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Igoryamba
3 years ago
15

Evaluate the indefinite integral. (use c for the constant of integration.) tan6(θ) sec2(θ) dθ illustrate and check that your ans

wer is reasonable by graphing both the function and its antiderivative (take c = 0). webassign plot webassign plot webassign plot webassign plot
Mathematics
1 answer:
atroni [7]3 years ago
4 0
\displaystyle\int\tan^6\theta\sec^2\theta\,\mathrm d\theta

x=\tan\theta\implies\mathrm dx=\sec^2\theta\,\mathrm d\theta

\displaystyle\int x^6\,\mathrm dx=\dfrac{x^7}7+C
\implies\displaystyle\int\tan^6\theta\sec^2\theta\,\mathrm d\theta=\dfrac{\tan^7\theta}7+C
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Solve the equation 9 (x+1)^4-19 (x+1)^2+2=0
Anna11 [10]
9(x + 1)^4 - 19(x + 1)^2 + 2 = 0
After expanding and re-factoring, we have:
(3x + 2)(3x + 4)(x^2 + 2x - 1) = 0
solutions are x = -2/3, x = -4/3, x = -1 - sqrt(2), x = sqrt(2) - 1
8 0
4 years ago
For f(x)= 2x+1 and g(x)=x²-7, find (f-g)(x)<br> A.x²-2x-8<br> B.-x²+2x-6<br> C.-x²+2x+8<br> D.2x²-15
meriva

Answer:

C

Step-by-step explanation:

(2x+1) - (x²-7) = 2x + 1 - x²- + 7 = -x²- + 2x + 8

4 0
3 years ago
Please help me I’m failing
Anna007 [38]

Answer:

CDEF

Step-by-step explanation:

if the x value doesnt repeat then it is

6 0
3 years ago
Read 2 more answers
Translate the following word phrase into an algebraic expression: nine times five less than twice x.
bagirrra123 [75]

The given statement is "nine times five less than twice x".

So, twice of x can be written as 2x and nine times five is 9*5.

Now 9*5 less 2x means we need to take out 9*5 from 2x.

Hence, this statement will be converted into an algebraic expression as follows:

2x-9*5

4 0
3 years ago
Find the surface area of the following prism.
Lynna [10]

Answer: 350 square inches

The surface area formula of a trapezoidal prism is h (b + d) + l (a + b + c + d)

4(9+7) + 11 (5+7+9 +5)

--> 350

3 0
2 years ago
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