Calculus question and answers for February 29, 2024
- Q e sinx 1 lim 4 3 2 x 0 x 2x 6x Use l H pital s Rule when it is convenient and applicable How should the given limit be...
- Q Evaluate the following limit Use T H pital s Rule when it is convenient and applicable log 8X log 6x lim X 00 lim X 00 log 8x log 6x...
- Q K Evaluate the following integral 6 9 0 1 3 log 6
- Q 3 Prove that lim 1 x 00 X 00 OD L lim x In X 00 mix OC L lim x In 1 X 8 lim ea for a 0...
- Q In Silicon Valley a number of computer firms were found to be contaminating underground water supplies with toxic chemicals stored in leaking underground containers A water quality control agency ordered...
- Q Use the graph of y f x assuming f x 0 if x b or f to answer parts A through F Q C d ww 9 h D Identify...
- Q Stan lim 7 sin x x 0 em Choose the correct answer below and if necessary fill in any answer boxes to complete your choice OA L lim 6 tan...
- Q limit methods to determine which of the two given functions grows faster or state that they have comparable growth rates 0 05x xe Use the given functions to create an...
- Q OA lim x b OC lim OC x X 00 b lim b Apply L H pital s Rule Choose the correct answer below lim lim Evaluate x 00 b...
- Q O Points 0 of 1 se limit methods to determine which of the two given functions grows faster or state that they have comparable growth rates 27 In x Inx...
- Q Use the graph of y f x assuming f x 0 if x b or f to answer parts A through F a b C d www Ay O A...
- Q Prove that lim x 00 OE Write the limit in the form L H pital s Rule can be used to evaluate the limit but it must be put in...
- Q Points 0 of 1 limit methods to determine which of the two given functions grows faster or state that they have comparable growth rates Set up the functions as an...
- Q Let R 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...
- Q Evaluate the following limit or explain why it does not exist lim 1 2x X 0 Select the correct choice below and if necessary fill in the answer box to...
- Q Use analytical methods to evaluate the following limit sin rx lim x 4 x 4 sin xx lim x 4 X 4 Simplify your answer
- Q Use analytical methods to evaluate the following limit lim x 00 lim x48 6 x 4 4x 4x Simplify your answer
- Q Use the graph of y f x assuming f x 0 if x b or f to answer parts A through F www 9 h Q Q A Identify intervals...
- Q Evaluate the following limit lim 1 ax for positive constants a and b x 0 b lim 1 ax x 0 Type an exact answer
- Q A boat is towed toward a dock by a cable attached to a winch that stands 10 ft above the water level see figure Let 8 be the angle of...
- Q Find the intervals on which the graph of f is concave upward the intervals on which the graph of f is concave downward and the inflection points f x In...
- Q How can it be shown that f x and g x have comparable growth rates f x g x Show that lim 848 OB Show that lim 818 O C...
- Q K Evaluate the following integral Sx 6 x 6x x
- Q Consider f x 2 x 1 sin a Graph f with a graphing utility b Compute and graph f c Verify that the zeros of f correspond to points at...
- Q Identify the relationship between Za and Zb Show your work here a O Corresponding angles O Alternate exterior angles Same side exterior angles b O Alternate interior angles O Same...
- Q R be the region bounded by the following curves Use the method of your choice to find the volume of the solid erated when R is revolved about the y...
- Q The function V t 3500t 18000 where Vis value and t is time in years can be used to find the value of a large copy machine during the first...
- Q K ctly toward a 150 m skyscraper that stands on the edge of a harbor The angular size of the building is the angle formed by lines from the top...
- Q An 8 ft tall fence runs parallel to the wall of a house at a distance of 6 ft Find the length of the shortest ladder that extends from the...
- Q Evaluate the following integral 2 81z 25 dz 2 1 dz dz 81z 25
- Q Let R be the region 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...
- Q OA K Use a right triangle to write the following expression as an algebraic expression Assume that x is positive and that the given inverse trigonometric function is defined for...
- Q Given the following information evaluate the other five functions 5 sec 8 and 0 8 3 cos 8
- Q 7 A trough has a trapezoidal cross section with a height of 7 m and horizontal sides of width 2 m and 7 m Assume the length of the trough...
