an appropriate method. 1₁ Evaluate the integral using 1 x²√x² +9 dx

Q: Evaluate the two integrals given the graph. The two parts of the graph are semicircles. [₁50x 1°…

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Q: Express the following sum in sigma notation. Use 1 as the lower limit of summation and k for the…

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Q: b) [ Find the volume of the solid obtained by rotating the region bounded by the curve about the…

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Q: )Use Gauss-Jordan reduction to solve the following linear system: 2x1 +4x2-2x3 + x4 = 0 -2x1 -…

A: In this question we have to find the solution of linear system using Gauss Jordan Reduction Method.

Q: Find an explicit solution of the given initial-value problem. dy 12-13 y(4) = 4 dx

A: The given differential equation is dydx=y2-1x2-1 and y(4)=4We have to find the explicit solution of…

Q: True or False: True O False 5 5 X dx 5 X + +51n|√√x+C

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Q: Find the work done by the force field F in moving an object from P(-3, 7) to Q(7,5). 2x Y F(x, y) =

A: To find the work done by the force field F in moving an object from P-3, 7 to Q7, 5. Fx,…

Q: 16 5. (a) Find the constants a,b,c for the conic r = - 5-3 cose Sketch the conic.

A: We have to find the values of a, b, c and sketch the curve.

Q: Let f(x)= = 3x + 12 if x - 3 2 if x = -3 Select all statements below that you agree with. Note: You…

A: The given function, fx=3x+12if x<-3x+12if x>-32if x=-3

Q: The general term of the sequence is Select one: O True O False 1, an = 1-1 1 (-1)"+1 ,n21

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Q: obtain the differential equation of: Circles with center on the line y = -x and passing through the…

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Q: Evaluate ³*-2 dx 3x-2 e³x-2 + C O (3x-2) e³x-2 +C Ⓒ (3x-2) Ce³x-2 3x-2 3 + C

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Q: Use a finite sum to estimate the average value of f on the given interval by partitioning the…

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Q: Use the method of Lagrange multipliers to find the maximum and minimum of the function f(x, y) = y²…

A: Solution is given below:

Q: The graph below shows a transformation of y S 5 4 3 2 1 -5 -4 -3 -2 -1 -1 -2 -3 -4 y = 1 D 3 4 5 2.…

A: topic- equation of a function

Q: Find the points on the graph of f where the tangent line is horizontal.  f(x)=(x^2+8)(5-x) larger…

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Q: Graph the integrand and use known area formulas to evaluate the integral. 4 ja S (10-|x) dx -4 Use…

A: Topic = Area

Q: n n2 + 1 Σ;

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Q: I For the area bounded by the given curves: area in the first quadrant bounded by y= cos x, x=0, y=0…

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Q: Find the total area of the shaded region shown to the right given by the - T curve y = 3( sin x)√1 +…

A: Topic = Area

Q: Solve the given differential equation by separation of variables. xy + 5x - y -5 xy - 2x + 6y - 12…

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Q: (4) 3. Use implicit differentiation to find dy/dx of the following: x² - 5xy + y³ = 21

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

Q: 1. What is the best method to use given a differential equation with f(x) = sec x? A. Method of…

A: We have to solve the given question and find the correct answer.

Q: Use Stokes' Theorem to compute ff.xx where F = (x, xy, zy), and S is the upper half of the sphere x²…

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Q: i) Find the exact length of the curve 1 + 15 4x3 y = y = ii) Find the exact area of the surface…

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Q: Question 1 Use the method of Lagrange multipliers to find the maximum and minimum values of the…

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Q: Find the linear approximation L(x) of the function g(x) (1+x)1/3 at a = 0. Then use L(x) to…

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Q: Find the Tangent vector, the Normal vector, and the Binormal vector (T, N and B) for the curve r(t)…

A: This question can be solved using the concept of vectors and derivatives.

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: Evalúe el siguiente integral: .8 3.1 S³³1-√x -1 x 3 clx

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Q: Baseball cliamand is a sq 95 feet on a side. The pitching rubber is located 61.5 ft from plate on a…

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Q: Use the figure to evaluate the definite integrals y = g(t) K +t 1 2 3 4 5 2 y 1 + -1 -2- +2 +3 2…

A: We can find the area under a curve between two points can be found by using a definite integral.

Q: (3) (3) (4) h. y = sin(x² + 1) i. y = 3e4x5 j. y = In√5x3+4

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Q: Sketch the plane curve. r(t) = tr + t2j, [01] y 1.0 0.8 0.6 0.4 0.2 y 1.0 0.8 0.6 0.4 0.2 0.2 0.2…

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Q: Find the component form of u + v given the lengths of u and V and the angles that u and v make with…

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Q: Find the transition points. -x)1/3 f(x) = x(17 –) (Use symbolic notation and fractions where needed.…

A: To solve the following problem of finding the transition point.

Q: Find the area bounded by the parabola y² = 8x, the line y = x + 2, and the x-axis. A 3.33 square…

A: as per company guidelines we can solve only first question when multiple question being posted

Q: The directional derivative of f(x, y) = ln(xy) + x² at the point (-1,1) in the direction of from the…

A: The function is given as , fx,y=lnxy+x2 find the directional derivative at point -1,1 in the…

Q: 6. A solid is bounded by the surfaces z = 4 and z= √√x² + y² . Find the exact value of the volume of…

A: To find the volume.

Q: Calculate the integral, assuming that fo f(x) dx = -4, ² f(x) dx = 4, ₁ f(x) dx = 11. (Use symbolic…

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Q: SOLVE THE FOLLOWING HOMOGENOUS LINEAR DIFFERENTIAL EQ ( 1. (D³ - 5D² + 3D + 9)y = 0 2. (D³ - D² –…

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Q: K Solve the triangle. a = 6, c = 5, B = 54° b= (Do not round until the final answer. Then round to…

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Q: Bookmarks Profiles Tab Window Help a Your Orders X nar21 written assignment 4_MAT-23 X +…

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Q: 0.5 0.5 sinxy dx dy, using the Ax = Ay = 0.25 0 1+xy H.w2: evaluate f

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Q: Evaluate: f 4dx 3x+2

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Q: Use the alternative form of the dot product to find u. v. ||u|| = 50, ||v|| = 25, and the angle…

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Q: 7. Use the Mean Value Theorem and find all points 0 <c<2 such that f (2)-f(0) = f'(c)(2 - 0). f(x) =…

A: topic:- function

Q: Specify the substitution you would choose to evaluate the integrals. √ √4-2t dt Ou=t Ou = 4-2t O u =…

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Q: Find the area of the region bounded by the curves y= 2² - 3 and y = 2x + 5.

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Q: By inspection, find the eigenvalues of the following matrix: Enter the eigenvalues in increasing…

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