What is the value of the differential if f(x) = x + 2x - ! x = 8.4 and dx = 0.86. Round your answer to four decimals. Answer:

Q: S(x)=x(2x-1)^2   Use differentials to approximate change when x changes from 5,000 to 6,000

A:

Q: 5. For what values of r does the function y = e™* satisfy the differential equation 2y" + y' – y =…

A: Given , differential equation       2y" + y' - y = 0   (2D2 + D - 1)y = 0 The auxiliary equation of…

Q: Use variation of parameters to solve the following differential equation for r'y" – 5xy + 5y = r³…

A: x2y'' -5xy' +5y=x3+x2A second order Euler non-homogeneous ODE has the form of ax2y''+bxy'+cy=gxThe…

Q: If the rate of change in the microwave rays M(x), where x is the distance, decreases with a rate…

A:

Q: Use Euler’s method to approximate the indicated function value to 3 decimal places, using h = 0.1.…

A: According to Euler's method, for the differential equation of the form; dydx=f(x,y)…

Q: 10. 2ste tds +(s²e-t - t)dt = 0

A:

Q: Straight lines with slope half the value of the x-intercept

A: The equation of a line is defined as y=mx+b, where, m is the slope and b is the y-intercept.

Q: After t hours, the percentage of alcohol in the blood decays according to the differential equation…

A: After time t=9.555 hours....they can legally drive...for detail solution...go through the solution

Q: If the pressure P applied to a gas is increased while the gas is held at a constant temperature,…

A:

Q: Find the particular solution to the differential equation. (Remember to use absolute values where…

A:

Q: The isotope thorium-234 has a half-life of 24.5 days. (a) What is the differential equation…

A:

Q: If the length of the subnormal at any point Pon the curve is directly proportional to OP² , where O…

A:

Q: - ydx + x(Inx – Iny - 1) dy = 0, when x = 1, y = e %3D

A: Let's find.

Q: dy 2. When does the differential equation Cekt represent exponential growth? exponential dt decay?

A: We need to explain growth and decay.

Q: The differential equation of the form = sin x has a degree equal to dy %3D Enter your answer as a dr…

A: We have to find out degree

Q: What is the differential equation of the family of straight lines whose slope and x - intercept are…

A:

Q: What is the general solution of the differential equation of (x + y?) dx + xydy = 0 %3D

A:

Q: 5. x'dy-y'dx= xydy

A:

Q: separation of variables.

A:

Q: For what values of r does the function  y = erx  satisfy the differential equation  y'' − 8y' + 2y…

A: Given,     y=erx and differential equation  y11-8y+2y=0

Q: The differential equation of the family of straight lines whose sum of slope and x-intercept is…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: y=2xy'-Iny' Find the general solution of the differential w w ww equation.

A:

Q: The amount y of the drug Warfarin in a patient’s body after t hours satisfies the differential…

A: We have to find the time and the rate of dissipation of the drug increase or decrease.

Q: For what value of is the differential equation (6zy + cos y) dr + (3ka²y? – 3y?) dy = 0 exact?

A: Exact differential equation

Q: Solve by rewriting the differential equation as an equation for dy , for x21 with y(3) =1 dx dx The…

A:

Q: 3x =2 when x= What is the particular solution to the given differential equa

A:

Q: 3) For an ideal gas, the pressure is related to temperature and volume by the formula 8.31T V . If…

A:

Q: Find the particular solution to the differential equation. (Remember to use absolute values where…

A: Given,           dydx=x+1xy , where x=1 , y=4

Q: The differential equation of the family of straight lines whose sum of slope and x-intercept is…

A:

Q: Use the method of variation of parameters to solve differential equation * d'y - kdy же 4x² dx and…

A:

Q: What is the order of the differential equation which has a general solution given by y = Cie-2a +…

A:

Q: The intensity L(x) of light x feet beneath the surface of the ocean satisfies the differential…

A:

Q: The intensity L(x) of light x feet beneath the surface of the ocean satisfies the differential…

A:

Q: 2 3. Scanned with CS CamScanner

A: we have obtain the differential equation from the given curve

Q: For small, slowly falling objects, the assumption made in the text that the drag force is…

A:

Q: The rate of change dP of the number of wolves on an island is modeled by the following differential…

A: Let's find.

Q: Q5: Assuming that drag is proportional to the square of velocity, we can model the velocity of a…

A: We have to solve the problem using Euler's method.

Q: After t hours there are P(t) cells present in a culture, where P(t) = 4000e 0.3t. (a) How many cells…

A: We can answer first three parts of the question as per the honor policy. Please resubmit other part…

Q: 4) For an ideal gas, the pressure is related to temperature and volume by the formula 8.317 P = If…

A:

Q: What is the order of the differential equation d²s ds + s = dt = 4t3 – 24? dt2

A: Order of a differential equation: The order of a differential equation is order of the highest-order…

Q: 5) Approximate the values by using differentials: a. 99 b. e0.1 с. 2.015

A:

Q: The intensity L(x) of light x feet beneath the surface of the ocean satisfies the differential…

A:

Q: Given the equation y=2x^2+2x, determine the differential dy for x=3 and dx=0.4. Round your answer to…

A: Given y=2x2+2x. We need to find the differential dy for x=3, dx=0.4

Q: 8. Use a linear approximation or differentials to estimate the value of v15, knowing the exact value…

A:

Q: The integrating factor for the following differential equation is by² dx = x (2x³ + y) dy y? (E) y?…

A:

Q: Use the method of your choice to find the general solution of the following differential equation. y…

A: y'(t)=2tyFormula∫dxx=lnx+C∫xndx=xn+1n+1+C

Q: Find the approximate value of the following by use of differentials. 1. √626

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: During surgery a patient receives midazolam, a sedative, to produce amnesia and ensure they do not…

A: We have to find C(t) as a function of t.

Q: For what values of r does the function y = e" satisfy the differential equation 2y" + y' – y = 0?

A: