3x-y< -1 y+32x² 2 ng system of inequalities: PENCIL THIN > BLACK 15+ 10

Q: Evaluate the integral. 1 [ ²₁ (U+6) (u + 6)(u − 7) du

A: Consider,

Q: 5. Let T (u, v) = (x(u), y(u, v)) be the mapping defined by T (u, v)= (4u, 2u +3v). Let D be the…

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Q: Find if the series converges and if it does and you can find the sum, find it: 3. Σ0 (0)

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Q: Solve the equation by expressing each side as a power of the same base and then equating exponents.…

A: We are required to solve: A.) 4(7-3x)= 1/16 B.) 2(5-3x)= 1/16

Q: Find the domain, vertical asymptotes, and horizontal asymptotes of the function. Enter the domain in…

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Q: (b) Compute the line integral [20 on a path c(t) = t²i+t²j+ k beginning at t = 0 and ending at t =…

A: We have to compute the line integral:∫C z cos x dson a path  c(t)=t2i+t2j+k   beginning at t=0 and…

Q: Solve by separating variables.   dydx=14xy y=

A: Given differential equation  dydx = 14xy

Q: In(x) 8x

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Q: (12) Solve for X 12 % X 10

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Q: Compute 3rd right endpoint approximation (R3) for Intergal from 0 to π sinxdx I recevied the answer…

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Q: y" - 4y' = -4te²t, y(0) = 0, y'(0) = 1

A: Differential equation is called the equation which contains the unknown function and its derivatives…

Q: 1. Let F(x, y, z) be the vector field (z, 2x, 2y) and C be the curve parameterized by r(t) =…

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Q: Use the direct comparison test to find if the series converges. Remember to state which series you…

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Q: -2x C. At what values of x does f(x) = local maximum and/or local minimum ? have a

A: We are required to find: At what values of x does f(x)=xe-2x have a local maximum and/orlocal…

Q: A firm manufactures a commodity at two different factories, Factory X and Factory Y. The total cost…

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Q: Find AB given that: 2-4 and B= 0 -2 3 8 170 A = 4-[-33] -3 5 11

A: Given data

Q: Find an equation for the line tangent to the curve at the point defined by the given value of t.…

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Q: s(t) = t² + 2t - 1 a. What is the average rate of change of s(t) over the interval 1 to 2? The…

A: S(t) = t2 +2t - 1

Q: wers are not unique. cle centered at the origin with radius 4, generated counterclockwise cle…

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Q: Use part one of the fundamental theorem of calculus to find the derivative of the function. h'(x) =…

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Q: S₁ x cos(1-2x)dx

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Q: Thank you so much for the step by step, I am confused how we got \sqrt{ 3} over 2. I am also…

A: I am confused how we got \sqrt{ 3} over 2. I am also confused when we added the 2 \sqrt{3 } over 2…

Q: Find the equation of the line perpendicular to the line 3x + 5y = -9, through the point (-1,4). y-4…

A: The equation of the given line is 3x+5y=-9 The point through which the perpendicular line passes x0,…

Q: Suppose that f(x, y) = xy. The directional derivative of f(x, y) in the directional and at the…

A: f(x,y)=xy, In the direction of &lt;1,5&gt; at the point (4,-5)

Q: Find the interval of convergence and radius of convergence for the series

A: To solve the following

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

A: Given: R(x,y)=80x+120y-2x2-3y2-xy We are required to find: The marginal revenue…

Q: A Ferris wheel has a radius of 33.8 feet. The bottom of the Ferris wheel sits 0.5 feet above the…

A: A Ferris wheel has a radius of 33.8 feet. The bottom of the Ferris wheel sits 0.5 feet above the…

Q: Use either the limit comparison test or direct comparison test to find if the series converges.…

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Q: Compute the flux of the vector field (25,- y2), out of the rectangle with vertices (0,0), (3,0),…

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Q: Find the limit. Use l'Hospital's Rule if appropriate. Use INF to represent positive infinity, NINF…

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Q: Find the volume of the solid generated by revolving the shaded region about the given axis. y=9-x²…

A: We have to find the volume of the solid generated by revolving the shaded region about x- axis. y =…

Q: (a) Find a power series representation for the function. 2 1-³ f(x) ? Σ 201 n=1 Σ 7=0 = 2 τε Σ2+1…

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Q: Find the surface area of the part of the plane z = 2 + 3x + 6y that lies inside the cylinder x² + y²…

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Q: graph one period of function showing amplitude, phase shift, period and frequecy

A: y= 2sin3(x-30 degrees)   simplify y= 2sin(3x-90 degrees)

Q: t 46. Use Property 8 to estimate the value of the integral 1 Cdx dx o 1 + x² 47-48 Fypreco th (2

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Q: [ f(x, y, z) ds. f(x, y, z) = x² + y² + z² S: x² + y² = 9, 0≤x≤ 3, 0≤z≤x Evaluate

A: We need to solve integral.

Q: The critical points of f(x) = x² + 3x - 4 are Ignore "Give your reasons" below. There is no need to…

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Q: Find the mass of a lamina bounded by y = 4√√x, x = 9, and y = 0 with the density function o(x, y) =…

A: Given that lamina bounded by y = 4x, x=9, y=0  with density function σx,y= x+2. We have to find the…

Q: Differentiate f(x) = csc² x and g(x) = cot² x. What can you say about the function h(x) = csc² x −…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Write an equation for a rational function with the given characteristics. Vertical asymptotes at x =…

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Q: A)    cos2theta - cos theta= 0 B)    Solve for x  2ex-1 = 14

A: Given equation  A) cos2θ - cosθ = 0

Q: Find S- (x² + 4) ³. 43 dx

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Q: CS Find the length of the curve r(t) = (5 cos(3t), 5 sin(3t), 4t) for -2 ≤ t ≤ 5 Give your answer to…

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Q: A Suppose sin 3x = -√3 (One (Fire) all solutions Oxlan

A: Given;

Q: Evaluate the improper integral or state that it is divergent. 00 dt A t² - 3t 2 A. In 4 1 B. In 4 C.…

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Q: 9. Find the limit of the sequence an = 1+4n2 1+n² if it is convergent.

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Q: Given f(x, y) = 6x² + 1x²y¹ + 6y5, find fz(x, y) = fy(x, y) = fax (x, y) = fry(x, y) =

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Q: 5. Does the sequence {{²} (−1)” n diverge? Explain converge or

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Q: Find the direction in which the maximum rate of change occurs for the function f(x, y) = 4x sin(xy)…

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Q: 3. A continuous function g is defined on the closed interval −8 ≤ x ≤ 6. The graph of g, shown…

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