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lara31 [8.8K]
3 years ago
11

Simplify cosθ + cosθtan2θ. 1 cscθ secθ sin2θ

Mathematics
1 answer:
motikmotik3 years ago
3 0

Answer:

csc0

Step-by-step explanation:

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4 years ago
Help me please-math question
vlada-n [284]

Answer:  Median = 50

Step by Step Explanation:

1. Sort the values from smallest to largest (Ascending order) - This step is already done for you in this data set.

2. Find the middle most number. If you're left with two numbers in the middle, find the average of those two numbers - Since this data set is pretty small, you can probably notice that the middle most number is 50.

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8 0
3 years ago
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Solve the equation using the quadratic formula. X^2-9x+3=0
Nesterboy [21]

Answer:

The answer is x= \frac{9+\sqrt{69}}{2}, x= \frac{9-\sqrt{69}}{2}

Step-by-step explanation:

x^2=a

-9x=b

3=c

Plug into formula.

Equation: \frac{9+-\sqrt{(-9)^2-4(1)(3)}}{2}

Simplify the equation.

Equation: \frac{9+-\sqrt{81-12}}{2}

Subtract 81 and 12.

Equation: \frac{9+-\sqrt{69}}{2}

Spit into two equations

Equation 1: \frac{9+\sqrt{69}}{2}

Equation 2: \frac{9-\sqrt{69}}{2}

Hope this helps!

8 0
3 years ago
Find the x-coordinates of any relative extrema and inflection point(s) for the function f(x)= 6x^1/3 + 3x^4/3. You must justify
irina [24]

Answer:

x-coordinates of relative extrema = \frac{-1}{2}

x-coordinates of the inflexion points are 0, 1

Step-by-step explanation:

f(x)=6x^{\frac{1}{3}}+3x^{\frac{4}{3}}

Differentiate with respect to x

f'(x)=6\left ( \frac{1}{3} \right )x^{\frac{-2}{3}}+3\left ( \frac{4}{3} \right )x^{\frac{1}{3}}=\frac{2}{x^{\frac{2}{3}}}+4x^{\frac{1}{3}}

f'(x)=0\Rightarrow \frac{2}{x^{\frac{2}{3}}}+4x^{\frac{1}{3}}=0\Rightarrow x=\frac{-1}{2}

Differentiate f'(x) with respect to x

f''(x)=2\left ( \frac{-2}{3} \right )x^{\frac{-5}{3}}+\frac{4}{3}x^{\frac{-2}{3}}=\frac{-4x^{\frac{2}{3}}+4x^{\frac{5}{3}}}{3x^{\frac{2}{3}}x^{\frac{5}{3}}}\\f''(x)=0\Rightarrow \frac{-4x^{\frac{2}{3}}+4x^{\frac{5}{3}}}{3x^{\frac{2}{3}}x^{\frac{5}{3}}}=0\Rightarrow x=1

At x = \frac{-1}{2},

f''\left ( \frac{-1}{2} \right )=\frac{4\left ( -1+4\left ( \frac{-1}{2} \right ) \right )}{3\left ( \frac{-1}{2} \right )^{\frac{5}{3}}}>0

We know that if f''(a)>0 then x = a is a point of minima.

So, x=\frac{-1}{2} is a point of minima.

For inflexion points:

Inflexion points are the points at which f''(x) = 0 or f''(x) is not defined.

So, x-coordinates of the inflexion points are 0, 1

7 0
3 years ago
∠A and ∠B are supplementary. The measure of ∠A is 96°. What is the measure of ∠B? Enter your answer in the box. °
Fiesta28 [93]

Answer:

∠B = 84

Step-by-step explanation:

Supplementary angles add up to 180°, You would subtract 96 from 180 to find angle B.

4 0
3 years ago
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