Compute the exact value of the series: n=0 (-2)" (3 3n+2

Q: Sketch the region enclosed by y = 5x and 9x². Find the area of the region. y =

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Q: Find the length of the polar curve r = 0, 0 ≤ 0 ≤ 2π.

A: The curve is r=θ , 0≤θ≤2π.We know that,            The length of the polar curve is…

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

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Q: Find [[ (3x + 4y)dA (3x + 4y)dA where R is the parallelogram R with vertices (0,0), (1,-2), (5,4),…

A: The Jacobian determinant must be calculated and the change of variables must be applied in order to…

Q: 6. Compute of the following function by using implicit differentiation. dx x³+y³ - 6xy+1=0.

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Q: For each of the following integrals, indicate whether integration by substitution or integration by…

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Q: 2. Jenny made $120 for 8 hours of work. How much would Jenny make for 40 hours of work? Use a…

A: Jenny made $120 for 8 hours of work. We have to find out how much Jenny made for 40 hours of work.

Q: 86 900 pogoor all of ou+ £ 1 990 44 pos 0040 1994 pa

A: r=cos(2θ) Graph:

Q: Find a b. a(7,-2), b (3, 4) Need Help? Read It

A: As per guidelines , Points are mentioned with the last 2 questions, So both questions are under…

Q: Find the volume of the parallelepiped determined by the vectors a, b, and c. a = (1, 3, 4), b = (-1,…

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Q: Solve the given initial value problem. dx dt dy dt = 3x+y-e³t; = 4x + 3y; x(0) = 3 y(0) = -8 The…

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Q: \f f(x) = X - n=0 n0 n+1 n+2 " and g(r) = (-1)+1 n n=0 n+2 , find the power series of(f(x) — 9(x)).

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Q: Sketch the set of points in the plane which satisfy the equation y + 2 = 3(x − 4)

A: We have to draw the graph for y+2=3(x-4)

Q: The polynomial of degree 4, P(x) has a root of multiplicity 2 at x = 1 and roots of multiplicity 1…

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Q: dy 1) (a) Find the equation that satisfies the following IVP: =.5y_y(0) = 20 dx (b) Find the IVP…

A: To find out the particular solution of the given differential equation.

Q: Find parametric equations and symmetric equations for the line. (Use the parameter t.) The line…

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Q: Q2 Given marginal cost is C'(x) = 2x + 5. Find the cost of the 3rd unit.

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Q: 4. Consider the region in the xy-plane bounded by the curve y = 4x - x² and the x-axis. a. Suppose…

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Q: The amount of trash, in tons per year, produced by a town has been growing linearly, and is…

A: Given:     P(t) = 71 + 2t where t is the time in years and P(t) is the production of trash by the…

Q: 8) Find the Taylor expansion of f(x) at the given f(x)=√x, c=4

A: Given that , fx=x , c=4 find the Taylor expansion of fx at the given c.

Q: Function with given infinite power series. x20 - 2 - + 5 28 x² 7 +

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Q: Solve the initial value problem. dy y dx x X 5|8 = 5xe*, y(1)=5e+7 The solution is y(x) = -

A: The given differential equation is;  dy/dx - y/x = 5xex, y(1)=5e+7

Q: Use the properties of limits to help decide whether the limit exists. If the limit exists, find its…

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Q: lim (see 3x) (Cos 5x) X-I lim (@+x)= X-0

A: a) limx→π2sec3xcos5x b) limx→0ex+x1x

Q: A solid is obtained by rotating the shaded region about the specified line. about the x-axis V = y 5…

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Q: 5.) Solve the Boundary value problem. y''+9y=0 , y(0)=0 , y(π)=0

A: y''+9y=0 , y(0)=0 , y'(π)=0

Q: 5) Approximate the value of the integral for x < 1. 1/2 dx 1 1+x4

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Q: 1 2 4 3 2 1 1 1 2 3 4 a

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Q: x = 2y² find the vertex, focus, and directrix of the parabola.

A: x=2y2

Q: 6) 1) (2x²-3x+2)dx -5

A: Given that integral is

Q: Write an equation of the form y=a sin bx or y= a cosbx to describe the graph below. MA 150 X

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Q: Find the length of the polar curve r = 3 sin 0, 0 ≤ 0 ≤ π/3.

A: r=3sinθ, 0≤θ≤π3

Q: Part I. Differentiate 6. f(x) = 2sin (cot (2x + 1)) Type

A: Given f(x)=2sin(cot(2x+1))  We have to find the value of f'(x)

Q: 20) Find the function f(x) if f'(x) = 2x³ +1 and f(2)=4

A: given f'(x)=2x3+1 and f(2)=4

Q: Find a polar equation for the hyperbola with its focus at the pole and vertices (18, 0). (-90, π).…

A: Focus at the pole and vertices (18,0), (-90,pi).

Q: use the given information to determine the equation of the ellipse. Foci: (±2,0), vertices: (±5,0)

A: The general equation of an ellipse with center (0,0) and major axis  parallel to X axis is…

Q: Find the general solution to the given differential equation for y(x) (D3 - 4D²)y = 0

A: Differential equations where D=d/dx

Q: Solve the given linear programming problem using the table method. The table of basic solutions is…

A: Max P = 15x1 +21x2 Subject to x1 + x2 &lt;=6 x1 + 4x2 &lt;=6 x1,x2 &gt;=0 The table method has given…

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

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Q: Oy- (240-x) O y -120+ x) Oy-(-240-x) y-(120-x)

A: When 2 functions are mirror image about the line passing from origin than these 2 function are…

Q: find the center, vertices, and foci of the ellipse. 4x² + y² = 16

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Q: Find a fundamental matrix for the system x'(t) = Ax(t) for the given matrix A. 1 1 4[44] A = -2 -1…

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Q: Find a particular solution to the differential equation using the Method of Undetermined…

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Q: Find the derivative ( of the following functions dx a.y = (4x² - 1)(7x³ + x) b.y = e²x cos x sin x…

A: As per Bartleby answering guidelines if multiple sub part question are posted in single pic then the…

Q: Refer to the graph of f below. -2 y A 72 X Determine the 2 values of x where the derivative of f…

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Q: A can in the shape of a right circular cylinder is required to have a volume of 500 cubic…

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Q: find the center, vertices, and foci of the ellipse. 9 + y² 5 1

A: x-h2a2+y-k2b2=1 Where, The center is at h,k &amp;  a,b are the semi-major and semi-minor axes.

Q: Obtain an equivalent system by performing the stated elementary operation on the system. Replace the…

A: -3x+8y-6z=-65x+3y+13z=252x+5y-11z=-10-9x+14y+10z=18

Q: [9-R] [CLO 7] Let z = 4 − 3i be a complex number. Determine zz.

A: given z=4-3i be a complex number

Q: Has 200 feet of fencing to enclose two adjacent rectangular corrals, as shown in the following…

A: A(x)=2x(200/3 - 4x/3)