Find the absolute minimum and absolute maximum of the function f(x) = (x2 − 1)3 defined on the interval [−1, 2].

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Q: Minimize c = x - 7y subject to 3x + y 2 5 2x − y > 0 x - 3y ≤ 0 x ≥ 0, y ≥ 0. C = = (x, y) ])

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Q: Part One. All of the equations listed below are general equations of conic sections. Study each…

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Q: 4. Find the area bounded by y=√11-x, the lines 3x-2 and x = 10 and the x-axis.

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Q: -if y=x² the dy dx

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Q: Q2/A/ Prove cot² @ csc 0+1 + 1 = csc0 B/Find the value of c if f(x) is a continuous function at x =…

A: To prove the given trigonometric equation and  To find value of c for which function is continuous…

Q: Consider the vector between (-2,-5, -3) and (5, 10,7). 1. The vector is 2. The length of vis 3. If…

A: Consider the vector between (-2,-5, -3) and (5, 10,7).

Q: Given the function g(x, y, z) = x²y - 4zex+y, find the slope at P(1,0,1) in the direction of the…

A: Here is the solution

Q: What is the partial sum of terms 12 to 15 of the arithmetic sequence 88, 75, 62, 49, ...? O 198 O-45…

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Q: Consider the function ƒ(x) = 5x³ – 4x on the interval [−5, 5]. (a) The slope of the secant line…

A: Given, f(x)=5x3-4x

Q: In 19 years, Anthony Oaks is to receive $300,000 under the terms of a trust established by his…

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

Q: The profit function (in millions) for a beverage company for the years 2008 through 2015 can be…

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Q: Problem 3. Find all four second derivatives of the following functions: (a) f(x,y) = 5x²y³, (b) f(x,…

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Q: Use the factor theorem and synthetic division to decide whether the second polynomial is a factor of…

A: yes

Q: Starting at age 35, you deposit $2000 a year into an IRA account for retirement. Treat the yearly…

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Q: 1-sinx x-1-cos2x 9) lim 10) lim TC X- sinx-cosx TL X- 4

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Q: The marginal profit in dollars on Brie cheese sold at a cheese store is given by P'(x) = x(40x²…

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Q: Evaluate by interperting in terms of area, Find the area 4 I 15x-31dx

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Q: 8.) √ √4x² - 64 dx

A: Given :∫4x2-64dx

Q: y = tan-¹(¹+x) -1

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 04: Find dy/dx for the following function: (2) y = 7csc √2x+3

A: solution is given below

Q: Evaluate the function for the following values: -x-4 , x≤ 5 f(x) = { 2x² -7,5 < x≤ 10

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Q: Dr. Zeyid T. 1 Y₁ =D²-²-2-[x²] Yp y, = [−1− D² + ···] · [2x +3] : y₁ = -x-2 P How

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Q: 3. (1+2x − ¹) dx (assume x > 0)

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Q: of the function f. Find the range of f and the domain and range of f1 π f(x) = -2 cos (3x); 0≤x≤ 3…

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Q: Find the characteristic polynomial, the eigenvalues and a basis of eigenvectors associated to each…

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Q: A box is a cuboid with dimensions 28 cm by 15 cm by 20 cm all measured to the nearest centimetre.…

A: Concept: The volume of the cuboid is: V=lbh Where l is the length, b is the breadth and h is the…

Q: Q5: Find the sums of the following (geometric series): 3n-1 1 6n-1 n=1

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Q: Find the solution of the differential equation that satisfies the given initial condition. x In(x) =…

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Q: At what point(s) on the curve x = (x, y) = 6t² + 4, y = t³ - 7 does the tangent line have slope?

A: This question is related to parametric curves and slope of tangent, we will solve it using given…

Q: Q1: Solve integral the following: 1- fx.√x-8dx 2- sin 2xdx

A: 1.∫x.x-8 dx2.∫0π4sin2x dx

Q: Second order: non- homogeneous Equations with Constant Coefficients d²y dy 2. -2 +2 y = 3e* cos 2x…

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Q: sin² (x) x…0 COSX-1 7) lim cotx + CSCx X-T 5) lim cosx+1 6) lim X-7 sinx 8) lim(--)

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Q: 5. How many solutions are there between planes P₁: 2x -y + 2z = 2 and P₂: -x +2y+z=1? If there…

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Q: Let (an) and (bn) be convergent sequences such that lim an = L₁ and lim b,= L₂. Prove, using 71-00…

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Q: Solve the following differential equations of

A: Given differential equation is :

Q: 3. Find the volume generated by revolving the ellipse whose equation is a² x-axis. 4 лab² (Ans. 3 )…

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Q: Solve the following: i) ii) iii) 6n² x n² x 7n² 2 5x²xx³y² 3 2 10 a4b5c a7b5

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Q: Find the solution of the differential equation that satisfies the given initial condition dP = 4√…

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Q: 4. Solve S/² x + ²/2 y = − 3 y=x+2 using elimination method

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Q: Find the area bounded by the given curves, or as described. I.) Sketch the graph II.) Find the…

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Q: 3. Approximate the integral using: (a) trapezoidal rule. (b) Simpson's rule. SUBJECT: NUMERICAL…

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Q: Two vertical poles are 30m apart. The poles are 10m and 15m high, respectively. They are to be…

A: given

Q: Consider a trough with the shape below. 2 m X 5 m 8 m It is full of water, which has a density of…

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Q: (a) csc(a) 0. (Select all that apply.) Q(¹) Q(II) Q(III) Q(IV) X (b) cot(a) 0. (Select all that…

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Q: Part 2. Find the Standard Equation 4. parabola with vertex at (5,4) and focus at (-3,4)

A: If the focus and the vertex has same y-coordinate then the equation of a parabola can be given as…

Q: What is the equation for the nth term of the arithmetic sequence where a₁ = 28 and d = -6? an=28-6n…

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