A skydiver jumps out of a plane that is flying 2500 meters above the ground. The...
No answer yet for this question.
Ask a Tutor
Question:
Transcribed Image Text:
A skydiver jumps out of a plane that is flying 2500 meters above the ground. The skydiver's height, h, in meters, above the ground after t seconds is h(t) = 2500-4.9t. a) Determine the rate of change of the height of the skydiver at t = 5s b) The skydiver's parachute opens at 1000m above the ground. After how many seconds does this happen? c) What is the rate of change of the height of the skydiver at the time found in part b)? 6) Simplify and then differentiate 10x4-6x 2x a) f(x) = b) f(x) = (5x+ 2) 7) A skydiver jumps out of a plane that is flying 2500 meters above the ground. The skydiver's height, h, in meters, above the ground after t seconds is h(t) = 2500 - 4.9t. a) Determine the rate of change of the height of the skydiver at t = 5s 4) Find the derivative of each function a) f(x) = 2x + x d) p(a) = -2a 15 b) y = x5 - 3x e) k(s) = + -754 c) h(t) = -1.1x4 + 78 5)a) Determine the point at which the slope of the tangent to each parabola is zero. i) y = 6x 3x + 4 ii) y -x + 2x + 3 1) Circle the functions that have a derivative of zero: A) y = 8.7 B) y = 4+x c) y = -x 2) For each function, determine a) y = x d) y = x dy dx b) y = x e) y = / D) y = 7 c) y = -3x+ f) y =/ 11 E) y = -7.1 3) Determine the slope of the tangent to the graph of each function at the indicated value. a) y = 6 at x = 12 b) f(x) = 2x5 at x = 3 c) y = = at x = -2 3x 5) Use the graph to determine the following limits a) lim_h(x) x-1+ b) lim h(x) X--1- c) lim_h(x) x--1 d) lim h(x) e) lim h(x) X-3- f) lim h(x) X-3 3 96 34 3 -3 y=h(x) 3 6 48 3) Complete the following table and use results to estimate lim x--1+x+1 4) Use the graph to find the following limits: a) lim b) lim X--1-x+1 c) lim X x-2 x-x-2 X-1x+1 x-2 x-2x-x-2 1.9 1.99 1.999 2.001 2.01 > 6 + N 02 -6 -4 -2,0 2 I T2 2.1 I I +4 1 f(x) 4 42 x+1 6 x 1) Evaluate each limit 3x a) lim- x-2x+2 2) Evaluate the limit of each a) lim 4-x x-2 2-x 16-x X-4x +64 d) lim b) lim (x+x + x) X--1 b) lim 2x +5x+3 X-1 x+1 x-16 x-4x-5x+6 e) lim c) lim (x+1 c) lim x-27 X-3 x-3 x+x X-1 x+1 f) lim A skydiver jumps out of a plane that is flying 2500 meters above the ground. The skydiver's height, h, in meters, above the ground after t seconds is h(t) = 2500-4.9t. a) Determine the rate of change of the height of the skydiver at t = 5s b) The skydiver's parachute opens at 1000m above the ground. After how many seconds does this happen? c) What is the rate of change of the height of the skydiver at the time found in part b)? 6) Simplify and then differentiate 10x4-6x 2x a) f(x) = b) f(x) = (5x+ 2) 7) A skydiver jumps out of a plane that is flying 2500 meters above the ground. The skydiver's height, h, in meters, above the ground after t seconds is h(t) = 2500 - 4.9t. a) Determine the rate of change of the height of the skydiver at t = 5s 4) Find the derivative of each function a) f(x) = 2x + x d) p(a) = -2a 15 b) y = x5 - 3x e) k(s) = + -754 c) h(t) = -1.1x4 + 78 5)a) Determine the point at which the slope of the tangent to each parabola is zero. i) y = 6x 3x + 4 ii) y -x + 2x + 3 1) Circle the functions that have a derivative of zero: A) y = 8.7 B) y = 4+x c) y = -x 2) For each function, determine a) y = x d) y = x dy dx b) y = x e) y = / D) y = 7 c) y = -3x+ f) y =/ 11 E) y = -7.1 3) Determine the slope of the tangent to the graph of each function at the indicated value. a) y = 6 at x = 12 b) f(x) = 2x5 at x = 3 c) y = = at x = -2 3x 5) Use the graph to determine the following limits a) lim_h(x) x-1+ b) lim h(x) X--1- c) lim_h(x) x--1 d) lim h(x) e) lim h(x) X-3- f) lim h(x) X-3 3 96 34 3 -3 y=h(x) 3 6 48 3) Complete the following table and use results to estimate lim x--1+x+1 4) Use the graph to find the following limits: a) lim b) lim X--1-x+1 c) lim X x-2 x-x-2 X-1x+1 x-2 x-2x-x-2 1.9 1.99 1.999 2.001 2.01 > 6 + N 02 -6 -4 -2,0 2 I T2 2.1 I I +4 1 f(x) 4 42 x+1 6 x 1) Evaluate each limit 3x a) lim- x-2x+2 2) Evaluate the limit of each a) lim 4-x x-2 2-x 16-x X-4x +64 d) lim b) lim (x+x + x) X--1 b) lim 2x +5x+3 X-1 x+1 x-16 x-4x-5x+6 e) lim c) lim (x+1 c) lim x-27 X-3 x-3 x+x X-1 x+1 f) lim
Expert Answer:
Related Book For
A Survey of Mathematics with Applications
ISBN: 978-0134112107
10th edition
Authors: Allen R. Angel, Christine D. Abbott, Dennis Runde
Posted Date:
Students also viewed these databases questions
-
In hospitality management, you were tasked with improving the efficiency of room service in a hotel. Describe the steps you took to analyze and enhance the process, and what were the key outcomes?
