Questions and answers by

Mishaka

Questions (63)

A cylindrical oil storage tank 12 feet in diameter and 17feet long is lying on its side. Suppose the tank is half full of oil
1. 1 answer
2. 1,153 views
A cylindrical oil storage tank 12 feet in diameter and 17feet long is lying on its side. Suppose the tank is half full of oil
1. 4 answers
2. 5,358 views
Recall that work is defined to be force times distance, and that the weight (force) of a liquid is equal to its volume times its
1. 2 answers
2. 2,427 views
Using the trapezoid rule with n = 8 to approximate the arc length of the graph of y = 2x^3 - 2x + 1 from A(0,1) to B(2,13) you
1. 0 answers
2. 941 views
Using the trapezoid rule with n = 8 to approximate the arc length of the graph of y = 2x^3 - 2x + 1 from A(0,1) to B(2,13) you
1. 1 answer
2. 2,084 views
In Seattle on September 30, the temperature hours after midnight was given by the function y=60 + 12sin((pi/x)(x-11))What was
1. 1 answer
2. 1,411 views
How many definite integrals would be required to represent the area of the region enclosed by the curves y=(cos^2(x))(sin(x))
1. 3 answers
2. 2,421 views
Find the area of the region IN THE FIRST QUADRANT (upper right quadrant) bounded by the curves y=sin(x)cos(x)^2, y=2xcos(x^2)
1. 1 answer
2. 2,627 views
Find the area of the region IN THE FIRST QUADRANT (upper right quadrant) bounded by the curves y=sin(x)cos(x)^2, y=2xcos(x^2)
1. 3 answers
2. 1,968 views
Find the area of the region bounded by the curves y=x^(-1/2), y=x^(-2), y=1 and y=3.You get: a.) 1/2(sqrt(3)) + 4/3 b.)
1. 2 answers
2. 665 views
Find the area of the region bounded by the curves y^2=x, y-4=x, y=-2 and y=1(Hint: You'll definitely have to sketch this one on
1. 4 answers
2. 2,457 views
Suppose f(x) is a continuous function. Then a function F(x) such that F'(x) = f(x) is called:A.) the indefinite integral of f
1. 1 answer
2. 812 views
Evaluate the following expression:d/dx (integration sign: upper=1 and lower= -3) (2t^3 + 3)dt = I am given the following
1. 3 answers
2. 489 views
Evaluate the following expression:d/dx (integration sign: upper=1 and lower= -3) (2t^3 + 3)dt = I am given the following
1. 1 answer
2. 572 views
Evaluate the following expression:d/dx (integration sign: upper=1 and lower= -3) (2t^3 + 3)dt = I am given the following
1. 0 answers
2. 601 views
What is the antiderivative of the followring expression?x^(-1/2) sin(2x^(-3/2)) After trying to figure out this problem, I have
1. 5 answers
2. 854 views
What is the antiderivative of the following expression?3x(x^2 + 7)^3
1. 1 answer
2. 525 views
What is the antiderivative of?(x^2 - 4) / (x - 2)
1. 2 answers
2. 695 views
A man carries a 10 kg sack of groceries in his arms with a force of 50 N as he walks forward a distance of 10 m. How much work
1. 2 answers
2. 1,323 views
The radius, r, of a sphere is increasing at a constant rate of 0.05 meters per second.A. At the time when the radius of the
1. 5 answers
2. 4,268 views
A piece of elastic is attached to two nails on a flat board, with a button attached to the midpoint of the elastic. The nails
1. 6 answers
2. 4,986 views
A man 2 meters tall walks at the rate of 2 meters per second toward a streetlight that's 5 meters above the ground. At what rate
1. 2 answers
2. 7,384 views
Use tangent line approximation to derive an estimate for (1 + x)n , when x is near 0, and n is any real number.
1. 2 answers
2. 2,669 views
The slope of the line normal to the graph of 4 sin x + 9 cos y = 9 at the point (pi, 0) is:Derivative: 4cosx - 9siny(dy/dx) = 0
1. 15 answers
2. 4,000 views
Find the point on the graph of y = x^2 + 1 that’s closest to the point 8, 1.5. Hint: Remember the distance formula.
1. 3 answers
2. 6,334 views
A rectangular piece of cardboard, 8 inches by 14 inches, is used to make an open top box by cutting out a small square from each
1. 13 answers
2. 4,159 views
Given a right circular cone, you put an upside-down cone inside it so that its vertex is at the center of the base of the larger
1. 4 answers
2. 6,677 views
The U.S. Post Office will accept a box for shipment only if the sum of the length and girth (distance around) is at most 108
1. 6 answers
2. 6,801 views
An astronaut lands on an alien planet. He places a pendulum (L = 0.200 m) on the surface and sets it in simple harmonic motion.a
1. 1 answer
2. 1,183 views
An astronaut lands on an alien planet. He places a pendulum (L = 0.200 m) on the surface and sets it in simple harmonic motion.a
1. 1 answer
2. 1,236 views
True or False: Consider the following statement:A differentiable function must have a relative minimum between any two relative
1. 1 answer
2. 2,814 views
