Problem 5. the Ratio Test. (a) 8 n=1 πn n! State whether each of the following series converges or diverges using (0) Σ n=1 n! πn

Q: 1- The polynomial 6x³+mx+nx-5 has a factor of x+1. when divided by x-1, the remainder is -4 what are…

A:

Q: Let W be the subspace spanned by u₁ and u₂, and write y as the sum of a vector in W and a vector…

A:

Q: Evaluate SfF.ds where F = (3xy², 3x²y, z³) and M M is the surface of the sphere of radius 3 centered…

A: We will use divergence theorem to find surface integral of given vector field  If region R bounded…

Q: dr (linear differential equation) Solve:- de +rsec 0 = cos 0.

A:

Q: Find the inverse laplace 1.) F(S)= 5-2 5-45+5 laplace transform

A:

Q: V J K -8-6 W L Y M -4-2 X 6 4 2 O 2 -4 -6 y A B 2 4 C D 6 8 X

A:

Q: 4. Describe, with examples, how differentiation, limits and integration are used in real life.

A: In Latin, the word 'Calculus' refers to the 'small pebble'. It is named Calculus as Romans was using…

Q: The Principle of Inclusion-Exclusion can be used to solve the following problems. 1. How many…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: -2 O -1 2 2 3 5 6 (b) g reaches a local minimum 8 . Now assume the above graph shows a derivative…

A:

Q: Find the volume of the solid bounded below by the circular cone z = sphere x² + y² + z² = 7z. 1.5√x²…

A:

Q: The data in the table shows the number of mother-to-child HIV infections diagnosed in the United…

A: Let x be the number of years after 1985 and y be the number of cases. 1. Create a scatter plot of…

Q: The region bounded by the curves y = 2x and y = r² is rotated around a. the x-axis; b. the y-axis;…

A:

Q: Explain why if an converges, then limn→∞ an = limn→∞ an+1. With proof!

A:

Q: Find all complex numbers z such that 2²=-12+16i, and give your answer in the form a+bi. Use the…

A:

Q: II.4 There are 5 women and 5 men elected for president. Find the following conditions: A. How many…

A: Given:Number of men=5Number of women=5

Q: The following table shows the distance D, in miles, which you can drive on $1 worth of gas as a…

A: (a) The power regression equation is given by y=axb, where x is the cost in dollars of a gallon of…

Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 2 -…

A: Solution:-

Q: Apply the optimization process of the following assignment model. Make the assignment schedule.…

A:

Q: Find the point at which the line F(t) = (-2,−1, 6) +t(-4, 7, 1) intersects the xy plane. Question…

A:

Q: Consider a 30 cm elastic string that's been attached securely at its endpoints, with a velocity of…

A:

Q: Prove that H has zero divisors.

A:

Q: Initially a tank is filled up with 150 gallons of water in which 300 lb of salt is dissolved. Brine…

A: Initially the tank has 150 gallon of water. 300 lb of salt is dissolved. Brine with concentration 1…

Q: 5. Find a value of ¤ such that 1 = 3. Plug this ä into ao + ª₁x + a²x² + A3x³ + a4xª + a5x5 + α6x6 +…

A: Given 1+x1-x=3 ∴1+x1-x=3⇒1+x=3-3x⇒4x=2⇒x=12

Q: Two regular 6-sided dice are tossed. Compute the probability that the sum of the pips on the upward…

A:

Q: Use the divergence theorem to calculate the flux of the vector field F(x, y, z) = 4xyi + 5yzj + 2xzk…

A: The given problem is to find the flux of the given vector field through the sphere of radius 4…

Q: k n = ( 2 ) · ( 5 ) = ( 7 ) · (2 – 7 ) for k k-r Prove Newton's Identity: for n ≥k≥r≥ 0.....

A:

Q: Define T:R2 R2 by T(x) = Ax. Find a basis B for R2 with the property that [T] is diagonal. A = 51 15…

A:

Q: 5.1.3. Show that (a₁ + a2 +. + an)² ≤ n (a² + a² + · Hint: Use the CBS inequality with x = α1 XX2 On…

A:

Q: 8. Use strong induction to prove that any amount of 10 cents or more can be formed using only 3-cent…

A:

Q: Please answer 1.J , 6, and 10

A:

Q: Find the area of the region bounded by the graphs of the equations. Use a gra answer to three…

A:

Q: b. CON (2) and C is the positively oriented circle -

A:

Q: Refer to the function: f(x) = [x], determine f(-3.6) .

A:

Q: The balance in a bank account is given by the formula B=120x1.02t. Here B is the balance in dollars…

A:

Q: If the statement is true for all sets C and D, write "true." If it is not true for all sets C and D,…

A: Given: C≠∅U≠∅C⊂U We have to check that if U⊆∅ is true or false.

Q: Calculate the integral approximations T₁ and M₁ for ſ³ x² dæ.

A:

Q: Consider the parametric curve: x = 6 sin 0, The curve is (part of) a circle and the cartesian…

A:

Q: Advanced Math (UPVOTE WILL BE GIVEN. PLEASE WRITE THE COMPLETE SOLUTIONS. NO LONG EXPLANATION…

A:

Q: 4. For the following function, determine all the intercepts, equation of all asymptotes, and the…

A:

Q: We studied the Lotka-Volterra model for predators and preys in class. There are systems of…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: (a) Calculate the flux of the vector field F(x, y, z) = 3i – 9k through a sphere of radius 2…

A: We will use divergence theorem to find flux through the sphere of radius 2 centered at origin .

Q: Find the gradient vector field (F(x, y, z)) of ƒ(x, y, z) = µ³x+2y+7z e F(x, y, z) = =

A:

Q: Rewrite the following without an exponent. (-5)-3 ㅁ 음 X

A:

Q: If In(a) = 2, ln(b) = 3, and In(c) = 5, evaluate the following: (2) In (2² ( ₁-²/²) - ( (+) 6-2c (b)…

A:

Q: у соз=1 t у" -дув +2y =130 све у '%) =3

A:

Q: 1. Interior Design Find the cost of plastering the walls of a room that is 22 ft wide, 25 ft 6 in.…

A: Solution:-

Q: Suppose that the power series ₁ (2-2) converges when a = 0 and diverges when x = 7. n=0 The smallest…

A: Given power series is ∑n=0∞cnx-2n

Q: a 24 T r(5)r(7.25) b. foet t'dt C. dx So √-in(x) . Evaluate using Gamma Function:

A:

Q: Due to employee safety negligence at a nuclear waste facility, 2000 tons of a hum 1) (8 radioactive…

A: Solution:-

Q: Find the inverse Laplace transform f(t) = L¯¹{F(s)} of the function F(s) = = You may use h(t) for…

A: