Using rectangles whose height is given by the value of the function at the midpoint of the rectangle's base (the midpoint rule), estimate the area under the graph of the following function, using two and then four rectangles. y = 9-x² between x = -3 and x = 3 For two rectangles, area (Type an integer or a decimal.)

Q: a. the maximum displacement b. the frequency c. the time required for one cycle. 21. d = 5 cos 25 TT…

A: Since you have posted multiple questions i can do first three subparts of first question as per our…

Q: 3. Evaluate f ex²dA where R is the triangular region bounded by y = 2x, y = 0, and x = 2. 27

A: .

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A: given  f(x)=(2x2-3)(x2-3x)we know→⇒ d dx(xn)=nxn-1⇒d dx(constant)=0

Q: 7. Determine the indefinite integral 4x 2 x² +5° -dx

A: let  H=∫4xx2+5dxformula used→(i)  d dx(xn)=nxn-1(ii) ∫1xdx=lnx+c

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A: For given question  gx=∫0x ft dt          g'x=ddx ∫0x ft dt   g'x=fx

Q: ing the graph shown a. Find g(1) b. Solve g(x) = 1 c. Find g(1) d. Solve g(x)=1 IN 9(z) 2 42- -3- 3

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A: an=(4n-1)!/(4n-4)! We have to find sequence  an  is converge or diverge

Q: Find a potential function for F. 2 3-4x² 2 y 8x F=- -i y -j {(x,y): y>0}

A: The given conservative vector field is:F=8xyi+3-4x2y2j        (x, y): y>0

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Q: Evaluate the following indefinite integral. 1+7+4 10t 1+7+4 10t dt= dt

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Q: Status. Fill in the blanks below to find f'(x) when f(x)=x²+3. Note: to type a function like x2,…

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Q: 12 The rectangles in the graph below illustrate a left endpoint Riemann sum for f(x) = 8 The value…

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Q: can you please include all the steps?

A: We have to find the area of the shaded region given in the below image:

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A: Given graph,

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A: Given the function is: f(x)=1/2x2 +1 We need to find the area under the curve of f(x) from 1 to 4…

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A: The graph of g'(x) is:

Q: Eliminate the parameter to find a Cartesian equation of the curve. x = csc t, y = cott, y = cott,…

A: x = csc( t )y = cot( t )Formula used 1 + cot2x = csc2x

Q: Find the solution of the given initial value problem. y(t) = y(t) = y(t) = y(t) = y(t) = y" - y = -…

A: NOTE: Refresh your page if you can't see any equations. . take Laplace on both sides

Q: Determine the area of the surface S: z = x² + y², 0≤z ≤9.

A:

Q: lim (t+Δt)2–4(t+Δt)+2-(t2–4t+2) Δt-0 ΔΕ

A: Consider,

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A: e

Q: Estimate the area under the graph of f(x) = √√x + 1 over the interval [-1, 1] using eight…

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Q: Use properties of integrals to determine the value of when S² se I = √₁²5 (² f(x) dx = 12, f(x) dx […

A: given→  I=∫05f(x)dxwhen  ∫07f(x)dx ,  and  ∫57f(x)dx

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Q: Identify the field below as conservative or not conservative. F = (9z+9y)i + (5z)j + (5y + 9x)k

A: The given vector field is:F=9z+9yi+5zj+5y+9xk

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A: We need to find relative price and weighted price.

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Q: A 16° a B

A: Given, in triangle ABC , <A =16° BC=a AB=c We need to find the angle C.

Q: Find the following. S (13½√x - 11x³7) dx - 73

A: To calculate the integral. ∫13x4-11x73dx

Q: 00 4-3 Determine whether the series > 5n n=0 Select the correct choice below and, if necessary, fill…

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Q: Let y'=2xy²; y=- 24 16-x²1 y(2)=2 Then by considering y=(x) as a solution of the differential…

A: y'=2xy2 Then y=2416-x2,y2=2

Q: e G Grades and Attend.... MLA Assignment -2x² + 8 and The shaded region shown below is bounded by…

A: f(x) = –2x2 + 8 g(x) = 2.25x + 4 and the line x = 0 Graph :

Q: 18) Σ (-5)²" n29"

A:

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Q: Evaluate the integral by changing to cylindrical coordinates. √4-y² √4-y² [1 5 x² + y² xz dz dx dy

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A: We need to find dimension of rectangle.

Q: 1. Determine the intersection (if any) of the following planes. Show your work clearly and be sure…

A: (a).The given planes are:π1:  2x+y-3z=5π2:  3x+4y+3z=6

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Q: If  z = 8x2 + y2  and  (x, y)  changes from  (1, 1)  to  (0.95, 0.9),  compare the values of Δz…

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Q: Eliminate the parameter to find a Cartesian equation of the curve. x = csc t, y = cott, 0 < t < T

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Q: K2. Optimization problems typically involve setting the first derivative equal to zero. True False

A: We need to check if the statement is true or false.