3. y" + y = sin x

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: Write an equation for the function graphed below. The y intercept is at (0,-0.3) 5 4 3 2 1 + -6 -5…

A: We have to write an equation of given graph.

Q: Evaluate f(2x² + 3x + 1)5 (8x + 6) dx

A:

Q: 10. The function g(x) = x² − kx³ − 9x² + 7x − 8 has a minimum when x value of k. = 3. Determine the

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Q: Using the definition of the derivative, find f'(x). Then find f'(1), f'(2), and f'(3) when the…

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Q: Evaluate the integral. (Use C for the constant of integration.) tan³(x) sec(x) dx

A:

Q: Find an equation of the tangent line to the graph of y = x³ 3x - 1 at the point (2, 1). - 09x+y+17 =…

A: We can solve this as follows:

Q: 1(3). If f(x) = 2 cos x + x³, find 06 2 4 8

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Q: Which of the following interval is f(x) = O (2, +∞0) O [2, +∞0) 0 (-∞0, +∞0) ○ (0, +∞) 1 Vx…

A:

Q: For which of the series below the Integral Test can be used to determine whether the series is…

A: Recall the integral test:If fx is continuous, positive, decreasing on the interval k,∞ andfn=an…

Q: Integrate the following: 1. fxsinxdx 2. fæcos2xdx 3. fe sinxdx

A: The given integrals are' 1) xsinx 2)xcos2x 3)exsinx.  Repost the next parts.

Q: What is the correct answer 4 isn’t right

A: Follow the procedure given below.

Q: There are $448 available to fence in a rectangular garden. The fencing for the side of the garden…

A: Given that , Total available cost = $448 Road side cost = $12 per foot and other side cost = $4 per…

Q: S dx (36x² + 1)²

A:

Q: Suppose the Candy Company chose to use design C. How many cubic centimeters of material would they…

A: Concept: The volume of the Cylinder: V=πr2h Here r is the radius of the base of the cylinder and h…

Q: y = 2 sin(x), y = ex, x = 0, X = K|N 2

A: The region bounded by the curves,  y=2 sin(x), y=ex, x=0, x=π2

Q: Select all of the following tables which represent y as a function of x. X Y Y X y X Y -3 -2 -3 -4…

A: Explained below

Q: B)Prove (cose + i sine)" = cosne + i sin ne

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

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Q: Sketch the region enclosed by the given curves. y 10 y = 7 cos(x), y = 7 - 7 cos(x), 0≤x≤* 1.5 2.0…

A: We have to find graph and area of it.

Q: Use logarithmic differentiation to find y = (In x) sin, x> 1. dy dx given

A:

Q: Find the area of the shaded region. y y=8x-r 15 (6, 12) 10 A y=2x 2 4 6 Step 1 To find the area…

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Q: Find a vector equation and parametric equations for the line. (Use the parameter t.) (x(t), y(t),…

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Q: Write and evaluate the definite integral that represents the area of the surface generated by…

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Q: What are the coordinates of the equilibrium point? (Type an ordered pair.)

A: Follow the procedure given below.

Q: [(3+y) -x³ (3+y)³] dx + x dy = 0

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Q: The measurement of the side of the cube is 6 cm long. If this length has an error of 1/12 cm. Find…

A: Topic = Derivative

Q: a) y || (т. 3x 5x-x2 3

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Q: Evaluate the integral. (Use C for the constant of integration.) X + 17 J dx x² + 16x + 68

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Q: dx 5 - 2x Evaluate: S O2 ln |5-2x + C -2 + C 5-2x O -1 2(5-2x) + C On 15 - 2x + C

A:

Q: 2. Find the domain for the following functions: x 4 3x a) b) c) √√x-7 x²+x-56 x²+4

A: As per Bartleby guidelines rule I am answering only three sub-part of a question. This question is…

Q: Write out the form of the partial fraction decomposition of the function (as in this example). Do…

A:

Q: 37) 1 Solve the following simultaneous linear D.E. [D+1 12 [+1 10+2 5D=210) = (2-1)

A:

Q: Find all the second partial derivatives. V = e4xey Vxx = V xy v Vyx Vyy = = ||

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Q: Determine the Cartesian equation of a plane that is perpendicular to the plane x - 2y + z = 6 and…

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Q: Find the rate of change of the area of a square with respect to the length z of a diagonal when z =…

A:

Q: a. Determine whether the Mean Value Theorem applies to the function f(x)=ex on the given interval…

A: The given function f(x)=ex on the interval 0, ln 9

Q: Proceed as in this example to find the solution of the given initial-value problem. Evaluate the…

A:

Q: Integrate => = dr ( (bsin) dø => lnr = Letiu 1-b cos / dy = - (-bsin D) 14 1 (trusteena aid) b sing…

A: Integral question

Q: For the function f(x) = f'(x) = 0 x² 1+x find f''(x). Then find f''(0) and f''(8). 1

A:

Q: Consider a beam of length L with a fulcrum x feet from one end (see figure). There are objects with…

A: Consider a beam of length L with a fulcrum x feet from one end see figure. There are objects with…

Q: Determine dy/dx y = (In 2x) - (ln(3x + 1)) 1 3x²+x 3x 1 None of the choices 1 3x²-x

A:

Q: a. In y = dy

A: We have to solve integral

Q: We must integrate y = (8x-x2)-(2x) = 6x-x². The limits on the integral correspond to the smallest…

A:

Q: What is the bounded region between the parabola x = -y2 and the line y = x + 6. Round the answer…

A: This question can be solved using the concept of area bounded by two curves.

Q: ubscription. a. Based on the graph of J, hind the root of the equation 6x³ 19x2 + 16x-4 = 0 that is…

A: We need to find root.

Q: The eigenvalues of the coefficient matrix A are given. Find a general solution of the indicated…

A:

Q: Suppose f is a differentiable function of x and y, and g(r, s) = f(8r - s, s² - 7r). Use the table…

A:

Q: A firm produces a product that has the production cost function C(x) = 440x + 6270 and the revenue…

A: Given :C(x)=440x+6270R(x)=550x

Q: Find the center of mass of the given system of point masses. (x, y) = mi 5 1 3 (Xi, Yi) (2, 2) (-5,…

A: In this question, we want to find the centre of mass of the given system of point masses.