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2 years ago

Please help me if you can

Mathematics

1 answer:

Mekhanik [1.2K]2 years ago

7 0

Answer:

1)-9x^5 + 7x^2 + 3 2) -2x2 • (x - 7) 3) -23v^2 + 7v + 4 4) is just 7x

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The curves r1(t) = 2t, t2, t4 and r2(t) = sin t, sin 5t, 2t intersect at the origin. Find their angle of intersection, θ, correc

masya89 [10]

Answer:

Therefore the angle of intersection is $\theta =79.48^\circ$

Step-by-step explanation:

Angle at the intersection point of two carve is the angle of the tangents at that point.

Given,

$r_1(t)=(2t,t^2,t^4)$

and $r_2(t)=(sin t , sin5t, 2t)$

To find the tangent of a carve , we have to differentiate the carve.

$r'_1(t)=(2,2t,4t^3)$

The tangent at (0,0,0) is [ since the intersection point is (0,0,0)]

$r'_1(0)=(2,0,0)$ [ putting t= 0]

$|r'_1(0)|=\sqrt{2^2+0^2+0^2} =2$

Again,

$r'_2(t)=(cos t ,5 cos5t, 2)$

The tangent at (0,0,0) is

$r'_2(0)=(1 ,5, 2)$ [ putting t= 0]

$|r'_1(0)|=\sqrt{1^2+5^2+2^2} =\sqrt{30}$

If θ is angle between tangent, then

$cos \theta =\frac{r'_1(0).r'_2(0)}{|r'_1(0)|.|r'_2(0)|}$

$\Rightarrow cos \theta =\frac{(2,0,0).(1,5,2)}{2.\sqrt{30} }$

$\Rightarrow cos \theta =\frac{2}{2\sqrt{30} }$

$\Rightarrow cos \theta =\frac{1}{\sqrt{30} }$

$\Rightarrow \theta =cos^{-1}\frac{1}{\sqrt{30} }$

$\Rightarrow \theta =79.48^\circ$

Therefore the angle of intersection is $\theta =79.48^\circ$ .

8 0

2 years ago

3 (17) = 3 (20) - 3 (3)<br><br>please explaon why it is distributive property of multiplication

Gennadij [26K]

Because if there is a brackets with a number infront of them worhout any signs. then its distributive property of multiplication

4 0

3 years ago

PLZ HELP!!!!

kherson [118]

Answer:

a=1 b=4 c=-5

Step-by-step explanation:

7 0

1 year ago

Find f (-2) if f (x)=4x+1

telo118 [61]

Answer:

f(-2)=4(-2)+1= 7

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Factor 140c + 28 - 14a to identify the equivalent expressions.

Feliz [49]

Answer:

The answer to your question are letters A, C and D.

Step-by-step explanation:

To factor this polynomial we need to look for the common factor of the three terms.

To find it, get the greatest common factor

140 28 14 2

70 14 7 2

35 7 7 5

7 7 7 7

1 1 1

Greatest common factor = 2 x 7 = 14

Factor the polynomial

140c + 28 - 14a = 14 ( 10c + 2 - a)

Factor only 7 7(20c + 4 - 2a)

Factor only 2 2 (70c + 14 - 7a)

8 0

2 years ago

Please help me if you can​

Please help me if you can