Show that the function f defined by (x, y) = (1, – 1) f (x, y) : x2 + Y (x, y) + (1, – 1) x + y is not continuous at (1, –1).

Q: Show that the function f defined by (x, y) = (1, –1) f(r, y) = { x2 + y (x, y) # (1,–1) r + y is not…

A: To show that the function f defined by fx, y=1, x, y=1, -1x2+yx+y, x, y≠1, -1is not continuous at 1,…

Q: C08QX dX

A: solution:-∫cos3x dxwe know that cos3x=4cos3x−3cosxcos3x=cos3x+3cosx4=∫cos3x+3cosx4 dx

Q: SOLVE THE FOLLOWING HOMOGENOUS LINEAR DIFFERENTIAL EQUATION. SHOW DETAILED AND COMPLETE SOLUTION.…

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Q: a) Let E be the solid that is above the xy-plane, enclosed by z = 18 and = 2. Evaluate the following…

A: Given integral E be a solid above xy-plane and enclosed by z=18 and z=2r2   and triple integral…

Q: Given the graph of f, determine the signs of f(a), f'(a), and f"(a). + + + a b d. /f(x) f(a) is […

A: Given the graph. Determine the sign of f(a), f'(a) and f"(a).

Q: af Given the function f(x,y,z) = x cos z +x*y*e" , determine dz

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Q: Find the volume of the solid in R' bounded by y = x2, x = y?, z = x + y + 27, and z = 0.

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Q: Let D={(x,y,2) : x2+y2+z?s 1600, z2 o}. Evaluate - z dv.

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Q: Find the radius of convergence and the interval of convergence of the series. n!x" 1.3.5 ... (2n –…

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Q: The following triple integral gives the volume of the solid that lies above the xy-plane, under the…

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Q: 1. (3 - 14)3 =? (Put your result in polar form)

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Q: Evaluate the integrals in the following questions using integration by parts for In (x + x²) dx

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Q: Calculate the left rectangle approximation of 3x- dx using five subintervals.

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Q: Solve limp2 23 –4x2 +4x 3x4 –12x3 +12x2 -

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Q: EXERCISE 4 Find Vf(P) and D7f(P). (a) f(r, y, 2) = y² + z² – 4xz; U = } i – § j+ ; P(-2,1,3) %3D (b)…

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Q: Find the equation of the tangent line to the graph xy^2 − 2y = x^2 at the point (2, −1).

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Q: Ed has a rectangular garden along a bank of a river. He plans to enclose it with a fence with a…

A: Note: The area of a rectangle A = length × breadth = xy

Q: Using integration, derive the Laplace transform of: * L(sinh at)

A: This is a problem related to integration. based on the general formula and concept we will answer…

Q: Fnd the magnitude of the resulting force. Round to the nearest Newton. B: 11.1 N, 111° A: 10.0 N, 0°…

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Q: If E is the solid that lies under the plane z = 3 which its base on the xy-plane is between the two…

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Q: Solve the following indefinite integral. Show complete solutions. Please make sure that your…

A: Solving the problem by finding the value of integration.

Q: f (x) = ex ln(5x) - ex^3 +2 + log(e2x^2), find f '(3)

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Q: Find the interval of convergence of the series. Sn=00 (z-8)" n=1 n+8 O -1 < x < 1 O - <z < -00 <x<…

A: We ahve to find the interval of convergence of the series.…

Q: ind the point/s of intersection of each of the following figures given below, draw the element and…

A: Area

Q: (a) Use the Second Derivative Test to find the local extreme values of the function f(x) = (x³ +…

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Q: Find the Taylor series generated by f at x = a. f(x) = x3 + 8x2 + 7x + 6, a = -2 O (x + 2)3 - 2(x +…

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Q: Let f: R->R be a continuous function that is convex on (-∞), 0] and [0, ∞)) and has a local maximum…

A: We have to show that function f is not differentiable at the point 0.

Q: .2 1 27 36

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Q: Evaluate using a table of integration formulas. 5 dx 24) XV36 - x2 X-6 +C X +6 A) In +C B) In 12 6 -…

A: Solve the following

Q: DUseThe Runge-Kutta Method SoNe the: dy X(i+メ)yco)=3 hこo.2

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Q: 6. (A) not a function (C) function; domain: [-1,0] (B) function; range: R (D) function; domain: [-1,…

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Q: A person stands at a window on the 9" floor of an office building. He measures the angle of…

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Q: Question 1 (a) Use the Second Derivative Test to find the local extreme values of the function f(x)…

A: 1. (a) We analyze the following function with the second derivative test: f(x)=(x3+8)4 Now we find…

Q: Identify the number of petals of the graph r = 9cos20. a. One petal b. Two petals C. Three petals d.…

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Q: nP 00 クの In=1 2+n3

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Q: 12r+ 30 -dx- x²+2x-8 Let In M = %3D What is the value of M? O (x+4)3 +C (x-2)9 O (x-4)²(x+2)° O…

A: Given lnM=∫12x+30x2+2x-8dx

Q: First question: Find the inverse and determinate of the matrix A = [??H] -1-3 1 3 60 1 0 1 ||

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Q: Evaluate the followina intearals. Show all the necessary or complete solutions. 1 3. - x² dx

A: Given :∫01x41-x2dx

Q: number 3 please...clear solution

A: Topic:- limits calculus

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

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Q: Evaluate the following integrals. Show all the necessary solutions. 5 - 4x² dx 4. 3 + 2X

A: Here we have to integrate the given Integral.

Q: 8 +3 dx Vx2 + 36 t,

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Q: Evaluate: Poe Adh a. e O b. C. e O d.

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Q: Find the area of the triangle determined by the points P, Q, and R. Find a unit vector perpendicular…

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Q: Find the min and max values of the function f(x) = x^8/3 − 16x^2/3 on the interval [-1,8].

A: Given, f(x)=x8/3-16x2/3

Q: Find k such that the vertical line =k divides the area enclosed by y= Vx y=0 and x=5 into equal…

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Q: Let U be the universal set of natural numbers less than 11. Consider the following two sets. A = {2,…

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Q: Find the area of the region bounded by the graph y = sin x, y = 0, x = 0 and x =3π/2. Sketch the…

A: Here we have given following equations : y=sinx,  x=3π2 and y=0, x=0

Q: S 2æe3= dx ,3z 9.

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Q: Consider and know that the function g defined by 1 g(x, y) = cos (TX /y) + log3(x – y)* Answer the…

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