Using differentials, if determine the approximate change in y when x changes rfrom 8 to 8.01. y3x3 O a. 0.027 O b. 1.998 O C. 0.889 O d.2.668

Q: log(2² – 2y² – 4x²) In(2 – |2|) - g(x, y, z) = -

A:

Q: If F(x,y) =ln (x2y - xy2), find the partial derivatives Fx (3,2) and Fy (3,2)

A: Given:- If F(x,y) =ln (x2y - xy2), find the partial derivatives Fx (3,2) and Fy (3,2)  

Q: Find if converging or diverging using nth term test

A: ∑n=1∞-1nn5    an = -1nn5    We can now proceed with nth term test.. 

Q: b) y = -2x2

A:

Q: Differentiate the followin f(x) = (2x2 - 3x)* 4

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: 6. Use implicit differentiation to find dy dx x³ + xy-y3 = 7 %3D |

A: Answer: The solution is as given below :  

Q: Oil is leaking out of a tanker damaged at sea. The damage to the tanker is worsening as evidenced by...

A:

Q: An object is moving horizontally in a straight line. The object's position is given by the function ...

A:

Q: 4 f(x)=-3tan(x+- 4 Period f(x) Vertical Shift: Horizontal Shift Start End Increments

A: Solution is given below:

Q: f(x) = and g(x) = 2x 1 and h(x) = 1 4x-1 %3D

A:

Q: In (sin2x) sin2xdx sin3x +C 3 A sin2x +C B sinx +C sin x +C E None

A:

Q: A baseball is "popped" straight up by a batter. The height of the ball above the ground is given by ...

A:

Q: The slope of the secant of the graph of y=3x - 2x2 through the points at which x = -1 and x = 2 is

A: The equation is y=3x-2x2  

Q: The allergy tablet shown consists of a cylinder with a height of 2.05 mm and radius r with hemispher...

A:

Q: (2x^2t-2x^3)dt+(4x^3-6x^2t+2xt^2)dx=0 find the exact equation diff eq

A: We have to find the solution of given exact differential equation

Q: (a) -2f(x) dx 1 6. (b) f(x) +h(x)] dx (c) [2f(x)- 3h(x)] dx 7 (d) f(x) dx 69 (e) f(x) dx (f) f[h(x)-...

A:

Q: Q.4\ The Taylor series for cosh(x) is:

A:

Q: The half-life of silicon-32 is 710 years. If 60 grams is present now, how much will be present in 90...

A:

Q: Find the nth Maclaurin polynomial for the function. 5x - 4 f(x): n = 4 x +1 P4(x) =

A:

Q: Rotate the axes so that the new equation contains no xy-term. Analyze the graph the new equation

A:

Q: Consider the function f(x, y) with level curves as shown below. At the point P are two vectors ū and...

A: Explained below 

Q: 6. Find the exact solution of each equation, no decimals. Do not use a calculator and find the domai...

A: Given problem:-

Q: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region...

A: Here, the region is bounded by y=6sin(πx), the x-axis, y-axis, and line x=1. The areas of the region...

Q: Find the distance between the complex numbers in the complex plane. 1+4i,-1+2i

A:

Q: Determine the absolute extreme values (maximum and minimum) of the function f(x)=Vx² -4x+13, for 0<x...

A: Topic:- application of derivatives

Q: (b) Use the following formulas to set up two integrals for the arc length from (0, 0) to (1, 1). Obs...

A: Given query is to find the length of the curve from (-27,9) to (8,4).

Q: () limに)→(0.0)

A: Due to Bartleby guidelines, only 1question can be solved. Please repost the remaining questions to g...

Q: Let V represent the volume of a cone with radius r cm and height h cm. Write an equation for V (in c...

A: Since you asked multiple questions, we will solve the first question for you. If you need any specif...

Q: y'=2+ye^(xy)/2y-xe^(xy) find the exact equation

A: Exact DE

Q: A In27 +C In3 2ln3 (c) +C (D (3+4) 2 +C In9 E None

A:

Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function f(x) ...

A:

Q: Find the real valued general solution of y" + 5y = 0. %3D

A:

Q: 7. An endangered species of fish has a population that is decreasing exponentially (A(t) = Agekt). T...

A:

Q: Summarize the pertinent information obtained by applying the graphing strategy and sketch the graph ...

A:

Q: QUESTION 1 9dz 9dz The infinity in the can be eliminated by lim J2 (1- 32)4 t+ o'2 (1-3z)4 True Fals...

A:

Q: 3. f(x)=2cot(x-→+1 Period: f(x) Vertical Shift Horizontal Shift Start End: Increments:

A: According to question,Given function,fx = 2 cotx - π2+1

Q: 4x-3, 15. What is the derivative of f(x) ? Зх+2 17 a. (3x+2)2 4x2-3x b. 3x2+2x С. 16 d. (3x+2) 16. W...

A:

Q: . Consider the function f(x, y) with level curves as shown below. At the point P are two vectors 7 a...

A: Solved below

Q: Find the interval of convergence for the given series. E (n + 7)!(x + 12)" n=0 Select the correct re...

A: Let's find. 

Q: 9. A thermometer reading 34°F is brought into a room with a constant temperature of 80°F. If the the...

A: Given: Newton's Law of Cooling: u(t) = T+(u0-T)ekt Where u(t): Temperature after time t T: Temperatu...

Q: If you average 30 mi/h on a 150-mi trip and then return over the same 150 mi at the rate of 50 mi/h,...

A: In this question we have to find the Average speed for the trip.

Q: Find a formula for the parabola shown below. 3- 2 (-1,0)|| (7,0) 5 4 -3 -2 1 1- 4 5 8 -3 40 (0, -4} ...

A:

Q: Choose 3 inequalities that form a system whose graph is the shaded region shown above. DA. 4x - 2y s...

A:

Q: For f(x) = Vx ln x, find a). domain and f', b). the intervals on which f is increasing or decreasing...

A:

Q: 3. Differentiate the following x2-1 a) y = x2+1

A:

Q: Let 5n + 14n 3n - 5n2 - 23 bn 3n? Calculate the limit. (Give an exact answer. Use symbolic notation ...

A:

Q: 1. Find an equation of the tangent line to the graph of f (x) x+8 at (1/2, -17). x-1

A: The required equation of the tangent line to the graph is y = -36x + 1  

Q: What is the center and radius of the sphere that has (1, -2, 2) and (3, 4, -12) as endpoints of a di...

A: Given query is to find the the center and the radius of the sphere.

Q: evaluate the differential equation: -5y +4y =z-2+

A:

Q: sin 20 arctan(sin 0) d0

A: