Application of derivatives Questions and Answers

Page 2 4 Find the exact solu a In the inter

9 To o find the length of the span of a proposed ski lift from P to Q a surveyor measure2DPQ s to be 25 and then walks back a distance of 1000 feet to R and measures LPRQ to be 15 What is the distance from P to Q 10 pts Q D L 25 15 1000 R

Consider the integral approximation T20 of 4e dx Does T20 overestimate or underestimate the exact value A overestimates B underestimates Find the error bound for T20 without calculating TN using the result tha M b a 12N Error Tn where M is the least upper bound for all absolute values of the second derivatives of the function 4e on the interval a b Frror T

x 4 y 5 y 2 7x 2 20 tan x 2 y 3 sec xy 7 6x 4y Find the SLOPE s of ALL line s tangent to the curve C at x 0

K The following function is one to one Fin the function and its inverse on the same f x 2x 5

he following function is one to one Find the inverse algebraically and uare viewing window f x 2x 5 hat is the inverse of f x 1 x TULUI 2 x 5

Estimate i n 1 2n 1 correct to five decimal places

of 1 1 1 21 1 51 0 y z 1 1 5 7 3 7 1 2 27 5 3 7 4 1 7 Use it to s

Given the partition P 0 2 3 6 the left endpoint Riemann sum for f x 2 on on 0 6 is 3 flai d

1 6pts The half life of plutonium 244 is 80 000 000 years Find a function that gives the amount of plutonium 244 remaining as a function of time measured in years

We can use sigma notation to rewrite the sum 3 9 27 81 243 729 as N 3 9 27 81 243 729 f k ne by setting N k 1 and f k

Compute the given product 3 3 2 1 0 2 126 1 15 3 3 22126

ultra courses 323494 1 cl outline Wh Eating disorders S Show Timer Question Completion Status 3x y 6 The Effects of Obesi Re arrange fo either x or y for the following equation Then answers and remember the brackets for the points Re arranged is I Obesity For Blank 1 Y

Find the slope of the line that contains the points 0 9 and 7 2

Find the slope and y intercept fo the following equation if you have a fraction do not add any spaces in your answe 5x 2y 6 0 Slope y intercent

V Question Completion Status QUESTION 22 Re arrange fo either x or y for the followin

Question Completion Status QUESTION 10 Please write the co ordinates of the point indiacted below Enter your answer without spaces 7 6 27 S R Q P

Question Completion Status QUESTION 14 Please write the co ordinates of the point indiacted below Enter your answer without spaces 27 S T R 2 1 0 Q FO P

Question Completion Status QUESTION 13 Please write the co ordinates of the point indiacted below Enter your answer without spaces M S T R 0 O P

Remaining Time 2 hours 56 minutes Question Completion Status QUESTION 7 Label the following point on this grap 7 1

Question Completion Status QUESTION 11 Please write the co ordinates of the point indiacted below Enter your answer without spaces 6 S E 3 R 2 P

A policeman is hidden 25 feet from a highway One second after a truck passes the angle e between the highway and the line of observation from the patrol car to the truck is measured If the angle 0 measures 14 how fast is the truck traveling Express the answer in miles per hour rounded to the nearest integer 30 ft 1 sec

Solve for m in the equa Write answer as an inte log3 m 2

Suppose f is a function with f 19 35 and f 19 f 20 f 18 f 18 5 3 Estimate the following values of

The temperature is currently 62 degrees Fahrenheit and rising by 4 degrees per hour Find the L Linearization L x of the temperature a hours from now L x Estimate the temperature 20 minutes from now Estimate the temperature 1 hour from now Estimate the temperature 1 hour ago Use the local linearization to estimate the temperature 24 hours from now Does the local linearization seem reasonable to use in this last case No V

Use the disk method to find the volume of the solid generated by revolving the region bounded by the given line and curve about the x axis y 9 x y 0 Set up the integral that gives the volume of the solid using the disk method Use increasing limits of integration Select the correct choice below and fill in the answer boxes to complete your choic Type exact answers OA B S dx

