Question No.5 Discuss the concept, advantages and disadvantages of Gaussian Quadrature in numerical integration.

Q: - 4( Let u(t) = 8t i+ (-9)j-8k and v(t)= e'i+9 ej- e "k. Compute the derivative of the following…

A: topic - dot product and derivative of a function

Q: 11

A: As per policy only first question is answered. Please refer to the image below

Q: 4(-0.1)(120)= 12 니

A: The simplication is given below:

Q: Find the volume of the solid above the region D={(x,y) : 0s Xs V27, 0s ys 27-x2) and between the…

A: Let's find.

Q: 2 | Vxe-*dx хе ах

A:

Q: Write each of the other trigonometric functions of e in terms of cos(@). (Enter your answers as…

A: We can solve this as follows:

Q: Find the inverse Laplace transforms of the following functions: 2s A) s2 + 25 2s2 +6 B) s3 +25s

A:

Q: Lagrange Multipliers to solve the following: Maximize f(x, y, z) = 4x + 2y + z subject to a? + y +…

A:

Q: Solve the system. Use any method you wish. 9x2 - xy + y2 = 11 2x + y = 4 List all the solutions.…

A: In this question , we can find the solutions of the given system .

Q: 3 of its radius. 4 Mohamad Salah poured orange juices into a cylindrical red tank whose height f the…

A: Topic:- application of derivatives

Q: In AABC, mZA = 32°, mzC = 110° and %3D side c = 750. What is the approximate %3D length, to the…

A: To find out the length a.

Q: ind the area under the given curve over the indicated interval. 15) y =ex; [1, 2] 4. 3. 2 A) e2 -e…

A: We have to find the area under the curve.

Q: Consider the function f(x) = x² -1 (a) Find the intercepts of the graph of f (if any). (b) Find the…

A:

Q: 24. Evaluate f(1.25) (A) -2.25 (C) 2.25 (В) —1.25 (D) undefined 25. Evaluate f(3) (А) -2 (C) 1 (В)…

A:

Q: Directions: Read the problem carefully and answer the questions that follow. The population of a…

A: Topic:- exponential growth function

Q: 1) A box containing a group of balls (blue and red) totaling 25 balls. If nother Five blue balls are…

A: Topic:- probability

Q: If cos e = and tan e < 0, 25 what is the value of csce? 25 24 A B 24 25 24 25 C D 25 24

A:

Q: Lagrange Multipliers will be used in order to solve the following: Maximize f(x, y, z) = 4x + 2y + z…

A: We want  to maximize the function.

Q: Use the Euler, improved Eule and Runge-ku 6. methods to solve the following ODES: ソ=(1+ ) りく) = e

A:

Q: Point P is rotated 210° counterclockwise around a circle with a diameter of 20 meters. If the center…

A:

Q: s-3 F(s) = The inverse Laplace Transform of is O f(1) = sin 3t –3 cos 3t O f() = 3 sin 3t-3 cos 3t…

A:

Q: ĐUse the fuler method's Solve the: 5.525ー0 ら10)=1 hこer

A:

Q: Evaluate the difference quotient fla + h) – fla) for the function f(x) = 2x²- 3. 4а + 2h 4а + 2h - 6…

A: Given: f(x)=2x2-3

Q: Find the area under the graph of the function over the interval given. 18) y = 2x +7; [1, 5] A) 18…

A: We can find the area as below.

Q: Find the measures of the angles of the triangle whose vertices are A = (- 1,0), B= (2,1), and C= (2,…

A:

Q: Find the length and direction (when defined) of u×v and v ×u. u = 7i- 2j - 8k, v=8i – 8k

A: length

Q: where R io the region inside the cree Evalate in poar coordinato the integrad:

A:

Q: Find the differential equation having as solution of y = x sin(xtc) .

A:

Q: Given an acceleration vector, initial velocity (uo,vo), and initial position (Xo.yo), find the…

A:

Q: EXERCISE 2 Consider f(x, y) = 3x² – 4y² and = = cos T î + sin 7 ĵ. Use the Theorem above to find the…

A: This is a problem related to vector calculus. Based on the general formula and concept we will…

Q: 1. Evaluate the following integrals. 3r5 (a) / dr V2 – x3 2" + e2" sin(2") sin(2=) dx 2x +3 (c) / dx…

A:

Q: Prove that 17 is the only prime number of the form n- 64.|

A:

Q: loof yadT h 5: A party planner is trying to hang a sign between a house and a palm tree for…

A:

Q: 3. The price-supply and price-demand equations of a certain product are given by p = S(x) = 15+0.1x…

A:

Q: Using Lagrange multiplier method to find the maximum and minimum value of the function f (x, y) = x²…

A:

Q: 5. L.V4– 2x dx dx 5x+2 6.

A: Topic = Integration

Q: -dx 8a2+5

A: We know that integration of (1/x) is( lnx + c) .     Here i attached the solution of this question.

Q: Find the following for the vectors u= 10i – 8j + V5k and v= - 10i + 8j- /5k. a. v•u, lv], and Ju| b.…

A: This is a problem related to vector's dot product. Based on the general formula and concept we will…

Q: Find the volyme oF the solid Formed by revolving by the graphs of y=x< +I, Y=O the region bounded…

A:

Q: C. Determine whether each of the following is true. 1. 7 ≡ 12 mod 5 2. 3 ≡ 24 mod 7 3. 33 ≡ 15 mod…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: Use the Euler , improved Euler and Runge-kutta nethoods to solve the following ODES : y - y tan x =…

A:

Q: -8 dx Se-2-7 10.

A: Solving

Q: dy 2. When does the differential equation Cekt represent exponential growth? exponential dt decay?

A: We need to explain growth and decay.

Q: Two plate are joint by three rivets of 15 mm diameter. What is the shear stress in the material if…

A:

Q: Estimate the value of integral 3 to 1 dx/x

A: Given,  ∫131xdx

Q: 50 ee the wWind, a plane would fly due east at a rate of 150 mph. The wind is blowing southeast at a…

A:

Q: x2 -9x+11 dx 7. r+6

A:

Q: 11 7

A:

Q: The series 32n-54-1-2n is n=1 Select one: а. is a divergent geometric serie O D. is convergent but…

A: Topic:- sequence and series

Q: (D2 + 4)V=4 cot 2x

A: