Consider the function f(x) = (x+3. a) Calculate the value of f(-1.9). Give your answer as...
please answer each part with steps included! 3. (10 points) Consider the function f(t) = 32 - 10, and notice that its positive zero is == V10. In this problem, you will use Calculus to estimate 10 to several decimal places. (A) (2 points) Since 3=V9 is close to V10, it is a good place to start. Write down the tangent line to y=f(x) at a = 3. (b) (2 points) Now find the intercept of the tangent line to...
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
5e= 2y at the point (4, 8, 5) |Find the tangent plane to the equation z Preview xy at the point (6,8,10), and use it to approximate f(6.15, 8.19) 12 Find the linear approximation to the equation f(x, y) = 5, Preview f(6.15, 8.19) Make sure your answer is accurate to at least three decimal places, or give an exact answer 5e= 2y at the point (4, 8, 5) |Find the tangent plane to the equation z Preview xy at...
Previous Problem Problem List Next Problem (1 point) Use the linear approximation to f(x, y) = Vx2 + y at (4, 2) to estimate 4.12 + 1.9. Use decimal notation. Give your answer to three decimal places. V4.1? +1.9% ~ 4/sqrt3+(10*2ys help (fractions) Droni Aw OL
3. For f(x) = e-x and h = 0.6 a) Use forward and backward difference approximations to estimate the second derivatives of f(x) at x = 2. Use the least accurate formulas available.b) Using the most accurate centered difference formula, estimate the second derivative of f(x) at x=2.
Let f be the function defined by f(x) = 12 exp(x2 – 3x). The function exp(u) is another name for e". a) Find L(x) the linear approximation to f at 3. L(x) = help (formulas) b) Use the Linear Approximation for f(x) = 12 exp(x2 – 3x) at 3 to estimate f(3.08). f(3 + 0.08) help (decimals). c) Find the error in the linear approximation to the value of f(3 + 0.08) that we found in part b). The error...
write the equation of the line that represents the linear approximation to the following function at the given point a. answer a, b and c. a. Write the equation of the line that represents the linear approximation to the following function at the given point a b. Use the linear approximation to estimate the given quantity approximation - exact C. Compute the percent error in the approximation, 100. where the exact value is given by a calculator exact f(x) =...
(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...
2. Inorder for your phone to calibrate, it's important to have a good idea of how different T and T really are but also to be able to do that on the fly, without too much computation TO do this, we'll use linear approx inution. Specifically, we'll letェ= u2/02, so that and then approximate the function 1/V1-2. (a) Calculate the equation of the tangent line to the function f(z) = atェ= 0. (b) Use the tangent line to approximate the...
Find the equation of the line tangent to the graph of f(x)=−2cos(x) at x=π4 Give your answer in point-slope form y−y0=m(x−x0). You should leave your answer in terms of exact values, not decimal approximations.