(a) Consider the series For which values of a > 0 does it converge and for which does it diverge?

Q: Solve the following linear-quadratic system. Include full solution. y=x^2-6x+3 and 2x-y=13

A: We have to solve the given linear-quadratic system. This implies that we have to find the point of…

Q: A bacteria culture initially contains 3000 bacteria and doubles every half hour. Find the size of…

A: The exponential growth of any polpilation is given by the equation -y(t)=y0ektwhere y0 is the…

Q: A pickup truck and Lamborghini enter a highway running east-west at the same exit heading in…

A:

Q: Solve the system 1 +x2 -3 x2 +x3 X3 +x4 -4 +x4 +s

A: To find- Solve the system x1 + x2                 = 1        x2 + x3         = -3                x3…

Q: A bacteria culture initially contains 1500 bacteria and doubles every half hour. Find the size of…

A: We have to Find the size of the bacterial population after 80 minutes and Find the size of the…

Q: find how a system of linear equations can be used in everyday life. Explain why you chose this…

A: A system of linear equation can be used in various everyday life scenarios, ranging from finance to…

Q: A bacteria culture initially contains 2500 bacteria and doubles every half hour. Find the size of…

A: Population model

Q: A two digit number is four times the sum and three times the product of its digits .Find the number

A:

Q: Solve and Graph the solution set of the system.

A: The given inequalities are  x+y≤4y>2x-3

Q: Solve the system: X- X, +2x3 + x4 = 0 2x - 3x, +4x3 = 5 X + x, + x3 = 2 4x, - 4x, +8x, +4x, = 3

A: The system of the linear equation can be solved using the gauss jorden method. The augmented matrix…

Q: Solve the system X3 EE {4 x₁+x2+2x3= 1 4x1+5x2+4x3=-2

A: Let us consider the given system of the equation Ax=B. Solve the equation using an augmented matrix,…

Q: A bacteria culture initially contains 1500 bacteria and doubles every half hour. Find the size of…

A:

Q: Find how long it takes Louis Camella to drive 420 miles on I-10 if he merges onto I-10 at 5pm and…

A: Given 1.Starting time =5 pm 2. Total distance, D= 420 miles 3. Speed, S=70mph

Q: A bacteria culture initially contains 2000 bacteria and doubles every half hour. Find the size of…

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.