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Find the linear approximation of the function (x) -V1-x at a o. L(x)- Use L(x) to approximate the numbers V0.9 and V0.99. (Round your answers to four decimal places.) V0.9 V0.99 Illustrate by graphing f and the tangent line.
SCalcET8 3.10015 (a) Find the differential dy. (b) Evaluate dy for the given values of x and dx. x0, dx 0.05 dy - Nee
The edge of a cube was found to be 15 cm with a possible error in measurement of o. in error in measurement of 0.4 cm. Use differentials to estimate the m computing the volume of the cube and the surface area of the cube. (Round your anowers to four decimal places) (a) the volume of the cube maximum possible error 270 relative error percentage error X% (b) the surface area of the cube maximum possible error relative error percentage error X cm2 Enhanced Feedback Please try again. Keep in mind that for a cube with edge length x, its volume is given by V xand its surface area (of the 6 faces) is given by s . you can ta on both sides of these onn as to obtain expressions for d and ts. These dinerentials are good estimates of the largest possible error Îν and as Finally, use the given values or .,L, and percentage error, Malos 100%, í x 100%, for the volume of the x and dr (measurement error) to approximate the error, av,d. relative error, Î,α, and percentage dV, relative error, v Need Help?
(a) Use differentials to estimate the maximum error in the calculated surface area. (Round your answer to the nearest integer.) What is the relative error? (Round your answer to three decimal places.) (b) Use differentials to estimate the maximum error in the calculated volume. Round your answer to the nearest integer) cm3 What is the relative error? (Round your answer to three decimal places.) Need Help? subrnite nenner!.saveProresì eraction Anothery erelen.
4. O -13 points SCalcET8 3.10.019 Compute Îy and dy for the given values of x and dr dy - O Type here to search
Show transcribed image text Find the linear approximation of the function (x) -V1-x at a o. L(x)- Use L(x) to approximate the numbers V0.9 and V0.99. (Round your answers to four decimal places.) V0.9 V0.99 Illustrate by graphing f and the tangent line.
SCalcET8 3.10015 (a) Find the differential dy. (b) Evaluate dy for the given values of x and dx. x0, dx 0.05 dy - Nee
The edge of a cube was found to be 15 cm with a possible error in measurement of o. in error in measurement of 0.4 cm. Use differentials to estimate the m computing the volume of the cube and the surface area of the cube. (Round your anowers to four decimal places) (a) the volume of the cube maximum possible error 270 relative error percentage error X% (b) the surface area of the cube maximum possible error relative error percentage error X cm2 Enhanced Feedback Please try again. Keep in mind that for a cube with edge length x, its volume is given by V xand its surface area (of the 6 faces) is given by s . you can ta on both sides of these onn as to obtain expressions for d and ts. These dinerentials are good estimates of the largest possible error Îν and as Finally, use the given values or .,L, and percentage error, Malos 100%, í x 100%, for the volume of the x and dr (measurement error) to approximate the error, av,d. relative error, Î,α, and percentage dV, relative error, v Need Help?
(a) Use differentials to estimate the maximum error in the calculated surface area. (Round your answer to the nearest integer.) What is the relative error? (Round your answer to three decimal places.) (b) Use differentials to estimate the maximum error in the calculated volume. Round your answer to the nearest integer) cm3 What is the relative error? (Round your answer to three decimal places.) Need Help? subrnite nenner!.saveProresì eraction Anothery erelen.
4. O -13 points SCalcET8 3.10.019 Compute Îy and dy for the given values of x and dr dy - O Type here to search