Calculus Questions

Find the exact global maximum and minimum values of the function f x x for x 0 If there is no global minimum or maximum enter NA The global minimum is The global maximum is

3 a Find symmetric equations for the line that passes through the point 1 5 6 and is parallel to the vector 1 2 3 b Find the points in which the required line in part a intersects the coordinate planes

Suppose f x has the following properties f is continuous and positive for all x 4 14 f is increasing for all x 4 14 11 f a da 112 4 f 4 must be less than

Let A x f t dt where is the function given by the graph below 2 1 4 3 2 1 1 IN 3 A 4 2 A 7 Question Help Video Add Work 5 6 4

a Find the values of x for which f x has a local maximum Enter your answers in the increasing order x 11 x MI i eTextbook and Media b Find the value of x for which f x has a local minimum

How many inflection points are there f x There is are i x inflection poi

How many inflection points are there There is are f x p inflection point s

The table below shows values for four differentiable functions Suppose we know the following things b x t x t x p x p x c x c x b x 0 c x 0 b x p x 2 4 0 t x 0 1 What is and What is 1 2 3 4 2 4 1 3 0 4 3 1 3 2 32 S p x dx 4 b x 4 dx What is the equation of the tangent line to the curve y c x when x 0

Use derivatives to find the critical points and inflection points f x 5x 2 Inx Enter the exact answers in increasing order If there is only one critical point enter NA in the second area If there are no inflection points enter NA Critical points X X Inflection point

The figure below is the graph of a second derivative What are the x values that are inflection points of f L Enter your answers in increasing order X i f

Find the inflection points of f x x x 30x 2 Enter the exact answers in increasing order X

Suppose F 2 9 F 7 10 and F x f x Also suppose G 2 0 G 7 6 and G x g x 2 4f x 9g x dx

Next question Get a similar question Suppose F 5 9 F 9 4 and F x f x S f x dx 28 X You ca

stimate the areas under the curve by computing the left Riemann sum Lg

Suppose we want to evaluate the definite integral Part 1 U Js 5z 9 Re write the definite integral in terms of the variable u and remember to use the limits of integration for the function u f z Then input the antiderivative of the integrand and the limits of integration you found Part 2 de using the substitution u 5x 9

6 A record club has found that the marginal profit P x in cents is given by P x 0 0008x 0 34x 57 8x for x 400 where x is the number of members currently enrolled in the club Approximate the total profit when 240 members are enrolled by computing the sum P x Ax with Ax 40 i 1 The total profit when 240 members are enrolled is approximately Round to the nearest cent as needed Marginal profit in cents 28 000 22 400 16 800 11 200 5 600 0 P x 0 0008x 0 34x 57 8x 0 NV VI 100 200 Number of members 300 400

22 The monthly payments P dollars on a mortgage in which A dollars were borrowed at an annual interest rate of r percent for t years is given by P f A r t Which of the following is true of the the function f P monthly A It is a INCREASING function of A and a INCREASING function of t B It is a INCREASING function of A and a DECREASING function of r A amount C It is a DECE NG function of r and a DECREASING function of t D It is a INCREASING function of r and a INCREASING function of A r interect years

5 tan 0 csc 0 cot 0 cos 0 sin 0 1

250 mL sample of nitrogen N has a pressure of 745 mm Ig at 30 C Part A What is the mass of nitrogen VAXO

ntainer is filled with 0 77 mole of O2 at 30 C and 845 Hg What is the volume in milliliters of the container Express your answer using two significant figures C

What is the volume in liters of 3 4 moles methane gas CH4 at 10 C and 1 60 atm Express your answer using two significant figures VAEO L

9 Anita has a tiles bx tiles and c unit tiles to represent the quadratic equation y ax wants to rearrange the tiles into square diagrams a How many diagrams should she make b How many tiles will go to each diagram c How many of those a tiles are needed for the width How many are needed for the length d What is the length and width of each diagram e What is the x coordinate of the vertex of the quadratic bx c She

1 Find the most general antiderivative of the function use C as any constant a f x 1 2 2 2 523 b f x 10 29 314 for x 0 c f x 3 for x e f x e for x 0 d f x cos x 5 sin x e f f x 7x 5 8x 4 5 for x 0

Find f f 0 f 0 sin 0 cos 0 f 0 1 f 0 4

Find f f t 9 t f 4 32 f 4 15 5 1 37 4 f t 9 7

Find the most general antiderivative of the function Check your answer by differentiation Use C for the constant of the antiderivative f x x 3 5x 3 F x 4 Submit Answer X

Suppose you buy a home and finance 275 000 at 2 263 17 per month for 30 years What is the amount of interest paid Round your answer to the nearest cent

