Since no instructions are given about what to do I have done the most probable that is differentiation and integration

c) (2 pts) h(x) = -tan(2x) c) (2 pts) h(x) = -tan(2x) c) (2 pts) h(x)...
Find an equation of the tangent plane to the surface f (x, y) =
x tan y at the point (2,
/4, 2).
a. x - 4y - z =
b. None of these
c. x + 4y - z = -
d. -x + 4y - z =
e. - x + 4y - z =
/4
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Find the unique
function f(x) satisfying the following
conditions:
f′(x)=2x
f(0)=4
f(x)=
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Produce a plot of the function f(x)= 3sin(2x) +4. The plot must span a range of x values from -2 to +2 . Be sure to label your axes We were unable to transcribe this imageWe were unable to transcribe this image
Find the solution to the given systems
(a) X'=X
X(0)=
(b) dx/dt=5x+y dy/dt=-2x+3y
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Find the following. tan , given sin 0, tan 2 (Simplify your answer, including any radicals. Use We were unable to transcribe this image
First use (20) in Section 6.4.
y'' +
1 − 2a
x
y' +
b2c2x2c − 2 +
a2 − p2c2
x2
y = 0, p ≥
0 (20)
Express the general solution of the given differential equation
in terms of Bessel functions. Then use (26) and (27)
J1/2(x)
=
2
πx
sin(x)
(26)
J−1/2(x)
=
2
πx
cos(x)
(27)
to express the general solution in terms of elementary
functions. (The definitions of various Bessel functions are given
here.)
y''...
Find a polynomial p(x) of degree 2 that satisfies , , and where a, b, c are given constants and are two different points. Thank you! We were unable to transcribe this imagep(m) = a We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this image
let f(X)=5x^3-13x^2+11x+4 if the interval of difference in 1
then cosider following statement 1.
^3f(x)=30 for all x 2.
^2f(x)=34 for x=1 3 .f(x)=
4 foe x=1 which of the statement c. if
^nO^m =
^nX^m then what is the value of O^6. what is the fun where first
difference in 3x^2+7x+10 and assume h=1.
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5. (20 pts) Solve y"(x) + 4y(x) = tan 2x.
Let X be a banach space such that X= C([a,b]) where - ab+ with the sup
norm. Let x and f X. Show
that the non linear integral equation
u(x) = (sin
u(y) dy + f(x) ) has a solution u X. (the integral is
from a to b).
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