Differentiation Questions and Answers
Calculus
DifferentiationFind the derivative of the function given below without using the Quotient or the Product Rules Type your solution step by step 1 xe x f x
Calculus
DifferentiationState the common difference then list the next three terms of each arithmetic sequence a 48 43 38 33 b 8 8 24 40 c 1 1 1 d d d Enter your responses in the space provided Be sure to include a b and c in your responses to indicate the answer for each 27 4
Calculus
DifferentiationChoose the correct match for tan x cot x Select one O a 2 sec x O b sec x csc x O c O d 2 cot x sec x sec x CSC X
Calculus
DifferentiationGiven that I 10 12 watts meter2 what is the intensity of a sound for which the decibel level of the sound measures 113 Round off your answer to three decimal places Keypa
Calculus
DifferentiationEva invests 6700 in a new savings account which earns 5 8 annual interest compounded continuously What will be the value of her investment after 3 years Round to the nearest cent
Calculus
Differentiation5 points Find the 4 second partial derivatives of g u v tan u Just state your answers You must use correct notation to receive full credit Fyi that s inverse tangent
Calculus
DifferentiationShow the following vector field is conservative Then find its potential function F 2e cos y 2e sin y Show all steps
Calculus
DifferentiationGiven z V 2x 3y x st y t s find and using the chain rule for 2 independent variables Show all steps
Calculus
DifferentiationTessa has recently inherited 9700 which she wants to deposit into an IRA account She has determined that her two best bets are an account that compounds annually at an annual rate of 4 6 Account 1 and an account that compounds semi annually at an annual rate of 2 9 Account 2 Step 1 of 2 Which account would pay Tessa more interest nh
Calculus
DifferentiationThe half life of radium 226 is approximately 1 600 years Step 1 of 3 Determine a so that A t Apa describes the amount of radium 226 left after t years where Ag is the amount at times 0 Round to six decimal places Answer Keys
Calculus
Differentiation25x 9y 225 a Find the standard form of the equation of the hyperbola If the hyperbola is degenerate enter NONE in each answer blank b Find the center vertices and foci of the hyperbola center x y vertices x y 1 x y foci x y x y 15 10 5 15 Find the asymptotes of the hyperbola Enter your answers as a comma separated list of equations 10 smaller x value c Sketch the hyperbola Use a graphing utility to verify your answer y 5 15 10 5 10 15 10 larger x value 151 smaller x value larger x value y 15 10 5 10 15 y 5 10
Calculus
Differentiationou want to estimate the first derivative of f x given values of the function at discrete points x1 x2 n Which of these formulas is appropriate for estimating f xo Select all that are orrect a f x b f x c f x 3f xi 4f xi 1 f xi 2 2h f xi 1 f xi 1 2h 3f xi 4f 2i i f 2 2 2 h
Calculus
DifferentiationEva invests 5400 in a new savings account which earns 5 2 annual interest compounded monthly What will be the value of her investment after 6 years Round to the nearest cent inte f
Calculus
Differentiation2 For each function find the derivative using the definition lim h 0 a f x x 2x f x h f x h and evaluate at x 2
Calculus
DifferentiationProblem 2 Find two linearly independent power series solutions centered at x 0 for the differential equati y 2ty 2y 0 Write the first three terms of each power series
Calculus
DifferentiationSelect the simplified form of each given expression below os x csc x tan x 2 11 cos x cos 53 12 53 A 1 D tan x sin a 1 cosa A 1 D 2 sec a 1 cot 13 53 1 tan 1 cosa sin a A D sin cos sec B E sin x csc x B 2 sin a E csc a B csc E cot C cos x C 2 csc a C tan
Calculus
DifferentiationUse the Definition of derivative to calculate f x if f x menue For the toolbar press ALT F10 PC or ALT FN F1000 1 x 5
Calculus
