Calculus question and answers for February 02, 2024
- Q A 10 foot ladder is leaning against a wall If the top of the ladder slides down the wall at a rate of 2 feet per second how fast is...
- Q A tank contains 70 kg of salt and 2000 L of water Pure water enters a tank at the rate 12 L min The solution is mixed and drains from...
- Q A drug is administered intravenously at a constant rate of 7 mg hour and is excreted at a rate proportional to the quantity present with constant of proportionality k 0...
- Q The instantaneous rate of change of the value of a certain investment P is proportional to its value That is to say TP If r 7 and P 0 4500...
- Q Find the horizontal H A asymptote and the vertical s asymptotes V A of the function 2x 2 f x x x 2
- Q Find the remainder when f x x88 5x 2 is divided by x 1
- Q 12 Find the quotient Q x and the remainder R x when g x x Find the sum of all the zeros of the polynomial function g x 4x 0
- Q 0 Which of the following numbers is not a potential zero of f x 18x 9x 5x 2 3 1 e 2 2 a 2 b 2 9 c 1...
- Q 13 Find the horizontal asymptote HA and vertical asymptote VA of x 4 f x x x 2 a HA y 1 b HA y 0 c HA y 1...
- Q Find the horizontal asymptote s HA and the vertical asymptote s VA of the functia f x 3219 a HA lines y 3 and y 3 VA line x 0...
- Q 20 Identify the solution set of the quadratic inequality x 2x 3 0
- Q Given that x a x 3 and x b x 3 and x 1 2 c x 3 and x 1 d x 3 and x 1 is a zero...
- Q Find the asymptotes of the function f x 2 x 4 x x 2
- Q Let f x 2 x 3 Find 1
- Q Find the vertical asymptotes VA of f x x 5x 6 x 9 a Lines x 2 and x 3 b Lines x 2 and x 3 c Line x...
- Q Which of the following functions is not one to one a f x x 2x on 1 00 b f x x x 1 on 0 0 c f x...
- Q Find the interval that represents the sotution set to the inequality x 1 3 x 4 Which of the following numbers is not a potential zero of f x 18x...
- Q 7 8 Solve the inequality x26 x Express the solution set in interval notation Solve the inequality x x 2 1
- Q If a function is one to one then could points 4 2 and 4 2 lie on the graph of the function and why If a function is even then...
- Q 2 If x 2 is a zero of the polynomial function P x 11x 17x 6x3 2 find the sum of the other zeros of the polynomial
- Q 3 x Solve the inequality 3 Express the solution set in interval notation x 2
- Q If function g x is odd and g 3 2 lies on the graph of the function what are the coordinates of the point that will also lie on the...
- Q Solve the differential equation by the method of integrating factors dy dx y 2xy Use C to represent any constant of integration
- Q Solve the initial value problem y 3y e y 0 0
- Q Solve y 7x y x6 y 1 7 a Identify the integrating factor a z a x 0 b Find the general solution y x Note Use C for an...
- Q 46 lim x ln 1 8118 48 lim x3 2 sin 1 x 818
- Q 61 lim x 1 0 2 14 63 lim x
- Q 48 lim x3 2 sin 1 x
- Q x 0 x4 43 lim x sin m x x18
- Q 29 lim x 0 tan x sin x 31 lim x 0 tanh x x 33 lim X x3 x 0 3
- Q 8 70 Find the limit Use l Hospital s Rule where appropriate If there is a more elementary method consider using it If l Hospital s Rule doesn t apply...
- Q If you choose to not do these problems please do not turn in the assignment 1 extra credit 10 pts Consider the function of two variables given by 1 f...
- Q If 380 000 of bonds are issued during the year and 130 000 of bonds are retired during the year the statement of cash flows indirect method will show a...
- Q Describe the graph of fit f 0 1 and f x 3 for x
- Q 2 20 pts Consider the quadratic function g x 2x 16x 29 a What is the y intercept of the function for yintercept put O y 2x0 16 Y0 29...
- Q a Use definition 1 p 133 to find the slope of the line tangent to the graph off at P b Determine an equation of the tangent line at P...
- Q 28 F v a v 1 O
- Q 2 cos ma 1 1 1 z L Hopital Rule or Taylor series expansion 3 Evaluate lim 140 in terms of m where me R 0 You are not allowed...
