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Let y = 2(19 - 5x)/2 Use differentials to approximate change in y if a changes...
Use differentials to approximate the change in profit corresponding to an increase in sales (or production) of one unit. Then compare this with the actual chang in profit. Function x-Value P=-0.2x2 + 200x - 80 X = 40 dp = dollars AP = dollars Need Help? Read it Watch Tak to a Tutor 4. [1/2 Points) DETAILS PREVIOUS ANSWERS LARAPCALC10 3.8.034. MY NOTES PRACTICE ANOTHER The revenue R for a company selling x units is R = 800x - 0.1x?...
Use differentials to approximate the change in cost corresponding to an increase in sales (or production) of one unit. Then compare this with the actual change in cost. (Round your answers to two decimal places.) Function x-Value C = 0.075x2 + 6x + 7 X = 10 dollars dc = AC = dollars Need Help? Raadi Wis This to a Tutor 2. (-/2 Points] DETAILS LARAPCALC10 3.8.016. MY NOTES PRACTICE ANOTHER Use differentials to approximate the change in revenue corresponding...
The ulterential of f(x,y) at the point (1,1,3). (d) use to approximate the change in f(x,y) as x changes from x = 1 to x - 1.01 and y changes from 1 to 0.95 9. Let z= f(x,y)= x²y+x?- - 2y +3. (a) Find the critical points for f(x,y) (b) Use the 2nd derivative test to determine the local extrema. [Hint: D = fox fyr - (fxy)]
Let y = 3x2 + 5x + 3. If Az = 0.2 at 3 = 4, use differentials to estimate Ay ΔyR
13. Use the differential df at(5,2) to approximate the change in f(x,y) = x² + 3xy’as x increases from 5 to 5.01 and y decreases from 2 to 1.98. a)-976288 b)-980000 c)-983400 d)-990000 e) none of these
1) 2) 3) Use linear approximation, i.e. the tangent line, to approximate 15.22 as follows: Let f(x) = z² and find the equation of the tangent line to f(x) at x = 15. Using this, find your approximation for 15.22 Given the function below f(x) = -180x3 + 396 1. Answer in mx + b form. Find the equation of the tangent line to the graph of the function at x = L(2) Use the tangent line to approximate f(1.1)....
1. Let Q1 = y(7), where y solves dy dx + 8x 2 = 5x, y(6) = 4. Let Q = ln(3 + |Q1|). Then T = 5 sin2 (100Q) satisfies:— (A) 0 ≤ T < 1. — (B) 1 ≤ T < 2. — (C) 2 ≤ T < 3. — (D) 3 ≤ T < 4. — (E) 4 ≤ T ≤ 5. 2. Let Q1 = y(1), where y solves dy dx + 1.7y = 5e 1.2x...
- 2y²,y(0) =0. 1+x² 4) Consider the IVP y'= х a) Verify that y= is the solution of this IVP. 1+x? b) Use Euler's method to numerically approximate the solution to this IVP over the interval [0,2] in x. Set the mesh width h=0.1. Calculate the true values of y atthe appropriate values of x as well as the error in your numerical approximation. Report your results in the table given. Report answers to four decimal places. Numerical Actual y...
3. Let f(a) 990 (a) Use the differentials to estimate 990 (b) Apply Newton's method to the equation f(z) = 0, derive the recurrence relation of r, and 2,-,, (c) Use Newton's method with initial approximation 퍼 10 to find 8p the third approximation to the root of the equation f(a)0. 3. Let f(a) 990 (a) Use the differentials to estimate 990 (b) Apply Newton's method to the equation f(z) = 0, derive the recurrence relation of r, and 2,-,,...
QUESTION 9 Given E(X)=2 and Var(X)=4, let Y =5X-3. Find E(Y) Var(Y)