Question
In: Math
For each of the following integrals find an appropriate trigonometric substitution of the form x=f(t)x=f(t) to...
For each of the following integrals find an appropriate trigonometric substitution of the form x=f(t)x=f(t) to simplify the integral.
the inteagral
a) ∫x(3x^2+30x+73)^(1/2)dx
b)∫x/(−25−3x^2+18x)^(1/2)dx
Solutions
milcah answered 1 year agoRelated Solutions
Evaluate the following integrals using trigonometric identities (a) intergal sin6 x cos3 x dx (b) Z...
Evaluate the following integrals using trigonometric
identities
(a) intergal sin6 x cos3 x dx
(b) Z π/2
o
cos5 x dx
(c) Z
sin3
(
√
x)
√
x
dx
(d) Z
tsin2
t dt
(e) Z
tan2
θ sec4
θ dθ
(f) Z
x sec x tan x dx
Evaluate the following integral using trigonometric substitution. a) find the partial decomposition of the integrand b)...
Evaluate the following integral using trigonometric
substitution. a) find the partial decomposition of the integrand b)
evaluate the indefinite integral
1. 6/x(x^2+2)^2
2. 5/x(x^2+1)^2?
For the following exercises, match each trigonometric function with one of the graphs in Figure 18. f(x) = sec x
For the following exercises, match each trigonometric function with one of the graphs in Figure 18.f(x) = sec x
For the following exercises, match each trigonometric function with one of the graphs in Figure 18. f(x) = tan x
For the following exercises, match each trigonometric function with one of the graphs in Figure 18.f(x) = tan x
1. Find the Laplace transform of each of the following functions: (a). f(t) = t ,...
1. Find the Laplace transform of each of the following
functions: (a). f(t) = t , (b). f(t) = t2 ,
(c) f(t) = tn where n is a positive
integer
Laplace transform of the given function
2. . f(t) = sin bt
3. f(t) = eat sin bt
Find the function of the form f(t) = c0 + c1sin(t) + c2cos(t) + c3sin(2t) +...
Find the function of the form
f(t) = c0 + c1sin(t) + c2cos(t)
+ c3sin(2t) + c4cos(2t)
that best fits the data points (0,0), (0.5,0.5), (1,1),
(1.5,1.5), (2,2), (2.5,2.5), (3,3), using least squares. Sketch the
solution, together with the function g(t) = t.
Find the function of the form f(t) = c0 + c1sin(t) + c2cos(t) + c3sin(2t) +...
Find the function of the form
f(t) = c0 + c1sin(t) + c2cos(t)
+ c3sin(2t) + c4cos(2t)
that best fits the data points (0,0), (0.5,0.5), (1,1),
(1.5,1.5), (2,2), (2.5,2.5), (3,3), using least squares. Sketch the
solution, together with the function g(t) = t.
Find the derivative of the function f(t)=arccsc〖(-t^2)〗 f(x)=arccot√x y=ln〖t^2 〗-arctan〖t/2〗 f(x)=arcsecx+arccscx...
Find the derivative of the function
f(t)=arccsc〖(-t^2)〗
f(x)=arccot√x
y=ln〖t^2 〗-arctan〖t/2〗
f(x)=arcsecx+arccscx
y=arctan〖x/2〗+1/(2(x^2+4))
Use implicit differentiation to find an equation of
the tangent line the graph of the equation at the given
point.
arctan(x+y)=y^2+π/4, (1,0)
Find a possible formula for the trigonometric function whose values are in the following table. x...
Find a possible formula for the trigonometric function whose
values are in the following table.
x
0
2
4
6
8
10
12
y
8
2
-4
2
8
2
-4
y =
Find a possible formula for the trigonometric function whose values are in the following table. x...
Find a possible formula for the trigonometric function whose
values are in the following table.
x
0
4
8
12
16
20
24
y
8
4
0
4
8
4
0
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