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2 years ago

Given the function below, if f(x) = -1, find

Mathematics

1 answer:

dmitriy555 [2]2 years ago

6 0

Answer:

x = -3

Step-by-step explanation:

f(x) = 4x + 11

f(x) = -1

Substitute -1 for f(x)

-1 = 4x + 11

Subtract 11

-12 = 4x

Divide by 4

-3 = x

x = -3

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Used use euler's method with step size 0.1 to estimate y(0.5), where y(x) is the solution of the initial-value problem y ' = y +

brilliants [131]

We want to solve the Initial Value Problem y' = y + 4xy, with y(0) = 1.

To use Euler's method, define
y(i+1) = y(i) + hy'(i), for i=0,1,2, ...,
where
h = 0.1, the step size.,
x(i) = i*h

1st step.
y(0) = 1 (given) and x(0) = 0.
y(1) ≡ y(0.1) = y(0) + h*[4*x(0)*y(0)] = 1

2nd step.
x(1) = 0.1
y(2) ≡ y(0.2) = y(1) + h*[4*x(1)*y(1)] = 1 + 0.1*(4*0.1*1) = 1.04

3rd step.
x(2) = 0.2
y(3) ≡ y(0.3) = y(2) + h*[4*x(2)*y(2)] = 1.04 + 0.1*(4*0.2*1.04) = 1.1232

4th step.
x(3) = 0.3
y(4) ≡ y(0.4) = y(3) + h*[4*x(3)*y(3)] = 1.1232 + 0.1*(4*0.3*1.1232) = 1.258

5th step.
x(4) = 0.4
y(5) ≡ y(0.5) = y(4) + h*[4*x(4)*y(4)] = 1.258 + 0.1*(4*0.4*1.258) = 1.4593

Answer: y(0.5) = 1.4593

4 0

3 years ago

An observer for a radar station is located at the origin of a coordinate system. Find the

Korvikt [17]

Answer: 0.4 >-8 /9(8+7)

Sorry if it isn't correct!!

5 0

2 years ago

Secant jkl and jmn are drawn to circle o from an external point ,j. if jk=8,lk=4 and jm=6 what is the length of jn answer

Archy [21]

See the picture attached to better understand the problem

we know that
If two secant segments are drawn to a circle from an exterior point, then the product of the measures of one secant segment and its external secant segment is equal to the product of the measures of the other secant segment and its external secant segment.
so
jl*jk=jn*jm------> jn=jl*jk/jm

we have
jk=8,lk=4 and jm=6
jl=8+4----> 12

jn=jl*jk/jm-----> jn=12*8/6----> jn=16

the answer is
jn=16

6 0

3 years ago

Write an expression that shows how to multiply 7×256

rewona [7]

Hello! what I like to do is multiply by 10s and subtract the difference, so one thing you could do is 10x256-(3x256)! your final answer will be 1792, hope this helped! ;)

3 0

2 years ago

What are the values of a 1 and r of the geometric series? 1 3 9 27 81 a 1 = 1 and r = one-third a 1 = one-third and r = 1 a 1 =

Paha777 [63]

Answer:

a₁ = 1

r = 3

Step-by-step explanation:

Since it’s a geometric series then

a₁ = 1 ( because 1 is the first term of the series)

3/1 = 9/3 = 27/9 = 81/27 = 3 then r=3.

Step-by-step explanation:

6 0

2 years ago