Determine the Riemann sum that represents the illustration below. The function is Ax) = /x +1. 4- 3- 2- 1 2 4 6. 8 10

Q: Solve the following items and show your solutions. a.) Find the general and particular solution of…

A: x dydx+2 y =4x2dydx+2x y =4xComparing with Bernouli's equation;y'+P(x) y = Q(x)P(x)=2x, Q(x)=4x

Q: O 2y = x In cx?

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Q: dy - (x- y + 1)'dx = 0

A: The objective of the question is slove the differential equations.

Q: 7. (D+ 3)'y = 15x'e-3* 8. (D- 4)'y 15x²e**. 9. D (D – 2)²y = 16e2 10. D2(D + 3)²y = 9e-3x 11. (D² –…

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Q: Question 12 V3 sin(0 + m) What are the solutions for the equation cos(o + 1) = 1,

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Q: 1 dx V16 – x²

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Q: (x² + y) dx – xydy = 0 O 2y = x In cx2 O y? = x? In cx? O O

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Q: Use the triple scalar product to find the volume of the parallelepiped having adjacent edges u, v,…

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Q: 11x +625 The average cost for a company to produce x units of a product is given by the function…

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Q: A function f(x) passes through the points (15,24), (18,37), and (22,25). Use Newton's Divided…

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Q: S sin-1 x dx A C V1- x2 + C + /1- x2 + C sin x sin x 1 V1 – x² + C D V1- x² + sin x sin x B D E None…

A: To evaluate the given integral.

Q: =D1 || |

A: I am attaching image so that you understand each and every step.

Q: 1) y= 3cos 4 +2 4 a: b: Period: d: Phase Shift: S C:

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Q: In each part, use a scalar triple product to determine whether the vectors lie in the same plane.…

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Q: dy Find and simplify whenever possible. dx secx+tanx 1. y sec x-tan х

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Q: What would happen to the volume of the cone if the radius of its base is tripled and the height is…

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Q: Suppose that you have a task of measuring the lengths of a bridge and a rivet and come up with 9996…

A: True error : true value - approximation. True error in Length of bridge: 1000 - 9996= 4 cm

Q: olve the differential equation with the appropriate method. Finalize answer free of fractions and…

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Q: True/False: The saddle point of the of the function f(x,y) = x² – e occurs at (0,0). - O True O…

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Q: Which of the following is equivalent to cos 0? cos 0(1+ tan? 0) sin 0 + tan 0 1+ sec 0 O Option 1 O…

A: Checking all options by simplifying.

Q: For the function glven below, use algebra to evaluate the limits lim f( メー→+ lim f(x), and limf(x)…

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Q: If 0<c<d​, then find the value of b​ (in terms of c and​ d) for which ∫cd(x+b)dx=0.

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Q: Find the gradient of the function at the given point. f(x, y) = 2x + 3y2 + 2, (3, 5) Vf(3, 5) =

A: Given: fx,y=2x+3y2+2 ; Px,y=3,5   As we know that; The expression for the gradient vector.…

Q: Direction: Find the differential equation of the family of curves described. 4. Ellipse with center…

A: Equation of ellipse is x^2/a^2 + y^2/b^2 = 1

Q: Find 4小1 机g:f el fof (メ= 区 x = 3x # S 3. f位)EX

A: We have to find the fog gof and fof functions.

Q: Evaluate the following IMPROPER INTEGRALS. It is optional to double check your answers/solution for…

A: To evaluate the given integral.

Q: Find the volume of the solid that results when the region enclosed by the given curves is revolved…

A: Given:      y=4sin3x      y=4cos3x     x=0, x=π12 Volume of solid of revolution between curves is…

Q: E. Determine which equations are exact and not exact. Afterwards, solve for the equations that are…

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Q: E. Determine which equations are exact and not exact. Afterwards, solve for the equations that are…

A: use the definition  of exact or non exact.

Q: In arcsin x (V1-x²)arcsin x

A: Given:     ∫lnarcsinx1-x2arcsinxdx    =∫lnarcsinx1-x2arcsinxdx substitute…

Q: Direction: ate the following arbitrary constants to obtain the DE. а 3. y = () + bx

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Q: S4tan3 (пх + 1)dx

A: ∫ 4tan3πx+1dx=4·∫tan3πx+1dxLet u=πx+1.=4·∫tan3u1πdu=4·1π·∫tan3udu=4·1π·∫-1+sec2utanuduLet…

Q: Q1. Evaluate the integrals below using the integral rules derived in Lectures 13-15. For each…

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Q: Find the gradient of the function at the given point. w = x tan(y + z), (17, 6, -3)

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Q: WORK. 1. Find the coordinates then plot the centroid of the given plate (below).

A: Follow the procedure given below.

Q: About family of curves. Draw the curves in one Cartesian plane.

A: We draw the family of equation of the lines y+5=mx-3 for different values of m. [Blue lines] And we…

Q: What is the value of the trigonometric expression below? * sin 0° + sin 1° + sin 2º + sin 3º + ... +…

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

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Q: Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R(x)…

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Q: Direction: Find the differential equation of the family of curves described. 3. Find the family of…

A: We are asked to find the family of curves of straight lines with slope and `y` -intercept equal.

Q: | cos'x cot x dx 3.

A: To integrate the given.

Q: Prove that (y – æ)(y + 3x)³ = cx° is a solution to 3x2 – 2xy + 3y² )dx = 4xydy.

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

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Q: 4-x² 4. Evaluate [*, [* (r² + y°) dz dy dx. 4-. Hint: This iterated integral is a triple integral…

A: Cylindrical Coordinates:       Put x= r cosθ and y=r sinθ and z=zthen,      r = x2+y2 and θ =…

Q: Simplify -3j 1234567+ 4j98765432 – 5j-32198765 + 6. What is the imaginary part of the result? O 2

A: Given: -3j1234567+4j98765432-5j-32198765+6

Q: The barrel of a fountain-pen cylindrical in shape is 7 cm long and 5 mm in diameter. A full barrel…

A: Given that the fountain pen barrel is cylindrical in shape.

Q: Solve the following items and show your solutions. b.) Identify if the following functions are…

A: 4.

Q: - Find the Taylor series expansion for the given function about x =g. :- Using the Taylor series…

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Q: x ys dA X² +1 R.

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Q: On which interval is the function increasing? * 40- 20- 2. 20- -40- O (- 3, 3) O (3, 5) (- 5, - 3) O…

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