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3 years ago

PLEASE HELP!!

Mathematics

2 answers:

Alja [10]3 years ago

4 0

Answer:

B choice

Step-by-step explanation:

$y = mx + b$

where m = slope and b = y-intercept.

The value of m is 3/4. That means slope is 3/4. Changing 3/4 to - 3/4 will make the slope become negative. Therefore the answer is B.

bearhunter [10]3 years ago

4 0

Answer: b) the slope of the line will change from positive to negative

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At what points on the given curve x = 4t3, y = 3 + 40t − 2t2 does the tangent line have slope 1?

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ANSWER

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EXPLANATION

The given parametric equation that defines the curve is:

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$\frac{dx}{dt} = 12 {t}^{2}$

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$12 {t}^{2} = 40 - 4t$

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When t=-2, we put -2 into the expression for x and y to get

x=4(-2)³ and y=3+40(-2)-2(-2)²

This implies that,

x=32, y=-85

Hence one point is (32,-85)

Similarly, when

$t = \frac{5}{3}$

$x = \frac{500}{27} ,y = \frac{577}{9}$

Another point is

$( \frac{500}{27} , \frac{577}{9} )$

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