Numerically integrate f (x) = x³ + 3x? + 4x = 2 using Single-Trapezoidal Rule. 6 from a = 1 and b - %3D Solve also for TV and percentage of error. Show your complete solution.

Q: Follow the solution in the picture below and show checking.  348610  B2 B8 B16

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Q: Consider the series 3 4n n=1 Determine whether the series converges, and if it converges, determine…

A: The given series,           ∑n=1∞34n

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A: Given y'=2x+x4-2x5, y1=2 To find General Solution:

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Q: a?u 2. Solve 0, 0 < x < T, 0 <y<n, + и(0, у) %3D 1, и(п, у) — 1, 0 < y< n и(х,0) — 0, и(х, п) — 1, 0…

A: Solving

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A: The objective is to find the value of beta.

Q: dx J (x² + 2x – 10)²

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Q: 1. Find the following derivatives: d E In (1 + In(t)) dt A P B = In (1 + In(t)) dt dr 1/a d E| In (1…

A: Given problem:-

Q: 1. Use the trapezoid (a) (b) (c) x In x dx; with (h = 0.1)

A: f(x)=x ln(x)   x 1 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2 f(x) 0 0.10484 0.218785 0.341073…

Q: 7)S ) dx 8)S; dx 1+3e* 9) S 3x3. e-2x* dx

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others…

Q: 1. Sand is pouring from a hole at the rate of 25 cu ft/s and is forming a conical pile on the…

A: Sand is pouring from a hole at the rate of 25 cu ft/s and is forming a conical pile on the ground.…

Q: Use Theorem 7.4.1. THEOREM 7.4.1 Derivatives of Transforms If F(s) = L{f(t)} and n = 1, 2, 3, ...,…

A: Given: L(te-12t)..

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A: Note :

Q: Consider the parametric equations: x = 2t2, y =t³. Find at the point t = dx? 8 without eliminating…

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Q: 4. When the graphs of two functions intersect the angle of intersection is defined as the angle…

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A: We have to evaluate the integral ∫tan3x dx.

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A: Given problem:-

Q: Find the particular solution determined by the initial condition. 2/3 f'(x) = 3x - 6x; f(1) = - 7…

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Q: Given D (4, 2) = 5, fwm (4, 2) = 8, we know that (4,2) is a minimum we cannot tell O saddle point…

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Q: Express f(x) in the form f(x) = (x-k)q(x) +r for the given value of k. 3 f(x) = 3x +x +x-4, k= - 1…

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Q: Activity 1.1.3. Each of the following questions concern s(t) = 64 – 16(t – 1)?, the position…

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Q: find (a) (f + g)(x), (b) (f - g)(x), (c) (fg)(x), and (d) (f /g)(x). What is the domain of f /g? i.…

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Q: #13-Find the cost function for the morginad cost fixed cost of $6000 (for x -0) O** 70 X*-80 and

A: cost function = ∫ (dc/dx)dx cost function = ∫ x2/70 + 80dx cost function = x3/210 + 80x + k lets put…

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Q: Line L is perpendicular to the line 5x+2y-4=0. Find the slope of line L O a. 5/2 O b. -2/5 O c. 2/5…

A: We will use the concept If y=mx+c  is equation of line. Than m is slop of line.   If m1 and m2 are…

Q: 5. S(x): x +4 4 4 b. x2 + 16 a. (x + 4)2

A: We will find out the derivative.

Q: 4. (i) Use the parametric equations of an ellipse, z = a cos (t) , y = bsin (t), 0 < t< 2r, to find…

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Q: A large company has installed new robotic equipment in its assembly areas. This new equipment…

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Q: Find the Integral by using the substitution method.  x(7-x^2)^1/2

A: Given query is to find the value of the integral.

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A: Here, note that the cartesian to spherical coordinates conversion is given by: x=ρsin ϕcos θy=ρsin…

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Q: A Ferris wheel is 15 meters in diameter and boarded from a platform that is 5 meters above the…

A: We will find how many minutes of the ride are spent higher than 18 meters above the ground as…

Q: Determine the intervals on which the following function is concave up or concave down. Identify any…

A: The given function,  g(t)=3t5-20t4+30t3+80

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A: answer is in next step

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Q: 6 3 х+7

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Q: Evaluate: dar x 3 - 40.471 2 40.187 2 40.748 - 20.748

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Q: Simplify arcsin(sin 6 7). 6 7I

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Q: Choose the point which shows the correct location for the polar coordinate (-2, – 3). 90° WIN 4 150°…

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Q: Using the fact that the points P, Q, and R are collinear (lie on a line) if and only if PQ × PR = 0,…

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Q: し+1 n=1

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Q: The rate of change in the number of urban transit vehicles such as buses and light-rail trains, in…

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Q: find (a) f• g, (b) g•f, and (c) f • f. (i) f(x) = x*, g(x) = x - 1 %3D

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Q: d. Without doing any computations, what do you expect to be the instantaneous velocity of the ball…

A: Since   s(t) = 64 - 16(t - 1)² As we can see that at t = 1 , the above quadratic equation has its…

Q: Find the area of the region in the xy-plane bounded above by the graph of the function f(x)=9, below…

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Q: Use the graphing utility to plot the graphs of y = cos (x) and y = 2x. (Enter multiple functions of…

A: We will graph the functions.

Q: The given graph is a graph of a one-to-one function f. Sketch the graph of the inverse function f O…

A: Inverse function of a Graph : The inverse of the function y=f(x) can be written as x=g(y) or…

Q: C) = ("; ')-(,".) ')-(,",) +: n . Show that : .r.

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