-
The fundamental objective of procurement and supply is to add value to the organization .Assuming you have been employed at Mulungushi University as a purchasing manager, how would you go about...
-
The velocity of a skydiver whose parachute is still closed can be modeled by assuming that the air resistance is proportional to the velocity. From Newton's second law of motion the relationship...
-
ed The Engine Guys produces specialized engines for "snow climber buses. The company's normal monthly production volume is 2,500 engines, whereas its monthly production capacity is 5,000 engines. The...
-
Determine the normal reaction at the roller A and horizontal and vertical components at pin B for equilibrium of the member. Units Used: kN = 103 N Given: F1 = 10kN F2 = 6kN a = 0.6 m b = 0.6 m c =...
-
A warehouse worker must push a hand cart loaded with cases of textbooks. The total weight of the cart and textbooks is 480 lbs. If the worker weighs 180 lbs. and a horizontal force of 80 lbs must be...
-
Consider the derivation of Equation (4.5) for the sample size of a two-sample z-test with known variance and equal allocation. a. Identify terms in Equation (4.2) that are smaller than $\alpha / 2$...
-
Tiffany Goren started her own consulting firm, Goren Consulting, on May 1, 2010. The trial balance at May 31 is as shown below. In addition to those accounts listed on the trial balance, the chart of...
-
4-0 stainless steel sutures used for orthopedic applications are subjected to a heat treating process. The sutures are drawn through an oven at a rate of 0.5 meters per minute. The oven temperature...
-
Consider the following parlor game to be played between two players. Each player begins with three chips: one red, one white, and one blue. Each chip can be used only once. To begin, each player...
-
In Germany the law requires a public companyIn Germany the law requires a public company's board of directors to include labor representatives, not just management. Do you think it is a good idea to...
-
Refer to Problem 35. If we let E represent the event that a randomly selected American who is 25 years of age or older is employed, we can also obtain the following probabilities from the Census...
-
Twelve patients undergoing recuperation from cardiothoracic surgery are randomly divided into two groups. Because the treatment that one group is about to receive affects blood glucose levels, the...
-
Given an MA process generated by applying a zero-mean white noise with unit variance to a system described by \[H(z)=0.921-1.6252 z^{-1}+z^{-2} \text {, }\] estimate the third-order AR model for the...
-
The data in the following table represent the proportion of Americans 25 years of age or older at various levels of educational attainment in 2013. If we let M represent the event that a randomly...
-
Design a phase equalizer for the elliptic filter of Exercise 6.6 with the same order as the filter. Exercise 6.6 Design highpass Butterworth, Chebyshev, and elliptic filters that satisfy the...
-
choose the correct answer : All of the following Influence capital budgeting cash flowsEXCEPT: _ accelerateddepreciation _ salvage value _ tax ratechanges _ method of projectfinancing used In proper...
-
For Problem estimate the change in y for the given change in x. y = f(x), f'(12) = 30, x increases from 12 to 12.2
-
Multiply in the indicated base. 1112 x 1012
-
Evaluate the expression. Assume x 0. (a) (2 3 ) 2 (b) (3 2 ) 3
-
Use Table 9.1 to determine the sum in clock 12 arithmetic. Table 9.1: (8 + 7) + 6 3 10 11 12 9. 10 11 12 1 2 3 4. 9. 10 11 12 1 3 4 8. 9. 10 11 12 1 4 9. 10 11 12 1 2 4. 8. 9. 10 11 12 1 3 6. 8. 9....
-
Michael Roberts is a cost accountant and business analyst for Darby Design Company (DDC), which manufactures expensive brass doorknobs. DDC uses two direct-cost categories: direct materials and...
-
Omegas Fleet Feet, Inc., produces dance shoes for stores all over the world. While the pairs of shoes are boxed individually, they are crated and shipped in batches. The shipping department records...
-
The Zeta Company manufactures trendy, good-looking, moderately priced umbrellas. As Zetas senior financial analyst, you are asked to recommend a method of inventory costing. The CFO will use your...
Study smarter with the SolutionInn App