Calculus question and answers for December 30, 2023
- Q Part 5 of 6 We now have In 1 ul 11 2 2 2t C 2 2t C This can be re written as 11 u e 2 2t C...
- Q Part 3 of 6 Integrating the left hand side and ignoring the constant of integration gives us remember to use In lvl where appropriate In 1 u In Ju 1...
- Q Seperating the expression in u from the expression in t we get 1 u 1 Part 3 of 6 1 1 u du 2 t dt Integrating the left hand...
- Q du To separate 2 2u t tu factor the right hand side to get dt Part 2 of 6 Seperating the expression in u from the expression in t we...
- Q If cost is represented by C x 2 8x 100 000 and revenues are represented by R x 5 3x which equation could be used to find the break even...
- Q 1 of 6 dt separate du 2 2u t tu factor the right hand side to get dt du dt 2 t
- Q Finding the Equation of a Sphere In Exercises 37 38 39 40 41 and 42 find the standard equation of the sphere with the given characteristics 37 Center 7 1...
- Q Part 6 of 6 11 x 88 c Bas e 88
- Q 45 9x 9y 2 9z 6x 18y 1 0 Answer X W 2 3 y 1 z 1 3 3 1 0 Center Radius 1
- Q Plotting Points In Exercises 5 6 7 and 8 plot the points in the same three dimensional coordinate system 5 a 2 1 3 b 1 2 1
- Q Finding the Midpoint In Exercises 33 34 35 and 36 find the coordinates of the midpoint of the line segment joining the points 33 4 0 6 8 8 20...
- Q Of the following which is most likely to improve employee motivation and satisfaction Allowing employees to set their own schedules Providing additional job training Upgrading the physical workplace with new...
- Q Hinding the Distance Between Two Points in Space In Exercises 25 26 27 and 28 find the distance between the points 25 4 1 5 8 2 6 Answer 3...
- Q 75 Resultant Force Forces with magnitudes of 500 pounds and 200 pounds act on a machine part at angles of 30 and 45 respectively with the x axis see figure...
- Q Since x 88 is always positive we can use various rules for operating with logarithms to write In x in x Inlyl In 88 C 88 In
- Q On the right hand side we have X 12 x2 88 dx This can be done by using the substitution u and du dx
- Q Using the substitution u x2 88 and again ignoring the constant of integration gives us du
- Q We now integrate each side of the differential equation Ignoring the constant of integration we can integrate the left hand side of the equation to obtain integral 10 dy
- Q Writing y dy then we have to solve x 88 dx xy dx Our strategy is to separate the variables so that all x terms are on one side of...
- Q Solve the differential equation 2 x 7 y xy
- Q Question 9 R duis l expression ci dessous l aide de la notation exponentielle sans d exposants n gatifs 27 5 C
- Q 8 pts 5 For the functions below sketch the graph of the function labeling the axes Use the graph to determine whether f x has an inverse that is also...
- Q A restaurant sells slices for 2 and calzones for 3 On Monday a total of 54 slices and calzones were sold and the cashier collected a total of 120 from...
- Q A rickshaw company counted 39 ticket receipts last week The price for a weekday ticket is 7 and the price for a weekend ticket is 9 50 The rickshaw driver...
- Q A tire shop counted 80 invoices at the end of the month They charge 325 for a set of new tires and 50 for a set of used tires The...
- Q A company sells widgets The company s fixed and variable costs are modeled by the function C x 0 74x 25000 Their revenue is modeled by the function R x...
- Q The costs of a company are represented by the function C x 0 22x 1 750 Its revenues are represented by function R x 4 1x Find the function that...
- Q A concert manager counted 33 ticket receipts the day after a concert The price for an adult ticket was 14 and the price fo a student ticket was 9 50...
- Q Find the general solution of the following system of equations Select the correct answer below x 7 O x 7 O x 4x 7 O x 4x 11 O x...
- Q solution to the following system of equations by graphing 2x y x y Drag the movable points to graph each of the linear equations The plot automatically calculates and shows...
- Q The range of h x X 2x 1 1 3 x 21 O A 0 1 B 0 3 C 3 00 D All real numbers D E 0 3...
- Q Find the solution to the following system of equations by graphing 3x y x y Drag the movable points to graph each of the linear equations The plot automatically calculates...
- Q onsider the following y x y 20 x 10 5 25 20 15 10 10 5 10 X 15 20 a Find the area of the region by integrating with...
- Q SSF n do of F 2 xj 4zk in the outward S direction normal away from the x axis across the surface cut from the parabolic cylinder z 1 y...
- Q The graph of a function is given Graph the inverse function 7 6 5 44 3 2 6 5 4 3 2 1 2 3 S 4 6
- Q 3 Use the data below for the temperature in degrees Celsius for a wood fire oven App Time in Minutes 058 10 13 15 19 21 25 290 285 285...
- Q Use a parameterization to find the flux The flux is SSF ndoo F n do of F z i xj 2zk in the outward direction normal away from the x...
