H⋅w. and dwy for the following functions du OX ०५ 2 x+3y² e I_ _w=x²³ tan! ( _ x² + y² 2- W x+y √x² + y² 32 3 - w = 4 x ² + 6x³y² + 2x²y² + y ²4 4. w = cash³ (cot ( √5)) 3 -X 5-W=Ln(x²+2xy). CSC (x² +Yx²) e sin (x+y) ze du

Q: 4) USE THE 2 0 2 0 A 1 0 || GAUSS-JORDAN -3 0 -1 2 - 4 1 1 1 -3 -4 REDUCTION METHOD (SINE PROCEDURE)…

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Q: 7) FIND THE THE FIRST COLUMN OF THE INVERSE USING FACTORIZATION (ROW wwwww OPERATIONS) 1 13 -1 3 1…

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Q: 3. Let R be the region below bounded by the parabola y = 4 - 2² and the lines 3x - 2y +3=0 and y =…

A: The region R is bounded by the parabola y=4-x2 and the line 3x-2y+3=0 and y=0.

Q: 1. The Maximum point of y = (x²+2x+10) (x-3)

A: For relative maximum or minimum To maximize or minimize  a function f(x) 1st we need to find its…

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A: The general formula for the sequence is already calculated as Tn=12nn+1. Use this formula to…

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Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

A: Given z=4-x2-y2, z=-1

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A: For the given curve we have the following vector valued function: R⇀=2cost. 1+sint,…

Q: 3. Let n be a positive integer and let k be an integer satisfying 0 ≤ k < n. (a) Explain what the…

A: Solution : a) Stirling number counts, For non negative integers k and n, S(n, k) is  equal to number…

Q: 3. Solve the following differential equations using Laplace transforms: d³x d²x dx + + dx d²x b. +x=…

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Q: 5. Find the coordinates of the points on the cross sectional curve of the intersection of the cone 2…

A: Given equation of cone and plane is  z=x2+y2⇒fx,y,z=z2-x2-y2…

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Q: (d) Show that for all integers n > 1 S(n, 1) = 1 = S(n,n), then, using the above relation (or…

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Q: Find area inside 3 3 cose and outside r = 3

A: This is a problem of area under polar curves.

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Q: Solve for Newton's Backward formula to find the interpolating polynomial of degree which…

A: Solution : Newton's backward difference method, y=f(x) Table for x and y x -1 1 3 5 y 1 -1 2 -2…

Q: 15. M is the midpoint of line segment PQ, and R is the midpoint of TS. If PM = MQ = a and TR = RS =…

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Q: Let f(x) = 2x² - 4x + 5. Use the € – 8 definition to prove that lim 2x² - 4x + 5/8. x→-1 Definition.…

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Q: B CX 1. Establish two perspectivities so that a projectivity is established between A, B, C and A',…

A: Solution:  1.) Using the Desargues theorem, projectivity is established between A, B, C and A', B',…

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A: Introduction: The formula of arc-length of the polar curve from a to b is given by,…

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Q: I. Solve for the following quantities given the matrices below. 3 -5 1 L= 0.5 1 3.5 2 0 4 -j3…

A: Dear Student,"Since you have posted a question with multiple sub-parts, we will solve the first…

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A: Solution :- this graph is  r=a sin(2theta)

Q: 1. Let T: R³ R³ be the linear transformation given by X1 (B)-E x2 x1 + 2x2 + x3 x1 + 3x2 + 2x3 2x1 +…

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Q: Let X = {a,b,c,d} and Tx = {X, Ø, {a}, {a, b}, {a,b,c}} be a topology on X. Let y = {1,2,3,4} and Ty…

A: I have used the definition of continuous function in topological space.

Q: If F(x) = ["* e¹² dt, find F(1) and F'(x).

A: If y=f(x), then x is called the input, and y is called the output of the function.  The derivative…

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Q: C64220 4) Find the volume of the solid whose base is the triangular region with vertices (0, 0), (0,…

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Q: 2. Evaluate: √₁² √2 - x + x da −

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Q: Evaluate: 0 V|2 − r|+dr -2

A: In this question, the concept of Integration is applied. Integration Integration is a method of…

Q: 7. Prove: if lim,+ f(x) = L, and lim₂+ g(x) = M, then lim f(x) · g(x) = LM. DE-I

A: To provide: A counterexample of the statement: If limx→af(x)=L and limx→ag(x)=M Then,…

Q: 3. Let R be the region below bounded by the parabola y = 4 - ²2 and the lines 3x - 2y + 3 = 0 and y…

A:

Q: 41. Find the interquartile range from this box-and-whisker plot. 10 31 68 80 A. 31 B. 21 C. 58 D. 80

A: We know , Interquartile range = Q3 - Q1

Q: 2. Let X be a normed space and UC X a closed subspace. The subspace U = {X E X' | Vu EU: X(u)=0} is…

A: Suppose that there existx∈U⊥⊥:=x∈X : fx=0, for all f∈U⊥ such that x∉U.¯Evidently, x is not zero.…

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Q: use Newton’s Method to find all the roots of the given equation accurate to six decimal places.

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Q: congruent. Complete the statement with always, sometimes, or never. (a) The pre-image and the image…

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Q: variation equation, and use it to solv er tubing varies jointly with the leng ameter tubing costs…

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Q: Paper sheets are required to make a stack of 8cm height. Each paper is 2.5x10-4. How many are…

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Q: DO NOT USE A CALCULATOR IN THIS QUESTION. 10+2√5 The point (1-√√5, p) lies on the curve x² answer.…

A: given point 1-5, p and the curve y=10+25x2

Q: 2. A BLOCK IS RESTING ON AN INCLINE OF SLOPE 4:3 AS SHOWN IN THE FIGURE BELOW. IT IS SUBJECTED TO A…

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Q: Using any of the methods discussed for both numerical differentiation and numerical integration…

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Q: The ellipse with the given equation is centered at x² +9y² + 3x - 18y + 9 = 0 3 9 (²/₁₁) (²17,¹1) 2…

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Q: 3) USE GAUSSIAN ELIMINATION 2 -1 1 -1 0 13 0 A = 1 0 - 4 -2 0 1 -1 4 (ROW-ECHELON FORM/UTM) [LAST…

A: We have to find the solution to the given system using the Gaussian Elimination method.