Determine f-¹(x) if 1 (X) = Or¹(x)=x2 X+2 X-3 X-2 or¹(x) X+3 Or¹(x)= X-1 3x + 2 3x + 2 X-1 OM(x)=) X+2 X-3' , where x * 3.

Q: ii) Find the exact area of the surface obtained by rotating the curve 1 12x 3 y = x³ + 9 1 ≤ x ≤ 2,

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Q: Evaluate F. dr. F(x, y) = 7xi + 6yj C: r(t) = ti + √4-t²j, -2 ≤ t ≤ 2

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Q: 5. Determine where the local and absolute maxima and minima occur on the graph given.Assume the…

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Q: If I have a continuous, smooth (no sharp points) function with 3 local maxima and 2 local minima,…

A: Since the function is continuous , with 3 local maxima and 2 local minima.the function will have 5…

Q: Find r(t) u(t). r(t) = (7t - 6)i +¹+³j + 2k u(t)= t²i4j+t³k r(t). u(t)= Is the result a…

A: Topic = Vector

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Q: 2. f 62³ +112²+6 da x

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Q: Solve the given differential equation subject to the indicated conditions. y" - 4y = x + sin x, y(0)…

A: The given differential equation is y''-4y=x+sin x, y0=5, y'0=2y

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: 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: 3. Find the total derivative of V with respect to X. V=3X³ +5Y²+6Z Z=4+5X Y=3X+6Z+5XZ

A: Given, V=3X3+5Y2+6ZZ=4+5XY=3X+6Z+5XZ

Q: Suppose that a 4 x 4 matrix A has eigenvalues A₁ = 1,1₂ = -4,13 = 7, and A4 = - 7. Use the following…

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Q: f(x)=3x²-x+2,a=1 f(x)=6

A: Solution of given question is written in below steps.

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

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Q: Use differentials to approximate to 3 decimal places ( 1.09 ) 1/3

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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: In the last part of step 1 for ds/dx, where does the 1 under the square root go? Why does it just…

A: Let's solve.

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.

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Q: (f) If F(x, y) = 5y sin(xy)i + 5x sin(xy)j, f(x, y) =

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Q: If f ' ' ( x ) = 2 , then f ( x ) is concave up at x = 2 . True OR False

A: f(x) is concave up at x= k if f"(k)>0

Q: Find the characteristic equation, the eigenvalues, and bases for the eigenspaces of the following…

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Q: In Problems 1-5, let R be the region bounded by y = 4(x - 2)² and y=x. Each problem will describe a…

A: Since you have posted multipart questions so I have solved first three subparts as per our company…

Q: (a)) The base point of the surface is (0,0,0) and its axis (of symmetry) is the line (x, y, z) = (0,…

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Q: A particle is moving with the given data. Find the position function, s(t), of the particle. [Note:…

A: Solve the following

Q: Find the domain of the vector-valued function. (Enter your answer using interval notation.) r(t) =…

A: We need to find domain.

Q: Find the average rate of change of the function f(x) = x² - 2x + 3 between x = -2 and 2 = 4. Type an…

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

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

A: answer is in next step. please give a like !!

Q: Using rectangles each of whose height is given by the value of the function at the midpoint of the…

A: The objective of the question is evaluate the area by help of midpoint rule.

Q: O a. La función no tiene punto de inflexión. b.x = 1 & X = - 1 O.c.x = 1 d.x = - 1

A: We can find the inflection point as below.

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Q: For the following functions. a. use Equation 3.4 (Text page 217) to find the slope of the tangent…

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Q: 2. Find the derivative for each of the following, be sure to use proper notation and simplify when…

A: The given functions are, a) y=14t5b) m=6nc) y=x34-5x2+300 Note:    Multiple parts are given, we are…

Q: K Find f(x) dx for each graph of y=f(x), where f(x) consists of line segments and circular arcs. 0…

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Q: The circumference of a sphere was measured to be 70 cm with approximation to estimate the maximum…

A: topic:- calculus

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: a. In a geometric progression the sixth term is 8 times the third term and the sum of the seventh…

A: nth term of the Geometric progression , an= arn-1. Note : As per Our Guidelines , we can solve…