# 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
1. ## 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

2. ## 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

3. ## 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} =

4. ## Calculus

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

5. ## Calculus

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

6. ## 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

7. ## 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

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

9. ## calculus

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

10. ## calculus

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

11. ## Calc

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

12. ## calculus

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

13. ## calculus

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

14. ## calculus

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

15. ## Math

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

16. ## 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

17. ## 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

18. ## complex Analysis

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

19. ## 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

20. ## 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

21. ## 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.

22. ## Calculus

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

23. ## Calculus

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

24. ## Calculus

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

25. ## 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?

26. ## Calculus

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

27. ## Simple Calculus

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

28. ## 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

29. ## Calculus

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