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3 years ago

HELP ME PLEASE I BEG YOU!!!!!!!!!!

Mathematics

1 answer:

Sav [38]3 years ago

8 0

1X2
b32
Eagles
for the first page

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A markdown that is less than 1%

Alexxx [7]

Then mark it down by less then 1%, of by whatever the number would be.

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2 years ago

Find the derivative.

Aleksandr [31]

Answer:

Using either method, we obtain: $t^\frac{3}{8}$

Step-by-step explanation:

a) By evaluating the integral:

$\frac{d}{dt} \int\limits^t_0 {\sqrt[8]{u^3} } \, du$

The integral itself can be evaluated by writing the root and exponent of the variable u as: $\sqrt[8]{u^3} =u^{\frac{3}{8}$

Then, an antiderivative of this is: $\frac{8}{11} u^\frac{3+8}{8} =\frac{8}{11} u^\frac{11}{8}$

which evaluated between the limits of integration gives:

$\frac{8}{11} t^\frac{11}{8}-\frac{8}{11} 0^\frac{11}{8}=\frac{8}{11} t^\frac{11}{8}$

and now the derivative of this expression with respect to "t" is:

$\frac{d}{dt} (\frac{8}{11} t^\frac{11}{8})=\frac{8}{11}\,*\,\frac{11}{8}\,t^\frac{3}{8}=t^\frac{3}{8}$

b) by differentiating the integral directly: We use Part 1 of the Fundamental Theorem of Calculus which states:

"If f is continuous on [a,b] then

$g(x)=\int\limits^x_a {f(t)} \, dt$

is continuous on [a,b], differentiable on (a,b) and $g'(x)=f(x)$

Since this this function $u^{\frac{3}{8}$ is continuous starting at zero, and differentiable on values larger than zero, then we can apply the theorem. That means:

$\frac{d}{dt} \int\limits^t_0 {u^\frac{3}{8} } } \, du=t^\frac{3}{8}$

5 0

2 years ago

Solve for x O 5.5 O 6.5 O 7.5 O 8.5

Leni [432]

Answer:

x= 120

Step-by-step explanation:

x+60=180

x=180-60

x=120

4 0

2 years ago

a boat is trying to cross a river that is 2 miles wide, by going straight across. The speed of the boat is 25 mph, but the curre

vodomira [7]

Answer: It will take the boat 0.11 hour to cross the river

From the original starting point, the boat end up 1.85 miles away from that point.

Step-by-step explanation: Please find the attached file for the solution

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2 years ago

Domain And Range, Best answer will get brainliest

MrMuchimi

Answer:

Domain is all the values that go into a function, and range are the values that come out of that function

Step-by-step explanation:

A value is an integer, so when you have an INPUT (your domain) that makes a line/slope, an OUTPUT (your range) will be your outcome, aka your answer

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2 years ago