6,196 Answered Questions for the topic calculus

10d

#### Help with calculus problem please

The position function of a particle in rectilinear motion is given by s(t) = 2t3 - 21t2 + 60t + 3 for t ≥ 0 with t measured in seconds and s(t) measured in feet. Find the position and acceleration... more

10d

Evaluate the integral  .Options: x - 1 + ln|x| + C

10d

Evaluate  Options: -ln|1 - x3| + C sin-1(x3) + C

10d

Which of the following integrals cannot be evaluated using a simple substitution?Options:

10d

Evaluate the integral  . (4 points)Question 2 options: -2csc(5x)cot(5x) + C -10csc(5x)cot(5x) + C

10d

Evaluate the integral  Options:

10d

10d

#### Help please - integral evaluation

If f(x) and g(x) are continuous on [a, b], which one of the following would be false?Options:

10d

#### Help please - integral evaluation

Please evaluate the integral: Options: -sin(x) + C sin(x) + C None of these

10d

#### Help please - integral evaluation

Please evaluate  Options: x4 + 2x + C

10d

#### Help please - integral evaluation

Please evaluate the integral: Options: x4 + 2x3 - x + C

10d

Which of the following statements is/are true? I. If f '(x) > 0 on (a, b), then f(x) is increasing on [a, b].II. If f(a) = f(b), then there exists a number c in (a, b) such that f '(c) = 0.III.... more

10d

#### Help with Calculus

The side length of a rectangular box with a square base is increasing at the rate of 2 ft/sec, while the height is decreasing at the rate of 2 ft/sec. At what rate is the volume of the box changing... more

10d

#### Help with Calculus question

Given the relationship x2 + 3y2 =12, with y > 0 and  = 2 units/min., find the value of  at the instant y = 1 unit. Question options: 1)  units/min 2)   units/min 3)  -2 units/min 4)  0... more

10d

#### Interval of moving object

Given the position function,  , between t = 0 and t = 9, where s is given in feet and t is measured in seconds, find the interval in seconds where the particle is moving to the right.Question... more

10d

#### Finding velocity and acceleration

Given the position function s(t), s(t) = t3 - 5t, where s is measured in meters and t is in seconds, find the velocity and acceleration of the particle at t = 3 seconds.Question options: 1) 12... more

10d

#### Function zero problem

find all rational zeros of this functionf(x) = 3x4 + 16x3 - 59x2 - 400x - 400

10d

#### Rational Zeros of Function

find all the rational zeros of these functionsx3 - 10x2 + 23x - 14x3 + 6x2 + 9x + 4

10d

4, -5i 4, 7 + i

10d

#### Find all zeros of the functions

What are all the zeros of these two functions?x(x-3)2(x-3)(x+9)3

10d

#### Minima or Maxima

Approximate (to two decimal places) any relative minima or maxima f(x) = 3x2 - 2x - 5 f(x) = x3 - 3x2 - x + 1 f(x) = x(x-2)(x+3)

11d

#### Which of the following relations are functions

Which of the following relations are functions 1. y= -x + 22. x= -y + 23. x - y = 2Answer choicesA. All of themB. Choice 1 onlyC. Choice 2 onlyD. Choice 3 only

11d

#### Pair of functions that satisfies the limit

For which pair of functions f(x) and g(x) below will the  ?Question options: 1) f(x) = ex; g(x) = x3 2)  f(x) = x5; g(x) = ex 3)  f(x) = x3; g(x) = ln(x) 4)  f(x) = x-2; g(x) = e-x more

11d

#### Need help with the mean value theorem

If f(x) = |(x2 - 6)(x2 + 2)|, how many numbers in the interval 1 ≤ x ≤ 2 satisfy the conclusion of the mean value theorem?Question options: 1) None 2)  One 3)  Two 4)  Three

11d