Calculus question and answers for December 18, 2023
- Q find the derivative of the function 9 5x 8 7x 1 The derivative is y S CA 29 StXV is y los Jesen hibao wolker
- Q 21 use the properties of limits to find the indicated limit lim x 7x 3 X 8 x 3x 4 option A O B 3 Trokre of Gay Tub
- Q Sketch the region enclosed by y 4x and y 5x Find the area of the region
- Q 30 use a calculator to estimate the limit mique 5X on word not lim X 0 option A 0 0 0 2015 02 ond B D Does not exist and...
- Q Evaluate the integral 7 zett utett dt
- Q 5 find the equation of the tangent line to the stroph offCX at the given point x 10x 5 at 2 5 equation of the tangent line to the graph...
- Q 23 find the followi llowing F u iF F X 7 x X option A t B 17 16 GEM B new a D H B 7
- Q the given limit 22 use the properties of limits to find nove lim kino 7x 7x 3 type an integer or a simplified fraction 23 8x5
- Q Let f x 1 x 3 if x 2 3x 9 if x 2 Calculate the following limits Enter DNE if the limit does not exist lim f x 4...
- Q Solve 6 3 3 Enter an exact answer or round your answer to the nearest tenth Do not include x in your answe
- Q Buse algebra and the properties of limits as needed to find the given limit If the limit does not exist Say so lim X 9 X 7X 18 X 9...
- Q 1 Assume x and y are function of t Evaluate dyldt xy x 12 dx 3 x 2 y 5 tb ophon A g B3 C 3 di 9
- Q The graph below is the function f x 5 4 3 2 1 5 2 2 3 Find lim f x x 1 Find f 1 Find lim f x...
- Q 4x lim x 5 x 5 lim x 5 4x x 5 4x lim x 5 x 5 11
- Q The graph of g is given below Notice this is the graph of the derivative of g not the graph of g itself Answer the following questions about the graph...
- Q A function f x is said to have a removable discontinuity at x a if 1 f is either not defined or not continuous at x a 2 f a...
- Q Find the center and the radius of the sphere y z 2x 3z 0 The center of the sphere is Simplify your answers The radius of the sphere is Tyne...
- Q Use algebra and the properties of limits as needed to find the given limit If the limit does not exist say so lim 8x 3 Select the correct choice below...
- Q Which logarithm is equal to x log 4 Select the correct answer below O log 4 x O log x O log 4 O log 4 x O log O...
- Q Evaluate the definite integral 1 5x 4x 7 dx 0 1 5x 4x 0 5x 4x 7 dx Simplif
- Q Use the properties of limits to evaluate the limit if it exists 3x 7x 2 x 13x 4x 2 lim OA OB 0 O C C 8 3 7 4...
- Q Solve the triangle Round lengths to the nearest tenth and angle measures to the nearest degree B 9 5 A
- Q Use the properties of limits to find the given limit 5x5 2x4 10x 20 6x5 lim X lim 848 5x5 2x4 10x 20 6x Type an integer or a simplified...
- Q Solve the equation on the interval 0 2TT sin x cos X 0
- Q 1 Below is the graph of y 4 Translate it to become the graph of y 3 X S
- Q f x Find f x for each x value in the table X 3 2 1 0 f x 0 0 8 08 3 X
- Q When asked for exact values you MUST draw each angle on the Cartesian Plane identify the related acute angle and drav the special triangle or use the unit circle Determine...
- Q The fun V g x 8 Find g x for each x value in the table X 3 2 1 g is defined by the following rule 0 g x...
- Q 9 x 13 Find g x for each x value in the table X 2 1 0 g x 8 08 X 5
- Q Use the Factor Theorem to find all real zeros for the given polynomial function and one factor f x 5x 11x 3x 10 x 2 What zero corresponds to the...
- Q Step 1 Isolate one radical on one side of the equation Step 2 Raise each side of the equation to a power equal to the index of the radical and...
- Q The circles are tangent to the rectangle and to each other as shown If the area of each circle is 16 then the area of the rectangle is F 32...
- Q Determine the following limit Use L Hopital s Rule if appropriate Enter DNE if the limit fails to exist except in case of an infinite limit If an infinite limit...
- Q The graph of f is given below Sketch the graph of f 10 8 642 Clear All Draw 2 4 6 8 10 10 8 6 4 2 2 4...
- Q If tan 0 7 0 0 2 find sin DIN sin 2 0 2 Simplify your answer including any radicals Use inte
- Q From the graph determine the x and y intercepts and the vertical and horizontal asymptotes If an answer does not exist enter DNE Enter your asymptotes as a comma separated...
- Q The drive wheel of an engine is 13 inches in diameter and the pulley on the rotary pump is 7 inches in diameter If the shafts of the drive wheel...