Suppose f is a function with f 1 18 and f 1 f 2 f 0 f 1 5 1 Estimate the following values of f

Consider the function f x x It can be shown that the derivative of f is f x 2x Find L x the equation of the line tangent to the graph of f at a 4 L x

For what values of a and b is the line 2x y b tangent to the curve y f x ax when 2 2 1 x 3 Hint The derivative for y f x ax is f x 2 ax a b

Use the limit definition of the derivative to find the slope of the tangent line to the curve f x 2x 3 at x 5

Question 6 f x x 2x 4 57 6 48 38 4 28 8 349 2 a a Find the derivative of the function f x x 2x 4 Derivative of f x f x 0 1 pt b When 5 then the slope of the tangent line is c Write the EQUATION of the line tangent to the graph of f x when a 5

Evaluate the following expressions a In e b eln7 c en 4

Make a probability distribution for the give The sums that appear when two fair four s

Find the area bounded by the graphs of the indicated equations over the given interval when stated Compute answers to three decimal places y 4x y 36 leuloted to three decimal places is square units

Set up a definite integral that represents the indicated shaded area over the interval c d Choose the correct answer below OA Sn x dx C oc S 1 x O C f x h x dx C OE f x h x dx OB f x h x OD 1 x dx OF h x f x dx h x dx a y h x y f x c d

The bearing from the Pine Knob fire tower to the Colt Station fire tower is N 65 E and the two towers are 37 kilometers apart fire spotted by rangers in each tower has a bearing of N 80 E from the Pine Knob and S 70 E from Colt Station see figure the distance of the fire from each tower Round your answers to two decimal places From Pine Knob km From Colt Station km W O E 80 65 Colt Station 70 Fire

Use Heron s Area Formula to find the area of the triangle Round your answer to two decimal places a 33 b 28 c 25

Algebraically solve the system of equations usin

hverse matrix and matrix multiplicat

ollowing matrices to compute H B 03 13 1 3 61 24

inverse matrix and matrix multiplication

6 5 4 3 2 L VE 2 1 m 4 5 6 7 at 2 3 4 5 6 Write an equation for the function graphed above

Find places NOTE The triangle is NOT drawn to scale 113 690 x 38 4

If sin 0 a cos 0 b tan 0 c sec 0 d csc 0 e cot 0 3 7 1 and is in quadrant III then find the exact value of each of the following W

Simplify sec t 1 sec t to an expression involving a single trig function with no fractions If needed enter squared trigonometric expressions using the following notation Example Enter sin t as sin t

During March 2020 Toby Tool Die Company worked on four jobs A review of direct labor costs reveals the following summary data Job Number A257 A258 A259 A260 Total variance Job No Actual A257 Hours Costs 220 4 840 A258 460 310 100 11 040 7 223 2 000 Actual Hours Standard Hours 228 443 311 93 Costs Total Variance 5 016 9 746 6 842 2 046 176 F Analysis reveals that Job A257 was a repeat job Job A258 was a rush order that required overtime work at premium rates of pay Job A259 required a more experienced replacement worker on one shift Work on Job A260 was done for one day by a new trainee when a regular worker was absent 1 294 U Prepare a report for the plant supervisor on direct labor cost variances for March Round actual rate and standard rate to 2 decimal places eg 10 50 Standard Hours 381 U 46 F 1 453 U Quantity Varlance

Find an equation of the plane tangent to the following surface at the given point 2 1 13 cos xyz 1 An equation of the tangent plane at 1 3 Type an exact answer using no is

Use the following graph for questions 1 and 2 Select one a 2 3i O b What complex number does the graph represent O c O d 3 2i 6 4i Im 51 4 6i Clear my choice Select one O a O b 5 2 5 S Re What is the absolute value of the complex number in the graph

Martin wants to ship a souvenir baseball bat that is 16 inches long in this box Will Martin be able to ship the bat in that box Show your work and explain how you found your answer

Use 1 x 1 k 1 Maclaurin series for a b c 1 1 x 1 x 1 1 x m m 1 m k 1 k I xif x 1 to obtain the