3. Y at t = 2, Y¹ = y² + t² > Y(1) = 0, h = 0.1 and h = 0.05

Q: 3. Find syz for ys = In(x + yz) – xcoth-1 log ().

A: Given : Let us consider the given value as,  ys=ln(x+yz)-xcoth-1logzy

Q: What is the amount of salt in the tank at time t = 0?

A:

Q: Find y as a function of x if x*y" + 11xy + 25y = x', y(1) = -4, y(1) = 0. y =

A:

Q: f(x)% 3D tanh In(2x) is equivalent to

A:

Q: 1. State the domain and range of {(x, y)|y = + 3}.

A:

Q: 2. What is the relation between dV /dt and dr/dt if V = ()7r? %3D

A:

Q: 16. 0"(t)(t) = t sint

A: The objective of this question is to find the derivative of the function f(t) = t * sin(t).

Q: An accessories company finds that the cost, in dollars, of producing x belts is given by…

A: The cost of producing x belts in dollars is given by the function,

Q: 1 Find an equation of the tangent to the curve f(x) = /x + 8 that has slope 4 %3D - OA. 1 y =7x-3 O…

A: Equation of the line in slope-point form is:        m = slope (x1, y1) = point on the line

Q: Zad. 1. Check if the function y is the solution to the given equation: a) y(t) =In(t+2), y' = e¯ in…

A: We have to check, whether the function y(t)=ln(t+2) is a solution to the given equation y'=e-y in…

Q: Find the first derivative: y = In V2r³ – 5 O y =: 22-5 O y = 4z 22-5 O y = 62 22-5 O y =; 2z-5 O y =…

A: Here we have to find the first derivative of         y = ln(2x3-5)1/3

Q: Compute the values of dy and Ay for the function y = e3x + 3x given x = 0 and Ax dx = 0.02. Round…

A: Please find attachment

Q: B1. Verify fy = fx for the function f(x,y) = ln(2x- 3y). %3D xy

A:

Q: 5. An object is shot upward from the ground level with an initial velocity of 160ft/s. Its height in…

A: From the Given height function. ht or ft=-16t2+160t   If the object falls back to the ground, it…

Q: 2x Find F'(x) given F(x) = S t2dt. -2x

A:

Q: If a function y = f(x) satisfies = y, %3D then %3D dr y = e".

A:

Q: (b) Find the differential for y = -5 %3D

A: Giveny=4x-53   ...(1)

Q: SSx = 172.5, SSY = 80.6, and ∑[(X – Mx) (Y – MY)] = 95.33, r =  A. .08. B. .01 C. –.81. D. .81.

A: SSx = 172.5 SSY = 80.6 and ∑[(X – Mx) (Y – MY)] = 95.33

Q: Suppose that y = C(t) represents the average cost of a gallon of milk in the United States t years…

A: represents the change in the average cost of a gallon of milk in the United States t years since…

Q: Differentiate. g(t) =  5 − 7t 8t + 9 g′(t) =

A: solution: the objective is to find the derivative of the given function

Q: 6. FinD F(S) if f(t)= t· cost

A:

Q: The marginal revenue for the sale of a product can be modeled by dR/dx=0.04x+100/x+10. where x is…

A:

Q: The number of gallons, H (t), of a pollutant in a pond changes at a rate of H' (t) = 3 – 5e-0.8√/t…

A:

Q: Assume that the dynamics of caffeine absorption are given by Ct+1 = 0.87Ct , where t is time in…

A: NOTE: Refresh your page if you can't see any equations. . the given equation is  compare this…

Q: y=coth 1/x

A:

Q: 18. A rectangle with length l cm, and height h cm, is inscribed in a circle of radius 10 cm, as…

A: We know that for a rectangle,  (height)2 + (length)2 = (diagonal)2

Q: If s(t) is the position on the x-axis of a particle at time t, then the quantitys(t + h)−s(t) / h…

A: If s(t) is the position on the x-axis of a particle at time t,