- Q he velocity function is u t t2 3t 2 for a particle moving along a line Find the displacement and the distance traveled by the article during the time interval...
- Q tetan A sofa regularly sells for 430 The sale price is 382 70 Find the percent decrease of the sale price from the regular price
- Q Current Attempt in Given the demand curve p 132 q and the supply curve p 4 q2 find the producer surplus when the market is in equilibrium Round your answer...
- Q A sofa regularly sells for 510 The sale price is 397 80 Find the percent decrease of the sale price from the regular price
- Q A desalination process reduces the amount of salt in a container of water by 4 per hour If 35 grams is the initial amount o alt then the amount of...
- Q Consumers millions y 56 54 52 Potato Chips Consumption 5 55 35 50 48 46 44 42 0 42 97 40 0 1 2 3 4 5 6 7 8...
- Q 23 28 a Find the intervals on which f is increasing or decreasing b Find the local maximum and minimum values of f c Find the intervals of concavity and...
- Q Write the parametric equations as a function of a in Cartesian form S 1 with a 0 t x 3e y 6e 4
- Q 1 3 y y4 12 R t t e 3 t II F y 13 y X 1 x x y 5y 14 y X 1 x x
- Q 4 g x x ex
- Q 16 y 18 y t 1 1 S kes
- Q 10 Y u u u u 2u
- Q Find the consumer surplus for the demand curve p 100 3q when q 5 units are sold at the equilibrium price The consumer surplus is 187 5 X
- Q 12 R t t e 3 t
- Q 8 f t 2t
- Q 7 g x 3x 1 2x 1 9 V x 2x 3 x 2x I0 Y u u 2 u 3 u 2u 8 f t 2t 4 t
- Q 3 f x x 2x ex 4 g x x e
- Q Suppose that you earned a bachelor s degree and now you re teaching high school The school district offers teachers the opportunity to take a year off to earn a...
- Q 23 f x 25 f x A B Cex X X X 24 f x 26 f x 1 xe x ex ax b CX d
- Q 27 30 Find f x and f x 27 f x x e 29 f x x 1 2x 28 f x x5 2ex 30 f x X 3 e
- Q 1 Find the derivative of y x 1 x 1 in two ways by using the Product Rule and by performing the multiplication first Do your answers agree 2 Find...
- Q 3 26 Differentiate 3 f x x 2x e 5 y X 4 g x x ex ex 1 X 6 y
- Q What is p x when p x log4 Select the correct answer below O p x O p x O p x O p x 12x 5 6x 5x 2...
- Q Find the derivative of 6 O In 6 6 O In 6 6 O 6 In 6
- Q If r x logs 2x 3x 1 find r x Select the correct answer below In 8 6x 62 2r 3r2 1 O logs 6x2 6x O O 1 In...
- Q Consider the following rational expression Step 2 of 2 Determine what value s if any of the variable must be excluded Answer Select the number of values that must be...
- Q x 1 What is the first derivative of g x ln 1 Select the correct answer below 3x Og x x 1 3x x 1 Og x Og x Og...
- Q 27x 6 3x 4
- Q Graph the function f x x 6x by starting with the graph of y x and using transformations shifting stretching compressing and or reflecting Use the graphing tool to graph...
- Q The monthly revenue R achieved by selling x wristwatches is figured to be R x 71x 0 2x The monthly cost C of selling x wristwatches is C x 30x...
- Q Multiply or divide the following rational expressions as indicated and simplify your answer x 7x 12 x 4 27 x 3x 18 x 4
- Q Graph the function f x x 2 4 by starting with the graph of y x and using transformations shifting stretching compressing and or reflecting Use the graphing tool to...
- Q What is t x when t x ln In 2 3 2 2 Select the correct answer below O t x 2 O t x 2 O t x O...
- Q Question 5 of Add or subtract the following rational expressions as indicated and simplify your answer y 3 35 Answer y 2 y 3 2 y2 2y 31
- Q Graph the following function by starting with the graph of y x and using transformations shifting compressing stretching and or reflection 52 f x 4x Lan the graphing tool to...
- Q Solve the following quadratic like equation Te
- Q If t x ln find t x A 2 1 Select the correct answer below t x 1 2 2 1 O I 2x O t x x t x...
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