What is the average value of f(x) between x = 1 and x = 5 forf (x) = 2.t? 32 O 31 O 10.82 9.28

Q: Find Mx, My, and (x, y) for the laminas of uniform density p bounded by the graphs of the equat…

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Q: For the function g(x)=x^2 -2x + 5 estimate for the instantaneous rate of change at x=3. Round to the…

A: For the function g(x)=x^2 -2x + 5 estimate for the instantaneous rate of change at x=3. Round to the…

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

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Q: Put the equation into the form x'(t) = g(t)h(x), and solve by the method of separation of variables.…

A: Factor the equation

Q: Find the domain of the following function. 5 f(x) = 81-x² The domain is (Type your answer in…

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

A: 1.∫x.x-8 dx2.∫0π4sin2x dx

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

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Q: Solve the following differential equations of 1 xy'dx + (x³y² +1) dy=0

A: We will use substitution x2=z. The formula I used has been written at the end of paper.

Q: 5x - 3 √(x+ - 4x³ + 14x² - 20x + 25) - - dx

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Q: Find the mass and the center of mass of the lamina with density p(x, y) = and occupies the √y x²…

A: Given :ρ(x,y)=yx21≤x≤3 and 0≤y≤4 then

Q: 12. The modulus of elasticity of the spring is given as 270,000 N/m. find the work done in…

A: k=270000 N/ma = 0b = 1 mm = 0.001 m

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: Q4/A/Find for the following functions (+) dx 1. y = cot 2. y = sinxtanx

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Q: 3) Cindy will require $18,000 in 7 years to return to college to get an MBA degree. How much money…

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Q: What is the area of the region bounded by the curves y = sinx, y = cosx, x=0, and x=π/4. Round the…

A: What is the area of the region bounded by the curves y = sinx, y = cosx, x=0, and x=π/4. Round the…

Q: Determine whether the series sum. 1 12 16 3 4 The series is divergent. n=1 4n-1 is convergent or…

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Q: An elliptical plot of garden has a semi-major axis of 6m and a semi-minor axis of 4.8m. If these are…

A: Given :   Semi major axis of ellipse = 6m and semi minor =4.8 m

Q: Sketch the graph of a function that satisfies ALL the following properties: ▪ lim f(x) = -2, lim…

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Q: If the angle of elevation from the ground to a tree is 40° from 108 feet away, how tall is the tree?

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

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Q: Evaluate the following integrals C. [x√x + 1dx

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

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Q: 03: Evaluate the following integrals: dx (4) √√√²+4x+4

A: Solve the integration

Q: me he Value of 4 Eth 4E f(a) integral 1=1,3 2 xex dx using Simpson's methhod when n = 8 is 65.3690…

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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: S dx (36x² + 1)²

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Q: x-1 +1 1-z Q1) Find equation of plane normal to line *-¹ == and pass through line 3 2 1 x=y=2.

A: Concept: The standard form of the line is x-x0a=y-y0b=z-z0c Here a, b c represents the normal…

Q: رد البر A Polynomial of the third degree reculting from the Tyler series of the function fix)=√x+1…

A: The given function is f(x)=sqrt(x+1), x0=1.

Q: Differentiate: 1. y = x³ (5.4)*

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Q: Solve dy +4y=2 dx

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Q: Find the Wronskian of the functions f(t) = 3et sin(t) and g(t) = et cos(t). NOTE: Your answer must…

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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: answer

A: We will find the anti derivative.

Q: The gradient of f(x, y) = xy at (x, y) = (3, 3) is

A: Given problem:- Find the gradient of f(x, y) =xy at (x, y) =(3, -3)

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

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

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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: du 02: b: Prove the following formula: coth u=-csch² u. dx

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

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Q: A 200-foot cable weighing 4 pounds per foot is hanging from a winch 200 feet above ground level.…

A: We have to find the work done.

Q: dx (x+3)²-25 7.57

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Q: 2x dA over the region R Find ₁² of a solid {(x, y) |0 ≤ x ≤ 3,0 ≤ y ≤ 5} by identifying it as the…

A: Solve

Q: Find the area of the of the region that bounded by the following cases: TT 1- the curve y = cosx…

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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: Find the derivative of the function. y = tan an-¹ (√x-4)

A: We can find the derivative using chain rule as below.

Q: Find an equation for the tangent plane to the surface z + 1 = xy² cos(z) at the point (1, 1, 0)

A: Solve by eq

Q: A firecracker shot straight up in the air has a height s, in metres, at time t, in seconds, given by…

A: Let xt be the curve followed by the object, then the formula for finding the instantaneous velocity…

Q: 3x+2 2+9x+1 dx

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Q: A ship leaves its port and sails on a bearing of N35°30'E, at speed 24.8 mph. Another ship leaves…

A: This question is related to cosine formula of traingle , we will solve it using given information