a) Find the values a such that the average value of the function f(x) = 10 − 4x + 9x^2 on the interval [−a, a] is equal to 22.

Q: Using the Simpson's 1/3 rule of integration with 14 segments, the number of points at which the…

A: In Simpson's 1/3 rule

Q: Find the average value of the function LX TEX f (x) =4sin| on the interval [3,6]. COS 4

A: Dear learner, as per our guidelines we can provide the solution for first one only. Kindly post…

Q: Find the average value of the function on the given interval. f(x)=x²-7: [0, 1] Set up the integral…

A: Average value of a function f(x) on [a,b] is given by, V=1b-a∫abf(x)dx

Q: Find the average value OF: f(x) = 2 sinx + 3 cosx on the interval [0, π] Average value= OF C is the

A:

Q: Find the average value of f(x) = sin³ x cos³x on the interval [0,1].

A: We need to find average value.

Q: 19) Derive a one point integration formula to estimate the integral f (x) dx.

A:

Q: calculate the average over the given interval. f (x) 1] = cos x,0, π6

A:

Q: Let f(x) = x sin(2 x). Find its average value for 0sxs/2.

A: Given the query is to find the average value of function over the interval [0,π/2].

Q: Calculate the average value of f(x)= x sec2 x dx on the interval [0 , pie/4 ]

A: Average value of function f(x) is :

Q: Find the average value f(x) of f(x) = 2x² + 3x + 3 in the interval [1,4]. %3D

A:

Q: Find the average value have of the function h on the given interval. h(x) = 8 cos4(x) sin(x),    [0,…

A: The given function h and the interval is,

Q: Find the average value of f (x) = x cosx² for 0<x< V 2

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Q: Determine the average value of the function y = 3 sin( [ n/ 9] x) on the interval 0 s x 9. 3 2.5 2…

A:

Q: Find the average value of the function f (x) = x – x² on the interval [0,2]

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Q: Find F'(x), where F(x)= int. of ((t^2)+1)dt, from sin(3x) to x=-4. Use the 1st rule of the…

A:

Q: The forces of the human gastrocnemius tendon during traction and during recoil can be approximated…

A:

Q: Find the average value of f(x) = ln x on the interval [1,2].

A:

Q: Determine the average value of f(x) = 6x – 2 over the interval (0, 6]. (Enter your answer as an…

A:

Q: Find the average value of the function f (x) = 1 on the interval [0, 2]. Leave your x+1 answer in…

A: Use the formula for the average value of a function.

Q: b. It is known that on the integration interval -1 <x< 3, for the integrand function f (x): 2.2 <…

A:

Q: Let f be the function given by f (x) = sin(2x) cos(1 +x). What is the average value of fon the…

A: Given function f(x)=sin(2x) cos(1+x)       ; 1≤x≤3 use the formula 2 sin A cos B = sin(A+B)+sin(A-B)

Q: Find the average value of the function f(x) = 2sin®(x)cos³(x) on the interval

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Q: 1 find the total differential dz. axeta TU

A: Find dz

Q: 12. Use integration to determine the average value of y = a² sin(b²x) between x = %3D 0 and x = b² *…

A:

Q: 4. a) Find the average value of the function over the given interval. f(x) [4, 25] Vx'

A:

Q: A raptured pipe in a North Sea oil rig produces a circlar oil slick that is y meters thick at a…

A: Thickness of the oil slick y (in meters) at a distance x (in meters) for x &gt; 0 is given by,

Q: 2. a) Compute the integral fa f(x) dx using 5 point composite rectangle, trapezoid and Simpson rules…

A: We shall solve the part a) only if you want us to solve the other remaining parts kindly resubmit…

Q: Use Simpson's Rule with n = 4 to estimate the average value of %3D f(x) = 2ª on the interval [1, 9].

A:

Q: find the average value of the function over the given interval f(x)=1/sqrt(x) [4,9] find all…

A: Average value of function f(x) over Interval 9 , 6 is given by Average = 1b-a∫abf(x) dx

Q: Which of f (x) = x sin2 x and g(x) = x2 sin2 x has a larger average value over [0, 1]? Over [1, 2]?

A:

Q: Find the average value of the function over the given interval f(x)= cosx ; [0, π/2]

A:

Q: 2. Use the composite trapezoidal rule to estimate the integral of y = sin(x) %3| from x = 0 to 2.…

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Q: find the average value of f(x)=tanx on the interval{0,π/4}

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Q: Compute the average value at the function よ(x) %= (bx2+ x+ 28)e^ on the d(x) = (bx?+ on the interal…

A:

Q: Find the minimum value of n that guarantees an error of no more than 1/30,000 in approximating the…

A: Given the integral: Hence we have

Q: Determine the average value of f (x) = 2 ln (5x + 5) over the interval 1 < æ < 3. %3D

A: we have to determine the average value of f(x)=2ln(5x+5) over the interval 1,3

Q: Consider the function f(x)=4-sin(2x) on [0,2T1]. Find the linearization (equation of tangent line)…

A:

Q: A ruptured pipe produces a circular oil slick that is y meters thick at a distance x meters from the…

A: The given function is undefined at x=0. Lets take out x,

Q: 14) Find the average value of f(x)= 3x-2x+5 over the interval [-2, 3]

A: We will use the below formula to find the required value

Q: 2. Let f(x) Vx+2 The average value of f on the interval -,1| %3D x+3

A:

Q: Find the average value of f(x) = v9 – x² on [0, 3]. -

A: Topic = Function The average value of a function over an interval is defined to be the integral of…

Q: Find the average value of the function on the giveninterval.   f(x)   = Sin4x  , [-π ,π]

A: Given- fx=sin4x To find-  The average value of the function on the interval -π,π. Concept Used- The…

Q: 8e. What is the average value of the function f(x) хе [0, п /4]). sec^2(x) over the interval

A: Dear student, You have posted multiple questions, in our policy we have answering the first…

Q: Find the average value of the function on the giveninterval.   h(x)   = Cos 4x Sinx  , [0 ,π]

A: Our Aim is to find the average value of the function given below:-h(x)=cos4 (x) sin (x) on the…

Q: Find the average value of f (x) = 4 – x² over the interval (0, 3).

A: The average value of the function fx on the interval a,b is defined by Average Value=1b-a∫abfxdx.…

Q: 3. Estimate the value of the integral 1 dx (n = 4) using Trapezoidal rule. 1+ln x

A: The value of h in the trapezoidal rule is h = b-anh = 5-34h = 24h = 0.5 Form a table with the x…

Q: 4 * on the Find the average value of the function f(x) = 3x interval 2 < x < 6

A:

Q: 6. Consider the so called step function х 0 Calculate the average value of u(x) on [-1,1]. Is there…

A: Consider the given step function,

Q: 4) First make a substitution and then use integration by parts to evaluate the integral. (Use C for…

A: