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Find the area of the region that lies inside the first curve and outside the second curve.
r = 1 + cos(θ), r = 2 − cos(θ)
5 answers
asked by
Tayb
5,114 views
let theta be an angle of quadrant IV such that sin theta = -8/9 find the exact value of sec theta and cot theta?
5 answers
asked by
JOHNNY
5,578 views
1. Let C(t) be the number of cougars on an island at time t years (where t > 0). The number of cougars is increasing at a rate
5 answers
asked by
Jeremy
2,555 views
If x = 18cos^3θ and y = 18sin^3θ, find the total length of the curve swept out by the point (x,y) as θ ranges from 0 to 2π.
4 answers
asked by
Sam
2,776 views
determine if the series converges or diverges:
1/(ksqrt(k^2+1)) from k = 1 to infinity
6 answers
asked by
anonymous
1,037 views
A farmer wants to make three identical rectangular enclosures along a straight river, as in the diagram shown below. If he has
4 answers
asked by
gloria
2,512 views
A group of engineers is building a parabolic satellite dish whose shape will be formed by rotating the curve y=ax^2 about the
3 answers
asked by
Sam
1,476 views
Find the length of the curve defined by the parametric equations x = 2/3t,
y = 2ln((t/3)^2−1) from t =6 to t =7.
4 answers
asked by
Sam
1,223 views
The distance (in feet) of an object from a point is given by s(t)=3t2−5, where t is in seconds. Round your answer to two
4 answers
asked by
ANonymous
1,201 views
If C(x) = 13000 + 600x − 1.8x^2 + 0.004x^3 is the cost function and
p(x) = 4200 − 6x is the demand function, find the level
2 answers
asked by
Grace
263 views
Use implicit differentiation to find an equation of the tangent line to the curve 3xy^3+4xy=63 at the point (9,1)(9,1).
3 answers
asked by
gloria
835 views
Notice that the curve given by the parametric equations x=25−t^2 y=t^3−16t is symmetric about the
x-axis. (If t gives us the
4 answers
asked by
Sam
6,080 views
One bicycle is east of an intersection , and it is travelling towards the intersection of 9 miles per hour. at the same time a
4 answers
asked by
uGinn
1,639 views
1. Find the volume V obtained by rotating the region bounded by the curves about the given axis.
y = sin(x), y = 0, π/2 ≤ x
4 answers
asked by
Anonymous
4,503 views
A street light is at the top of a 27 ft pole. A 6 ft tall girl walks along a straight path away from the pole with a speed of 8
3 answers
asked by
Charles
1,399 views
use implicit differentiation to find dz/dx
given: x^2+zsin(xyz)=0
4 answers
asked by
anonymous
955 views
find the total differential: u=sqrt(x^2+3y^2)
4 answers
asked by
anonymous
533 views
Find the domain of the variable x for which the following equation determine y as a real function of x.
y - xy = 5
2 answers
asked by
nabs
528 views
A spherical balloon is inflated so that its volume is increasing at the rate of 3.2 ft3/min. How rapidly is the diameter of the
2 answers
asked by
gloria
1,166 views
find the limit without using L'Hopital's Rule
Lim(X->-4) (16-x^2 / x+4)
2 answers
asked by
jaime
515 views
One litre of water at 0 degrees Celsius will have a different volume at higher temperatures. For a temperature 0 ≤ T ≤ 30
2 answers
asked by
Mable
612 views
Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the
2 answers
asked by
Sam
524 views
Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the
1 answer
asked by
Sam
483 views
Find the area of the region between the curves y = x^2 and y = 2/(x^2+1).
1 answer
asked by
Sam
301 views
The base of a certain solid is the triangle with vertices at (−6,3), (3,3), and the origin. Cross-sections perpendicular to
3 answers
asked by
Sam
1,687 views
w(t)= f(t)/(c+t)
w'(t)=? I got f'(t)(c+t)-f(t)/(c+t)^2 as the derivative and I'm having a hard time trying to prove that f(t_0) =
3 answers
asked by
Mable
330 views
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. x = 1−y^4,
2 answers
asked by
Sam
761 views
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. x+y = 3, x =
2 answers
asked by
Sam
1,065 views
To find the length of the curve defined by y = 5x^3+9x from the point (-3,-162) to the point (1,14), you’d have to compute
2 answers
asked by
Sam
550 views
You are visiting your friend Fabio’s house. You find that, as a joke, he filled his swimming pool with Kool-Aid, which
3 answers
asked by
Sam
1,442 views
In electrical engineering, a continuous function like f(t)=sin(t), where t is in seconds, is referred to as an analog signal. To
4 answers
asked by
Sam
1,984 views
If y satisfies y′′ =4, y′(1)=10,and y(1)=6,what is y?
1 answer
asked by
melina
286 views
dy/dt = 2y^(1/2) y(0)= 2
What is Euler's method for computing yk+1 from yk with step size delta t when yo= 10
1 answer
asked by
melina
457 views
y' = 2y(1/2) , y(0) = 8
The function starts with y0 = 4 ,what is Euler’s method for computing yk+1 from yk with step size ∆t.