Suppose you know that f(x) is an odd functon on the domain of all real numbers and that the function is concave up on the
1. 2 answers
2. 2,802 views
I would just like to know if these sentences are grammatically sound.Esta es la receta para empanadas de pera de Chile. Estos
1. 1 answer
2. 579 views
Okay. So I am given a graph of a derivative. From what I can gather, it looks like the function might be abs(x-2)-4. (I was not
1. 9 answers
2. 2,780 views
Find the three zeros for the following function on the interval -5 </= x </= 5(1 + 50sin(x)) / (x^2 + 3)
1. 3 answers
2. 554 views
Find the three zeros for the following function on the interval -5 </= x </= 5(1 + 50sin(x)) / (x^2 + 3)
1. 4 answers
2. 810 views
Show the steps to get the derivative function of -500/x by evaluating the limit. By limit, they are referring to the equation,
1. 1 answer
2. 661 views
Okay, I know that the derivative functon of the function -500/x is 500/x^2, but I am having a hard time getting to this result
1. 0 answers
2. 540 views
Using the product rule, find the derivative of the following function:(x^1/2 cscx sinx).
1. 1 answer
2. 595 views
What is the derivative of the this functon?g(x) = -500/x, x cannot equal 0. I know that in order to fnd the derivative I need to
1. 3 answers
2. 1,013 views
Two particles are moving in straight lines. The displacement (in meters) of particle 1 is given by the function e^(4cos(t)) ,
1. 2 answers
2. 4,056 views
A tray of lasagna comes out of the oven at 200°F and is placed on a table where the surrounding room temperature is 70°F. The
1. 2 answers
2. 5,229 views
What is the error in this sentence?"Dr. Smith had argued that the cure for insomnia could be found in the seeds of apples, and
1. 10 answers
2. 1,024 views
If the following function is continuous, what is the value of a + b?f(x) = {3x^2 - 2x +1, if x < 0 a cos(x) + b, if 0 </= x </=
1. 2 answers
2. 4,027 views
If the following function is continuous, what is the value of a + b?f(x) = {3x^2 - 2x +1, if x < 0 a cos(x) + b, if 0 </= x </=
1. 1 answer
2. 675 views
Let f be defined as follows, where a does not = 0,f(x) = {(x^2 - 2a + a^2) / (x-a), if x does not = a 5, if x = a Which of the
1. 4 answers
2. 4,207 views
If g(x) is continuous for all real numbers and g(3) = -1, g(4) = 2, which of the following are necessarily true?I. g(x) = 1 at
1. 1 answer
2. 715 views
If g(x) is continuous for all real numbers and g(3) = -1, g(4) = 2, which of the following are necessarily true?I. g(x) = 1 at
1. 1 answer
2. 3,276 views
Let f be defined as follows, where a does not = 0,f(x) = {(x^2 - 2a + a^2) / (x-a), if x does not = a 5, if x = a Which of the
1. 0 answers
2. 413 views
Suppose f(x) = [sin(x^2 - 4)]^ -1. Identify any points of discontinuity, and determine (giving reasons) if they are removable,
1. 0 answers
2. 828 views
Suppose f(x) = [sin(x^2 - 4)]^ -1. Identify any points of discontinuity, and determine (giving reasons) if they are removable,
1. 1 answer
2. 2,700 views
Suppose,f(x) = { (x - 1)^2 / x + 1 if x < 2 (x^2 - 2x - 8)/(x - 4) if 2 </= x < 4 (1 / (x - 3)) + 5) if 4 </= x Identify any
1. 1 answer
2. 760 views
Suppose f(x) = [sin(x^2 - 4)]^ -1. Identify any points of discontinuity, and determine (giving reasons) if they are removable,
1. 3 answers
2. 1,053 views
Givenf(x) = (x^4 + 17) / (6x^2 + x - 1) Identify any points of discontinuity, and determine (giving reasons) if they are
1. 1 answer
2. 2,572 views
Supposeg(x) = { 1 / (x-2) if x < 1 2x - 3 if x >/= 1 The best description concerning the continuity of g(x) is that the function
1. 3 answers
2. 1,431 views
Supposeg(x) = { 1 / (x - 2) if x < 1 2x - 4 if x >/= 1 The best description concerning the continuity of g(x) is that the
1. 1 answer
2. 1,754 views
Supposeg(x) = { 1 / (x-2) if x < 1 2x - 3 if x >/= 1 The best description concerning the continuity of g(x) is that the function
1. 1 answer
2. 639 views
Cheryl runs a race on a 400.0 m circular track. She starts running east of the starting line and then circles the track and
1. 1 answer
2. 1,120 views
How many roots does the graph of this function have?4x^4 - 4^x I believe that it either has two or three roots.
1. 10 answers
2. 999 views
What is the limit of the function as x approaches infinity?(x^4 - 7x + 9) / (4 + 5x + x^3) From what I know, the limit should be
1. 1 answer
2. 568 views
What is the limit of the function as x approaches infinity?4x^4 - 4^x Would the limit be positive infinity or negative infinity?
1. 1 answer
2. 548 views
What is the limit of this function as x approaches 0?cos(x) - 1 / x From what I gather, the limit is equal to 0, since on the
1. 1 answer
2. 705 views
What is the limit of this function as x approaches infinity?2^x + x^3 / x^2 + 3^x
1. 1 answer
2. 484 views