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Calculus
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Questions (17,699)
Fill in the blanks using the function below to describe the end behavior.
As x approaches - ∞, f(x) approaches _ a. infinity b.
1 answer
asked anonymously
49 views
Spud McTator climbs his sailboat's mast while anchored. He fires his potato gun. The height of the potato above the ocean is
1 answer
asked by
help :)
417 views
Under what conditions for f'(x) and f''(X) can a graph be " straight" wthout being horizontal?
1 answer
asked by
gINa
319 views
Which of the following functions is continuous but not differentiable at x = 1?
Functions: I.y=3√x-1 II.y={x^2,x≤1 2x,x>1
5 answers
asked by
Racquel
4,230 views
The slope of the tangent line to the graph y= x^3/3-x at the point (1, -2/3)
So I plugged this into y= and I found the (1,-2/3)
5 answers
asked by
Arnold
1,643 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
15 answers
asked by
Mishaka
3,830 views
g'(x)=tan(2/1+x^2)
Let g be the function with first derivative given above and g(1)=5. If f is the function defined by
4 answers
asked by
Will
2,570 views
the integral from 2 to 3 of 1 divided by the quantity 3 times x minus 2, dx is equal to the integral from 4 to 7 of 1 divided by
5 answers
asked by
Ella
2,238 views
The slope of the tangent line to a curve at any point (x, y) on the curve is x divided by y. What is the equation of the curve
5 answers
asked by
Anonymous
1,470 views
The ordering and transportation cost C for components used in a manufacturing process is approximated by the function below,
4 answers
asked by
Karen
6,365 views
Let r(t) = < sin(6t), cos(6t), sin(6t)cos(12t) >.
Find the point where r(t) intersects the xy-plane on the interval π/6 < t <
4 answers
asked by
EKM
2,306 views
. A container in the shape of a right circular cone of height 10cm and base radius 1cm is
catching water from a tap leaking at
4 answers
asked by
tom
1,785 views
The rate at which water flows into a tank, in gallons per hour, is given by a differentiable, increasing function R of time t.
4 answers
asked by
Kailey
3,192 views
1. For f(x)=sin^(2)x and g(x)=0.5x^2 on the interval
[-pi/2,pi/2], the instantaneous rate of change of f is greater than the
5 answers
asked by
Jacke
2,834 views
Okay, I need major help! Can someone tell me if these statements are true or false ASAP please. Thank you.
1. If ƒ′(x) < 0
9 answers
asked by
Veronica
4,267 views
R is the region below the curve y=x and above the z-axis from x=0 to x=b, where b is a positive constant. S is the region below
4 answers
asked by
Will
788 views
A certain computer algorithm used to solve very complicated differential equations uses an iterative method. That is, the
7 answers
asked by
bee
1,383 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
6 answers
asked by
Mishaka
4,112 views
Find the coordinates of the point on the curve y = x
3 − 3x 2 + 6x + 2 at which the gradient is 3
4 answers
asked by
DanishHakim
1,754 views
find the stationary point of the function
z=4x^2+10xy+4y^2-x^2y^2 and also determine their nature plz show me step i don't know
3 answers
asked by
samara
1,602 views
(Re-posting because I think the first one got lost in all the questions)
This isn't a test or assignment, it's a review for
3 answers
asked by
Rose
2,315 views
if sin(xy)=x, then dy/dx=
5 answers
asked by
Anonymous
11,799 views
Let f be the function given by f(x) = tan x and let g be the function given by g(x) = x^2. At what value of x in the interval
4 answers
asked by
Erica
6,592 views
Let R be the region bounded by the x-axis and the graph of y=6x-x^2 Find the volume of the solid generated when R is revolved
5 answers
asked by
Kelsey
2,130 views
State two intervals in which the function y=7sin(1/5x)+2 has an average rate of change that is:
a) zero b)a negative value c)a
5 answers
asked by
linda
2,495 views
Use Taylor series expansions (zero through fourth order) to predict f (2) for f (x) = ln(x) with a
base point at x = 1. Determine
4 answers
asked by
jessy
4,943 views
At any time t=>0 , in days, the rate of growth of a bacteria population is given by y' = ky, where y is the number of bacteria
