If the average value of f(t)=3t2+18 t-20 over the interval [0, b ] is 2, then b

Q: The linearization of ex at x = 1 Estimate to five decimal places the magnitude of the error involved…

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Q: The integrating factor of the LDE y' = x - 2ycotx is

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Q: Find the critical points and test them using D(x,y) for f(x,y)=4x-3x³-2xy². Hint: use fy=0 to create…

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Q: Find the local linear approximation to f(x) = Vx at x = 1 and use it to approximate both 1.1 and…

A: To know which one is better we have to compare with calculator values of sqrt(1.1)  and sqrt(0.1)

Q: (1) Use the linear approximation of Va at x = 9 to estimate the value of v8.7

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the other…

Q: Use the linear approximation of f(x) = at r = 0 to approximate f(-0.1). 1+r

A: Use the linear approximation of f(x)=1/(1+x) at x=0 to approximate f(-0.1).

Q: Using a local linear approximation of f(x) = v4 + x at a 0 to estimate the value of v4.3 gives

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Q: Find the average value of the function f(x) = on the interval[2, 5]. x2 + 2x () n(2) +n7) A В None…

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Q: Find the linearization L(x) to the function f(x)= Vx+4 at x =4, then use the linearization to…

A: linearlization of f(x) at x=a is  L(x) = f(a) + (x-a)f'a)

Q: Find the average velocity of the function over the given interval. 3 , [4,7] y = X-2 O A. 7 О в. 2 3…

A: We have to find average velocity

Q: The output at a certain factory is Q(x, y) = 6x² + 3e36. ỹ+ 3y. %3D where x and y denote,…

A: The function is Qx, y=6x2+3ex36y+3y2. The marginal rate of substitution is given by dydx=-QxQy…

Q: Find the local linear approximation of the function f(x) = /1+ x at xo = 3, and use it to…

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Q: Find the local linear approximation of the function f(x) = V1 + x at xo = 3, and use it to…

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Q: Find the linear approximation L(x) to y = f(x) near x = a for the function.  F(x) = (1 / x) , a = 2

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Q: Find the linear approximation to f(x) = cos(x) near a =- [Where L(x) = f(a) + f'(a)(x – a) ] 3

A: Solution: The objective is to find the linear approximation

Q: The correlation coefficient between two variábles X and Y is r= 0.6. If Sx = 1.50, Sy = 2, X 10 and…

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Q: Determine the average rate of change of f(x)=2x+1 on the interval 4<x<5. a) f Ax b) Af Ax = 2 O d) 4…

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Q: Compute fe F d where F (x, y) = x² + y). (2xy + x, Hint: Is F conservative?

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Q: Find the linearization of the function given below at the specified p f(x) = 4 In(x) at a = 1 L(x) =…

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Q: Determine the linear approximation of f(x) = =ª at æ = 1. O a. y=- 4x-3 O b. Not in the list O c. y=…

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Q: The linear approximation at x = and where B is: 0 to 1 X is A + Bx where A is:

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Q: Find the local linear approximation to f(x, y) = 4x² + y² at P(2,3)

A: We have to find the linear approximation of above function at (2,3) please see the explanation…

Q: Fínd a differentiable curve y(x) that minimizes J = +

A: The objective is to find the differentiable curve yx that minimizes J=∫01y'x2+c2yx2dx if y0=0 and…

Q: 3) Consider a particle of mass m in a one-dimensional box of width L. Apply the variational…

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Q: Graph the function f(t)=(t − 1)² and find its average value over the interval [0,3].

A: Follow next step

Q: Find the average vale ot f(x)=Dx²e-2x overthe interval [-1,1]

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Q: Consider f(x) - x In x. The step size, h, of Trapezoidal rule required to approximate ) dx within an…

A: Given: fx=xlnx Then, f'x=x1x+lnx=lnx f''x=1x Now observe that f''x≤1, for all x

Q: Find the equation of the normal line to the curve y = x3+ at (1, 4). O a. y = 4 O b.y = -4 OC.x = -1…

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Q: 1. Find the average value of the function f(x) = x³ + 3x + 5 on [0,2].

A: The given function is

Q: 27. Find the length of the curve Vcos 2t dt y = from x = 0 to x = "/4.

A: The given curve is We know that by Second Fundamental theorem of calculus ,if F(x) is continuous on…

Q: 4x 28. If R = and errors in x, y, z be 0-001. Show that the maximum relative error at x = y = z = 1…

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Q: 24.) Given the function f(x)=x²– 2x Estimate J f(x) dx using four subintervals by . finding R4, L4…

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Q: Find the local linear approximation of the function f(x) = v8 + x at xo = 8, and use it to…

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Q: Find the linear approximation of f(x) = Vx +I at a = 1.

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Q: Find the average velocity of the function over the given interval. 3 y=2 (4.7] y = x-2 3 OA. O A. 10…

A: Note: As per our guidelines, we are supposed to answer only one question. Kindly repost the other…

Q: Find the linear approximation of f(x) = Vx at xo = 27.

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Q: The function f(x, y) = 2xy + yx + 11 has two critical points. Select one: True O False

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Q: Integrate from f(x) = x4 from 0 to 1 by (Trapezoidal Rule) with h = 1, h = 0.5, h = 0.25 and…

A: Here, f(x)=x⁴ So, I=  Integrate from f(x) = x⁴ from 0 to 1. Now we can solve by Trapezoidal rule,…

Q: Find the average rate of change of the function f(x) = 2x- 4x 8, on the interval r E [-3,2]. |3D

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Q: Find the linear approximation to h(x) = Vx at x = 2. Use the linear approximation to approximate the…

A: Given function is, h(x)=x4.

Q: Given that the average value of f(x) = 21.6x? - 14.4ax + b on the interval [0, a] equals 12, then b…

A: We will use the average value formula to first calculate the average value of the function over the…

Q: The second order partial derivative of w with respect to s (mean ws) where w(8, t) = 2s*t$ + 5st² +…

A: we have to find the second order partial derivative of w with respect to s where…

Q: (1) Where on the line r = ay does the function f(r, y) = (x – a)² + (y – 2)² attain its smallest…

A: We need to check on the line x=ay.....................(1) if there exist a minimum for the function…

Q: 3. If f(x) = (1–- t²)e*dt, on what interval is the curve y =f(x) upward? concave

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Q: The average revenue is defined as the function R(x) Ř(z) (x > 0) Prove that if a revenue function…

A: Let Rx denotes the revenue function. The average revenue function is defined by Rx=Rxx where x&gt;0.…

Q: Find the points (x, f(x)) of the graph of f(x) = x4 − 4x3 − 2x 2 + 8x + 12 such that the normal line…

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Q: Use the Quotient Rule to compute the following: t2 + 1 at t = -2 dt \ t2

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Q: 1. Use the Gauss forward formula with xo = 2.0,h = 0.15, n = 7 to find an estimate for f(2.5) if %3D…

A: Given: fx=xlnx. x0=2.0, h=0.15, n=7.   We can solve this by using Gauss forward formula