Differentiation Questions and Answers

Find the value of each variable in

Find the value of each va X Simplify your ans

K The following table gives the number of fatal w Cause Transportation accidents Assaults and violent acts Contacts with objects and equipment Falls Exposure to harmful substances or environme Fires and explosions Other Find the probability that a randomly chosen w

on 13 of 32 1 point Question Attempt 1 of 1 2 2x 2 4x 4 3 4 5 ph has no horizontal asymptotes 6 he horizontal asymptotes if any oh of the function has any horizontal asymptote determin s as integers or simplified fractions re than one answer use the and button Select None i

se the remainder theorem to evaluate the polynomial for the given values of x 32x 15 f x 2x 5x 25x Part 0 4 Part 1 of 4 a f 1 35 Part 1 4 Part 2 of 4 b f 5 540 Part 2 4 X X 3

The function f x is one to one Find f1 analy

Work ingle fair die is tossed Find the hat is the total number of possibl

Solve the following logarithmic equation Express irrational solutions in the exact form and as decimals 2log 13 x 2 log 13 4x 11 The solution set is 7 Use a comma to separate answers as needed Simplify your answers Type exact answers using radicals as needed Express irrational solutions as decimals Select the correct choice below and if necessary fill in the answer box to complete your choice OA The solution set is Use a comma to separate answers as needed Round to three decimal places as needed OB The solution set has no irrational solutions

The function f x is one to one Find f analytic 1

5 4 3 2 1 5 4 3 2 1 m 4 1 2 3 4 5 2 3 IN a Find the slope of the above graph

For problems 6 8 determine the second derivative 6 9 x sin 2x 9x

Higher Order For problems 1 5 determine the fourth derivative 1 h t 3t7 6t4 8t 12t 18

Find the derivative of the function 1 t 1 4 g t g t

Find the derivative of the function y 1 4 y 2y 6 G y G y

Find the derivative of the function y 1 A 1 y

Differentiate f x the function f x In x

Find the following derivative d 8 8 x6 dx 6

Find the derivative F x of the function F x x 3x2 2

Find the derivative of the function f x 3 x12 V3 f x

Find the derivative of the function g x 4 5x 4 4 x g x

Apr 06 11 32 42 AM 3x 2t dt Find an expression 3 Let F be the function defined by F x for F x

O is the origin and 0 0 0 0 is the point F 3 5 4 and the diagram is a rectangular prism what are the coordinates for all the other points What are the coordinates for vector G What is GA Report any approximations to three decimal places accuracy

Convert the line integral to an ordinary integral with respect to the parameter and evaluate it Say y z ds C is the helix 3 cos t 3 sint t for 2x t 0 C The value of the ordinary integral is 2 2 Type an exact answer using radicals as needed

If a curve C is given by r t 5t 7t what is r t r t Type an exact answer using radicals as needed

2 The graphs below show functions for x T Match the functions below with the graphs and explain what you used to make each match Note the graphs are not all at the same scale look closely at the vertical tick marks begin array ll f x sin x g x cos x h x 3 sin x i x 4 cos x j x sin x 3 k x cos x 4 x 2 sin x 1 m x 3 cos x 1 end array

thermometer reading 6 C is brought into a room with a constant temperature 30 C If the thermometer reads 14 C after 3 minutes what will it read after eing in the room for 5 minutes For 10 minutes After 5 minutes the thermometer will read 17 79 C Do not round until the final answer Then round to the nearest hundredth as needed After 10 minutes the thermometer will read C Do not round until the final answer Then round to the nearest hundredth as needed

Question 12 1 1 6 7 ue of x y u V z if it is known t W

following system of equations using Cramer Bx 5x 5y 5y 2 28

Suppose that f x 3e exe Find f 3 f 3

Apr 05 9 20 54 PM Let f be the function defined by f x 42 12 5 dt Find an expression for

Find for the function y x 2 cos x dy dx dy dx

f x 3 ln sec x tan x f x HINT Simplify the first derivative before you find the second derivative

Use logarithmic differentiation to find f x if f x f x 5x 4 4 6x 4

Find the derivative of the function dla g x 3x x

Determine the values for and f x ax bx c a b so that f x has a local maximum at and x 3 a local minimum at 9 x 5 f 3 5 marks 8

Let f x 6 sin x 3 cos x tan x 3 cos x 3 22 3 sin z z tan 2

48 Find all values of c for which the following series converges 1 7 n n 1

The following function is one to one Find the

se of 1 1 1 32 1 31 2 is 57 1 1 7 117 37 7 4 9 7 7 7 3 2 1 NI A Use

1000 L of heptane spills into a pool of 5 m floor area Assume the combustion efficiency of the fuel is 80 estimate the energy release rate and duration of fire

Use the following matrices to compute the expression AB 312 2 2 1 3 0 1 A 3 04 2 10 C B

Use the Change of Base Formu logarithm logy 66 Use a calculator to evaluate th

The slope of the tangent line to the parabola y 4x 2x 3 at the point 1 5 is The equation of this tangent line can be written in the form y mx bwhere m is

1000 1 06 2 in terms of log Question Help

log10 1 00 Question Help Calculat

Evaluate using log 840 Question Help

If f x 23x 13 use the limit definition of the derivative to evaluate f 3

1 9 log3 Question Help C Calculator

A boat is sailing due east parallel to the shoreline at a speed of 9 miles per hour At a given time the bearing to a lighthouse is S 70 E and 15 minutes later the bearing is S 63 E see figure The lighthouse is located at the shoreline Find the distance d from the boat to the shoreline Round your answer to one decimal place mi 70 E

Sketch a graph of the function f x 2 sin 6 9 8 7 6 5 T 3 2 1 15 4 3 2 1 1 N 2 3 A 5 6 7 1 2 3 4 5 7 8 9