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Gnom [1K]
1 year ago
10

10. Find

%5Csin%20t%7D_1%5Csqrt%7B1%2Bu%5E%7B4%7D%7Ddu%5Cright%29dt%5Ctext%7B.%7D" id="TexFormula1" title="\frac{d^{2}}{d x^{2}}\int ^x_0\left(\int ^{\sin t}_1\sqrt{1+u^{4}}du\right)dt\text{.}" alt="\frac{d^{2}}{d x^{2}}\int ^x_0\left(\int ^{\sin t}_1\sqrt{1+u^{4}}du\right)dt\text{.}" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
RideAnS [48]1 year ago
3 0

Let g(t) denote the inner integral. By the fundamental theorem of calculus, the first derivative is

\displaystyle \frac{d}{dx} \int_0^x g(t) \, dt = g(x)

Then using the FTC again, differentiating g gives

\displaystyle \frac{dg}{dx} = \frac{d}{dx} \int_1^{\sin(x)} \sqrt{1+u^4} \, du = \boxed{\cos(x) \sqrt{1+\sin^4(x)}}

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Zane performs the elementary row operation represented by R2-½R1 on matrix A.​
UkoKoshka [18]

Answer:

[2 5 0]

[-7 -11/2 12]

Step-by-step explanation:

We want to perform elementary row operation represented by R2 - ½R1 on matrix A in the figure attached.

Now, matrix A is given as;

[2 5 0]

[-6 -3 12]

Now, R1 is row 1 = [2 5 0]

R2 is row 2 = [-6 -3 12]

Thus, R2 - ½R1 = [-6 -3 12] - ½[2 5 0]

This gives;

[-6 -3 12] - [1 5/2 0] = [-7 -11/2 12]

Now,[-7 -11/2 12] will be the new row 2 since it's just an elementary row operation we did on the Matrix A.

Thus, the new matrix is now;

[2 5 0]

[-7 -11/2 12]

5 0
2 years ago
Read 2 more answers
Solve the inequality. 3 – 2a < 7
Igoryamba
<span>3 – 2a < 7
Subtract 3 from both sides
-2a<4
Divide both sides so that the only thing remaining on the left side is the variable a.*Note: When you divide a negative number in a inequality, it automatically flips the greater than/less than sign to it's opposite side.
Final Answer: a>-2</span>
3 0
2 years ago
1. 1 5/8 divided by - 1 3/5<br><br> 2. -5 1/3 divided by 2 3/4
KengaRu [80]

1. 1 5/8 / -1 3/5 = -25/24 = -1 1/24

2. -5 1/3 / 2 3/4 = 10/9 = -1 1/9

6 0
3 years ago
G60°
mars1129 [50]
C
Should be 25.........
4 0
3 years ago
Which of the ratios below is equivalent to 5:2? Select all that apply.
Nata [24]

Answer:

D

Step-by-step explanation:

This is because they are both mulitplied by two so they are still equivalent

6 0
3 years ago
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