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- 5. Klein is located on the tangent line to y=3x2 -x at x = 1.find equation of the tangent plane to the function w= 6x-3y + (x-1) sin (x-1) + (y-1)2022 (<- to the power of 2022) at point (1,1), which of options is true below z= -1 +2 (x-1) -3(y-1) z= 1+5(x-1)-4(y-1) z= 3+6(x-1)-3(y-1) z=3-(x-1)+4(y-1) z= 3-2(x-1)+5(y-1)Use Newton's method with initial guess x0 = 1 to compute two successful approximations of x3-2= 0.
- Jesaki Inc will sell N units of product after spending $x thousand in advertising, as given by N= 66 x−x2. Use differential approximations to estimate the increase in sales that will result by increasing the advertising budget from $10,000 to $10,589. Round to the nearest integer. $Suppose f is differential equation on (-inf, +inf), f(3)=12 and f'(3)=-2 use linear approximation to estimate f(3.3).Use Simpson's 3/8 rule to compute the approximated solution where f (x) = 1/Cosx + 4 defined at the interval (1,4.5) and n = 7
- Verify the given linear approximation at a=0 . Thendetermine the values of x for which the linear approximation isaccurate to within 0.1.Expand x^2y+3y-4 about the point (-1,2) by Taylor's theoremSuppose ƒ is differentiable on (- ∞, ∞) andƒ(5.01) - ƒ(5) = 0.25. Use linear approximation to estimate the value of ƒ'(5).
- Give the linear approximation L(x) of tan(πx) in x=1/4Find the linearization of ƒ(x) = 2x at x = 0. Then round its coefficients to two decimal places.Use Taylor’s formula to find a quadratic approximation of ƒ(x, y) = cos x cos y at the origin. Estimate the error in the approximation if | x| ≤ 0.1 and | y | ≤ 0.1.