1 answer
asked by
melina
390 views
Find the derivative of (3x+17)^13 (14x+6)^11x^-4/5 / (20x +3)^-9
using logarithmic differentiation. Assume x > 0.
2 answers
asked by
Anonymous
457 views
y=-sin^2 (1/x)
find the derivative
1 answer
asked by
melina
307 views
Approximate the value of the series to within an error of at most 10^−5.
The infinite series from n=1 to infinity
2 answers
asked by
Sam
1,007 views
In this problem, you will investigate the error in the nth degree Taylor approximation to ln(x+1) about 0 for various values of
1 answer
asked by
Sam
596 views
Consider the curve defined by the equation y = 4x^3 +3x. Set up an integral that represents the length of curve from the point
3 answers
asked by
Sam
1,578 views
priya decides to go to the store which is 8km from her house. she first ran at a rate of 7km/h then walked the rest of the trip
2 answers
asked by
mike
608 views
Evaluate the double integral ∫∫ y dA over D, where
D is the top half of the disk with center the origin and radius 5?
3 answers
asked by
Sam
630 views
A spherical balloon , initially inflated to a volume of over 30000 cubic meters, springs a leak which causes the radius to
2 answers
asked by
Help please
565 views
if cos of theta= -4/5 and tan of theta > 0, find sin of theta
2 answers
asked by
tom
637 views
3cotx - radical 3 = 0
solve for x please show it step by step
7 answers
asked by
tom
706 views
A water trough is 8m long and its cross-section is an isosceles triangle which is 60cm wide at the top, and the height is 60cm.
2 answers
asked by
Teresa
891 views
y= x / (x^2+x)
what are the discontinuities on this graph ?
3 answers
asked by
rod
507 views
f(x)= 1/4 * (sin2x)^2
find dy/dx d/dx (1/4 * (sin2x)^2)= (sin2xcos2x)/ 2 ?
3 answers
asked by
tom
369 views
determine where f is continous. if possible extend f to a new function that is continous on a larger domain
1. f(x)=4x/x^2-1 2.
1 answer
asked by
haifa
418 views
What is the weight density of water?
1 answer
asked by
Rash
345 views
Let g(x)=(3x+x^2)(2+e^(x−1)). Find g′(1)
So I found the derivative (2x+3)(e^(x−1)+2)+(x^2+3x)e^(x−1) I tried plugging in
3 answers
asked by
sal
332 views
Define a function f(x)= {(x^2-9)/(x-3), if x≠3,
{c, if x=3 What value of c makes f continuous at x=3? Is the answer 1?
3 answers
asked by
sal
307 views
Find
limx→∞ e^−x = 1/e So would the answer be 0?
1 answer
asked by
sal
421 views
Take the second derivative of 2sin2(x) and evaluate it at x=π/3.
So I got the second derivative, -8sin(2x) How do I solve plug
3 answers
asked by
sal
415 views
Find the slope of the tangent line to the curve x^2+y^3=5x^2y+5 at the point (1,−1).
Please help!
3 answers
asked by
sal
602 views
You are making a rectangle from two horizontal rods and two vertical rods. Horizontal rods cost $3 per foot and vertical rods
3 answers
asked by
sal
437 views
Determine whether y is differentiable at x=0 . If it is differentiable, find the derivative at x=0 .
y = {x if x<= 0, x+1 if x>0}
1 answer
asked by
Anonymous
445 views
evaluate the improper interval with an interior discontinuity
dx/x^3 from -1 to 2
3 answers
asked by
tom
357 views
Find the volume of the solid obtained by rotating the region in the first quadrant enclosed by the curves y= tanx and y=2cosx
4 answers
asked by
tom
1,083 views
sum of the geometric series (2 - 3^n) / 5^n
whats a and r?
9 answers
asked by
tom
445 views
To get a better look at the graph, you can click on it.
Find a function of the form f(x)=A sin(B[x−C])+D whose graph is the
4 answers
asked by
Beheshta Ismat
2,284 views
The table below gives the height h=f(t) in feet of a weight on a spring where t is time in seconds.
t (sec) 0 2 4 6 8 10 12 14 16
4 answers
asked by
Beheshta Ismat
1,735 views
f ''(x) = 20x3 + 12x2 + 10, f(0) = 7, f(1) = 9
2 answers
asked by
shokri
1,071 views
"--> ibb.co/Xsd01qH"
included a picture of the question. 1. My answer would be 1,2,3,4 2. When and where they occur: between 1-4
4 answers
asked by
apollo_04
321 views
let f(x) =ax^3+bx^2+cx+d. Determine the values of A,b,c and d if f(x) has a point of inflection at (0,2) and a local maximum at
1 answer
asked by
Anna
405 views
A manufacturing company sells high quality jackets through a chain of specialty shops. the demand equation for this jackets is
p
2 answers
asked by
Connie
985 views
During the Christmas season a promotional company purchases cheap red felt stockings, glues fake white fur and sequins onto them
2 answers
asked by
Connie
599 views
During the Christmas season a promotional company purchases cheap red felt stockings, glues fake white fur and sequins onto them
1 answer
asked by
Connie
239 views
A manufacturing company sells high quality jackets through a chain of specialty shops. the demand equation for this jackets is
p
2 answers
asked by
Connie
526 views
Find the area enclosed by the following parametric curves and the x−axis. Find its exact area, no decimals.
