
(a) Estimate the value of tan(0.85) using a linear approximation. Let your point be a = use the fact that tan(x) = sec'(x)=- . Give the calculator value to 5 decimal dx cos? (x) places for comparison. (b) i. Give a reason that the function f(x x + x +5 has at least one zero. ii. Use the derivative to show that it cannot have more than one zero. Estimate the zero using 2 iterations of Newton's Method, if the...
1. Linear Approximations. a. (40 pts) Find the linear approximation L(x) to the function f(x)tan(rx) at a (20 pts) Use the linear approximation to determinethe value at x = 0.4 at χ = 0.4, Compute the relative error: Then compare f(x) and L(x) LLarrul × 100% 1f(x)1 r(x)l
1. Linear Approximations. a. (40 pts) Find the linear approximation L(x) to the function f(x)tan(rx) at a (20 pts) Use the linear approximation to determinethe value at x = 0.4 at χ...
Use the linear approximation to RX, Y) = * +4 at (2, 4) to estimate 79. (Round your answer to four decimal places.) Find the percent error. (Round your answer to four decimal places.) Submit Answer
7. Find the linear approximation of f(x,y)=-x’ +2y’ at (3,-1) and use this approximation to estimate f(3.1.-1.04). S (3,-1) = (3.-1) = ,(3,-1) = L(x, y)= L(3.1, -1.04) =
7. (5 points) Find the linear approximation for f(x) = tan(2x) at a = 0 and use it to approximate the value of tan(0.002). Hint: The linear approximation is just the tangent line to the curve at a = 2. 8. (5 points) Use the Mean Value Theorem for derivatives to find the value of x = c for f(x) = Vx on the interval (1,9). 9. (5 points) The acceleration of an object moving along the number line at...
Use the linear approximation method to estimate the value of ln (2.7^2) in terms of e
I need the error in percentage
(6 points) Estimate Af using the Linear Approximation and use a calculator to compute both the error and the percentage error. f(x) = V3 + x. a=1. Ax = 1 Af = 25 With these calculations, we have determined that the square root of 5 is approximately 2.25 The error in Linear Approximation is: .01393 The error in percentage terms is:
Use a linear approximation (or differentials) to estimate the given number. (Round your answer to five decimal places.) V 126
Estimate the sin 5(degree) using local linear approximation. State the differential and estimate the error in the approximation.
Let f(x,y)=x2y2+1.f(x,y)=x2y2+1. Use the Linear Approximation at
an appropriate point (a,b)(a,b) to estimate
f(5.02,1.91).f(5.02,1.91).
(Use decimal notation. Give your answer to two decimal
places.)
f(5.02,1.91)≈
Let f(x, y) = . Use the Linear Approximation at an appropriate point (a, b) to estimate f(5.02, 1.91). (Use decimal notation. Give your answer to two decimal places.) f(5.02, 1.91) - 4.59