Reference no: EM131072890
1. The velocity of a car after t seconds is 20-2t feet per second. (a) How many seconds does it take for the car to come to a stop (velocity = 0)? (b) How far does the car travel while coming to a stop? (c) How many seconds does it take the car to travel half the distance in part (b)?
2. Let A(x) = 1∫x √(cos2t+1) dt, find A'(x) at x=0,and π/2.
3. Evaluate the following definite integrals:
(a) -1∫2(-3x2 + 6x + 2)dx
(b) 1∫9√x dx
4. Evaluate the following indefinite integrals.
(a) ∫(-4x3 + e3x - √2) dx
(b) ∫(x2 - 2)(x3 + 2) dx
5. Evaluate the integrals by making appropriate substitutions.
(a) ∫x√(3x2+4) dx
(b) ∫cos3x sinx dx
6. Find the area between the graphs of f(x) = 4 - x2, g(x) = x + 2, on the interval 0 ≤ x ≤ 2.
7. Find the area of the closed region bounded above by the graph of f(x) = 2 - x2 and below by the graph of g(x) = - 2.
|
What do you think our obligation as a society is preschool
: what do you think our obligation as a society is concerning preschool? Consider the following questions: Should it be compulsory?
|
|
List at least one holistic nursing intervention you will use
: List at least one holistic nursing intervention you will use to achieve the outcome for each of the nursing diagnoses listed on your plan. Provide supporting rationale for each chosen intervention.
|
|
Case on change competency
: Sir Richard Branson, founder and chairman of the Londonbased Virgin Group Ltd., has turned a lifelong disdain for conventional business wisdom into a multibillion-dollar global conglomerate and one of the world's most recognizable brands.
|
|
Why is medication the first line of defense
: Why is medication the first line of defense in many situations? Is it because these substances are so much more effective? Let's consider what some of the research states regarding treatment of GAD as an example.
|
|
Find the area between the graphs
: Find the area between the graphs of f(x) = 4 - x2, g(x) = x + 2, on the interval 0 ≤ x ≤ 2. Find the area of the closed region bounded above by the graph of f(x) = 2 - x2 and below by the graph of g(x) = - 2
|
|
Sociological elements account for a serial killers behavior
: In your own opinion, what biological, psychological, and/or sociological elements account for a serial killer's behavior or actions across cultures?
|
|
Which theory of motivation is the best fit
: You may also sense that some of the theories may not specifically apply to you. Given that introduction, which theory of motivation is the best fit for describing your behavior?
|
|
Contrast utilitarian and deontological approaches
: Contrast utilitarian and deontological approaches to a dilemma involving a potential employee liberally enhancing (lying on) her resume.
|
|
Define counselor competence
: Define counselor competence in your own words. How is counselor competence addressed in both the professional ethical standards and in your own state's laws?
|