Find the function satisfying the differential equation f′(t)−f(t)=3t f′(t)−f(t)=3t and the condition f(1)=−1f(1)=−1.

Mathematics

1 answer:

Colt1911 [192]4 years ago

7 0

Try this solution (see the attachment).

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Marty is 31 years younger than 6 times his friend Warren's age. The sum of their ages is less than 11.

TEA [102]

M = 6w - 31
m + w < 11

6w - 31 + w < 11
7w - 31 < 11
7w < 11 + 31
7w < 42
w < 42/7
w < 6

oldest age warren can be is 5...but I do not see how that is possibly because if warren is 5, then marty is : 6(5) - 31= 30 - 31 = -1

unless u make warrens age 5 1/2....making warrens age 2...wait, that wont work because u need a whole number

4 0

4 years ago

12x - 3≤ 59 AND 6x +4> -2

polet [3.4K]

The value of linear Equations and Inequalities x is $5.16\geq x > -1$

linear Equations and Inequalities:

A linear equation is an equation of a straight line where the power of the variable is 1. It is expressed as ax + b = 0, where x is the variable and a and b are integers. Inequality is a statement of comparison between two expressions. Linear Inequations are two expressions where their values are compared by the inequality symbols such as <, >, ≤ or ≥. One variable linear equations and Inequations have only one solution or one root. Examples of one variable linear equations and inequations are x = 4, 2a + 3 = 9, 3x < 2 , 4y - 5 > 6. etc

Method :

For solving a linear equation or inequality having only one variable, the following steps are followed, while still balancing the equation.

Add or subtract like terms

Isolate the variable

Transpose or eliminate the terms

Verify the answer.

Solution :

$12x - 3\leq 59\\12x\leq 59+3\\12x\leq 62\\x\leq \frac{62}{12} \\x\leq \frac{31}{6} \\x\leq 5.16\\\\\\6x +4 > -2\\6x > -2-4\\6x > -6\\x > -1\\\\5.16\geq x > -1$