find the general solution of the given equation. y''+2y'+6y=0

Q: Find the Fourier transform of Hint: Use the integral formula Se-¹² du = √π e-a²₁²

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Q: Find the average value of the function on the given interval. f(x)=√√x+3; [1, 13] (Type an integer…

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Q: e the differential equation e2x dy +2e²x y = 2x

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Q: 3. I. -1 2 Evaluate each determinant. 5 3

A: Given,-1523

Q: Vadas/3-V169 3. Construct a sign analysis for the second derivative function and then use it to…

A: Explanation of the answer is as follows

Q: 2. -4 1 3 -3

A: to evaluate: -431-3

Q: =: Triangle may not be drawn to scale. pose a = 3 and b = 8. an exact value or give at least two…

A: Please refer to the image below

Q: Convert the Cartesian coordinate (-1,-4) to polar coordinates, 0≤ 0 0 Enter exact value. 0-

A: Given, (x,y)=(-1,-4)

Q: -2 4.5×10 kg a. T= 2π 2.0×10³ kg/ s b. K = -(6.6×10² kg) (2.11×10¹ m/s)² = 2 -9.0×10 N·m²…

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Q: Find the volume of the solid of revolution formed by rotating about the x-axis the region bounded by…

A: To find the volume of the solid of revolution formed by rotating about the x-axis the region bounded…

Q: Find dy/dx, if y= (3+cos x) ^(2x+1)

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Q: I. 2.) Simplify. Write "undefined" for expressions that are undefined. 2 5 3 2 41610 + -6 -6 2 2

A: Given:26-64.53-62+1220We need to simplify.

Q: 2 X- - SS. T dydx

A: ∫1-1∫0x2-1dy dxWe need to evaluate the above double integral.

Q: (1 + sin y) dy

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Q: Among all rectangular solids defined by the inequalities 0≤x≤a, 0≤y≤b, 0≤z≤ 1, find the one for…

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Q: Find the dimensions of the rectangle of maximum area that can be inscribed in a circle of radius r =…

A: We have to find dimension of rectangle which maximize the area of given rectangle.

Q: The given integral is equal to cos 3t dt 5 + 3 sin 3t O (1/3) In 15 + 3 sin 3t| + C O (1/9) In 15 +…

A: To find out the integration.

Q: Suppose parametric equations for the line segment between (-2,-5) and (0, - 5) have the form: [ r(t)…

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Q: Graph two full periods of the function f(x)=cos(4x) and state the amplitude and period.

A: Given problem:- Graph two full periods of the function f(x)=cos(4x) and state the amplitude and…

Q: Q1: A- Write the following algebraic expression in its simplest form: 5x+3x²+5x+6 X *+3 25x²-9

A: Please refer to the image below

Q: 7. What is the LCM of 16, 24, and 40? O15360 8 O 960 O240

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Use the parametric equations of an ellipse, x = 5 cos (0), y = 4 sin(0), 0≤ 0 ≤ 2π, to find the area…

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Q: Find derivative of each; A) m(t)= In(4t^3+tan(5t)) B) h(x)= 4sin^8(5x+1)

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Q: Which of the following are parametric equations for the entire unit circle? Choose all that apply.…

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Q: n Express the function n, lim 21³ n→+∞ n5 i=1 and then find the limit. in closed form

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Q: 4. Sketch the graph of a function that satisfies ALL of the following conditions: • D: {x ER | x# 4}…

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Q: Find the linearization of the function f (x) 1 9x+8 at = -1. L(x) = -9x-10 si Find the true values…

A: This question can be solved using the concept of linearization of function.

Q: 3) Evaluate f (xy + 2z)ds. C is the line segment from (1,0,0) to (0,1,1).

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Q: 1. Find of ахду OF f(x,y) = xy (x+y-1) -x2

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Q: TRUE or FALSE: 1. The integer 5047 is a prime numbe

A: To write down that the given number is a primer number or not.

Q: 4. Find an equation for the plane through (1, 3, 4), (2, 2, 3), and (3, 2, 1).

A: Given problem:- 4. Find an equation for the plane through (1, 3, 4), (2, 2, 3), and (3, 2, 1).

Q: x4 Lz²+9dx 3x³ +9x−27 tan- ¹ (-) +C Option 1 x³ − 9x + 27 tan−¹ (3) + C Option 3 3x³ + 9x 9x + 27…

A: Here Is the solution

Q: 1 - cos 4x 1 + cos x dx

A: The given integral,     ∫1-cos4x1+cosxdx

Q: Evaluate the double integral: r2 Y To 0 √y¹/3 x7 +1 (Hint: Change the order of integration to dy…

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Q: b. SSR ехту dA_ where R = {(x,y) | − x ≤ y ≤X, 0±× 6 2}

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Q: ||. Minor and Cofactor 1. Find the cofactor of 6 in matrix D 9 8 4 2 7 -9 3 4 D = 6 -3 2 3 8 9 3 2 ㅋ

A: Let's find cofactor of 6 in matrix D.

Q: Analyze and sketch the following curves.Indicate the intercepts, asymptotes, and critical points

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Q: 1 2 In|2|

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Q: Find the area of the region in the first quadrant bounded by the curve y = √x² + 5, the x-axis and…

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Q: Some of the highest tides in the world occur in the Bay of Fundy on the Atlantic Coast of Canada. At…

A: NOTE: Refresh your page if you can't see any equations. . the given equation is  to find the rate…

Q: If the definite integral of (1 + sin y)dy with lower limit equal to zero is π+2, its upper limit is…

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Q: The given definite integral is equal to x3 dx Jo x + 1 O 1.23 O 0.43 O 0.18 O 1.42 Onone of the…

A: The given integral:∫01x3x+1We need to evaluate the definite integral.

Q: A 29-ft ladder leans against a building so that the angle between the ground and the ladder is 77°.…

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Q: In cylindrical coordinates, the equation below describes what? O a vertical plane O a horizontal…

A: Given :   r=5

Q: Let F be the vector field defined on the plane by F(x, y) = (x¹+3y, 6x - siny). Let C be the unit…

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Q: Find the general solution of the following DE. xy² (y')² + y(x - 1)y' - x³ = 0

A: The given differential equation,    xy2y'2+yx4-1y'-x3=0

Q: Solve the equation: y" -y = 2* + Oy=ce to xe +e* (x+c3e2X + CA) Oy=c₁e* + c₂e* + ex (x + c3e-²x +…

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Q: Please check the numbers again. You have used 3/8 in the above equation. Euqation is 3/2.   I…

A: ∫sec2u du = tan(u)+C

Q: ✓ Solve the following linear programming problem using the graphical method Min (Z)= 20X+30Y…

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Q: The region trapped between y = = 4x - 2x² and 4x-2x² |y= ५-२x२-३ = 21² - 1³ y = a) Set up the…

A: The volume (V) of a solid generated by rotating the region bounded by y=f(x) and y=g(x) on the…