y = Vx, x = 0 , y = 2 , revolved at y axis

Q: ), y(0) = 4.6, y'(0) = - %3D

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Q: The graph of a function f is shown below. ||| ||||| 14 3- 2 1. -4 -3-2-1 -3 4 To combine intervals,…

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Q: Evaluate the limit. (Use symbolic notation and fractions where needed.) sin(4h) lim h h→0

A: The given limit,      limh→0sin4hh

Q: (x²–2x)° 2. у %3 x2 Differentiate using Logarithmic Differentiation

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Q: Without using partial fractions, determine the inverse Laplace transforms of the following s-domain…

A: We need to find inverse Laplace transformation.

Q: Show that the lines L1 : x = 5 – t, y = 2t, z = 5+t and L2 : x = 1+ 4t, y = 3 – 8t, z = 5 – 4t are…

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Q: 1 Consider the telescoping series > (2k – 1)(2k + 1)' k=2 (a) Find the formula for the nth partial…

A: Given problem:-

Q: Consider the function f (x) = -4x2 + 8x - 1. %3D Step 2 of 2: Interpret the meaning of f '(-9) = 80.…

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Q: Uppose the graph y = f(x) lies entirely above the r-axis. Which of the following gives the correct…

A: Given query is to find the correct option of the integral.

Q: 9. Write as a single integral in the form f(x) dx. -1 f(x) dx + f(x) dx - f(x) dx -4 f(x) dx

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Q: 9. Decide whether or not the following equations are true or false: e° = cos" r + sin² r = cosh? r –…

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Q: Let u - (1, 2, 3), v (4, 4, -2), and w = (3, 0, -3). Find 4u + Sv - w. STEP 1: Multiply each vector…

A: The solution is given below

Q: Find parametric equations of the line through (-3,1,1) that is parallel to 2i – 5j+k. -

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Q: The slope of a function is given by f ′(x)  =  x−1/2 + 5x4 and it passes through the point (1, 1).…

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Q: Find an equation of the plane that passes through the points (2, 4, 1), (2,2, –4), and (-–3,5, 3).…

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Q: nan The shaded region shown below is bounded by the functions f (x)=-2x + x + 10 and g(x) = -1.25x +…

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Q: (2.4) What is the height of the ball when its velocity is one-half the initial velocity?

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Q: х3+9х2+20х 4. lim х-3+ х2+x-12

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Q: Differentiate the following using logarithmic differentiation. Vcos? x*(x-1)3 3. y = %3D (x+vx)

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Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

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Q: y" + 2y' + 2y = 0, y(0) = 0, y'(0) = 15, %3D %3D %3D

A: answer is in next step

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

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Q: 1. At which point on the graph of y = e" will there be a tangent line with slope m = 6? (a) at the…

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Q: Find cos (z+2) dx. O-sin (x + 2) +C O sin (x4 + 2) +C O sin (x* + 2) +C sin (2* +2) +C

A: Let's find.

Q: Evaluate the limit. (Use symbolic notation and fractions where needed.) tan(2x) lim x→0 tan(7x)

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Q: 1 Suppose that L is a location function of an object, given as L(t) = We will compute the 3t – 2…

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Q: 4y" + 25y = 0, y(0) = 3.0, y'(0) = -2.5 %3D %3D %3D

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Q: Determine if the following statement is true or false. The points P1(12, 9, 7), P2(6, 4, 0), P3(0, –…

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Q: Find Duf at P. 3 4 f (x, y) = sin(3x – 4y); P(4,3); u = i j %3D - - NOTE: Enter the exact answer.…

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 au. (v x w)| to determine…

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Q: Find the directional derivative of f at P in the direction of a. f (x, y) = 7 tan-1 ; P(-8,8); а%3…

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Q: Instructions: (I) Use Limit Laws to find the limit of each given problem. (II) You may only use…

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j…

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Q: Give the parametric and symmetric equations of the line that passes through the point (4, –3, 5) and…

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Q: We're building another box! This box is to be constructed with a total volume of 160 cm3, but the…

A: Given that the volume of the box is: V=lbh=160⇒lbh=160⇒h=160lb...(1)

Q: Find the dimensions of the rectangle of largest area that has its base on the x-axis and its other…

A: We need to find length and width.

Q: Solve the differential equation by variation of parameters. y" + 3y' + 2y = cos(e*) y(x) =

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Q: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

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Q: Find two unit vectors in 2-space that make an angle of 45° with 7i+ 6j. NOTE: Enter the exact…

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Q: Express the given parametric equations of a line using bracket notation and also using i. j. k…

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Q: 2. The graph of y = cosh a is (a) concave up on its entire domain because y" = coshr > 0 for all r €…

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Q: X Your answer is incorrect. Find an equation of the plane that passes through the points (-2, 1, 1),…

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Q: Find the ff: a. if the differential equation in question is variable-separable b. the given…

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Q: Find the gradient of the function at the given point. g(x, y) = 12xev/x, (6, 0) Vg(6, 0) =

A: Formula Gradient of function f(x,y) ∇f(x,y) = fx(x,y)i + fy(x,y)j Where  fx is partial derivative…

Q: y" + 27y' + 7y = 0 + Ty = 0 %3D

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Q: ind the directional derivative of f at P in the direction of a. r, y) = 5x°y°; P(3, 1); a = 4 i – 3…

A: Given query is to find the direction derivative.

Q: Four towns wish to build a radio station. Suppose that the towns are located at (0, 0), (8,0), (0,…

A: Station is located at the point ( a,b)

Q: Question 2 Jordon currently has a shipment with the below details: The shipment has two types of…

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Q: (y-3)/(x³+1) dy = y4dx is a separable differential equation. Select one: O True O False

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Q: In a liquid culture, the number of bacteria grows at a proportional rate depending on the number of…

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