Calculus question and answers for February 25, 2024
- Q A swimming pool has the shape of a box with a base that measures 26 m by 19 m and a uniform depth of 2 9 m How much work...
- Q Find the sum of the infinite geometric series if possible Round your answer to three decimal places 7 0 55 STEP 1 Determine the first term of the infinite geometric...
- Q How much work is required to move an object from x 1 to x 6 measured in meters in the presence of a force in N given by F x...
- Q Use summation notation to write the sum 1 9 3 1 27 6 X
- Q Let R be the region bounded by the following curves Use the shell method to find the volume of the solid generated when R is revolved about the y axis...
- Q A deposit of 100 is made at the beginning of each month in an account that pays 2 interest compounded monthly The balance A in the account at the end...
- Q shembull 4 A 2 3 B 4 Y Y X2 7 2 x7 M 2 4 5 7 X S x z zh Yz 2 7 N
- Q Find the rational number representation of the repeating decimal 0 945
- Q Determine whether the sequence associated with the series is arithmetic or geometric n 2 2 n 0 arithmetic O geometric Find the common difference or ratio Find the sum of...
- Q Find the sequence of the first five partial sums S S S3 S4 and Ss of the geometric sequence by adding terms 8 12 18 27 81 2 S S...
- Q Find a formula for the nth term of the geometric sequence Then find the indicated nth term of the geometric sequence 7th term 2 14 98 an
- Q Find the rational number representation of the repeating decimal 0 945
- Q Write the first five terms of the geometric sequence Find the common ratior and write the nth term of the sequence as a function of n 16 1 31 a...
- Q A 60 m long chain hangs vertically from a cylinder attached to a winch Assume there is no friction in the system and that the chain has a density of...
- Q Determine whether or not the sequence is geometric If it is find the common ratio r If an answer does not exist enter DNE 11 26 41 56 O Yes...
- Q Suppose 15000 is invested at 8 interest compounded continuously How long will it take for the investment to grow to 30000 Use the model A t Pert and round your...
- Q Find the mass of the thin bar with the given density function p x x x 14 x 2 for 0 x 3 The mass of the thin bar is...
- Q The gravity on the moon is known to be constant at approximately 1 62 m s Suppose while on the moon a rock is thrown such that after 1 second...
- Q How much work is required to move an object from x 1 to x 6 measured in meters in the presence of a force in N given by F x...
- Q A spring on a horizontal surface can be stretched and held 0 5 m from its equilibrium position with a force of 65 N a How much work is done...
- Q Use a change of variables or the table to evaluate the following indefinite integral 8 Sx x 1 d dx Click the icon to view the table of general integration...
- Q 11 Consider a cylindrical tank that has a height of 11 m and a radius of 4 m Recall that if the tank is full of water then S 16mpg...
- Q Find the mass of the thin bar with the given density function p x 4 if 0 x 3 4 x if 3 x 5 m units Simplify your answer...
- Q Why must integration be used to find the work required to pump water out of a tank OA Integration is necessary because the acceleration of gravity changes at each level...
- Q Find the mass of the thin bar with the given density function 3x 4 p x 1 sin x for 0 x Set up the integral that gives the mass...
- Q much work is required to move an object from x 2 to x 7 measured in meters with a constant force of 7 N acting along the x axis If...
- Q What is the pressure on a horizontal surface with an area of 3 m that is 3 m underwater Use 1000 kg m for the density of water and 9...
- Q 35 Bike Tykes is a company that makes bikes for children The company s weekly marginal profit function is given by P x 30x 0 3x 250 dollars per bike...
- Q A sample of argon gas has a volume of 745 mL at a pres sure of 1 30 atm and a temperature of 132 C What is the final volume...
- Q llowing calculate the new temperature in degrees when pressure is changed with n and V constant A tank of helium gas with a pressure of 240 torr at 0 C...
- Q Sketch the following polar rectangle R 1 0 15r54 50s 1 rs4 Choose the correct graph below QA I 3 FO 61 Q B 61 6 X ww O G...
- Q Solve the exponential equation by taking the logarithm of both sides You will need to use a scientific calculator for this problem 5 127 Your answer must be correct to...
- Q Find the volume of the solid bounded by the surface z f x y and the xy plane Z 52 1 x2 2 y 2 V Type an exact answer...
- Q Evaluate the iterated integral rcsc 0 dr d0 JJres R 3 0 rcsc 0 dr d0 Simplify your answer
- Q Draw the solid region whose volume is given by the following double integral Then find the volume of the solid I 01 A 9 dydx V 3 Find the volume...
- Q Evaluate the following integral x 4 1 x 2 TIT 000 x 4 1 2 ST 000 sin xx sin y sin 4z dy dx dz sin xx sin y...