- Q ne Z 43 W
- Q Find the value of a Show your work here a 97 4a 7
- Q Angles Q and P are a linear pair Angle Q is 49 What is the value of angle P Show your work here
- Q If Zx and 4k are supplementary and 4k 142 solve for x Write your answer in degrees k
- Q Which pair of angles is a linear pair 8 Show your work here B and and G 6 Fland C 4 2 8 6 4 B 2G 4 6 8...
- Q Solve for the unknown angle in degrees 8421 and 8431 84318618 find are complementary angles If 8431
- Q Given the following intersecting lines how can angles 4 and 6 be classified Show your work here Vertical Angles Adjacent Angles None of the above 1 6 5 2 3...
- Q K The figure to the right shows the shape and dimension of a small dam Assuming the water level is at the top of the dam and that the shape...
- Q Solve for y Y 52
- Q Find the area of the figure The figure is not drawn to scale 14 in 6 in 16 in 7 in
- Q The point H is the midpoint of GI Find the length of GI G 2x 7 H 3x 12 I
- Q Multiply the two polynomials x 2x 3 x 2x x 4 What is the resulting expression work here
- Q Find the length of AC A 9 B
- Q 5 12 pts How many years will it take for an initial investment of 20 000 to grow to 50 000 a Assume an annual interest rate of 4 3...
- Q 3 6 pts Solve the equation Give exact and approximate solutions In x 4 In 2x 5
- Q Find the product and simplify 8 2a 184 2a814 1 Show your work here Hint To add an exponent a type exponent or press A
- Q 847m8110m123m 81 6m 18115m781818 16m6 m5 7m Show your work here Hint To add an exponent r type exponent or press A
- Q Simplify the following expression 8 9a1810 81 819a1483 31 Show your work here Hint To add an exponent a type exponent or press A
- Q 4 6 pts The population of a city is described by the function P t 40 600 1 021 where t is the number of years after 2010 In what...
- Q 2 6 pts Solve the equation log 5 x log 2 x 2
- Q A fence is to be built to enclose a rectangular area of 450 square feet The fence along three sides is to be made of material that costs 3 per...
- Q A car rental agency rents 200 cars per day at a rate of 30 per day For each 1 increase in rate 5 fewer cars are rented At what rate...
- Q A commercial cherry grower estimates from past records that if 23 trees are planted per acre then each tree will yield an average of 37 pounds of cherries per season...
- Q An outboard motor has an initial price of 1 440 A service contract costs 350 for the first year and increases 100 per year thereafter The total cost of the...
- Q L 0 We wish to find the length of the shortest ladder that will reach from the ground over the fence to the wall of the building 15 5 sin...
- Q Let F x y f x y g x y be defined on R Find and graph the streamlines for the vector field F y 5 Oy 10x C Oy...
- Q Let F x y f x y g x y be defined on R Find and graph the streamlines for the vector field F 4 x What is the equation...
- Q Find the gradient field F Vop of the potential function p x y z x y 2z 1 2
- Q State two other forms for the line integral J F T ds given that F f g h SF T OA Srdx gdy hdz and f F r t dr...
- Q 20 5 kg mass moves along an x axis Its acceleration as a function of its position is shown in the figure a m s 20 15 10 5 1...
- Q 1 In this question we will use a spreadsheet to approximate the value y 1 The picture below shows a spreadsheet being usec to implement a linear approximation scheme ie...
- Q Calculate the Reynolds number for human blood flowing through a 2mm radius vessel at average velocity of 0 2 m s Charactize the flow i e turbulent laminar or transitional
- Q A publishing company sells 625 000 copies of certain books each year It costs the company 1 to store each book a year Each time it must print additional copies...
- Q et g x 3 1 5x and f x 3 1 5 Explore the rates of change constant average for th near function g and the exponential function f a...
- Q When a plant or animal dies it stops acquiring carbon 14 from the atmosphere The amount y in grams of carbon 14 in the body of an organism after t...
- Q A manufacturer of hospital supplies has a uniform annual demand for 500 000 boxes of bandages It costs 10 to one box of bandages for one year and 160 to...
- Q Determine the domain of each of the following functions Report the solution in interval form Also identify the equation s of the vertical asymptote s of each function f z...
- Q Starting with a 160 foot long stone wall a farmer would like to construct a rectangular enclosure by adding 960 feet of fencing as shown in the figure to the...
- Q Let R be the region 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...
- Q Find the absolute maximum and minimum values of the function over the indicated interval and indicate the x values at which they occur f x 9x 1 A 0 4...
- Q Find the number of terms for this polynomial 8 18x840x 18 161
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