Calculus question and answers for July 21, 2023
- Q 27x y 0 between y 0 and y 2 Let C be the curve 27x y 0 Find the area of the surface generated by revolving C about the y...
- Q Evaluate the integrals 1 S tan3xsec xdx
- Q Find the arc length of the graph of y 1 x 1 y 5 a 8 5621 c 9 0734 b d 32 8287 10 5832
- Q Let C be the curve 27x y 0 between y 0 and y 2 Find the area of the surface generated by revolving C about the y axis Please set...
- Q Recall that the graph of a single equation in three variables is a plane in 3D space Select all possibilities for the set of all solutions to a system of...
- Q Write the first expression in terms of the second if the terminal point determined by t is in the given quadrant tan t cos t Quadrant III tan t
- Q Find the value of each of the six trigonometric functions if it is defined at the given real number t Use your answers to complete the table If an answer...
- Q 5 Consider the definite integral fx tan x dx a Explain why this integral cannot be evaluated exactly by using either u substitution or by integrating by parts b Using...
- Q Find the area under the graph of f x tan 3 2 theta over the interval form 0 pi 6 Please demostrste it with the triangle pethagores theorems showing the...
- Q ork 1 3 1 4The Derivative of 0 16 answered on 1 hat f is a function given as f x 2x 5 will compute and simplify the expression f...
- Q Find the rate of change of the volume of a cube with respect to the length of its side s when s 17 Give your answer as a whole or...
- Q 5 Determine a formula for the approximation curve using of the area under the x x 4x 4 over the interval 1 4 LN Then find the exact area by...
- Q What does the central limit theorem allow us to assume about a set of data O All the values are positive O It follows a normal distribution It does not...
- Q The range of which function is 2 00 O y 2X O y 2 5x O y 5x 2 0000 y 5x 2
- Q What does the standard deviation indicate about a set of data The difference between the highest and lowest values The average variation of the data from the mean O The...
- Q 10 Points SCALCET9 15 XP 6 009 Evaluate the triple integral iiint E 2x d V text where E left x y z mid 0 leq y leq 2 0...
- Q Reasoning and Proof list 1 2 K Identify the hypothesis and conclusion If the measure of an angle is exactly 90 Identify the hypothesis Choose the co 00 Part 2...
- Q Find the length of the arc of a circle of radius 6 inches subtended by a central angle of radians 5T 3 inches help numbers
- Q 10 5 pts Use the Squeeze Theorem to show lim x 3 sin 0 Make sure your work has specific x 0 logical steps
- Q The graph of one complete period of a cosine curve is given wo 12 3 HUS horizontal shift 12 02 2x a Find the amplitude period and horizontal shift Assume...
- Q Let f t 2t 14 and consider the two area functions A x f t dt and F x f t dt Complete parts a c 10 a Evaluate A...
- Q Consider the function f x x 9x a Graph f on the interval x 20 b For what value b 0 is ff x dx 0 c In general for...
- Q The graph of f is given in the figure to the right Let A x f t dt and evaluate A 2 A 6 A 10 and A 14
- Q Consider the function f t 3t 2 and real number a 2 ff t dt for f a Find and graph the area function A x f t dt b...
- Q The region R in the first quadrant is bounded by y 4 sin z y 4 z 2 and y 3x 1 and contains the point 2 4 The area...
- Q You want to use the tube method to find the volume of the solid obtained by rotating about the y axis t region in the zy plane bounded by the...
- Q A bucket has a mass of 10 kg when filled with sand You need lift it to the roof of a building 10 meters tall using a rope that has...
- Q A conical trough has a radius of 4 feet and a height of 9 feet It is filled with a liquid that weighs 22 pounds per cubic foot and the...
- Q Use the tube method also known as the method cylindrical shells to find the volume of the solid obtained by rotating the region bounded by y x y 0 and...
- Q Using the given graph of the function f find the follo a The numbers if any at which f has a local maximum What are these local maximum valu b...
- Q Suppose that f and g are continuous and different ALL of the following conditions are also true f x dx 3 g x For parts a e find the numerical...
- Q Cassandra lives on an island in Massachusetts and wants to know its area Cassandra measures distances across the island at one mile intervals as shown below A B C D...
- Q F being a closed surface enclosing some simply connected volume V and for a vector field B x y z 2y 3x z use the divergence theorem Satz von Gau...
- Q 1 Test the convergence divergence of the following integrals i S ii iii iv 1 log 1 x 1 L sin 0 sin 1 x dx log x dx 0...
- Q 2 T 4 x X So sin x t o t dt 1 Solve the integral equation
- Q Exereises 25 and 26 Sketch the enclosed region and use the Shell Method to calculate the volume of rotation about the X asis 25 26 x y 4 y x...