- Q Sketch the following region and write an iterated integral of a continuous function f over the region R x y 0 x 2 3x sys 6x 2 x 24 OA...
- Q Use a triple integral to find the volume of the solid bounded below by the cone 2 z x y and bounded above by the sphere x y z 288...
- Q Evaluate the iterated integral J J rcsc0 dr d0 0 2 4
- Q Evaluate the following integral 2 00 0 sin x os y sin z dy dx dz 1 x 2 IT 00 0 Type an exact answer using as needed sin...
- Q Evaluate the following integral as it is written 2x 3 sipx S jx x 4 cos x 2x 3 sip x dy dx dy dx
- Q scuba diver 60 ft below the ocean surface inhales 90 0 mL of ompressed air from a scuba tank at an initial pressure of 3 50 tm and temperature of...
- Q Use graphical approximation methods to find the point s of intersection of f x and g x f x In x g x 7x The point s of intersection of...
- Q Use a graphing utility to find the point s of intersection of f x and g x to two decimal places Note that there are three points of intersection and...
- Q It x and find the equation of the line tangent to the graph of f at the indicated value of x Find the value s of x where the tangent...
- Q 4 Determine whether the following statements are true and give an explanation or counterexample a When using the shell method the axis of the cylindrical shells is parallel to the...
- Q Use the price demand equation below to find E p the elasticity of demand x f p 7200 4p
- Q OA S OB TO Model the situation on a set of axes by placing the center of the base of the cone at the origin and the cone s axis...
- Q Use both the washer method and the shell method to find the volume of the solid that is generated when the region in the first quadrant bounded by y x...
- Q a circle of radius 1 centered at 7 0 is revolved about the y axis a Use the shell method to write an integral for the volume of the torus...
- Q mine whether the following statements are true and give an explanation or counterexample a When using the shell method the axis of the cylindrical shells is parallel to the axis...
- Q the line y 5 SOA S 0 OB 0 Set up the integral that gives the volume of the solid as a single integral if possible using the disk washer...
- Q be the region bounded by the following curves Let S be the solid generated when R is revolved about the given axis If possible find the volume of S by...
- Q regio bounded by y x x 1 and y 0 Use the shell method to find the volume of the solid generated when R is revolved about the line y...
- Q Let R be the region bounded by the following curves Use the shell method to find the volume of the solid generated when R is revolved about the x axis...
- Q the region bounded by the following curves Use the shell method to find the volume of the solid generated when R is revolved about the y axis y 13 x...
- Q the A swimming club can currently accommodate up to 100 members for a year long training program They plan to increase their pool capacity to accommodate up to an additional...
- Q Estimate the area under the graph of f x over the interval 1 4 using ten approximating rectangles and right endpoints as sample points Rn Ln Repeat the approximation using...
- Q Let R be the region bounded by the following curves Use the shell method to find the volume of the solid generated when R is revolved about the y axis...
- Q the x axis y x y 0 and x 4 OA dx OB JO by the following curves Use the shell method to find the volume of the solid generated...
- Q Points 0 of 1 Select the correct choices that complete the sentence below A region R is revolved about the y axis The volume of the resulting solid could in...
- Q Identify the integral Choose the correct answer below OA 2 f O C b 2n f x OD a b OB 2 g x f x dx a nethod that...
- Q Consider a triangle ABC like the one below Suppose that c 61 a 74 and C 38 The figure is not drawn to scale Solve the triangle Carry your intermediate...
- Q A company determined that the marginal cost C x of producing the xth unit of a product is given by C x x 2x Find the total cost function C...
- Q Remember that rectangular form is z a bi and that polar form is z r cos0 i sin 0 Take following number in polar form and convert it to rectangular...
- Q Calculate 4 62 Give your answer in a bi form
- Q An oil tanker aground on a reef is forming a circular oil slick about 0 2 foot thick To in cubic feet per minute at which the oil is leaking...
- Q The price p in dollars and demand x for wireless headphones are related by x 8 000 0 15p The current price of 95 is decreasing at a rate 5...
- Q A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month is given by C 0 4x 9 000 How fast is the cost...
- Q A retail store estimates that weekly sales s and weekly advertising costs x both in dollars are related by 40 000 20 000 0 00025x The current weekly advertising costs...
- Q A 13 foot ladder is placed against a vertical wall Suppose the bottom of the ladder slides away from the wall at a constant rate of 2 feet per second...
- Q The radius of a spherical balloon is increasing at the rate of 0 7 cm minute How fast is the volume changing when the radius is 7 4 cm The...
- Q A boat is being pulled toward a dock as shown in the figure to the right If the rope is being pulled in at the rate of 4 feet per...
- Q A box with an open top has a square base and four sides of equal height The volume of the box is 200 ft The height is 3 ft greater...
- Q DEV f x x 1 x 2 olsun f fonksiyonunun kritik noktalar n
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