Units completed and transferred out Less beginning WIP Units started and completed Answer b Beginning WIP Units started and completed Ending WIP Equivalent units of production Equivalent units of production FIFO Method Direct materials 380 000 76 000 304 000 Answer Req b Cost assignment FIFO Beginning work in process To complete beginning work in process Direct material Conversion Total cost to complete Total cost to complete beginning work in process Started Completed Direct material Answer Req a Cost per Equivalent units of production FIFO Method Cost incurred this period Total costs Equivalent units of production Cost per Equivalent units of production Conversion Total cost of started completed Completed Transferred out Ending work in process Units A 76 000 304 000 98 000 478 000 Percent added B Costs EUP 35 100 85 EUP Cost per EUP Direct materials EUP 26 600 49 400 2 18 EUP C A B EUP Cost per EUP 26 600 304 000 83 300 413 900 3 09 1 278 951 1 278 951 Costs 413 900 EUP 3 09 Total cost 82 194 107 692 Total cost 304 000 3 09 939 360 304 000 2 18 662 720 Cost per EUP Total cost Conversion Percent added D E E 65 4 100 30 35 3 38 Conversion 84 84 38 226 003 189 886 415 889 1 602 080 2 017 969

1 12 5 Points DETAILS SCALCETS 4 9 505 XP MI Find the most general antiderivative of the function Check your answer by differentiation Use C for the constant of the antiderivative f x x 3 5x 3 F x Submit Answer 2 12 5 Points Find the antiderivative F off that satisfies the given condition Check your answer by comparing the graphs of fand F DETAILS SCALCET8 4 9 023

If f f x dx 8 and Submit Answer If 20 Points f x dx DETAILS f x dx 33 and f x dx 5 9 find 9 6 F X ald du 13 SCALCET8 5 2 049 f x dx 9

s t Submit Answer 7 12 5 Points Find f a t 2 8t 7 s 0 0 s 1 20 f x Submit Answer Find f f x 2 30x12x2 f 0 3 f 0 18 8 12 5 Points DETAILS SCALCET8 4 9 039 DETAILS SCALCET8 4 9 514 XPIMI f t 9 4 32 1 A

Evaluate the integral by interpreting it in terms of areas 6 1 1x1 x dx

Find the number of moles of H in 1660 mL H gas n VAEO 2 mol

A record club has found that the marginal profit P x in cents is given by P x 0 0007x 0 34x 48 9x for x 500 where x is the number of members currently enrolled in the club Approximate the total profit when 300 members are enrolled by computing the 6 P x Ax with Ax 50 i 1 sum The total profit when 300 members are enrolled is approximately Round to the nearest cent as needed Marginal profit in cents 30 000 24 000 P x 0 0007x 0 34x 48 9x 18 000 12 000 6 000 0 to 0 X II III IV V VI 100 200 340 400 500 Number of members

I 74 lim X 2x 2x e x In x 1

Find the absolute extrema of the function f t te 9t Enter your answers as a comma separated list If an answer does not exist enter DNE

1 point Every year during home football games the Carroll College fans do push up contests to see how many they can do Suppose that a curious stats student in the stands kept track of the number of push ups completed for several students of both genders Males 22 18 31 22 26 27 31 12 27 18 Females 31 24 14 11 24 6 11 8 16 2 1 Consider the hypothesis that males in this contest can do more pushups than females Use an 0 01 significance level to test the claim a What test method should be used A Two Sample z test B Matched Pairs t test OC Two Sample t test b The test statistic is 11 7172 c Is there sufficient evidence to support the claim that males can do more pushups OA Yes OB No 2 Construct a 99 confidence interval for the mean of the differences between males and females F

5 48 and 5 49 Determine by direct integration the centroid of the area shown 5 50 Determine the centroid of the area shown in terms of a 5 51 Determine the centroid of the area shown when a 4 in 5 52 Determine the volume and the surface area of the solid obtained by rotat ing the area of Prob 5 1 about a the line x 240 mm b the y axis 5 53 Determine the volume and the surface area of the solid obtained by rotating the area of Prob 5 7 about a the x axis b the y axis y a Fig P5 50 and P5 51 X

b Evaluate the following integrals i ii rin e Sin 1 2 x 2 x 1 d dx x 4 e t e t iii 3x x 2 dx de dt

For the following exercise use the figure below to find the desired quantities 25 24 B 13 Find sin 2a cos 2a tan 2a sin 23 cos 23 tan 26

the following exercises determine if the given identities are equivalent 1 cos 0 1 cos 0 cos 0 sin 0 sec 0 1

A note card company has found that the marginal cost per card of producing x note cards is given by the function below where C x is the marginal cost in cents per card Find the total cost of producing 790 cards disregarding any fixed costs C x 0 06x 78 for x 1000 The total cost is cents

At what point is the function f x 16 x not differentiable

ST Find 10 2 if sin x

f t 9t 1 5 If find f t Simplify fully no negative exponents no fractional exponents n exponents under radicals 6 points chan fok

9 Evaluate lim h 0 tan TT 4 h 1 derivative

7tan x y 3 Find an equation of the tangent line to the curve at the point 6 points

8 If g 3 4 and g x x g x for all find 3

Compute lim Ak where A k selectes 1 2 1 2 2 3 1 3

7 Find an equation of the line tangent to the graph of e x 1 at the point where x 0