STANIS 3, 4x+5 dx = 5.5. tdt (2+²-3j³/2₂ 6. Ss in ³2x cos2xdx

Q: Apply Gauss's theorem to evaluate. r.^ frds or ff. n.V(!) ds or ff - () ds Ən where S is any closed…

A: Given  ∫∫Sr.n^r3ds where S is any closed surface. By Gauss-divergence theorem,  ∫∫Sr.n^r3ds=∫∫v∫…

Q: find 1.c.m (108,64) pilers

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Q: Let y = f(x). (a) Write down the general formula for the equation of the line tangent to f(x) at…

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Q: (c) Consider the following integral I =ff (x + xy - xy — x² − y²) dA, - - D where D is a rectangle…

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Q: If the Wronskian W of f and g is t²e4t, and if f(t) = t, find g(t). NOTE: Use c as an arbitrary…

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Q: Find the general solution to the following Cauchy-Euler differential equation 2 x²y" + xy + 4y = 2x…

A: To Solve: The differential equation x2y''+xy'+4y=2xlnx.

Q: 3. Test the convergence of the series an Convergo ¹00 2n=1 n*+2n²+1 no +3

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Q: Must Solve using Langrange Multiplier a. Determine the solution to the following function: Maximize…

A: In method of lagrange's multipliers we find extrema of a function f(x,y) for a given condition…

Q: Choose the correct sum of the following geometric series Σn=09 (9)" O Option 2 O Option 4 O Option 1…

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Q: Suppose x represents the number of tons produced daily of interior paints and y represents the…

A: Solution:

Q: Use the trapezoidal rule, the midpoint rule, and Simpson's rule to approximate the given integral…

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Q: Compute the Improper Integral by Using the Residue +00 1 x² +24+2dx 2X

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Q: B)Convert r = √2 cos(0-) to cartesian.

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Q: (a) Assume that f(x, y, z) and F(x, y, z) are arbitrary differentiable functions such that f(x, y,…

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Q: 31 [D-1 D+91 9 B +10)}={} LD-2 2D + 91 1 D-21 13 {} B = 2 = ²16 ²410)} = (7) 10 [2D + 1 D + 3 D + 21…

A: According to our guideline, we can solve only first question of multiple questions. So,here we solve…

Q: Find the standard deviation for the grouped data. College Units Frequency 0-24 4 25-49 3 50-74 6…

A: Here we use simple method which is used to find deviation

Q: Use the Karush-Kuhn-Tucker method for the below optimisation problem and discuss any conclusions…

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Q: c. Given f(x) = 2x - 3, g(x) = -4x² + 9, h(x) = 4x² - 12x +9; find 1. f(x)* g(x) 2. h(x)/ f(x) .…

A: Sol 1 .    f(x)*g(x) 2x-3-4x2+9Apply FOIL method:  a+bc+d=ac+ad+bc+bd2x-3-4x2+9=2x-4x2+2x·…

Q: Using Euler’s Theorem, find the last two digits of 4444^3333

A: Let us find the last two digit of the given expression by using Euler's Theorem in the next steps.

Q: The temperature in Edmonton, over the course of a year, can be approximated using the sinusoidal…

A: The given sinusoidal function is: Tx=16.11sin0.51x-1.75+9.14   ......(1)where T is the temperature…

Q: Q5A) Find volume of body from above Z = √√4 - x² - y2 and below Z = 1 using Triple integration.

A: I

Q: Struggling with SOHCAHTOA. Can somebody help me? Please include an explanation. Thank you in…

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Q: The following diagram shows the parallelogram ABCD. B A D Let AB =p and AC=q. Find each of the…

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Q: . For each graph, determine the number of edges, the number of vertices, the number of vertices that…

A: Since you have posted multiple questions and we can answer one question. So, answering the first…

Q: Determine whether there is a relative maximum, a relative minimum, a saddle point, or insufficient…

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Q: Obtain the 5th term of the power series of sin(x) for a value of x = 4.55.

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Q: Q4A) Find area bounded by y = 0, y = √x - x² using double integration.

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Q: B)Convert r = √2 cos(0-) to cartesian.

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Q: Fernando runs a restaurant that sells two kinds of desserts. Fernando knows the restaurant must make…

A: Please see the attachment

Q: (b)Prove the inequality x² + x² + ... + x² n AI 2 xn ( ³²₁ +2²₂ + ... + x n ) ² n

A: Sol

Q: Q1A)The vectors A = 3i+j+ 4k, B = 2i - 3j-k, find vector normal to A and In plane of A and, B.

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Q: A can for vegetables is to have a volume of 250 cm³. The material for the top and bottom of the can…

A: We have to determine the total cost of the can that minimizes the cost of materials.

Q: (Q1) Which of the following statements is true for all non-empty subsets X of the real numbers?…

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Q: Find the general solutions of the system. 110 3 0 1 1 0 001 1 000 1 (t) = [ X

A: We solve by eigenvalues and eigenvector method.

Q: | |m8xy + x)dxdy=3, 0<y<x<1

A: The given equation is ∫∫m8xy+x2 dx dy=3,      0&lt;y&lt;x&lt;1. To find: the value of m.

Q: 10. I. In the Cartesian coordinate plane, single integration produces an area under the curve (or…

A: To Select: The correct option.  I. In the Cartesian coordinate plane, single integration produces an…

Q: Berno deposits $30,000 into an account paying 3.25% annual interest, compounded quarterly. How much…

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Q: Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below. y" -…

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Q: Prove that 10585 and 294409 are Carmichael numbers.

A: We have to prove that 10585 and 294409 are Carmichael numbers.

Q: solve partial differential equation r-4s+4t=0

A: Given PDE is r-4s+4t = 0

Q: 4. The height of a sunflower was recorded every seven days as it grew. Day 7 14 21 28 35 42 Height…

A: Here we find the exponential regression equation for the given data using normal equations. And then…

Q: Q5A) Find volume of body from above Z = √√4-x² - y2 and below Z = 1 using Triple integration.

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Q: [2D+3 ID+1 11 [2D. D + 41 D+21 +40}={¯ cos

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Q: Give counter exampe that every cauchy is convergent then such space is called complete space please…

A: To show: an example such that every Cauchy sequence is convergent but the metric space is not…

Q: .a. Is the set of vectors W = {(x,y,z) x,y,z € R,x=z+2} subspace of R³?

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Q: 3. Josephine is purchasing a used car. Her bank has offered a loan of $5000 at 5%/a compounded…

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Q: (a) Let f(x, y) be defined on (a, b) × (c,d). (i) Give an example to show that existence of partial…

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Q: olve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below. y" +…

A: In this question, the concept of Laplace Transform is applied. Laplace Transform The Laplace…

Q: Use algebraic method to solve games matrix: الحرية ام 1.5 1.4 1.9 1.4 1.9 1.5 1.9 1.5 -1.4 1.4 1.5…

A: As per the question we are given a 4×4 game matrix and we have to use the algebraic method to solve…

Q: 12. Use polar coordinates to find the volume of the solid inside both the cylinder x² + y² = 1 and…

A: Note: We are entitled to solve only one question at a time. As the specified one is not mentioned,…