4 answers
asked by
Rachel
3,127 views
1. Which of the following functions grows the fastest as x goes to infinity?
- 2^x - 3^x - e^x (my answer) - x^20 2. Compare the
3 answers
asked by
Deondre
7,003 views
Linear approximation:
Consider the curve defined by -8x^2 + 5xy + y^3 = -149 a. find dy/dx b. write an equation for the tangent
4 answers
asked by
Katie G
3,364 views
evaluate the surface integral
double integral (y dS) z= 2/3 (x^3/2 + y^3/2) 0 ≤ x ≤ 5, 0 ≤ y ≤ 2
4 answers
asked by
sara
2,723 views
1) The average value of the function g(x) = 3^cos x on the closed interval [ − pi , 0 ] is:
2)The change in the momentum of an
4 answers
asked by
ReviewDay :(
2,849 views
How do you do this?
Find the volume generated by revolving the area bounded by the ellipse(x^2)/9 + (y^2)/4 = 1 about the line
4 answers
asked by
Rin
4,665 views
let f be the function defined by f(x)=3X^5 -5X^3 +2
a) on what interval is f increasing? b) on what interval is the graph of f
6 answers
asked by
Yoona
4,110 views
Find the absolute maximum and absolute minimum values, if any, of the function. (If an answer does not exist, enter DNE.)
h(x) =
4 answers
asked by
Jacob
4,536 views
1) If x = rcos theta and y = r sin theta, show that partial r / partial x = cos theta and find partial theta / partial x.
2) If z
4 answers
asked by
Claire
12,666 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)
4 answers
asked by
Mishaka
2,523 views
A function f(x) is continuous for all x and has a local minimum at (1,8). Which must be true?
A. f'(1)=0 B. f' exists at x=1 C.
4 answers
asked by
Anonymous
1,688 views
Suppose f(x) = 4x^5-(1/x^4)
Find the slope of the tangent line to the graph of y = f^–1(x) at (3, 1). You get: 1/24 1/16 00062
5 answers
asked by
Thomas
2,697 views
Let r(t) be a differentiable function that is positive and increasing. The rate of increase of r^3 is equal to 12 times the rate
4 answers
asked by
Mike
2,042 views
dy/dx+tanx tany=cosx secy
5 answers
asked by
Karthi
4,445 views
a light is hung 15 feet above a straight horizontal path. If a man is 6 feet tall is walking away from the light at a rate of 5
4 answers
asked by
tante
4,575 views
The gradient of a curve is defined by
dy/dx = 3x^(1/2) - 6 Given the point (9, 2) lies on the curve, find the equation of the
4 answers
asked by
James
2,843 views
Does the following infinite geometric series diverge or converge? Explain.
3 + 9 + 27 + 81 + . . . A) It diverges; it does not
10 answers
asked by
M, S, E,
4,701 views
if 4x^2+8xy+9y^2-8x-24y+4=0 show that when dy/dx=0, x+y=1 and d^2y/dx^2=4/(8-5y) hence find the maximum and minimum values of y
p
5 answers
asked by
...
2,477 views
The line x=c is a veritcal asymptote of the graph of the function f Which of the following statements cannot be true?
A. Lim as x
5 answers
asked by
Anonymous
2,337 views
If a ball is thrown into the air with a velocity of 30m/s, its height in metres after t seconds is given by y=30t-4.9t^2
Fing the
4 answers
asked by
sh
2,405 views
The Cost (in dollars) of producing x units of a certain commodity is C(x) = 500 + 10x + 0.005x
2 i. Find the average rate of
5 answers
asked by
Joxen
3,131 views
Consider the equation x^2y+3y^3=24
Find dy/dx I got -2xy/x^2+9y^2 The next question is Determine the points, if any where the
6 answers
asked by
Anonymous
2,717 views
y = x^2
y = 6 - x Find the area of the region by integrating (a) with respect to x and (b) with respect to y.
1 answer
asked by
Erica
470 views
The velocity function, in feet per second, is given for a particle moving along a straight line.
v(t) = t3 − 10t2 + 27t − 18,
6 answers
asked by
Ian
2,226 views
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