We will determine whether the series Σ 4+ In (3 + n)4 an is convergent or divergent using the Limit Comparison Test (note that the Comparison Test is difficult to apply in this case). The given series has positive terms, which is a requirement for applying the Limit Comparison Test. First we must find an appropriate series On for comparison (this series must also have positive terms). The most reasonable choice is b, (choose something of the form 1/n? for some number p, so that b, is a p-series). Evaluate the limit below - as long as this limit is some finite value c > 0, then either both series Ean and E b converge An or both series diverge. lim n00 b, From what we know about p-series we conclude that the series b, is (enter "convergent" or "divergent"). Finally, by the Limit Comparison Test we conclude that the series Ean is "divergent"). (enter "convergent" or

Q: Simplify (5x3 / y)-2

A:

Q: find 3x2 + 2y = 5, 2x2 + 3y = 10.

A:

Q: Not sure how to start this  x^2=8x+4 Completing the square  x=

A: Given  x2=8x+4 Solve the equation by completing the square method x2=8x+4subtract 8x from both…

Q: y-14 = -10 + 12/y

A: It is a quadratic equation question. In this we will take LCM first then we will solve the quadratic…

Q: find the value of x 3x-8 = 2x+5

A:

Q: Solve ,  5(x-6) = 4(x+8)

A: The given equation is 5x-6=4x+8.

Q: (a) Find the general solution in terms of real functions. (b) From the roots of the characteristic…

A:

Q: 2) y> 3x2 本y 12 10

A: The solution are next step

Q: x^(2)+y^(2)=25 8 units left and 4 units down

A: Given Equation:- x2+y2=25

Q: 3+3区

A: Use substitution

Q: Can you also do d-g please?

A: commnet: As per the our company guidelines we are supposed to answer only three subparts. Kindly…

Q: a^2+5a=0 2 solutions.

A:

Q: 3. L:5

A: 3x-12=5

Q: 8A · 19^.

A: The given expression is 64·83. The following rule is used in simplifying the given expression.…

Q: Brad solved the equation x^2+6x=0 this way: x^2+6x=0 subtract 6x from both sides x^2=-6x the he…

A: The equation is x2+6x=0.

Q: Cancer-detecting dogs. A study was designed to detemine whether dogs can be trained to identify…

A: A hypothesis test for a proportion is used when you are comparing one group to a known or…

Q: Simplify  3-1/y-5/4/y-5

A: Observe the following fact.

Q: 3. What is the quotient and what is

A:

Q: 4 4x2 + dx

A:

Q: X^2+11х+30-0

A: This is a question of solving quadratic equation

Q: SV4 cscox – 4csc*x dx

A:

Q: Evaluate: 6x -8x +18x-27 x* +9x?

A: This integral can be solved by the method of Partial fractions. The process is explained in step 2.

Q: 3 3 -%=D= x+2 |

A:

Q: 1. Find the relative extrema of y = 60x1 + 34x2 – 4x1X2 – 6x – 3x3+5 - -

A: Explanation of the answer is as follows

Q: y = 7.8x - 13.2 Complete the ordered pair (10, ) Answer as an ordered pair with no spaces.

A: Answer -  Given y = 7.8x - 13.2      Complete the ordered pair (10,    )

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.