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 .