and falls 37...
- Q 1 point Consider the initial value problem y 3 2y y 2y 0 y 0 1 y 0 2 y 0 0 Suppose we know that y t e y2...
- Q 1 point Find the general solution to y y 7y 7y 0 In your answer use c c and c3 to denote arbitrary constants and x the independent variable Enter...
- Q 1 point Find the general solution to 3y 108y 0 Give your answer as y In your answer use c and c to denote arbitrary constants and x the independent...
- Q y c1 e 0 x c2 e 3 x y 1 33 e 0 x 0 33 e 3x y c e x c e 3x y 1 33e x...
- Q 1 point Are the functions f g and h given below linearly independent f x e x g x xex h x x e x If they are independent enter...
- Q point Find the general solution to y 4y 29y 0 Give your answer as y In your answer use c and to denote arbitrary constants nd x the independent variable...
- Q 1 point a Find the general solution to y 3y 0 Give your answer as y In your answer use c and c to denote arbitrary constants and x the...
- Q 1 point a Find the general solution to y 10y 25y 0 Enter your answer as y In your answer use c and c to denote arbitrary constants and x...
- Q 1 point Consider the initial value problem y y 31 y 0 2 y 0 2 Suppose we know that a complementary solution is y t c cos t sin...
- Q 1 point Solve the initial value problem y 9y 20y 0 y t y 0 1 y 0 0
- Q 1 point Find the two values of r for which is a solution of the differential equation smaller value larger val y x ex y 18y 77y 0
- Q 1 point Use the Wronskian to show that the functions y e x and y ex are linearly independent Wronskian det These functions are linearly independent because the Wronskian Choose...
- Q Differentiate g x log 37 3x 2 x 0
- Q Using the accompanying Accounting Professionals data to answer the following questions a Find and interpret a 99 confidence interval for the mean years of service b Find and interpret a...
- Q Differentiate y log 10X d log 10X
- Q identify a1 r and n for the sum of the geometric series 1 2 38 9 32 27 128 81 512
- Q Find the derivative of the following function A 630 1 708 A
- Q Find the derivative of the following function y 3 11X
- Q Consider the following curve 2 cos 20 25 Write an equation for the curve in terms of sin 8 and cos 8 Find a Cartesian equation for the curve Identify...
- Q We are given the point in polar coordinates 9 7 We are asked to find two other pairs of polar coordinates to represent the point one with the radius r...
- Q Find a Cartesian equation for the curve r 3 cos 0 Identify the curve circle Olima on Oline O ellipse Ohyperbola
- Q The demand for a new computer game can be modeled by p x 43 5 3 In x for 0 x 800 where p x is the price consumers will...
- Q Students in a zoology class took a final exam They took equivalent forms of the exam at monthly intervals thereafter After t months the average score S t as a...
- Q Vrea sin gr dr ria Vore sin gr dr Va rla a q 1 aq a q r 2a r cos gr a q a q r a r sin...
- Q Find a Cartesian equation for the curve 2 13 Identify the curve Oline O hyperbola O ellipse O lima on O circle
- Q a 5 5 We are given the Cartesian coordinates 5 5 and must convert this point to polar coordinates Recall that to find polar coordinates r 8 we use the...
- Q Differentiate Hint Use the Extended Power Rule g x In x 9 g x
- Q Find the derivative with respect to x if f x 6x 12x 12 ex The derivative with respect to x if f x 6x 12x 12 ex is f x
- Q Approximate to the nearest 0 1 degree all angles theta in the interval 0 degree 360 degree that satisfy the equation a sin theta 0 4530 b cos theta 0...
- Q IF bao lun 848 and Couluate 1 b lon 31 A The series will absolutly converge B Notenough informaler The series will Conditionally convere 5 The serves will
- Q Find the length of the minor axis of an ellipse if the vertices are located at 5 7 and 5 3 and the foci are at 5 6 and 5...
- Q Find and sketch the level curves f x y c on the same set of coordinate axes for the given values of c We refer to these level curves as...
- Q Find the limit by rewriting the fraction first lim x y 1 1 lim x y 1 1 y x y x y x y III Type an exact answer
- Q Which of the answer choices given below is equivalent to the following trigonometric expression 3 cos x Select the correct answer below A A W 00 6 O cos 2x...
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