{x = 9e^t y= 6t-t^2
2 answers
asked by
anonymous
544 views
Oil Production Based on a preliminary report by a geological survey team, it is estimated that a newly discovered oil field can
1 answer
asked by
Alexis
366 views
find the tangent to the curve given by the parametric equations:
x=1/t y=sqrt(t)e^(-t)
2 answers
asked by
helppls
575 views
find the equation of the tangent line to the curve at the given point by eliminating the parameter:
x=1+sqrt(t) y=e^(t^2)
2 answers
asked by
helppls!!!!
465 views
prove |uxv| = |u||v|sin theta
1 answer
asked by
anonymous
279 views
Find a plane containing the point (4, 4, 8) and the line of intersection of the planes 6x + 7y + 7z = 41 and - 3x - y + 7z = 0
1 answer
asked by
help
321 views
find the unit tangent for: 3ti+5t^2j+2tk
1 answer
asked by
anonymous
157 views
find the equation of the osculating plane at t=pi/4 on the curve: r(t)=cos(2t)i+sin(2t)j+tk
3 answers
asked by
anonymous
653 views
if given a certain value how would I find what angle does the unit tangent make with the x-axis?
7 answers
asked by
anonymous
357 views
For the function y=fx=√ 2x-5
Determine the average rate of change of y with respect to x from x=3 to x=5.
3 answers
asked by
amy
814 views
Find the dimensions of the rectangular box with the largest volume if the total surface area is given as 64 cm^2.
3 answers
asked by
anonymous
1,263 views
Given the following functions: 𝑓(𝑥)=(𝑠𝑒𝑐(𝑥)); g(x)=x^4+5
d/dx f(g(x))= d/dx g(f(x))=
1 answer
asked by
Anonymous
143 views
Determine whether the following sequences converge or diverge. Justify your answers (show why)
1. a(n) = (e^n)/(3^n) 2. a(n) =
2 answers
asked by
anonymous
530 views
use the integral test to determine whether the series is convergent or divergent: n^2/e^n
4 answers
asked by
anonymous
963 views
Find y' if
y = ln(5x^2 + 9y^2).
1 answer
asked by
Sam
265 views
find the derivative of the functions F(x)= tan^2(x) and G(x) = sec^2(x).... based on your calculations what can you say about
1 answer
asked by
Anonymous
282 views
Find the equation of the tangent line to y=f(x) at the point where at x=3.
f(x)=-4x^3-5x+7
1 answer
asked by
sandy
203 views
determine de value of dy/dx for the given value
a) y=(x^3)(3x+7)^2, x=-2 b) y= (2x+1)^5(3x+2)^4, x=-1 i know how to get the
4 answers
asked by
lana
254 views
Find the volume of the solid whose base is the region in the first quadrant bounded by y=x^5, y=1 and the y-axis and whose cross
13 answers
asked by
sara
1,031 views
Find the interval(s) where the function is increasing and the interval(s) where it is decreasing. (Enter your answers using
3 answers
asked by
sam
391 views
A snowball melts in such a way that its diameter is constantly decreasing at a rate of 0.3
cm/min Find the rate of change of the
1 answer
asked by
Grecia
182 views
The area of a triangle is growing at a rate of 4 cm2/min. If the height of this triangle is always twice the base, find
1 answer
asked by
Grace
264 views
The top and bottom margins of a poster are 3 cm and the margins on the sides are 2 cm. If the print area on the poster is set to
1 answer
asked by
Grace
355 views
The profit P (in thousands of dollars) for a company that spends an amount s (in thousands of dollars) on advertising is P = −
3 answers
asked by
Mary
368 views
The linear density in a rod √3 meters long is (12/(1+x^2)) kg/m, where x is measured in meters from one end of the rod. Find
1 answer
asked by
revan
316 views
find the volume of the solid formed by rotating region enclosed by:
y=e^3x , y=0, x=0, x=0.1 about the y-axis. volume =?
1 answer
asked by
monica
137 views
∞
∑ 14/9^n n=1 Determine whether the series converges, and if it converges, determine its value.
1 answer
asked by
Monica
89 views
∫ e^-x / 4-e^-2x dx
answer: ________+C
4 answers
asked by
Monica
102 views
∫(e^-x)/ (4-e^(-2x)) dx
the answer = 1/4 ln|4-e^-2x| + C seems to be wrong... I am not sure why though
4 answers
asked by
Monica
137 views
∫(e^-x)/ (4-e^(-2x)) dx
The integral is solved as = (1/4)( ln(2 + e^-x) - ln(2 - e^-x) ) + C but when I submit it it says that
4 answers
asked by
Monica
157 views
A circle is inside a square.
The radius of the circle is decreasing at a rate of 4 meters per day and the sides of the square are
2 answers
asked by
Lisa
96 views
what is the derivative of 5x^2+10x+25 * 35x^2
1 answer
asked by
bx1
76 views
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