Find fræ, fry and fun for the function YY f(x, y) = 3x2 + 3x?y² + 2xy+ + 3y³ Select one: O a. fræ = 6 + 6y², fxy O b. fræ = 6 + 12y², fæy = O c. frr = 6 + 6y², fæy = O d. fææ fyy = 6x2 + 12æy² + 12y. 12xy + 12y, fyy = 3x? + 24xy² + 12y. fyy = 6x? + 24xy² + 18y. 12x? + 12xy + 18y. 8xy + 12y*, YY 12xy + 8y, 12 + 6y, fay = 6xy + 12y°, fyy 3 = O e. None of these

Q: 2 Separation of Variables: x(y+1)dx + dy = 0 %3D

A:

Q: Find the slope of the tangent line to the graph of the given function at the given value of x. 1/2 3...

A: Since you have asked multiple questions, we will solve the first question for you. If you want any s...

Q: The graph of the derivative f'(t) of f(t) is shown. Compute the total change of f(t) over the given ...

A: Function change and slope     Answer is  192

Q: 6. lim (0.2)

A: As per bartleby guidelines we only give first question answers. 

Q: Find the area of the surface generated when the curve y = x2 from x = 0 to x = 3 is revolved about t...

A: Let's find. 

Q: owing is equivalent to sin (-0)cos Ocsc (-0)sec (-0) for all values of 0 for which c(-0)sec (-0) is ...

A:

Q: I.TRUE or FALSE: Read carefully the statements below. Choose A if the statement is ALWAYS TRUE, othe...

A:

Q: Determine whether​ (a) through​ (c) are​ true, and give an explanation or counterexample.

A:

Q: 4. Homogeneous Diffe rential Equation: (r+2ry-4y kdx-(x² -8.ry-4y kdy= 0 y Use the substitution y wx...

A:

Q: F IND THE DIFFERENDAL EDMATION OF THE FAMILY ○た PLANE CURVES DESCRIBEP. DRAW AT LEATT THREFE MEMBERS...

A:

Q: 40 -2 3 --10 Given the function f(x) shown above, f(x) > 0 over which intervals? Ox 2 -3 2 Ox 1

A: Given:-

Q: lim (In 2x + 5) + 4 r→-1

A:

Q: Write the first five terms of the sequence: { +o0 11 In n n=1 Determine whether the sequence converg...

A:

Q: Evaluate the limit. (Use symbolic notation and fractions where needed.) ((-- ) m;) - 3n lim x-37/2 l...

A:

Q: 5. Exact Differe ntial Equation: x(3xy-4y' +6dx+(x' -6x'y' -1dy = 0

A:

Q: dx 5. Evaluate J 9-4x² eax dx 6. Evaluate f 1+e6x dx

A: topic - indefinite integral

Q: 3. Separation of Variable s: x(y+1)dx+ dy = 0

A:

Q: a?, x = 4, and y = 0 16 Find the volume of the solid obtained by rotating the region bounded by y = ...

A:

Q: - Separation of Variables: x(y+1dx+| 2| dy = 0

A: Given:- x(y+1)dx+yx2dy=0   To find:- General solution of given differential equation

Q: Direction: Read then solve the question carefully. Click the letter of the correct answer. If one ca...

A:

Q: V3 The slope of the curve y = y -x² at the point V3 is 2 -- 4

A: Follow the procedure given below.

Q: Consider the polar equation r = 4 cos(0) – 13 sin(0). (a) Convert the given polar equation to a Cart...

A:

Q: dx 3. (a) Evaluate S (b) Evaluate Jo x²-6x+10' 1+sin x 1 dx

A:

Q: Use a linear approximation (or differentials) to estimate the given number. e0.015 Step 1 To estimat...

A: NOTE: Refresh your page if you can't see any equations. . the given number is  here the given numbe...

Q: If h(x) = V5 + 4f(x), where f(1) = 5 and f'(1) = 2, find h'(1). h'(1) =

A:

Q: Find the differential equation of the family of plane curves described. Draw at least three members ...

A: To find :The differential equation of the family of plane curves described.Draw at least three membe...

Q: Find fla) for f) = x? +6 Aind fre) for fY) = x-5_ Frnd flay for f(x) = × ² -4x+} Find fr x) for floc...

A:

Q: Approximate dx using the midpoint rule with four subdivisions to four decimal places. J2 In(x) The a...

A:

Q: Constants: A and B B cos(wt + A)

A: Differential equation  Elimination of arbitrary constant 

Q: 9. The differential equation (3y cosx+4xe" + 2x'e' dx + 3(sin x +1)dy=0 is exact because aN

A:

Q: The length of the curve y=In sec x from x=0 to x=b, where 0 < b <, may be expressed by which of the ...

A: Given length of the curve y = ln secx.Below find the solution in the image.

Q: If y = x/T, then y' – 1/*. Select one: O True False

A: Given - y = x/π  To show :- y' = 1/π    

Q: A particle moves along a straight line and its position at time t is given by s(t) = 2t – 21t + 36t ...

A:

Q: Given that the position of particle is defined in terms of time by the equation below, where x is in...

A:

Q: 2) Sketch the graph of the curve with the polar equation: r=2- sin(20).

A: Polar equation of the curve is r=3-sin(2@)

Q: Let g (x, y) = 7 sin(xy) – 9x² In(y) + 4. Find the degree 2 polynomial, p, which best approximates g...

A:

Q: Separation of Variables: x(y +1)dx+ y dy = 0

A:

Q: Answer the question below: Let h(x, y, z) = ze*y + x² cos(z) cot(y³). The student should find hyzx.

A:

Q: 3. What is the derivative of y = (f(g(f[g(x)))? Furthermore, if you are asked to evaluate the deriva...

A:

Q: 5) Determine whether each integral is converge 16 1 a) xp= 1 b) Vx-1

A:

Q: 1. The order of the differential equation 5x- d'y aty + 3x + w'y = 0 is

A:

Q: 7. Find y" if x4 + y4 = 16

A:

Q: Find the arca of the region bounded by y = e, the r-axis, and r > 0. You will need to evaluate an im...

A:

Q: 1 COS X 13. lim- ズ→0 14. lim e -3x+4 15. lim 4x+7 ー-00

A:

Q: oWE NING METHOD OF VNDETERMINED COE FFI CIENTS (o -4D+3) x = 2 cost + 4 vint

A:

Q: SOWE FOR THE ORTHO GON AL TRAJECTORIES y² = 4x² (1-ex)

A:

Q: Homogeneous Differential Equation: (x* +2xy – 4y² Jdx – (x² – 8xy – 4y² kdy = 0 Use the substitution...

A:

Q: Find a plane through the points (1,-4,1), (-8,-8,3), (2,-3,-5)

A: NOTE: Refresh your page if you can't see any equations. . given points are

Q: An airplane is flying in calm air with an airspeed of 300 mph. If the plane is gaining climbing at a...

A:

Q: A lighthouse is located on a small island 3 km away from the nearest point P on a straight shoreline...

A: