Calculus question and answers for December 21, 2023
- Q The graph of x 9y 5 0 crosses the y axis at y
- Q 4 1 Find an expression for V v in terms of v 4 2 Find an expression for V 2 v 2 in terms of V 4 3 Use the...
- Q Find an orthonormal basis for the solution space of the homogeneous system of linear equations x y z w 0 2x y z 2w 0 1 12
- Q Suppose we declare the following 4 byte int int x 1122334455 and store this in memory location 0x100 on a little endian system What values would be stored in the...
- Q 14 4 Evaluate the integral S x y z dz dy dx SS 0 0 0 SS S x y z dz dy dx 000 Type an integer or a...
- Q Describe the given region in polar coordinates such that 0 r and 0 0 2 The lower portion of the region is 0 rs The upper portion of the region...
- Q 2 Find the area of the region cut from the first quadrant by the curve r 2 2 sin 20 A 0 Typo an oxnot
- Q JU 2 the region of integration and convert the polar integral to a Cartesian integral or sum of integrals Do not evaluate the integral 00 sin 0 cos 0 dr...
- Q Calculate the work in Joules to empty a tank full of water through the top knowing the shape and position of the tank cylinder of radius 5 m positioned horizontally...
- Q etch the region of integration and convert the polar integral to a Cartesian integral or sum of integrals Do not evaluate the integral K21 SS 00 sin 0 cos 0...
- Q Find the volume of the region common to the interiors of the cylinders x y 9 and x z 9 one eighth of which is shown in the accompanying figure...
- Q If the terminal side of angle A goes through the point 25 V5 on the unit circle then what is cos A Provide your answer below
- Q If the terminal side of angle 0 goes through the point Provide your answer below 5 5 2 5 5 on the unit circle then what is cos 0
- Q Consider the following polynomial function Step 2 of 2 Sketch the graph by identifying where the graph is positive and where the graph is negative Answer r x x 2x...
- Q Find an angle A that is coterminal with an angle in radians measuring where 0 A 2 Give your answer as a exact answer involving if necessary Jour
- Q For the given differential equation y 0 0 5 initial condition and y 0 4 value is desired to be calculated by Heun s method Which of the following is...
- Q If the terminal side of angle 0 passes through a point on the unit circle in the first quadrant where x 0 what is the exac measure of 0 Provide...
- Q interpolation coefficients required to calculate the derivative at 0 7 X 0 1 0 4 0 7 1 1 3 1 6 1 9 2 2 f x Sy 1...
- Q 54 h 011 for 45 05 30 0 5 I 45 joto ye x 125 dy dx 30 H and H Solve by Simpson 1 3 rule
- Q Find the average distance from a point P x y in the disk x y 25 to the origin The average distance is Simplify your answer
- Q Evaluate the integral 2t S S e dx dt dv In sec v 3 In sec v 2t ITI D Se ex dx dt dv 8 00 0 0 Type...
- Q Evaluate the integral 81 x 81 x 0 0 0 9 81 x 81 x 0 0 dz dy dx 0 dz dy dx
- Q Evaluate the following integral 4 5 5x 5 5x y I T 0 0 0 4 5 5x 5 5x y SS C dz dy dx dz dy dx Simplify...
- Q 244 2 Evaluate the integral x y 2 dz dy dx S S S 000 2 4 4 S S S x y z dz dy dx 0 0 0
- Q Describe the given region in polar coordinates such that 0srand 0 0 2 0s srs 0 Type exact answers using T S Poded 10 10 10 10
- Q A woman is walking along a sidewalk cleaning up litter and once her bag is full she walks back to where she started On the way out while gathering litter...
- Q 54 8 928 2 5 669 6 Question 17 Five Steel Parts weigh 2 5 lbs How many of these parts are in a box weigh lbs 69 84 68...
- Q 8 points Find a polynomial function h x of least degree 3 having only real coefficients and zeros as given Assume multiplicity 1 and leading coefficient 1 Don t leave...
- Q Now TT 3 2 0 sin 2017 2 sin sin 1 4 After simplifying we have SEP 2 10 dt 2 T
- Q We have 1201031 23 1 1 cos 20 de sin 4
- Q Using t sec 0 we get 2 1 1 2 P 1 J 4 This can be further simplified to T 3 J 4 or simply T 3 A J...
- Q Part 5 of Since we have an even power of cos x to evaluate cos 0 Submit Skip you cannot come back cos 3 cos2 e de we must now...
- Q 1 Determine the corresponding squared conversion statements for each conversion a 1760 yards 1 mile b 5280 feet 1 mile c 1 yard 0 9144 m c 2 Determine the...
- Q Since SEP 1 With this we get dt dt contains the expression t2 1 we will make the substitution t sec 8 de
- Q 1 point Consider the function x X f x X Find the vertical asymptote s If there is more than one vertical asymptote give a list of the x values...
