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3 years ago

Please help!! If f (x) = e^x sin x, then f’ (x) =

Mathematics

1 answer:

shusha [124]3 years ago

5 0

Answer:

$f'(x) = {e}^{x}( \sin x + \cos x )$

Step-by-step explanation:

$f(x) = {e}^{x} \sin x \\ \\ f'(x) = \sin x \frac{d}{dx} {e}^{x} + {e}^{x} \frac{d}{dx} \sin x \\ \\ f'(x) = \sin x \: {e}^{x} +{e}^{x} \cos x \\ \\ f'(x) = {e}^{x}( \sin x + \cos x )$

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What's the product of 9.55x83 and how to solve it

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The product should be 792.65

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3 years ago

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Jim spent an hour doing homework. He spent a third of this time on math and a half on an essay. A few breaks took the rest of hi

Citrus2011 [14]

Answer:

If he spent 20 min. on math and on breaks then he'd spend 20 min. on the essay

Step-by-step explanation:

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3 years ago

In a study, 36% of adults questioned reported that their health was excellent. A researcher wishes to study the health of peop

steposvetlana [31]

Answer:

0.3907

Step-by-step explanation:

We are given that 36% of adults questioned reported that their health was excellent.

Probability of good health = 0.36

Among 11 adults randomly selected from this area, only 3 reported that their health was excellent.

Now we are supposed to find the probability that when 11 adults are randomly selected, 3 or fewer are in excellent health.

i.e. $P(x\leq 3)=P(x=1)+{P(x=2)+P(x=3)$

Formula : $P(x=r)=^nC_r p^r q ^ {n-r}$

p is the probability of success i.e. p = 0.36

q = probability of failure = 1- 0.36 = 0.64

n = 11

So, $P(x\leq 3)=P(x=1)+{P(x=2)+P(x=3)$

$P(x\leq 3)=^{11}C_1 (0.36)^1 (0.64)^{11-1}+^{11}C_2 (0.36)^2 (0.64)^{11-2}+^{11}C_3 (0.36)^3 (0.64)^{11-3}$

$P(x\leq 3)=\frac{11!}{1!(11-1)!} (0.36)^1 (0.64)^{11-1}+\frac{11!}{2!(11-2)!} (0.36)^2 (0.64)^{11-2}+\frac{11!}{3!(11-3)!} (0.36)^3 (0.64)^{11-3}$

$P(x\leq 3)=0.390748$

Hence the probability that when 11 adults are randomly selected, 3 or fewer are in excellent health is 0.3907

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3 years ago

The table shows the total number of pictures Cal took by the end of each week.

CaHeK987 [17]

Answer:

45 pictures

Step-by-step explanation:

I did this one too but i don't if they changed the answer good luck I would double check

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3 years ago

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A car servicing station is running a special offer. The breakdown of the cost for different services is given below.

ohaa [14]

Answer:

C. It is the total cost of the membership fee and the tire pressure check for 12 months.

Step-by-step explanation:

The constant represents the sum of costs that are <em>not</em> "per car." Those are only "membership fee" ($50) and "tire pressure check" ($15/mo × 12 mo = $180).

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2 years ago

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