60 Answered Questions for the topic AP Calc
01/06/18
How do I solve this? (question too long)
The top of a 15-foot-long ladder rests against a vertical wall with the bottom of the ladder on level ground, as shown above (it's just a ladder leaning against a wall). The ladder is sliding down...
more
Follows
•
2
Expert Answers
•1
![]()
10/18/17
Find the derivative using limit process. -3x+2. Find the slope when x=4
i know how to do the derivative part but I don't know what to do with the x=4
02/07/16
Calculus integration question
The rate of depreciation dV / dt of a machine is inversely proportional to the square of t + 1, where V is the value of the machine t years after it was purchased. The initial value of the machine...
more
Follows
•
2
Expert Answers
•1
![]()
02/07/16
Use the differential equation and the given point to find the equation of the function. (give your answer correct to three decimal points)
The given point is (-1,3).
The differential is dy/dx= -30/(4x+1)3
Follows
•
2
Expert Answers
•1
![]()
02/07/16
Find F as a function of x
The question states:
F(x)= int_1^x(t3+7t-6)dt
( F(x) is the integral of (t3+7t-6)dt from x to 1)
02/07/16
Determine the area under the given curve
The equation is 1/(x8). The limits are x=1 and x=2. I put this into my graphing calculator and it gave me an answer of 0.142 but the answer is not right apparently. Please help!
Follows
•
2
Expert Answers
•1
![]()
True or false. If true, why? If false, what is a counter example, and can you explain why it contradicts? Please
If f and g are differentiable and f(x)≤ g(x) on [a,b], then f'(x)≤g'(x) on [a,b]
Follows
•
3
Expert Answers
•2
![]()
True or false. If true, why? If false, what is a counter example, and can you explain why it contradicts? Please
If f and g continuous function on [a,b] then (upper: b, lower a)∫f(x)g(x)dx=[(upper: b, lower a)∫f(x)dx]*[(upper: b, lower a)∫g(x)dx].
True or false. If true, why? If false, what is a counter example, and can you explain why it contradicts? Please
If F(x)= (upper: x, lower: 0) ∫√(t3+1)dt then F'(2)=3
find the volume of the solid obtained by rotating the region bounded by xy=4 and y=(x-3)^2 about the x-axis.
finding the volume of the solid
the region bounded by y=0 and y=kx-x^2 is revolved around the y-axis to form a solid whose volume is 10.
what are the exact possible values of k? Hint: use cylindrical shells
the area of the region bounded by y=x^2 and y=x is________.
a. 1/6
b. 1/3
c. 1/2
d. 5/6
e. 1
Follows
•
2
Expert Answers
•1
![]()
Consider the region, R, bounded by the x-axis, the y-axis, and the graphs of the equations y=1/(x^2+1) and y=lnx
Find the area of the region R. a. 5.497 b. 1.483 c. 0.879 d. 0.013
Follows
•
2
Expert Answers
•1
![]()
Suppose we have a rod that is 6 meters long, with density function p(x)=2x+3. What is the center of the mass of the rod?
¯x= 11/3
¯x= 8/3
¯x= 14/3
¯x= 4/3
none of these
Follows
•
2
Expert Answers
•1
![]()
probability and integrals
Suppose that f(x) is the probability density function describing the distribution for the number of minutes it takes to solve a puzzle. Which of the following represents the probability that you...
more
Follows
•
2
Expert Answers
•1
![]()
Given the cost function C(x), the marginal cost is given by which of the following?
a. ∫C(x)dx
b. ∫xC(x)dx
c. C'(x)
d. ( C'(x) )/x
e. none of these
Follows
•
2
Expert Answers
•1
![]()
center of mass
Particles A and B are located on the x-axis. The masses and positions of the particles are: mA = 12 grams xA = 2 mB= 8 grams xB = 10 What...
more
stretching a spring
Suppose that a force of 20N stretches a spring 0.4 m beyond its natural length. How far will a 40N force stretch the spring? a. 1.0 b. 0.4 c. 0.2 d. 0.8
Follows
•
2
Expert Answers
•1
![]()
differential equation
Suppose that 120 deer are placed in a protected region. If the region can support a maximum deer population of 500, then the bounded growth model for the deer population gives us which differential...
more
Follows
•
2
Expert Answers
•1
![]()
center mass of a rod
If you have a rod of length 5 with density p(x)=2+(x/5). What is the center of mass of the rod? a. ¯x=2.5 b. ¯x=2.667 c. ¯x=3.333 d. ¯x=2.165
Follows
•
2
Expert Answers
•1
![]()
work due to gravity
The force pulling an object to earth is where G is the gravitational constant, M is the mass of the Earth, m is the mass of the object, and r is the distance between the object and the center of...
more
Follows
•
2
Expert Answers
•1
![]()
. A spaceship weighs 50 tons on the launch pad. As it ascends, it burns fuel so that it weighs 20 tons by the time it reaches an altitude of 70 miles.
How much work is done in lifting the spaceship to an altitude of 70 miles? a. 2450 mi-tons b. 2100 mi-tons c. 3500 mi-tons d. none of these
Follows
•
2
Expert Answers
•1
![]()
Still looking for help? Get the right answer, fast.
Ask a question for free
Get a free answer to a quick problem.
Most questions answered within 4 hours.
OR
Find an Online Tutor Now
Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.