- Q Write out the form of the partial fraction expansion of the function Do not determine the numerical values of the coefficien 2x a x 2 3x 1 b X x3...
- Q 1 point f x 7x 21x 21x 8x 2x 4 x 3x 6x 8x 2 What is the equation of the horizontal asympotote y Does the graph of f x...
- Q Evaluate the integral 1 t sin 4t dt C
- Q Evaluate the integral 14 4xe 3x dx X C
- Q dz Consider the equation 4 sin x y 5 sin x z 5 sin y z 0 Find the values of and ox dz Ox 2x 21 2x Simplify your...
- Q Evaluate the integral using integration by parts with the indicated choices of u and dv 1 2x In xdx u ln x dv 2x dx C
- Q Find the values of and at the given point dy 2z 5xy 5yz 3y 19 0 2 1 2 2 1 2 Type an integer or a simplified fraction
- Q dw For the given functions a express as a function of t both by using the Chain Rule and by expressing w in terms of t and differentiating directly with...
- Q For the given functions a express dw dt w z sin xy x 2t y ln t 4 z e 5 t 5 Then b evaluate dw as a function...
- Q For the function f x y af 9 D1 7 2 x 6y of find and dy
- Q Factor out a factor with a negative coefficient 4y 4 12y 3 20y 24
- Q The given central difference table is generated from a polynomial Which of the following is true about this polynomial X 0 0 2 0 4 0 6 0 8 1...
- Q 3 Solve by completing the square x 6x 77 0 4 Solve the following
- Q 20 UN Security Council never votes to use military power against another memb True or False Reading UN Funds Programs and Specialized Agencies False
- Q 4 Use the following information to calculate MST x 8 86 X 7 96 s 4 24 s 3 86 s 3 5 6 Round your answer to the nearest...
- Q Determine the convergence or divergence of the series using any appropriate test from this chapter Identify the test use 00 cos n 20 n 1 converges by the Direct Comparison...
- Q 00 n 0 a n converges if lim 7 8 True O False 2 Click here to view the transcript 1 n 1 an
- Q Use the Ratio Test to determine the convergence or divergence of the series If the Ratio Test is inconclusive determine the convergence or divergence of the series using other methods...
- Q Find the limit Let m and n represent arbitrary real numbers x m 2 x nx lim X 00 m n 2 mx
- Q Find the limit T 1 lim X 9 e 9 8e
- Q Use the function below to answer parts a and b 19 f x 4x 2 5x on 2 2 a Find the critical points of the function on the given...
- Q Find the intervals on which f is increasing and decreasing Superimpose the graphs of f and f to verify your work f x x 4x Select the correct choice below...
- Q Find positive numbers x and y satisfying the equation xy 25 such that the sum 5x y is as small as possib Let S be the given sum What is...
- Q Sketch a graph of a function f that is continuous on 00 00 and has the following properties f x 0 and f x 0 on 5 f x 0...
- Q A long jumper leaves the ground at an angle of 22 above the horizontal at a speed of 11 m s The height of the jumper can be modeled by...
- Q QUESTION 13 got your water for your tea boiling to 212 F You prefer to drink your tea at a temperature of 100 F If you set it aside in...
- Q Evaluate w xz dV where W is the domain bounded by the elliptic cylinder the first octant W Use symbolic notation and fractions where needed C xz dV II and...
- Q If log x log x 6 3 then O x 3 only x 9 only Ox 9 or x 3 O x 16 5 only
- Q One way to model exponential growth and decay is with percentages Doing so we can use the following equation where a is the starting value r and its sign is...
- Q Rewrite the following as one logarithm where the coefficient is 1 1 In x 4 4ln x In 16x 2
- Q Expand the following logarithm as much as possible log x y
- Q A scientist begins with 250 grams of a radioactive substance After 340 minutes the sample has decayed to 32 grams a Rounding to five decimal places write an exponential equation...
- Q 4 2 X 2 2 X y f x 6 8 a On what interval s is f increasing Enter your answer in interval notation x On what interval s...
- Q Write the equation log 216 x in exponential form
- Q A certain biological compund is known to have exponential growth The initial measurement show there is 3 grams of the compound One day later there is 3 7 grams of...
- Q Tutorial Exercise Find the limit Use l Hospital s Rule where appropriate If there is a more elementary method consider using it lim X 0 cos x 1 x 4x4
- Q 5 4 3 2 1 12 3 4 5 6 x a Find the interval s on which f is increasing Enter your answer using interval notation b Find the...
- Q Solve each of the following a e 5 7 b 22x 1 32 1 2 d 7x 2 410 c 4
- Q For each of the following state the aysmptote Be sure to state it as the equation of a line a y 2 2 b y in x 2 C y...
- Q Approximate the following logarithms given log 2 0 3562 log 3 0 5646 a log 60 b log 106 c log 1 d 10 b 100 11 log 5 0...
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