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Natalija [7]
3 years ago
10

Let f f and g g be functions such that f(0)=7,g(0)=5, f(0)=7,g(0)=5, f ′ (0)=8, g ′ (0)=6. f′(0)=8,g′(0)=6. Find h ′ (0) h′(0) f

or the function h(x)=g(x)f(x) h(x)=g(x)f(x) . h ′ (0) h′(0) =
Mathematics
1 answer:
Anettt [7]3 years ago
5 0

Answer:

h'(0) = 82

Step-by-step explanation:

h(x) = g(x)f(x), meaning

h'(x) = g'(x)f(x) + f'(x)g(x)

h'(0) = g'(0)f(0) + f'(0)g(0)

h'(0) = (6)(7) + (8)(5) = 42 + 40 = 82

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The sum of 4 consecutive odd numbers is 40.<br> What is the second number in this sequence?
EleoNora [17]

Answer:

The answer is 9.

Step-by-step explanation:

Because 7 + 9 + 11 + 13 = 40, 9 is the 2nd number in the problem.

7 0
3 years ago
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dlinn [17]
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6 0
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. Kemone bought 3 pounds of hamburger for $2.56 per pound and a box of cereal for $3.95. How can you calculate how much she spen
erica [24]

Answer:

Step-by-step explanation:

you multiply 2.56 by 3 and add 3.95 an equation would look like y=(3×2.56)+3.95

4 0
3 years ago
What is the fourth term of the binomial expansion for (3x-2y)6
Thepotemich [5.8K]
One way is to just expand it by using binomial theorem
or to use pascal's triangle

ok so

to find the nth term of a binomial, (a-b). where the binomial is to the r power you do
n-1=k

rCk times (a)^{r-k}(-b)^k
and rCk=\frac{r!}{k!(r-k)!}

so

4th term
4-1=3
6 is exponent

6C3(3x)^{6-3}(-2y)^3=
( \frac{6!}{3!(6-3)!} )((3x)^3(-8y^3)=
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the 4th term is -4320x^3y^3

7 0
3 years ago
Which expression is equivalent to sec^2xcot^2x
Dimas [21]

Answer:

B

Step-by-step explanation:

Using the identities

sec x = \frac{1}{cosx} , csc x = \frac{1}{sinx} , cot x = \frac{cosx}{sinx} , then

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= \frac{1}{cos^2x} × \frac{cos^2x}{sin^2x} ( cancel out cos²x )

= \frac{1}{sin^2x}

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8 0
3 years ago
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