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Q: 1 m ... 2 m 4 m The flat surface shown is submerged vertically in water. Find the fluid force…

A: Use formula of fluid force

Q: 8 Given a function: f(x) (х-7)(х-1) Write down the definition that lim f(x) = L = 1| 8 oProve that…

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Q: 13. A and B are unit vectors with an angle of 45° between them. Calculate the value of A - 2B Round…

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Q: A cylindrical tank of radius 5 ft and height 9 ft is two-thirds filled with a liquid of weight…

A: Note that the work done here can be given by: W=∫abρπr2h where ρ is the density, r is the radius and…

Q: (zx" xy') dx-3xy dy 2-

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Q: 1. Using proof by contradiction, prove Let n be an integer. If n- is even, then n is even.

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Q: 1. A vector is: a. a quantity whose magnitude can be completely specified by a number b. a quantity…

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Q: A bird drops a stick to the ground from a height of 65 ft. The function h=−16t2+65 gives the​…

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Q: y dy dx

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Q: 3. Given that f(x) = x³ + px? + qx – 3 is exactly divisible by (x – 1) and leaves a remainder of 3…

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Q: rV1-y² (x² + y³) dy dx -1 J-V1-y

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Q: Inx 1 13. lim, X X,

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Q: Suppose that f(z, y) = z² - zy + y? – 5z + 5y with z? + y? < 25. 25 1. Absolute minimum of f(x, y)…

A: We have to solve the maxima minima problem.

Q: Area under the curve y2 = 4x from x=1 to x=4

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Q: 8 Given a function: f(x) = (х-7)(х-1) Write down the definition that lim f (x) = L -1| х-5 (х-7)…

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Q: fin the area bounded by y=x^3+1 and y=x+1

A: topic - area bounded by curves

Q: 8 Given a function: f(x) (х-7)(х-1) Write down the definition that lim f(x) = L = 1| 8 oProve that…

A: Given a function f(x) = 8/(x-7) (x-1)

Q: work is very unclear. I am lost

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Q: Y Evaluate the following integrals: 1) tan(3x +5) dx evs -1 2) dx 3) [Vx² -x' dx 4) sin(tan 0) sec 0…

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Q: Assume Za is opposite side a, Zß is opposite side b, and Zy is opposite side c Solve triangle ABC if…

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Q: Find the area of the reglon bounded by the graphs of the equations. y = 5x +5, x = 0, x = 2, y = 0

A: Required area is…

Q: COs x sin z Determine ôy/dz -sinx/sinz sinx/sinz -sinz/sinx sinz/sinx None of the choices నా

A: Determining the partial derivative

Q: XP -2X

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Q: nd 4 and using L'Hôpttal's Rule.

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Q: R. 1. Show using similar triangles that tan0 and cot 0 are the respective measures of line segments…

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: 15. The graph of f(x) is shown below. Use it to evaluate S(x)dx Area7 Area4

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Q: Use the formula for S, to find the sum of the first five terms of the geometric sequence. 2, 6, 18,…

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Q: A triangular swimming pool measures 39 feet on one side and 66 feet on another side. These sides…

A: A triangular swimming pool measures 39 feet on one side and 66 feet on another side. These sides…

Q: Find each limit, If it exists. 6- 4x (a) lim 6x - 7 4x (b) lim * 6x-7 () lim 6x 6-4x2 %3D Submit…

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Q: lim -- Evaluate the given limits using L'Hôpital's rule/Squeeze theorem: lim --) x→0+ \x ex-1, 1 lim…

A: The given limits can be calculated using L-Hospital's rule if they come in indeterminate form.

Q: Determine the area of the given region. 1. Region between f(x) = x - 3x – 4 and the x-axis from x =-…

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Q: Find the absolute extreme values of the function on the interval. 13) f(x) = 7x8/3, -27 sxs 8 A)…

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Q: Find the area of the surface obtained by rotating the curve x = /16 – y², 0 <y<2, about the y- axis.…

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Q: 1. Find the area bounded by: y=x³+1 and y=x+1.

A: topic - Area bounded by curves

Q: Calculate the following limit: lim( lim(3) e-5z+6 2-9 O 1/6 0 1 O does not exist

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Q: nd the directional derivative of the function f(z, Y) In(z +y) at the point (3, – 1) in the rection…

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Q: The temperature at o point (x, y) on a flat metal plate is given by 7x, y)- S6+ ), where Ts measured…

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Q: 1-Find the area of the region R under y=x² + 3x +2 Between x=-1 and x=2 2-the region bounded by…

A: Topic:- application of integration

Q: Find the particular solution to the differential equation d?y = 4e* + 3x² dx2 dy given y = -3 and dx…

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Q: Find the second derivative of the function. f(x) = 7x3/2 f "(x) =

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Q: If = 27- 67 + 2k and y = i+3 - k, determine + 25.

A: Topic = Vector

Q: 12 and x terminates in quadrant IV. 5 Find sin 2x, cos 2x, and tan 2x if tan x= sin 2x cos 2x tan 2x…

A: To find sin2x, cos2x and tan2x for the given value of tanx .

Q: Find the angle between the line given by ⟨x, y, z⟩ = ⟨2t, 3t, t⟩ and the y-axis exactly.

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Q: V1-x² 1–x2 dy dx -1 . J-V1-x²

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Q: 8 What is the range of y=4sin A [-2,6] B [-6, -2] © [-6, 2] D [2, 6]

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Q: (21) Let y be a function of r. Find y'(x). Leave your answers unsimplified. (a) y =…

A: Differentiate wrt x

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

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Q: Which of the following is a nonhomogeneous linear differential equation with constant coefficients?…

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Q: Find the Rlemann sum for f(x) = x + 3x over the Interval [0, 8] (see figure), where %3D *. = 0, x, =…

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Q: Find the following integral 4sinxdx O -4 cos x + C O 4 cos x + C

A: