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2 years ago

Can anyone help me with a CALC problem

Mathematics

1 answer:

Taya2010 [7]2 years ago

8 0

A) The function f+g is just the sum of the 2 functions f and g.
The derivative of f+g is also just the sum of the derivatives.

So to find slope of new tangent line, you find sum of the slopes for f and g.
---> m = 2+2 = 4

The point on new curve is (4, f(4)+g(4)) -----> (4,17)

The equation of tangent line is then:
y - 17 = 4(x -4)
y = 4x + 1

b) and c) are done the same way. f-g means subtract slopes.
2f means double slope etc...

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Answer is given above

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Pani-rosa [81]

Answer:

The calculated t-test = 1.717 < 1.6604 at 0.05 level of significance

Null hypothesis is accepted at 0.05 level of significance

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Step-by-step explanation:

Step(i):-

Given sample mean (x⁻ ) = 517

sample standard deviation (s) =90

Mean of the Population (μ) =500

Null Hypothesis :- H₀ : (μ) =500

Alternative Hypothesis : H₁ : μ ≠ 500

Step(ii):-

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Level of significance

∝ = 0.05

t₀.₀₅ = 1.6604

The calculated t-test = 1.717 < 1.6604 at 0.05 level of significance

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3 years ago

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Sphinxa [80]

⇛ -12 + 8

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If tan0=-3/4 and 0 is in quadrant IV, cos20= (33/25, -17/25, 32/25, 7/25, 24/25?) and tan20= (24/7, -24/7, 7/25, -7/25, 13/7, -1

Oksana_A [137]

Answer:

cos(2θ) = 7/25
tan(2θ) = -24/7

Step-by-step explanation:

Sometimes, it is easiest to let a calculator do the work. (See below)

The magnitude of the tangent is less than 1, so the reference angle will be less than 45°. Then double the angle will be less than 90°, so will remain in the 4th quadrant, where the cosine is positive and the tangent is negative.

You can also use the identities ...

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cos(2θ) = 7/25

tan(2θ) = 2tan(θ)/(1 -tan(θ)²) = 2(-3/4)/((16-9/16) = (-6/4)(16/7)

tan(2θ) = -24/7

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