Let f be the function defined as follows.
y=f(x)=8x2-2x+10
(a) Find the differential of f.
dy =
(b) Use your result from part (a) to find the approximate change in
y if x changes from 2 to 1.97. (Round your answer
to two decimal places.)
dy =
(c) Find the actual change in y if x changes from
2 to 1.97 and compare your result with that obtained in part (b).
(Round your answer to two decimal places.)
Δy =
We need at least 10 more requests to produce the answer.
0 / 10 have requested this problem solution
The more requests, the faster the answer.
Let f be the function defined as follows. y=f(x)=8x2-2x+10 (a) Find the differential of f. dy...
Let y=3x^2. Find the change in y, Δy when x=4x and Δx=0.2 Find the differential dy when x=4x and dx=0.2
consider the differential equation dy/dx = -2x/y. find the particular solution y = f(x) to the guven differential equation witht the intial condition f(1)= -1 umowed for this question. D Consider the differential equatio find the particular solution y = f(x) to the given differential equation with the initial condition f(1) = -1 46) = -1 Hy=f2 xdx 17 2 + C = -x +C (b) (9.6) be the region in the first quadrant bounded by the graph of y...
In Problems 1 through 10, find a function y = f(x) satisfy. ing the given differential equation and the prescribed initial condition. 1.dy = 2x + 1;y(0) = 3 In Problems 1 through 10, find a function y = f(x) satisfy. ing the given differential equation and the prescribed initial condition. 1.dy = 2x + 1;y(0) = 3
QUESTION 9 Solve the differential equation dy dx =(-2x + 1)y, y(O)=7.7 to find the value of y(3.1)=?? Write your answer to the nearest 4 Decimal places.
Find the differential dg(5, -5) for the g(x,y) = -8x2 + 5xy + 3y2; x = 5, y = -5, dx = 0.01, dy = -0.03
For y = f(x) = x - 2x + 4, find dy and Ay, given x = 5 and Ax = 0.2 dy = (Type an integer or a decimal.)
This Question: 1 pt For y = f(x)=2x-1, x= 3, and Ax=2 find a) Ay for the given x and Ax values, b) dy = f'(x)dx, c) dy for the given x and Ax values a) Ay = || (Round to four decimal places as needed b) dy = f'(x)dx= ( ) ox Bound to two decimal places as seeded
(1 point) Find the length of the curve defined by y=18(8x2−1ln(x))y=18(8x2−1ln(x)) from x=4x=4 to x=8 (1 point) Find the area of the region enclosed by the curves: 2y=4x−−√,y=4,2y=4x,y=4, and 2y+1x=52y+1x=5 HINT: Sketch the region! (1 point) Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y=2+1/x4,y=2,x=4,x=9;y=2+1/x4,y=2,x=4,x=9; about the x-axis. (1 point) Find the length of the curve defined by y = $(8x? – 1 In(x)) from x = 4...
Let f(x)=(x? + 1)^(2x – 1) is a polynomial function of fifth degree. Its second derivative is f"(x) = 4(x2 + 1)(2x – 1)+8x²(2x – 1)+ 16x(x? + 1) and third derivative is f"(x) = 24x(2x – 1) +24(x + 1) +48x2. True False dy Given the equation x3 + 3 xy + y2 = 4. We find dx 2 x' + y by implicit differentiation and is to be y' = x + y2 True False Let f(x)= x...
Slx, y) dx dy for the shaded Approximate values of f(x, y) at sample points on a grid are given in the figure. Estimate domain by computing the Riemann sum with the given sample points. -1.5 (Use decimal notation. Give your answer to two decimal places.) Is(x,y)dx dy = dx dy