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3 years ago

14

How can you prove a polynomial identity?

1 answer:

Lynna [10]3 years ago

3 0

Answer:

To show that an equation is an identity: Start with either side of the equation and show that it can algebraically be changed into the other side. Or start with both sides of the equation and show that they both can be changed into the same algebraic expression.

Step-by-step explanation:

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Find an equation for the tangent to the curve at P and the horizontal tangent to the curve at Q. y = 5 + cot x - 2 csc x 0 1 2 3

oksian1 [2.3K]

Answer with explanation:

The given function in x and y is,

y= 5 +cot x-2 Cosec x

To find the equation of tangent, we will differentiate the function with respect to x

$y'= -\csc^2 x+2 \csc x\times \cot x$

Slope of tangent at (π/2,3)

$y'_{(\frac{\pi}{2},3)}= -\csc^2\frac{\pi}{2} +2 \csc \frac{\pi}{2}\times \cot \frac{\pi}{2}\\\\=-1+2\times 1 \times 0\\\\= -1$

Equation of tangent passing through (π/2,3) can be obtained by

$\rightarrow \frac{y-y_{1}}{x-x_{1}}=m(\text{Slope})\\\\ \rightarrow \frac{y-3}{x-\frac{\pi}{2}}=-1\\\\\rightarrow 3-y=x-\frac{\pi}{2}\\\\\rightarrow x+y-3-\frac{\pi}{2}=0$

⇒There will be no Horizontal tangent from the point (π/2,3).

5 0

4 years ago

What is the surface area of this wedge ?

Bess [88]

Answer: 84 ft^2

Step-by-step explanation:

The whole prism can be divided into 5 surfaces.

Two triangles and 3 rectangles.

Find the area of each of the 5 shapes and add them together.

The triangle has a base of 4 and a height of 3.

Area of triangle 1: A= 4*3 * 1/2

A = 6

Area of triangle 2: A = 4*3 * 1/2

A = 6

Area of rectangle 1 : A= 4*6

A = 24

Area of rectangle 2; A = 3*6

A = 18

Area of rectangle 3: A= 5 *6

A = 30

Now add the areas together

6 + 6 + 24 + 18 + 30 + = 84 ft^2

7 0

3 years ago

Read 2 more answers

Write an equation in slope-intercept form for the line that passes through (5,1) and is parallel to the line described by y=−25x

vodka [1.7K]

Answer:

Step-by-step explanation:

y - 1 = -25(x - 5)

y - 1 = -25x + 125

y = -25x + 126

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3 years ago

Chamberlin wants to bottle 1\8 of her apple cider. She pours the apple cider evenly among 6 bottles. What fraction of her apple

devlian [24]

Answer:

a) $\frac{1}{48}$ of her apple cider.

b) $6x=\frac{1}{8}$

Step-by-step explanation:

1. Let's call the amount of her apple cider she will put in each bottle: $x$

2. You know that she wants to bottle 1\8 of her apple cider and she pours it among 6 bottles.

3. Therefore, keeping the information above on mind, you can write the following expression:

$6x=\frac{1}{8}$

4. When you solve for x, you obtain the following result:

$x=\frac{1}{8*6}=\frac{1}{48}$

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4 years ago

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Answer:

Step-by-step explanation:answer is look it up

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3 years ago