Use the approach in Gauss's Problem to find the following sums of arithmetic sequences. a. 1+2+3+4+...+99 b. 1+3+5+7+...+1003 c. 4+9+14+19+...+504 d. 706+699 +692 +685 +...+6 a. The sum of the sequence is

Q: Solve and clasify the ecuation systems that are shown according to its solution type. 3x - 6y = 9…

A: We have to find the solution and classify it.

Q: The current average price for gasoline in Belgium is 1.30 euros per liter. The current exchange rate…

A: In US, 1 gallon is equal to 3.785 liters.

Q: given Activity A & JOH 4 $ D E F G precedence activity IE, F Find critical path 1 ¢ A A B CD

A:

Q: 1/4 f O √x sinx ²dx

A:

Q: Q4: Show that: 1-If f is analytic and have zero of order n at zo, then f'(z)/f(z) has a simple pole…

A:

Q: analyze and sketch the curve y=x²(x-1)

A: Please see the attachment

Q: 2. Calculate the centroid of the thin plate R which bounded by r= 1, y = 0 and, z² + y² = 4.

A:

Q: 2. Consider the function F, that assigns x in its domain to x²-1 F(x)= |x-1| In its domain. a. What…

A:

Q: 8. Solve the linear system Ax-b by x₁ + x₂-3x₂ = -1 -x₁ + 2x₂ = 1 x₁ - x₂ + x₂ = 2 a) finding the…

A:

Q: Solve the system of differential equations X - 25x - 42y y' = 14x + 24y x(0) = − 7, y(0) = 5 x(t) =…

A:

Q: Q1: Locate the zeroes of the following functions and determine their order. 1) z4 + 10z² +9; 2) z³…

A: Find the zeros of the function and determine the order. 1) The given function is: z4+10z2+9 Factor…

Q: 2. Calculate the centroid of the thin plate R which bounded by r = 1, y = 0 and, 2² + 3²

A: We have to find the centroid of the thin plate.

Q: 21, find expressions fo ebesgue measure scaled by

A: The probability is this defined probability measure will be given as Pω∈a,b=b-a3. Now, we can the…

Q: evaluation and review technique. the formulation is called balanced transportation me del seeks the…

A: To explain the given statement as,

Q: Find a possible formula for the trigonometric function whose values are in the following table. X 0…

A:

Q: Convert 100 dollars to "widgets" (1 dollar = 3.94 widgets)

A: Given,        1 dollar=3.94 widgets

Q: D. Determine the number of incongruent solutions of each linear congruence. 6.37x = 1 (mod 249) 7.…

A:

Q: Show that the closure of a connected space is connected.

A:

Q: Equation y=(x-2)² + 1 y = (x+4)² +6 y=(x-4)²-1 VERTEX FORM OF A QUADRATIC RELATION "k" value and…

A: As per guidelines we are supposed to solve maximum three sub parts at a time.kindly post another…

Q: PROBLEM NO. 2 [1-j 1-j 1+. GIVEN: B= 2 j 1+J 1 FIND: DET B. A) 4+ 6/B) -4+ 6/C) 4- 6/D) -4- 6/E)…

A:

Q: GIVEN: f(x) = 2x³ - 2x² +10x+2=0 Using NEWTON'S METHOD, determine new estimate after 2nd iteration.…

A: Given- fx = 2x5 - 2x4 + 10x + 2 = 0 To find- Using NEWTON'S METHOD, determine new estimate after 2nd…

Q: prove that the diameter of aset is equal to the diameter of its closure.

A:

Q: y" + 3y² - 2 = e².sint (Variation of parameters)

A:

Q: Solve [3] - [ -50 = -13] [0] x(0) 30 - x (t) = y(t) = Question Help: Message instructor Submit…

A: Solving by matrix method

Q: 2. Calculate the centroid of the thin plate R which bounded by r = 1, y = 0 and, 2² + y² = 4.

A:

Q: 84. State four points where cos x = - infinite number of these points? H|2 Why is there an

A:

Q: Iteration method anx-x-2=0

A: The following steps are used to find the numerical solution of the equation fx=0 by the fixed point…

Q: interior. dz Q3: Compute the integral c z²+iz+2' clockwise direction and given by: a) C: Iz + 2i =…

A:

Q: Find the transition points. f(x) = x(7x)1/3 (Use symbolic notation and fractions where needed. Give…

A: Solution

Q: y"-2xy=0 solve it by power series

A:

Q: 2) Simplify √²√√y 3) Evaluate a) CAIFF. (3)ż (3) 32 b) 643 +164-42 c) 12

A:

Q: Determine if the function f(x) is continuous and/or differentiable at x = 5? x+5 for 5≤x≤5 f(x) = 2x…

A:

Q: Prove that the space of all real numbers is complete

A:

Q: Find the value of c for which the area enclosed by the curves y = c - x² and y = x² − c is equal to…

A:

Q: Determine if the function f(x) is continuous and/or differentiable at x = 5? x+5 for -5≤x≤5 f(x) =…

A:

Q: Convert 100 dollars to "widgets" (1 dollar = 3.94 widgets) 39.4 3940 394

A:

Q: 3- a) Find the area of the region in the first quadrant between, y = x and y = x² b) Find the volume…

A: We have to find area and volume of given region.

Q: Calculate the centroid of the thin plate R which bounded by z = 1, y = 0 and, z² + y² = 4.

A:

Q: (1) 84. State four points where cos x = infinite number of these points? . Why is there an

A:

Q: Solve the initial value problem ut +2ux = -tu(x, t), t> 0, x ER u(z,0) =sinx.

A:

Q: Determine if the function f(x) is continuous and/or differentiable at x = 5? x+5 for -5≤x≤5 f(x)= 2x…

A:

Q: xy" + 2y + xy = 0 find two linear independent solutions by using Maclaurin series

A:

Q: e formulation is called balance el seeks the determination of a

A: To explain the given statement as,

Q: function Q1: For, 0< |z| < 1, evaluate the following integral where g is analytic g(5) g({) inside…

A:

Q: Banach Lattice's Homework 1) State and prove kantorovich's Theorem.

A:

Q: 2. Calculate the centroid of the thin plate R which bounded by a = 1, y = 0 and, x² + y² = 4.

A:

Q: Solve 2 [-[-530] = x(0) = 6, y(0) = = - 22 10 1 [3] 1-18-18- 16 = +

A:

Q: 00 dollars to "wid

A: Answer= is 394 widgets in 100 dollar

Q: function Q1: For, 0 < |z| < 1, evaluate the following integral where g is analytics g(§) inside and…

A:

Q: Use Green's Formula to evaluate the line integral along the positively oriented closed curve C:

A: