Calculus question and answers for January 14, 2024
- Q Parking fees Suppose that it costs 5 per minute to park at the air port with the rate dropping to 3 per minute after 9 P M Find and graph...
- Q a The graph of y f x is shown Draw the graph of y f x b The graph of y g x is shown Draw the graph of y...
- Q The graph of fis translated a whole number of units horizontally and vertically to obtain the graph of g The function fis defined by f x x Write down the...
- Q Below is the graph of y x Transform it to make it the graph of y 3 x 1 4 VN X
- Q 61 Explain why or why not Determine whether the following state ments are true and give an explanation or counterexample a The range of f x 2x 38 is all...
- Q Verify that the indicated function is a solution of the given differential equation 1 2y y 0 y e x 2 2 y 25 y y 5 tan 5x 3...
- Q 33 42 Composite functions and notation Let f x x 4 g x x and F x 1 x 3 Simplify or evaluate the following expressions 33 g 1 z...
- Q Find the moment of inertia with respect to the y axis for a flat plate covering the region bounded by y 1 x The moment of inertia is approximately Round...
- Q For a voltage V 270 sin 100 t find the root mean square voltage for one period Vrms V
- Q Use integration by parts to evaluate the integral x x 4 dx x x 4 dx
- Q TU Find the volume generated by revolving the region bounded by y sec x x 0 x and y 0 about the x ax V Type an exact answer using...
- Q Evaluate the integral 14e7x 1dx
- Q Evaluate the integral S dx 2 25 x dx fx2 0 25 x
- Q A mountain climber is about to haul up a 60 m length of hanging rope How much work will it take if the rope weighs 0 45 N m The...
- Q A force of 16 N will stretch a rubber band 8 cm 0 08 m Assuming that Hooke s law applies how far will a 4 N force stretch the...
- Q When a particle of mass m is at x 0 it is attracted toward the origin with a force whose k magnitude is If the particle starts from rest at...
- Q It takes 1100 J of work to stretch a spring from its natural length of 1 m to a length of 2 m Find the force constant of the spring...
- Q Find the first quadrant area under the curve of y The area is units Round to three decimal places as needed 3 4 In x X from x 1 to...
- Q Evaluate the integral integral 488x 3 dx 0 48e x 3 48 3x 3 dx
- Q Integrate the given function dx 7 2x dx 17 2x 0 7 2x
- Q Integrate the given function 5 5 1 X 18x 9x dx 1 x 18x 9x Tung an integer or a decimal Round to the nearest thousandth as nee dx
- Q Approximate the value of the given integral by completing parts a and b below a Use Simpson s rule using n 2 b Check by direct integration 2 S 6...
- Q After an electric power interruption the current i in a circuit is given by the equation shown below where t is the time Find the expression for the total electric...
- Q Integrate the function Sco 5 cos x sin x dx 5 cos x sin x dx
- Q Evaluate the following definite integral T 36 T 36 0 cos 6x CSC 6x cos 6x dx dx
- Q Integrate the function 13 tan xsec xdx
- Q Find the equation of the curve that passes through 3 4 if its slope is given by the following equation dy dx 3x 7 y x 0
- Q Evaluate 16 16 1 4t 1 2 1 4t 1 1 2 t dt dt Simplify your answer
- Q Evaluate the following indefinite integral 30x dx 2 3 2 30x dx
- Q Evaluate the given definite integral 2x 6 x dx 3 3 1 3 x 6 x dx 3 Type an integer or a simplified fractic
- Q Evaluate the following indefinite integral 120x dx 2 0 dx X
- Q Find the area under the curve y 5x that is between the lines x 1 and x 4 The area under the curve y 5x that is between the lines...
- Q Determine the following 12x dx 12x dx
- Q Evaluate the following indefinite integral S 8x 7 8x 7 7 X 7 7 X dx dx
- Q Find an antiderivative of the given function f t 6t 12 What is a possible antiderivative of the given function Select the correct choice belo 3 4 t 12t O...
- Q Exam Type Question Big Bang Dimensional Analysis When Sheldon s barber becomes ill he complains about his hair growing at an astonishing rate of 4 6 yoctometers ym per femtosecond...
- Q Find the length of the following curve 312 y 2x from x 0 to x 4 The length of the curve is Type an exact answer using radicals as needed
- Q Find the length of the following curve 3 2 y 2 X y from y 7 to y 9 3 3 N W 2 1 2 y The length of...
- Q The graph of the equation x2 3 y2 3 102 3 is one of a family of curves called astroids because of their starlike appearance as shown in the accompanying...
