330 Answered Questions for the topic Calculus 2
College Calculus 2
Find the most general antiderivative. f(x) = (x^5-x^3+8x)/x^4
Calculus 2 Calculus
College Calculus 2
Find the most general antiderivative of the function f(x) = 5/x^4
Pre calculus question !!!
How many solutions does the equation sin(x) sin(2x) sin(3x)... sin(11x) sin(12x) = 0 have in the interval (0,π ] ? (a) 11 (b) 12 (c) 24 (d) 46 (e) 68
Pre calculus question !!!
The vertices of a triangle ΔABC are A( p,q) , B(r, s) ,C(u, v) . Assume that these coordinates satisfy 2p+3r+4u=0 , 2q + 3s + 4v=0 , and the origin O(0,0) lies in the interior of ΔABC . If... more
Whole question is in the description.
A bacterial culture has an initial population of 10,000. If it’s population declines to 4,000 in 4 hours, when will it’s population be 2530? Assume that the population decreases according to the... more
Calculus 2 Half Life
If 20% of the substance disappears in 10 years, what is its half-life? (Round your answer to two
A radioactive substance follows the decay equation dA/ dt= kA. If 20% of the substance disappears in 10 years, what is its half-life? (Round your answer to two decimal places.)
Double integral - calculating area
Calculate the area of the region bounded by the two curves, y = 4 - x2 and y = x + 2. The answer is meant to be 9/2 but I just cannot get it!!! Maybe my bounds are incorrect.... help!
Calculus 2 Graphing
find the concavity of y'=4y-y^3
I cant find the concavity of this function but I found the increase/decreae and everything else.
Find the Area (polar)
Find the area that is outside r = 2 but inside r = 4 cos θ.Type your answer in the space below and give 3 decimal places. If your answer is less than 1, place a leading "0" before the decimal point... more
Calculus question about Derivatives of Inverse Functions
So I have the problem "f(x)=(x^3)-(3x^2)-1,x>=2, find the value of (df^-1)/dx at the point x=-1=f(3)" I keep on getting the answer as 9 but the book says 1/9 and I have no idea why. Could you... more
Find an area bounded by a graph
I need help with this task. cx(x^2/a^2+y^2/b^2)=y^2,x=b^2/c
The solid S has a base described by the circle x^2+y^2=3. What is the volume of S with Cross sections perpendicular to the x-axis and the base are rectangles
The solid S has a base described by the circle x^2+y^2=36. Cross sections perpendicular to the x-axis and the base are rectangles whose height from the base is one-ninth its length. What is the... more
Calculus 2 Differential Equations
Determine which function is a solution to the differential equation y ' − y = 0.
a) e^x b) square root of 2x c) x d) none of these
Solve the differential equation
the product of 1/6x and dy/dx equals y times the square root of the quantity 3x squared - 1.
Find the absolute value of the resulting error if the value of the integral from 0 to 3 of x cubed, dx is estimated with 3 inscribed rectangles of equal width.
a) 87.75 b) 15.75 c) 11.25 d) 6.75
Find the area enclosed by the polar curve r=8e^(0.9θ) on the interval 0≤θ≤1/8 and the straight line segment between its ends. Area = P.S. Its not 4.486.
Polar Curve and straight line segment.
Volume of solid by rotating it
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.y = x2, x = y2; about y = 1
Points of discountity
how do we find the points of discountity of f(x)=8x/5x^2-1? If i made the denominator =0 i would get squared 1/5 and then when i will plug it back it will be undefined or am i doing it wrong ! more
Confused about limits?
As lim x approaches -3 of x^2-3x/x^2-9 1.how can you solve it in a step by step i am really confused 2. When finding the sided limit we subsitutw in the original function or after we factor it?
How can you compute the domain of g and g'(t) without computing any integrals in its definiton?
Consider the differential equation dy/dx=x^2+4y-1. If y=f(x) is the solution to the differential equation, at what point does f have a relative maximum?
Possible answers include: A. (3, -2) B. (0, 1/4) C. (-2, -1) D. (-5,-6)
calculus question, need help please!
Let R be the region in R^2 enclosed by the curve y = x^2 + 3 and the line y = 4x + 3. a) Write the area of R as a definite integral. b) Calculate the area of R.
find the derivative of (sech(4x))^2
I calculated the answer to be -8sech^2(4x)tanh(4x) but i'm not sure if it is correct.
Calculus 2 Trigonometric Functions
Tempuratures using Trig Function
Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature varies between 38 and 52 degrees during the day and the average daily temperature first... more
Use known Taylor Series to find the value for...
Use known Taylor Series to find the value for: (π is Pi character) π/3 - π/3^3 * 3! + π/3^5 * 5! - π/3^7 * 7! + ......