Solve f(x) Sin e* (12 intervals) Using Trapezoidal Rule(Numerical Methods) ['re f(x) dx

Q: Determine the indefinite integral 4 √√x + 3 6x 1/0² - 1717 dx 4 X

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Q: The non-homogenous solution of the following equation by using variation of parameter method y" +y =…

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Q: d Calculate ri(t) · r2(t)] and r1(t) × r2(t)] first by differentiating dt dt the product directly…

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Q: Find the area of the region bounded by the graphs of the equations. y = -x² + 6x, y = 0

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Q: A rectangle is bounded by the x- and y-axes and the graph of y = (6 - x)/2 (see figure). What length…

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Q: 3. An airplane with an airspeed of 80 meters per second is due east, gaining altitude, and has a…

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Q: 2000, the population of a city was 71,000. The population had grown to 100,000 by 2011. If the…

A: Given query is to find the population in 2026.

Q: x³Væ² + 1 dx

A: Solve the integration

Q: 5. A line passes thru (3, 4) and cuts a right triangle with the coordinate axes in the second…

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Q: (x, y) is equal [where we set It is known that the area of a polygon with vertices (x1.₁), (x2.2).…

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Q: 1. In any polyphase system, the value of the angular interval between each phase is 120 degrees Must…

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Q: 1. Find the first partial derivative of z with respect to x if x'y+ y°z+ z'x = 11.

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Q: 8. 8 If , f(x-c)dx = 5 where c is a constant, then f (x)dx= -c

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Q: Sketch the region bounded by the graph of the equations and find the area of the region. 1 y = , y =…

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Q: If sint = 4/5 and t is in the first quadrant, find cos(2 t) -7/25 -9/25 7/25 24/25 None of these

A: There is more than 1 question, as per the Q&A guidelines I am answering the 1st question. If you…

Q: 4. (- FIND the center of mass of the lamina of density p if the lamina is shaped like the region…

A: A detailed solution is given below.

Q: Find two positive numbers satisfying the given requirements. The product is 172 and the sum is a…

A: We find two positive number that product is 172 and sum is minimum.     Here i attached the solution…

Q: Consider the polar equation defined by r= 5 cos(2 sin 6), where 0<0< 2x. Determine the missing…

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Q: solve the following equation 2sin3x+sin2x+1=0, on the interval 0<x<2pi

A: 2sin(3x)+sin(2x)+1=0Let f(x)=2sin(3x)+sin(2x)+1 , 0&lt;x&lt;2πThe graph of f(x) is shown below:

Q: 2. [ID # ending in 4 or 7] 2 av Determine (+) ax if v csch y = e*x² . дх ду ду

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Q: approximate sin 85° Sin a to 4 decimal poths. Compart to ne exact value if you using P(x) of me…

A: Here, to find the Taylor polynomial of the function f(x)=sin x around the point a=π2 which is given…

Q: Find the equation of the tangent line to the function y = xsin x when x = 6.

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Q: 7. f(x) = x* - 4x³ +3x? +4x – 5 Domain: y Range: Rel. Maximum(s):. Rel. Minimum(s): End Behavior: As…

A: We have to find the graph, Domain, Range, relative maximum, relative minimum, End behaviour,…

Q: dx = 4x +2y+e'+t dr Write the system in matrix form: dy - 2x - y+ 3e' di 4 A. X'= 1 4 B.X' = 2 -1 3…

A: We have to find the system in matrix form.

Q: Find an equation of the tangent line to the graph of the function at the given poin y = x²ex - 2xex…

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Q: Given that å = i+ 53 -3k and b = 3ỉ – 23 +k are vectors in 3D. Find the value of ả x b and b xả…

A: Given; a→=i→+5j→-3k→, b→=3i→-2j→+k→

Q: Find the area of the region enclosed by the inner loop of the curve. r = 2 + 4 sin ?

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Q: x²+2x+1 dx (x+2)(x−1)²

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Q: x2 – 3x – 2 if x 4 f (x) = - (2x + 1

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Q: A farmer plans to enclose a rectangular pasture adjacent to a river (see figure). The pasture must…

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Q: 2. Write down the name of the conic given by the polar curve r = 6/ (3 - 2 cose). Determine the…

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Q: Evaluate the iterated integral. NOTE: Enter the exact answer. V64–x² ~80–a²-y² x dz dy dx -48+x²+y²

A: We know that integration of Xn is xn+1/n+1.     Here i attached the solution of this question.

Q: thu2 Evaluate khe faltowing cartesian integratby - changing them inte equivalent Polar integrals 2.…

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Q: Find the minimum value of f (x,y,z) = 2x² + y² + 3z² subject to the constraint 2x - 3y - 4z = 49

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Q: Given sinα=0.802 and sinβ=0.812 with both angles' terminal rays in Quadrant-I, find the following:…

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Q: n E (4 + 2k)? = k=1 Hint: Start by multiplying out (4+ 2k)².

A: I am attaching image so that you understand each and every step.

Q: f(#n) for For the function f(x) 3x +1, write Newton's formula as , 1 - F(En) f'(an). solving f(x) 0.…

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Q: Solve the linear differential equation dy 2y x2 dx 1+x2 x2 y = x? tan-1(x) + c y 1+ x2 =1+x² +…

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Q: A radio transmission tower is 211 feet tall. A guy wire is to be attached 6 feet from the top and is…

A: We have to solve above question and find length of wire As per bartleby guidelines we have to solve…

Q: 4 Water drips into a conical container, which is orientated point downwards, at a rate of 100…

A: This is a problem related to mensuration. Based on the formula for volume of cone and derivative…

Q: A radar, using the polar coordinate system, detects that an airplane is currently located at the…

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Q: Solve the given initial-value problem. y'' + 4y' + 5y = 35e−4x,  y(0) = −2,  y'(0) = 1 y(x)=

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Q: 2.Figure out the following = 2t2 +Int, t>0 dy. = cos(t – 1) c.f(z) =| -1|,9(z) =| 1.f'(1)?g/(0)? ?…

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Q: Below is a graph of f(x) = sin x. Find the total area trapped between the curve f(x), the x-axis,…

A: Follow the procedure given below.

Q: Evaluate y' of the given functions: (х-4) y = x2

A: Here is the solution:

Q: Find and classify the critical points of f(z) = 82°(8 - z)7 as local maxima and minima. %3D Critical…

A: Critical points are the points of a function where the derivative does not exist. local maxima: the…

Q: Problem 3. Solve [2*+2³ = 10 4* +4" = 68

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Q: Find dy/dx: rsinx 1. у %3D Sm* 3t2 dt

A: I am attaching image so that you understand each and every step.

Q: (x+1) dx 13 (メ-

A: We have to solve above question

Q: Evaluate the indefinite integral given below. ∫ x(x+7)4 dx

A: Given query is to find the integration.