Calculus Questions

The total accumulated costs C t and revenues R t in thousands of dollars respectively for a photocopying machine satisfy 1 C t 55 and 46 R t 5t5e t6 where t is the time in years Find the useful life of the machine to the nearest year What is the total profit accumulated during the useful life of the machine The useful life of the machine is year s Round to the nearest year as needed F www Using the useful life of the machine rounded to the nearest year the total profit accumulated during the useful life of the machine is Round to the nearest dollar as needed

Question 6 Solve the rational inequality Write your answer in interval notation 4 3 C 2 0

Use the properties of logarithms to condense the expression Assume z 6 5 In z In z 5 2 In z 6

Question 1 Solve the given inequality Enter your answer using interval notation and exact values 2x 724x 3

Question 4 Find the domain of function r z 22 7x 3 Write your answer using interval notation in the box below Enter your values as integers or reduced fractions Domain of r z 21 72 3 Question Help Video Morrago instructor

Solve the polynomial inequality 12 3x 2x 0 You may need to factor the polynomial to solve State your answer using interval notation Use U for union and oo for o

Solve the inequality 4 x 2 0 Select all the intervals below that are included in the solution x 4 2 x 4 X 2 x 2 x 4

Calculate the indicated Riemann sum S4 for the function f x 19 3x Partition 0 12 into four subintervals of equal length and for each subinterval XK 1Xk let ck 2xk 1 xk 3 S4 Simplify your answer CIE

dp dx The marginal price at x units of demand per week is proportional to the price p There is no weekly demand at a price of 50 per unit p 0 50 and there is a weekly demand of 8 units at the price of 23 68 per unit p 8 23 68 Use the given information to answer the questions a Find the price demand equation p x Type an exact answer in simplified fifirm Round all decimal values to the nearest hundredth as needed b At a demand of 10 units per week what is the price p 10 Round to the nearest cent as needed c Graph the price demand equation for 0 x 25 Choose the correct graph below A Ap 60 Q OB Ap 60 O C Ap 60 TTI D 60 1

In the figure a line segment of length L is to be drawn from the given point to the positive x axis in order to form a triangle For what value s of L can the following be drawn a two triangles b exactly one triangle c no triangle a For what value s of L can two triangles be drawn Select all that apply A L 4 B L 4 C L 5 CIXD D 4 L 5 E L 5

Watch the video that describes using the Law of Cosines to solve a triangle SSS Click here to watch the video Solve the triangle if possible I A 12 19 C 10 B Find the measure of angle A Select the correct choice below and if necessary fill in the answer box to complete choice A A Do not round until the final answer Then round to two decimal places as needed

The weekly marginal revenue from the sale of x pairs of tennis shoes is given by the equation below where R x is revenue in dollar 300 x 1 R x 36 0 03x R 0 0 Find the revenue function Find the revenue from the sale of 1 000 pairs of shoes Find the revenue function R x R x Use integers or decimals for any numbers in the expression Find the revenue from the sale of 1 000 pairs of shoes The revenue the sale of 1 000 pairs of shoes is Round to the nearest cent as needed

angle between u 4 5 and v 1 2 to the nearest tenth of a degree The angle between u and v is Round to the nearest tenth O

Watch the video that describes using the Law of Sines to solve a triangle SAA Click here to watch the video Find the exact length of side a Do not use a calculator C 15 1 a 120 B A Length of a Simplify your answer Type an exact answer using radicals as needed Rationalize all denominators

2 Find the volume generated by revolving the regions bounded by the given curve about the x axis y x 1 x 0 x 3 y 0

Click here to watch the video Given vectors u and v find a 3u b 3u 5v c v 5u u 4 5 v 2 0 a 3u CND

For u 2 1 v 5 1 and w 1 2 evaluate the expression 4u v 4u v Simplify your answer

The angle between 1 3 and 2 6 is Round to the nearest tenth as needed

Write the vector 4 17 in the form ai bj C

Find the dot product of u and v u 4i and v 3i 5j V Simplify your answer

For u 2 5 and v 4 3 find u v u v

he vector in the form a b 2 30 Q Q The vector is Simplify your answer including any rac integers or fractions for any numbers in the expression