- Q y Find the length of the curve x 4 1 2 8y The length of the curve is Type an integer or a simplified fraction from y 1 to y...
- Q Find the length of the following curve If you have a grapher you may want to graph the curve to see what it looks like 32 y 27 9x 6...
- Q to see the correlation between test scores and homework The homework grade x and test grade y are given in the accompanying table Write the linear regression equation that represents...
- Q 4 3 U9 Carbon dioxide is produced by combustion of biomass and fossilized organic matter Define combustion State the products of a combustion reaction State sources of fuel for a...
- Q The sum of the interior angles of a polygon with n sides is given by the formula 180 n 2 To solve for n we set up the equation 180...
- Q I Y 2 1 5 Select Select Not a function Function O 2 3 2 1 5 7
- Q When Abdoulaye commutes to work the amount of time it takes him to arrive is normally distributed with a mean of 45 minutes and a standard deviation of 5 minutes...
- Q Find the surface area of the rectangular prism 2 in 4 in
- Q e table displays the scores of students on a recent exam Find the mean of the scores to the nearest 10th Score Number of Students 60 9 65 8 70...
- Q The box plot below represents some data set What is the range of the data T
- Q On a standardized exam the scores are normally distributed with a mean of 300 and a standard deviation of 40 Find the z score of a person who scored 400...
- Q Find the surface area of a square pyramid with side length 3 m and slant height 4 m 2 m m 3 m
- Q Kayla is organizing textbooks on her bookshelf She has an English textbook a biology textbook and a history textbook How ma different ways can she line the textbooks up on...
- Q The graph below represents data that was collected by students on the number of social media posts they made the previous day SOCIAL MEDIA POSTS Frequency Number of Students 1...
- Q Determine the amplitude of the following graph 27 5 4 3 2 1 2 3 4 5 T 27 5 37 47
- Q What is the volume in cubic centimeters of a cylinder with a height of 12 centimeters and a base radius of 6 centimeters to the nearest tenths place Answer Attempt...
- Q Which equation represents a line which is perpendicular to the line y 2 Answer 5x 4y 28 4 5 12 4x5y 25 4x 5y 30
- Q What is an equation of the line that passes through the point 4 4 and is parallel to the line 3x 4y 16
- Q ind the distance between the two points in simplest radical form k 10 9 8 7 6 5 O T O 3 2 1 10 9 8 T 7 10...
- Q Determine the equation of the circle graphed below 12 11 10 96 8 76 7 6 54321 4 12 11 10 9 8 7 6 5 4 3 2 1...
- Q raph a line that is perpendicular to the given fine Determine the slope of the given line and the one you graphed in simplest to lick and drag on the...
- Q Find the length of the third side If necessary round to the nearest tenth 7 6
- Q Write the quadratic equation in standard form 22 14 7r
- Q An element with mass 490 grams decays by 28 6 per minute How much of the element is remaining after 16 minutes to the nearest 10th of a gram
- Q Graph the inverse of the provided graph on the accompanying set of axes You must plot at least 5 points Click the graph to make a point Click it again...
- Q Evaluate the function graphically O 10 9 8 7 6 5 4 3 2 1 10 9 8 7 6 5 4 2 1 1 2 3 4 y 56...
- Q ng along a gawa the relationship between distance and time Answer Attempt 1 out of 2 The independent variable x represents the variable is the on the So C 3...
- Q f x 40 10 9 Step 1 Select a function then move with blue dot if necessary done v V 8 x 2 7 6 5 4 3 2 1...
- Q Under her cell phone plan Hawa pays a flat cost of 51 50 per month and 3 per gigabyte She wants to keep her bill at 64 10 per month...
- Q All exponential functions can be written in many forms Write the function f t 570 2 7 in the form f t ab Round all coefficients to four decimal places...
- Q Consider the partial derivatives Is there a function f which has these partial derivatives Yes If so what is it f 12x y Enter none if there is no such...
- Q Find the point on the graph of z 3x 3y2 at which vector n 12 18 1 is normal to the tangent plane P 2 3 14 A
- Q z ze Find 02 0u and 02 0e The variables are restricted to domains on which the functions are defined 02 0u 02 00 z u v u v
- Q z x y e ind dz dt using the chain rule Assume the variables are restricted to domains on which the functions are defined dz dt z 4t y 4...
- Q 1 point Suppose z x sin y z 18 3t y 2st A Use the chain rule to find and as functions of x y s and t z 8s...
- Q z x y e find az ou and az av The variables are restricted to domains on which the functions are defined z du 4 z dv x U y...
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