Write a script (must be titled “NumIntF”) in MATLAB that
calculates the integration of function f(x)=cos(x)...
Write a script (must be titled “NumIntF”) in MATLAB that
calculates the integration of function f(x)=cos(x) . exp(sin x),
Using numerical integration method. When the user runs the script,
he/she is prompted to input the lower and upper limits for
numerical integration, both in radians, and your program outputs
the integration result. You can use built-in trigonometric
functions and the exponential function, but you are not allowed to
use any built-in function to do the integration. You must use a...
Find a general term (as a function of the variable n) for the
sequence{?1,?2,?3,?4,…}={45,1625,64125,256625,…}{a1,a2,a3,a4,…}={45,1625,64125,256625,…}.
Find a...
Find a general term (as a function of the variable n) for the
sequence{?1,?2,?3,?4,…}={45,1625,64125,256625,…}{a1,a2,a3,a4,…}={45,1625,64125,256625,…}.
Find a general term (as a function of the variable n) for the
sequence {?1,?2,?3,?4,…}={4/5,16/25,64/125,256/625,…}
an=
Determine whether the sequence is divergent or convergent. If
it is convergent, evaluate its limit.
(If it diverges to infinity, state your answer as inf . If it
diverges to negative infinity, state your answer as -inf . If it
diverges without being infinity or negative infinity, state your
answer...
Set up integrals for both orders of integration. Use the more
convenient order to evaluate the...
Set up integrals for both orders of integration. Use the more
convenient order to evaluate the integral over the plane region
R.
R
4xy dA
R: rectangle with vertices (0, 0), (0, 3), (2, 3), (2, 0)
6)Determine the following limits, using ∞ or −∞ when
appropriate, or state that they do not...
6)Determine the following limits, using ∞ or −∞ when
appropriate, or state that they do not exist.
(1) lim x->4+ 4/x-4
(2) lim x->4- 4/x-4
(3) lim x-> 4/x-4
7)Evaluate limx→∞ f(x) and limx→−∞ f(x) for the following
function. Use ∞ or −∞ when appropriate. Then give the horizontal
asymptote(s) of f (if any).
f(x)= x3+8/4x3+sqrt 64x6+4
1.express dw/dt as a function of t, both by using the Chain Rule
and by expressing...
1.express dw/dt as a function of t, both by using the Chain Rule
and by expressing w in terms of t and differentiating directly with
respect to t. Then evaluate dw/dt at the given value of t.
a)w= -6x^2-10x^2 , x=cos t,y=sint, t=pi/4
b)w=4x^2y-4y^2x, x=cost y=sint, --> express n terms of t
2.Find the linearization L(x,y) of the function (x,y)=e^x
cos(9y) at points (0,0) and (0,pi/2)