- Q Integrate the given function over the given surface 3 G x y z z over the parabolic cylinder y z 0 x 3 0szs 2 Integrate the function G x...
- Q 100727 MANUE G x y z dg PHILADE PERUMS S 2009 40 Integrate G x y z z over the parabolic cylinder y z 0 x 2 0 zs Write...
- Q 1 2 SSG x y 2 do 2 1 42 S S dzdx S 00 Evaluate the integral found in the previous step SJ G x y z do S
- Q Questions 19 20 refer to the following information Fine in dollars 180 170 160 150 140 130 120 110 100 30 40 Speeding Ticket Fines 50 60 70 80 90...
- Q Suppose that fis a one to one function and f is its inverse Suppose also that h x 4 and g x x2 xsecx Then which of the following do...
- Q If f x x2 on the domain 2 2 then f OA has domain 4 4 OB equals C doesn t exist D has range 2 2 hos doma
- Q Suppose P x and the F x hog x Then which of the following are possible definitions for hand g I h x x g II h x x g...
- Q Which of the following functions described does not have an inverse A None of these they all have inverses B Vm the volume of m kilograms of sand OC K...
- Q If his the function given by h x f g x where f x and g x then h x O A a restricted to the domain x 0 OB...
- Q Suppose the following about a certain object 1 The object s altitude is a function of time represented by the function A x where here x is time II The...
- Q 1 sin x on the domain the domain of g is If g x OA O B 4 4 C all real numbers OD 1 1 O E 0 1
- Q Consider the following graph Q The function in the graph is a solution of one of the following differential equations A y 1 xy B y 2xy O 0 C...
- Q Suppose f x then o o x XOA OB X O C 1 0 O D OE 2
- Q Use the given transformation to evaluate the integral J R 12x 12y da where R is the parallelogram with vertices 2 4 2 4 4 2 and 0 6 x...
- Q 1 Determine the approximate radian measure 252 2 Determine the approximate degree measure to the nearest tenth 4 78 3 Draw both special triangles using radian measures
- Q 3 Draw both special triangles using radian measures
- Q Consider the following graph 4 The function in the graph is a solution of one of the following differential equations A y 1 xy B y 2xy C y 1...
- Q The figure below shows a pendulum with length L that makes a maximum angle 00 with the vertical Using Newton s second law it can be shown that the period...
- Q 1 Determine the approximate radian measure 252
- Q Find the exact length of the curve v 2x 2 0 x 1 3 2 2 1 y X Enhanced Feedback Please try again Remember that the arc length formula...
- Q Tutorial Exercise Find the Maclaurin series for f x using the definition a Maclaurin series Assume that f has a power series expansion Do not show that R x 0...
- Q Write the given function as a power series 2 C 1 7 Evaluate the indefinite integral as an infinite series cos x 1 dx cos x 1 1 c
- Q Halo blight is a highly contagious fungus that can spread in some farm crops Five hours after the blight was found 0 46 acres of the field is infected 12...
- Q 2 Use Stoke s Theorem to evaluate SF d C F x y x 3zsin x x e y cos z S z 1x y z 0 Z
- Q If f x b x 3 for all x write a formula for b n 0 O b O b O b Ob 7 Ob F 7 3 f 3...
- Q b Are these underestimates or overestimates of I L is an underestimate OL is an overestimate OR is an underestimate OR is an overestimate M is an underestimate OM is...
- Q What area of the brain is responsible for precisely starting stopping or coordinating movements O brain stem motor areas O precommand areas O motor cortex of the cerebrum spinal level...
- Q Problem Design the optimal conical container having a cover which hold 0 2m of oil a Find the dimensions r and h of the can that will minimize the cost...
- Q The adjacent table gives the number of worldwide Internet users in millions Complete parts a through b Year 1995 1996 1997 1998 1999 2000 2001 Users millions 11 39 77...
- Q 4 Evaluate the following 100 4 2 0 2 i 3 i a b 8 2i 3 21 5 2
- Q Use a parameterization to find the flux The flux is SSF n da of F z i xj 22k in the outward direction normal away from the x axis across...
- Q Integrate the given function over the given surface G x y z y over the sphere x y 4 Integrate the function SS x y z do S Type an...
- Q Using Lagrange multipliers find the min and max distance from the point P 0 1 0 to the ellipsoid 2x y z 6 and also find where the min max...
- Q 83 Navigation A plane is flying with a bearing of 302 Its speed with respect to the air is 900 kilometers per hour The wind at the plane s altitude...
- Q Finding a Unit Vector In Exercises 35 36 37 and 38 find the unit vector in the direction of v an verify that it has length 1 35 v 3...
- Q Finding a Terminal Point In Exercises 17 and 18 the vector v and its initial point are given Find the terminal point 17 v 1 3 Initial point 4 2...
- Q a Sketch the given directed line segment b Write the vector in component form c Write the vector as the linear combination of the standard unit vectors i and j...
- Q Finding Magnitudes In Exercises 39 40 41 and 42 find the following a u b v c u v d e IMI u v u v 39 u 1 1...
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