If f(x) = x² - 4, which of the equations below describes the average value of f(x) over the interval [4, 9]?

Q: 03: Evaluate the following integrals: E In(x-1)(x-3) -dx x²-4x+3 (3) S

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Q: Suppose an angle a is drawn in standard position. In each case, use the information to determine…

A: We have to find the quadrant for the angle alpha which satisfies the following conditions  a)…

Q: 3. Find the quotient and the remainder for (x4 + 8x² − 6x − 3 ) ÷ (x+2).

A: 3. A polynomial p(x) can be written as p(x)=q(x)d(x)+r(x)⇒p(x)d(x)=q(x)+r(x)d(x) Where, d(x) is…

Q: f= (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the…

A: Please refer too the image below

Q: A car purchased for $40,000 depreciates exponentially. After one year, the car is valued at $25,000.…

A: We have to find depreciating after 3 years.

Q: Which of the following statement is TRUE? (i) If Σα o an = and bn = then Στο bn n=0 2 an 3 (ii) If…

A: Solution is given below:

Q: Find a differential equation whose general solution is y = c₁e³t+c₂e-3t 5t = 0

A: The general solution,y=c1e5t+c2e-3t

Q: 1. Given a. b. C. [(5x + + + + 1) dx Evaluate the indefinite integral above Evaluate the integral…

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Q: 2. Sexdx

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Q: Find the volume of the region under the surface z = ry² and above the area bounded by x = y² and x -…

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Q: Part 2. Find the Standard Equation 3. hyperbola with vertices at (-2,-4), (-2, 6), foci at (-2,-5),…

A: Given,  Vertices: (-2, -4), (-2,6), Foci: (-2, -5), (-2, 7)

Q: 5. The set P = {a + bi|0 ≤ a < 1,0 ≤ b ≤ 1} is graphically represented by A B i X X C jx D i X

A: According to question,Given set,P= a+bi | 0≤ a &lt; 1, 0≤b≤1

Q: The base of a three-dimensional figure is bound by the line y = -x + 3 on the interval [-1, 1].…

A: Here, the cross-section is perpendicular to the x-axis. Therefore, the area is a function os x.

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: Solve the following differential equations of -0 -(x² + y²)dx + (2xy + cos y) dy 2rud

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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: A company manufactures 2 models of MP3 players. Let x represent the number (in millions) of the…

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Q: Differentiate: 2. y = 7x²+2

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Q: Find the first derivative of exte-2 y = = ܘ ܘ e+ܫܐܕ 2k+e ye+e 2 ܪܢܐ e+e 2 ܢܐܨ ܐ e+e

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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: If y₁ and y2 are linearly independent solutions of ty" + 3y + testy = 0 and if W(y₁, y₂)(1) = 4,…

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Q: Find the volume generated by revolving the given plane area about the given line, using: I. Sketch…

A: Explained below

Q: 03: Evaluate the following integrals: (5) √cotx.csc4 x dx

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Q: Determine the coordinates of the absolute extremes of y = 3sinx(cosx), 0 ≤ x ≤ 2pi

A: Determine the coordinates of the absolute extremes of y = 3sinx(cosx), 0 ≤ x ≤ 2pi

Q: (6) Solve the following differential equations of 1-(x+3x³ sin y) dx + (x* cos y)dy = 0 2−(2x² +…

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Q: The interest on an account increases exponentially. If an initial investment of $4000 earns $1300 in…

A: Given the interest increases exponentially. The investment is $4000 and the interest in 3 years is…

Q: Find the anti-derivative of g(x) = 2*, which contains the point (0, 2.44). ⒸG(x) = -2 O G(x) = 2 O…

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Q: ΗΣ 1 an find limnoo Зп σο n=1 - 2 11 ∞ Ο 0 Ο 3 Ο 52 sin(an)+11 4

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Q: Use trapezoidal rule to approximate the integral fex dx.

A: Follow the procedure given below.

Q: 1. Given the series 1 1 - - - 5 +(-=-={{ (x-2)" +... 25 125 5 (a) For what values of x, does the…

A: see below the answer

Q: 3: Evaluate the following integrals: (2) 4*+23x - dx 2x

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Q: Find dy/dx for the following function:: √y-etanx = 2

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Q: Find the slope of the line tangent to the graph of f(x) = -1₂ at x = 3. x+2 Provide your answer…

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Q: Prove that (AXB)×C=B(A • C)-C(A • B).

A: The solution is given in the next step.

Q: Write the inequality in interval notation and graph the interval. -5<x<5 The interval is 0

A: Use interval notation

Q: Question 2 Mrs. Parkes Company is thinking of changing the sizes of the bottles. At first the…

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Q: Given the function, f (x) = -2(3)*+² +7 a) Find the average rate of change of f(x) between x = 4 and…

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Q: Given the function f(x) = x² + Draw a sketch of the graph of f. 16 X x>0

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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: 7. Solve 2 ( 2y^2 + 5xy - 2y + 4) dx + x (2x + 2y - 1) dy = 0

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Q: 5) a) Find the eccentricity, b) identify the conic, c) give an equation of the directrix & d) Sketch…

A: Concept: We know that a conic section is defined as the locus of a point that moves in such a way…

Q: S d0 cosh 0 + sinh

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Q: Q5-Show if the following series are converging or diverge π 1) Σ=1 η 10 Σ=1 (33) 1 της 2) 3) Σ=1

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Q: 7. Given the function f(x)= x². a) Find the function g(x) performing on f(x) a reflection in the…

A: Given, the function f(x) = x2, then Solution (a): Since we have the function f(x) = x2, therefore a…

Q: Solve for m | |m8xy+x)dxdy=3, 0<y<x<1

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Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

A: We have to sketch the graph of given function.

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

A: Given Equation :- x2+y2-24x-16y+188=0

Q: Repeated Irreducible Quadratic Factors: Examples Sa++²2a²+1 da

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Q: (6) Solve the following differential equations of 1-(x+3x³ sin y) dx + (x² cos y) dy = 0

A: The given differential equation is;  (x+3x3siny) dx+(x4cosy) dy=0. Repost the next questions.

Q: Find the dy/dx if x = 2u3 - 3u- and y = ? - 3u ㅇ뼢 ㅇ ㅇ삁 ㅇ u+1

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