Differentiation13 The globe ina classroom has a diameter of Cinches which Comentation describes the volumes
Calculus
Differentiation4 If h r is a differentiable function with h 1 2 and h 1 1 evaluate f 1 given that f x h x h x 2 1 5 If blo Answer f 1 9 2
Calculus
Differentiation2 If h r is a differentiable function with h 1 2 and h 1 1 evaluate f 1 given that 1 tan x Answer f 1 8 3m 1 4
Calculus
DifferentiationFind the intervals on which the function f x x sina is increasing or decreasing on interval 27 27
Calculus
Differentiationb Verify that the function f x satisfies the conditions of the mean value theorem on the interval 1 9 and find all numbers c in the interval such that f c is equal to the slope of the secant line between 1 f 1 and 9 f 9
Calculus
Differentiationan Value Theorem a Find the value s of c guaranteed by the Mean Value Theorem for f x ln x on th 1 4
Calculus
DifferentiationGiven the matrices A and A find the following AA B where a 8 44 2B where e C The product A B where j b f k C 9 1 d h
Calculus
Differentiationcombine into one log expression log x 1 log x 1 log x log 3 O log x2 1 3 x O log x 1 3x O log x 1 x 1 3 x O log x 1 3 x Question 23 let f x 3x 5 find an expression for inverse of f x Hind find f x O x 3 5 O 3x 5 O No answer text provided x 51 3
Calculus
DifferentiationFind equation p x 3x 1 x x 2 Oy 3 Oy 3 Othere is no Horizontal Asymtotes O y 0 Question 12 Use Graphical Calculator to find all zeros for g x x 6x 1 Ox 0 16 x 2 36 Ox 0 16 x 2 36 Ox 0 16 x 2 36 Ox 0 16 x 2 36
Calculus
Differentiation2 1 8 none of these answers 0 x 4 O x 1 O x 3 Question 14 Solve for x log x log 2x 3 O none of these answers O x 2 3 O x 3 2 O x 3 Question 15
Calculus
Differentiationn 1 n 2 Show the derivation of and give the Taylor series for sin x around x 1
Calculus
Differentiationconverge Remember to check endpoints if there is an interval of convergence 5 Find dy for the curve x t lnt y t 1 t What happens as t 0 dx 6 Find the 23
Calculus
DifferentiationComparison and order of int 1 State the greatest number plotted on the following number line i 10 i 2 State the smallest number plotted on the following number line 20 a 4 and 8 5 15 a 3 and 6 10 3 For each of the following pairs of numbers Plot the numbers on a number line 0 5 b 17 and 3 4 For each of the following pairs of numbers Plot the numbers on a number line 0 b 7 and 16 5 State the greatest number in each set a 19 13 6 b 16 6 12 e 7 17 12 f 8 8 7 5 c 2 and 7 10 10 c 8 and 5 15 ii State which number is larger 15 c 20 3 15 g 35 36 40 20 ii State which number is smaller d 4 and 9 d 1 and 3 d 13 14 2 h 99 87 71
Calculus
DifferentiationSolve the following polynomial equation by factoring or using the quadratic formula Identify all solutions x 11x 18 0 Answer 2 Points
Calculus
Differentiation10 5 pts Openstax 6 9 394 Calculate dx In sech x tanh x 11 5 pts Openstax 6 9 400 Integrate f tanh x sech x dx
Calculus
DifferentiationLook at the graph 10 5 Submit 1014 5 0 10 What is the equation of the vertical asymptote X 10
Calculus
Differentiation7 Let x t 2 y t 3 4t be parametric equations Determine the interval fort in which the curve is concave up
Calculus
DifferentiationUse f x lim b 0 x f x h f x h s x 4x 3 to find the derivative at x for the given func
Calculus
DifferentiationOX 2 Question 2 Find the x intercept and the y intercepts for the function given bel y log x 2 no x intercept and y 2 is the y intercept O x 3 is its x intercept and no y intercept O x 2 is its x intercept and no y intercept
Calculus
DifferentiationO none of these answers Question 7 Find max point for f x x 6x 1 O 1 4 4 6 O 1 4 4 6 O 1 4 4 6 O none of these answers
Calculus
DifferentiationIn AVWX v 390 inches w 390 inches and x 500 inches Find the measure of ZX to the nearest 10th of a degree
Calculus
DifferentiationFind fxx x y fxy x y fyx x y and fyy x y for the following function 2x 5y 6x f x y fxx x y fxy x y 9y 5y 3x