- Q A certain function f is continuous and satisfies f 3 0 The graph of f is shown below Find the following quantities f 0 f 7 Click on the graph...
- Q Given the piecewise defined h x e 2 for 3 x 0 ez 4 for 0 x 2 for all other 101 evaluate the integral Sh z dz function
- Q Find A the area of the region under the curve y 2x 2 and above the x axis for 3 x 8 Answer A
- Q exp 5t4 sin 2t cos 5t sin 11t 64 16 d
- Q Find A the area of the region under the curve y 7 3x2 and above the x axis
- Q The figure below to the left is a graph of f x and below to the right is g x 1 5 0 5 0 5 0 51 0 5...
- Q Evaluate the indefinit integral f x 6 5 3x dx
- Q b Find the volume of the solid in the first octant that is bounded by the graphs of z 1 x y 3x and y 4
- Q valuate 1 the integrals Cx et dx
- Q Let f x 7x 3 if x 8 7x b if x 8 If f x is a function which is continuous everywhere then we must hav b
- Q 7 Let p x be the sum of the first 2 non zero terms of the Taylor series for sin x centered at x 0 The maximum value of sin...
- Q Differentiate the function y 2x logg x
- Q Question 28 9 2 40 BE Part 1 of 2 permutations to solve m a cooler with 9 different kinds of soda 5 are selected for 5 people In how...
- Q 4 In x a Use l Hopital s rule to find lim x 2x In x x 2x X b Use l Hopital s rule to find lim
- Q Find f given that f x 12x 6x 4 f 0 4 and 1 1 Ma
- Q 4 Find A f 4 1 F D C f x 2 find x X 3 E Symmetric to x axis y axis or origin G Increasing B f 2...
- Q 1 Daniel had 25 to spend at the fair If the admission to the fair is 4 and the rides cost 1 50 each What is the greatest number of...
- Q Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded on the right 8 by the graph of g y and on the left...
- Q Calculate the derivative Use symbolic notation and fractions where needed d dx 7e 2x
- Q Find the horizontal asymptotes of f f t 711 3 6412 8 1 6 Let y f t and give your answer as a comma separated list of equations in...
- Q 1 The area of the region between the curves over is y e 4x 0 00 X axis is 5x A 2 The volume of the solid obtained by revolving...
- Q be a one form on w with and R 7x dx edy a smooth function such that with f x f 0 12 f 1 5 Find the line integral...
- Q The region in the xy plane nounded by the graph of y f x and the lines z a and z b is rotated around the line y 5 to...
- Q 35 The graph of is shown Evaluate each integral by inter preting it in terms of areas a ff f x dx c ff x dx e ff f x...
- Q Simplify the expression 2 4x 5r2 52 using factoring and exponential rule
- Q 11 14 Use the Midpoint Rule with the given value of n to approxi mate the integral Round the answer to four decimal places 11 fe dx n 6 12...
- Q The expression In x 4 ln 2 ln 2 can be simplified to In w where w
- Q 25 26 Express the integral as a limit of Riemann sums using right endpoints Do not evaluate the limit 25 4 x dx 26 1 dx
- Q Find the values of the six trigonometric functions of 0 If an answer is undefined enter UNDEFINED Function Value Constraint 8 lies in Quadrant III sin 0 cos 8 tan...
- Q a A rope is to be hung between two poles 40 feet apart If the rope assumes the shape of the catenary Xx y 10 e 20 e 2 20...
- Q Question 1 0 5 points Listen Determine the derivative of f x 3 sin x 9x 9 Of x 3 sin x 9 Of x 3 cos x 9 Of...
- Q 7 A table of values of an increasing function f is shown Us the table to find lower and upper estimates for f f x dx 10 X f x...
- Q decimal places What does the Riemann sum represent Illustrate with a diagram If f x x 4 0 x 3 evaluate the Riemann sum with n 6 taking the sample...
- Q 68 Find the area of the region bounded by the hyperbola 9x 4y 36 and the line x 3
- Q Find the area of the region that lies inside r 1 cos 0 and outside r 2 cos E
- Q Find the derivative by determining the limit of a slope as h approaches 0 f x 9x2 O 18x O 9x 9 O 18x
- Q Find the limit lim m f x Xx S 4 3 0 0 2 1 T 7 1 4 3 2 1 3 T 51 S 7 3 1 1...
- Q Evaluate the following limits Consider looking at the graph of the function to help you understand the situation As necessary enter oo for oo and o0 for 0 a lim...
- Q For the function x 2 x 2 which of the following statements is TRUE f x 7 1 The function has a single horizontal asymptote y 1 The function has...
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