Given vectors u and u 9 7 v 2 0 a 4u

The marginal average cost of producing x digital sports watches is given by the function C x where C x is the average cost in dollars c x 1 700 2 C 100 27 Find the average cost function and the cost function What are the fixed costs The average cost function is C x The cost function is C x The fixed costs are

A 142 94 b 5 385 feet a 7 947 feet Select the correct choice below and if necessary fill in the answer box to complete your choice Simplify your answer Type an integer or decimal Do not round until the final answer Then round to the nearest hundredth as needed OA The triangle has one solution B C c feet OB The triangle has two solutions The measurements for the solution with the longer side c are as follows B C C feet The measurements for the solution with the shorter side c are as follows B C C feet C The triangle has no solution

B 67 30 c 36 m a 73 m What is the length of side b b m Round to the nearest whole number as needed What is the measure of angle A A 0 0 Round to the nearest whole number as needed What is the measure of angle C c Round to the nearest whole number as needed

a b

a Simplify your answer Type an exact answer using radicals as needed Use integers or fractions for any numbers in the expression 60 24

Find the value of 0 in the triangle Do not use a calculator 0

K Determine the number of triangles ABC possible with the given parts A 44 7 a 8 7 b 10 3 How many possible solutions does this triangle have

K hgle ABC has standard labeling and complete the statement below a Determine whether SAA ASA SSA SAS or SSS is given b Decide whether the law of sines or the law of cosines should be used to begin solving the triangle a b and C a If the values of a b and C are known which arrangement of information is given Choose the correct answer below ASA SAS SAA S55 SSA b Should the law of cosines or the law of sines be used law of sines Olaw of cosines

ermine the remaining sides and angles of the triangle ABC where A 100 83 8 30 14 and b 150 feet

Determine the remaining sides and angles of the triangle ABC where A 118 45 B 37 95 and b 120 feet C c

Determine the remaining sides and angles of the triangle ABC A Round to the nearest degree as needed COL 4 6gd a 15 m 44 B

a Simplify your answer including any radicals Use integers or fractions for any numbers in the expression A 450

u 41 v 21 8 a 4u Type your answer in terms of I and J 5u

Calculate the definite integral 1 10 0 x dx

Find the particular solution of the differential equation dy 3 dx 1 x y 0 1

Find the particular antiderivative of the following derivative that satisfies the given condition dy dx 3x2 7x 1 y 1 3

Graph the particular solution to Choose the correct graph OA y X dy x 2 that goes through 0 1 dx OB ST y OC y AT X

According to molecular orbital theory what is the bond order in the O ion O 5 5 05 04 O2 5 O 1 5

Use a calculator to evaluate the function at the indicated value of x Round your result to the nearest thousandth f x 7 2e x x 300

Use Lagrange multipliers to find the maximum and minimum values of f x y x 4xy subject to the constraint x y 106 if such values exist Enter the exact answer If there is no global maximum or global minimum enter N Optimal f xv

The weekly marginal revenue from the sale of x pairs of tennis shoes is given by the equation below where R x is revenue in dollars 400 x 1 R 0 0 Find the revenue function Find the revenue from the sale of 1 000 pairs of shoes R x 30 0 02x Find the revenue function R x R x 30x 0 01x 400 In x 1 Use integers or decimals for any numbers in the expression Find the revenue from the sale of 1 000 pairs of Ishoes The revenue the sale of 1 000 pairs of shoes is Round to the nearest cent as needed ACCEM

The weekly marginal revenue from the sale of x pairs of tennis shoes is given by the equation below where R x is revenue in dollar 400 x 1 Find the revenue function Find the revenue from the sale of 1 000 pairs of shoes R x 30 0 02x R 0 0 Find the revenue function R x R x Use integers or decimals for any numbers in the expression

OH 1 6 am a do Hisoblang To Determinantni hisoblang 2 2 3 1 2 2 3 TOTO 20

Question 7 The equation y log x 5 has a vertical asymptote at X Question Help Video Message instructor

Next question Identify the domain of the following functions a f x log 4x 7 00 17 4 Domain b f x ln 3x 2 Domain Get a similar question c f x log 2x 8 Domain Question Help Message instructor OF You ca

9 Find the limit using l Hospital s Rule if appropriate lim 1 9x x ANSWER 1 AT SuleV 085M or to assas Daly

1 Evaluate the definite integral sine sine tan 0 a sec 0 h 2 x 5 dx de