Let \displaystyle \int_{5}^{9.5} f(x) dx =4, \ \int_{5}^{6.5} f(x) dx=5, \ \int_{8}^{9.5} f(x)dx =8
29 results
Calculus: need clarification to where the #'s go
Air is being pumped into a spherical balloon so that its volume increases at a rate of 80 \mbox{cm}^3\mbox{/s}. How fast is the surface area of the balloon increasing when its radius is 14 \mbox{cm}? Recall that a ball of radius r has volume \displaystyle

calculus
Evaluate the integral by interpreting it in terms of areas. int_(0)^(9) (7/2x  21)dx can someone please help me with this question i keep on getting the wrong answer...the answer i got was 324/4

Math
If z^2 = x^2 + y^2 with z>0, dx/dt=3, and dy/dt=6, find dz/dt when x=4 and y=3. Answer: \displaystyle \frac{dz}{dt} =

Calculus
Given that \displaystyle \int_0^4 x^3\sqrt{9+x^2} dx = a, what is the value of \lfloor a \rfloor?

Calculus
consider the function f(x) = (x if xor equal to 1 Evaluate the definite integral: int_{2}^{3} f(x)\,dx =

Calc
Air is being pumped into a spherical balloon so that its volume increases at a rate of 90{cm}^3/s. How fast is the surface area of the balloon increasing when its radius is 7{cm}? Recall that a ball of radius r has volume \displaystyle V={4}/{3}pie r^3 and

Maths
Let \displaystyle \int_{5}^{9.5} f(x) dx =4, \ \int_{5}^{6.5} f(x) dx=5, \ \int_{8}^{9.5} f(x)dx =8

calculus
a. The value of \displaystyle \int_{2}^{1} \frac{14}{ 4 x } dx is b. The value of \displaystyle \int_{1}^{2} \frac{14}{ 4 x } dx is

calculus
int_(1)^(2) 6/t^4 dt

calculus
\int_{4}^{13} f(x) \,dx  \int_{4}^{11} f(x) \,dx = \int_{a}^{b} f(x) \,dx where a= and b= .

Calc
Evaluate the definite integral: int_{ 2 } ^ { 7 } (10 x + 5) dx =

calculus
Evaluate. int_(pi)^(pi) (sin(x))^(3) (cos(x))^(3) dx

calculus
int_(2)^2sqrt(4x^2)text()dx evaluate the integral

calculus
int_(2)^2sqrt(4x^2)text()dx evaluate the integral

Math
consider the function f(x) = (x if xor equal to 1 Evaluate the definite integral: int_{2}^{3} f(x)\,dx =

calculus, help!
Evaluate the definite integral: int_{1}^{e^9} \frac{dx}{x \sqrt{\ln x}} = i gt my answer as 1^(e^9) but it's saying it's wrong

calculus
The following definite integral can be evaluated by subtracting F(B)  F(A), where F(B) and F(A) are found from substituting the limits of integration. \int_{0}^{4} \frac{1600 x +1200 }{(2 x^2 +3 x +1)^5}dx After substitution, the upper limit of

complex Analysis
\int_{\infty}^\infty {1 \over (4+x^4)} ,dx

Calculus help
\documentclass{article} \usepackage{amssymb,amsmath,amscd,concmath} \pagestyle{empty} \begin{document} \begin{equation*}\int_{1}^{3} [(e^3/x)/(x^2)]\, dx\end{equation*} \end{document} Sorry,the html format does not work... How to find the integral of

calculus
Ice cream drips out of the bottom of an ice cream cone on a hot day at a rate of r(t) mL per second, as a child eats it slowly, where t is in seconds. If r(t) = 10 e^{k t}, complete the definite integral expressing the quantity of ice cream lost in the

Physics
The equation describing the (r, \theta ) coordinates of points along a single field line of a magnetic dipole is r=R_0 \sin ^2(\theta ) where \theta =0 is in the direction of the dipole moment and R_0 is a constant which is different for each field line.

Calculus
Given f(x) = x^4 + 6x^3  15x + 7, evaluate \displaystyle \lim_{h \to 0} \frac{f(1+h)  f(1h)}{h}.

Calculus
Given that \displaystyle \int_0^4 x^3\sqrt{9+x^2} dx = a, what is the value of \lfloor a \rfloor?

Calculus
Evaluate \displaystyle \lim_{x \to 0} \frac{e^{44x}  1}{x^2+2x}.

Calulus
Given \displaystyle \int_0^{\frac{3\pi}{2}} x^2\cos x \, dx = a  \frac{b\pi^2}{c}, where a, b and c are positive integers and b and c are coprime, what is the value of a + b + c?

Calculus
a and b are integers that satisfy: \displaystyle \lim_{x \to 1} \frac{x1}{x^2ax+b} = \frac{1}{3}. What is the value of a+b?

Simple Calculus
Evaluate \displaystyle \lim_{x \to 0} \frac{\sqrt{2}x}{\sqrt{2+x}\sqrt{2}}.

calculus
Consider the function f(x) = 3 2 x^2 on the interval [ 5 , 3 ]. (A) Find the average or mean slope of the function on this interval, i.e. \displaystyle{\frac { f(3)  f(5) }{ 3  (5) } = } 4 (B) By the Mean Value Theorem, we know there exists a c in

Calculus
Evaluate \displaystyle \int_1^{10} \left(\sqrt{x} + 1\right)^3 dx  \int_1^{10} \left(\sqrt{x}  1\right)^3 dx .