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Modeling Cost An electricity company charges its customers a base rate of $10 a month, plus 6 cents per kilowatt-hour (kWh) for
1 answer
asked by
Sarah
384 views
Linear Modeling The monthly cost of driving a car depends on the number of miles driven. Lynn found that in May it cost her $380
1 answer
asked by
Sarah
233 views
What is the range of π(π₯)=5+β2+7x?
**the 2+7x is entirely under radical**
2 answers
asked by
Sarah
163 views
The rat population in a major metropolitan city is given by the formula n(t)=82e^0.025t where t is measured in years since 1990
4 answers
asked by
Sarah
390 views
lim (2(lny)^2 + lny β 1)/(2 lny β 1)
yββe
2 answers
asked by
Emily
150 views
Find dx/dt when x=1, y=0 and dy/dt=2 for the equation x^2+2xy+y^2=1.
I have 2xdx/dt + 2xdy/dt + 2ydy/dt + 2ydy/dt = 0 and -2 as
1 answer
asked by
lizzy
293 views
A baseball diamond is a square with sides of length 90 ft. A batter hits the ball and runs toward first base with a speed of 22
1 answer
asked by
Anonymous
365 views
A television camera is positioned 4000 ft from the base of a rocket launching pad. The angle of elevation of the camera has to
3 answers
asked by
Anonymous
779 views
A street light is at the top of a 13 foot tall pole. A 6 foot tall woman walks away from the pole with a speed of 8 ft/sec along
3 answers
asked by
Anonymous
388 views
A spherical balloon is inflated so that its volume is increasing at the rate of 2.9 ft3/min. How rapidly is the diameter of the
1 answer
asked by
Anonymous
387 views
A street light is at the top of a 13 foot tall pole. A 6 foot tall woman walks away from the pole with a speed of 8 ft/sec along
1 answer
asked by
Anonymous
254 views
Find critical number of the function π(π₯)=11π₯lnπ₯
1 answer
asked by
Anonymous
168 views
Find all critical values for the function
π(π₯)=π₯π4π₯ and then list them (separated by commas) in the box below.
1 answer
asked by
Anonymous
172 views
Find all critical numbers for the function
π(π₯)=π₯15βπ₯β45 and then list them (separated by commas) in the box
1 answer
asked by
Anonymous
253 views
π(π₯)=3β3π₯2,β5β€π₯β€2
The absolute maximum value is and this occurs at π₯ equals The absolute minimum value is
1 answer
asked by
Anonymous
177 views
(1 point) Consider the function π(π₯)=7β6π₯2 on the interval [β6,3]
(A) Find the average or mean slope of the function
1 answer
asked by
Anonymous
211 views
Find a point π satisfying the conclusion of the Mean Value Theorem for the function π(π₯)=π₯^(β1) on the interval
1 answer
asked by
Anonymous
165 views
π(π₯)=β2π₯3+42π₯2β270π₯+6
For this function there are three important intervals: (ββ,π΄) and (π΅,β)
1 answer
asked by
Anonymous
283 views
Consider the following system of three equations:
3x+5y+6z=0 x+y+4z=0 3x+3y+12z=0 this system has no solution, infinitely many
1 answer
asked by
Anonymous
159 views
Are the planes represented by the equations x+4yβ5z=18 and 2x+8yβ10z=45 the same plane, different planes or neither?
2 answers
asked by
Anonymous
141 views
An open box is to be made by cutting squares of the same size
from the corners of a 12 cm by 12 cm square piece of cardboard and
1 answer
asked by
tawanda
101 views
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.
y = 27x3, y
4 answers
asked by
bbb
84 views
Let x2 + y2 = 122y.
First find dy dx by implicit differentiation, simplifying the answer where reasonable. Then find an equation
1 answer
asked by
Anonymous
105 views
Let P(t) be the population of Colorado, in millions, t years after 2000, with P(3) =4.55 and P(9) =5.02
1a) Find a formula for
1 answer
asked by
ashe
116 views
Fill in the blank with βallβ, βnoβ, or βsomeβ to make the following statements true. Note that βsomeβ means one
1 answer
asked by
nikko
89 views
Consider a window the shape of which is a rectangle of height h surmounted by a triangle having a height T that is 1.3 times the
2 answers
asked by
Anonymous
133 views
Calculate the following definite integrals:
(a)β«1/x^3βx dx (b)β«2 βx/x^2+ x dx (c)β«sin(x)/1 βcos^2(x) dx
1 answer
asked by
Anonymous
91 views
For each of the following, indicate which integration techniques
you would use to evaluate the integral. You might might need to
1 answer
asked by
Anonymous
92 views
Calculate the following definite integrals:
(a)β«x cos(x) dx (b)β«x ln(x) dx (c)β«xeβx^2dx Notice that this last integral
2 answers
asked by
Anonymous
105 views
The base of a solid is a circle with radius 6. Each cross section perpendicular to a fixed diameter of the base is semicircular.
4 answers
asked by
bill
94 views
Let f (x) = 6x and g(x) = x^2 + 3x, and let R be the bounded region between the graphs of f and g. Set up an integral to find
2 answers
asked by
bill
96 views
Use the result of Exercise 37 in Section 6.1 (or the exercise above if your answer is correct) to find the volume V of the solid
2 answers
asked by
bill
112 views
Suppose a person pushes thumbtack that is 1/3 centimeter long into a bulletin board, and the force (in dynes) exerted when the
1 answer
asked by
bill
172 views
A region R is bounded by y= sqrt(x) and y = x^6. Set up the integral to find the volume V of the solid formed by rotating R
2 answers
asked by
bill
94 views
A rocket lifts off the pad at Cape Canaveral. According to Newton's Law of Gravitation, the force of gravity on the rocket is
1 answer
asked by
bill
273 views
A swimming pool has the shape of a right circular cylinder with radius 13 feet and height 10 feet. Suppose that the pool is full
2 answers
asked by
bill
123 views
Let C be parametrized by x = 3 sin2 t and y = 3 sin t cos t for 0 β€ t β€ π/2. Find the length L of C.
L =
4 answers
asked by
bill
114 views
Let f (x) = cos x and g(x) = sin x. Find the center of gravity (x, y) of the region between the graphs of f and g on [0,
4 answers
asked by
bill
118 views
Consider the curve C parametrized by
x = (t^2 + 1)/(t^2 β 1) and y = (2t)/(t^2 β 1) for all t in (ββ, β1 ) βͺ (β1,
1 answer
asked by
bill
79 views
Consider the curve C parametrized by
x = cos (8t) and y = sin (8t), for 0 β€ t β€ π/8 and traversed by a particle moving
4 answers
asked by
bill
140 views
The parametric equations x= 4 β 5 sin 3t and y = 2 + 5 cos 3t for 0 β€ t β€ π/6 represent a curve C.
Find the length L of
2 answers
asked by
bill
107 views
Assume that a population was 810 when t=0, and 3 years later it became 2079.
Assuming the population grows exponentially, write a
2 answers
asked by
jimmy
83 views
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