- Q Given A 4 1 43 4 1 and B 0 4 find the product 0 4 BA if possible 1 3
- Q 7 Rewrite the following geometric series into the form arn 1 Then state the initial term a the ratio r and determine whether they converge or diverge If it converges...
- Q Rewrite equation as requested a Rewrite as an exponential equation a 1 1083 81 b Rewrite as a logarithmic equation 8 64 OP 0 lag 4 0 0 X 00
- Q Tutorial Exercise Evaluate the definite integral Use a graphing utility to verify your result 1 Step 1 9 sin x dx To evaluate the integral M Therefore To 9 sin...
- Q Find the general solution of the differential equation Use C for the constant of integration 5x V1 x y 1 dy dx
- Q By definition fog x So if g 2 6 and f 6 20 then fog 2
- Q 5 Compute the first four partial sums S S2 S3 and S4 for the series whose nth term 1 In other words compute k 72 In n 1 n for...
- Q ind the area of the shaded region AY 2 1 1 4 y x 2 2 3 4 square units y x
- Q Determine the area of the given region under the curve 1 1 y
- Q John decided to get some exercise yesterday using a local hiking trail After driving to the local trail John decided to track his distance from the car parked in the...
- Q 6 Consider the infinite series 1 1 n 1 a Compute the first few partial sums of this series Do you see a pattern What does t sequence of partial...
- Q 1 Let an and bn be two sequences with lim an 1 and lim bn 1 Use the algebraic limit laws to determine the following 81x 81x a lim 3an...
- Q 8 Determine whether the following series diverge using the divergence test If the test inconclusive please state it as such a b c n 1 n 1 n n 2...
- Q Use L H pital s rule to find the limit x 51 X 6 lim X X Apply L H pital s rule so that the lim 8 18 lim...
- Q Even though the limit can be found using the theorem Limits of Rational Functions at Infinity and Horizontal Asymptotes of Rational Functions use L H pital s rule to find...
- Q 0 0 O 0 1 0 1 0 Evaluate Assume u 0 when In u appears In x X 12 1 0 OA O B dx O D In x...
- Q Use L H pital s rule to find the following limit and check the answer using an algebraic simplification x x 72 X 9 lim X 9 lim X 9...
- Q 7 0 Find the equilibrium point 1 0 7 0 1 0 07 1 11 0 16 S x x x 07 1 11 0 D x O A 16...
- Q Use the properties of summation and Theorem 4 2 to evaluate the sum 57 3 181
- Q bwork2 colu 1 point Using the graph of g z below answer the following questions a Where is g x 0 b Where is g x 0 c Where is...
- Q The graph of y f x is shown to the right Identify the intervals on which f x is increasing Which of the following shows every interval on which f...
- Q 07 0 11 0 07 0 11 0 07 0 11 0 07 0 11 0 Use the graph of y e and transformations to sketch the exponential function f...
- Q 11 Given a triangle ABC let y 90 60 and a 5 Find the exact values of the remaining parts 4 marks G
- Q The graph of y f x is shown in red Graph y f x 5 Choose the correct graph in blue on the right OA OC Q oo O B...
- Q Na Du La Cu At D x is the price in dollars per unit that consumers are willing to pay for x units of an item and S x is...
- Q Rewrite the complex number 7 cos1 isin1 7 cos1 isin1 in a bia bi form Write the values in exact form or write out as many decimals as possible
- Q Na a Find the equilibrium point b Find the consumer surplus and producer surplus Du c Suppose a maximum rent of 850 per month is imposed by the town council...
- Q 13 a D x is the price in dollars per unit that consumers are willing to pay for x units of an item and S x is the price in...
- Q Evaluate g x ln x at the indicated value of x x e 9 09 9 0 9
- Q Na Ou La Cu At Next question D x is the price in dollars per unit that consumers are willing to pay for x units of an item and S...
- Q A zoo supplier is building a glass walled terrarium whose interior volume is to be 128 ft Material costs per square foot are estimated as shown below 1 00 Walls...
- Q Use the Comparison Test to determine if the series converges or diverges 3 En 13 n 4 n
- Q An athletic field consists of a rectangle with a semicircle at each end as shown below A 880 meter track runs along the perimeter of the field Determine the dimensions...
- Q An 11 foot tall fence runs parallel to a building which is situated 10 feet away from the fence Determine the minimum length of a ladder that can reach the...
- Q Solve for the variable P to two decimal places 69 100 P 0 074 6 P Round to two decimal places as needed
- Q Johan would like to determine the largest rectangle that can be inscribed in a semicircle of radius 525 Determine the dimensions of such a rectangle Width y r x T...
- Q 1 point If tan 0 1 0 0 2 then sin 0 equals cos 0 equals sec 0 equals
- Q 0 Let f x y 1 1 x y for x y 00 00 and let Da x y x y a for a 0 Which of the following statement...
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