Let f (x,y) = 9e2*y what is fryx (x, y) =? %3D Select one: Oa. 36xye2*y + 72xy?e2*y b. 72ye2xy +36xy²e2*y 72ye2xy+72xy2e2xy Od. 36xye2*y +36xy2e2xy

Q: Find an antiderivative F (z) with F' (z) = f(z) = 2+18z2 +18z° and F (1) = 0. Remember to include a…

A: Answer and explanation is given below

Q: Find the most general antiderivative of f(x) = Vx(x-x). %3D

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Q: f(x, y, z) . The total differentia %3D by o af Aæ + af Ay + az fe -Az df o df df · Ay + dz Az Ax +…

A: Given that: w=f(x, y, z)

Q: Evaluate 3xz dV where E = {(x, y, z) | 1 < æ < 3, x < y < 2æ, 0 < z < x + 3y}

A: ∬∫Ef(x,y,z) dV = ∫x=ex=f∫y=cy=d∫z=az=b f(x,y,z)dzdydx                                where , E…

Q: the most general antiderivative function Find f(e) Sx-4+3x %3D t has

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Q: The antiderivative of the function f(z) = + 10z is

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Q: i $ 6x³e**+3 dx. Using integration by parts (S udv = uv – f vdu) and letting u = f(x), dv = 3g(x)dx,…

A: Using integration by parts

Q: Find fæxyzz for f(x, y, z) = z³y² ln(x). [Show your solution.] Select one: O O O x² 6z²y x² 2z³y x²…

A: See this solution in below.

Q: a. Find the antiderivative of f(x) = -25x e F(x) = %3D

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Q: xsin-1(x) is 1– x² If x =0.58 and y = 0.31, then value of C in the antiderivative of F(x) = %3D %3D…

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Q: riable t. If 2sin (x)+4cos(y)=3a dy and dt 3, what is the val

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Q: Find an antiderivative F (z) with F' (z) = f (z) = 3+ 1822 + 18z5 and F (1) = 0. Remember to include…

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Q: find fy CX,Y) it (x,Y)=x2-8xy- 2y?

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Q: Find fzyx. 8.8 f(x, y, z) = x*y°z® +xy³ + y°z f zyz ||

A: GIVEN: f(x, y, z) = x4 y8 z8 + xy5 + y5 z

Q: What is an antiderivative of ... x²+1 x + arctan x – 5 2x + 3 x + arccot x x + 2arctan x + 1 А) в B)…

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Q: B. Integrate the following using the basic rules of integration and substitution. 1. fx2 +5x-x-3 dx…

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Q: Consider the function f(x) = 3z10 + 3z° – 3z² – 4. Enter the general antiderivative of f(z)

A: Given function is : f(x)=3x10+3x5-3x2-4 We have to find antiderivative(integral) of the given…

Q: Identify the homogeneous ODE of first order first degree. dy (x* +3x°y) = 0 dx' (xy³ + y* ) Ob. dy…

A: Solution is in step 2

Q: 3zyz f(x, y, z) = e %3D fz fy = f =

A: The given function is f(x,y,z)=e-3xyz. Evaluate fx as follows. ' Thus, the value of fx is…

Q: Compute fe F d where F (x, y) = x² + y). (2xy + x, Hint: Is F conservative?

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Q: The antiderivative of the function S(x) = is

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Q: IL Evaluate (x + y – 3z) dV where E = {(x, y, z) | - 7< y< 0,0 < a < y, 0 < z < x + y?}

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Q: /// 2xz dV where = {(x, y, z) | 1 < x < 4, x < y < 2æ, 0 < z < x + 3y} Evaluate E E %3D

A: We are asked to evaluate the integral.

Q: dy +y When reduced to a linear DE of order one in z, the Bernoulli's equation |=3x?y? becomes dz (A…

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Q: f(x, y, z) = e-3zyz 三 fy = 三 ニ f.

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Q: Let f (x, y) = r³ + y? – critical points of f . 4xy + 3x + 2y+5. Find and classify all

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Q: 18. Determine the antiderivative of f(x) = 3e2"csch(e2"). a. coth(e2") + C 3 coth(e²") + C с. 2 3 3…

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Q: xsin-(x) If x =0.03 and y = 0.62, then value of C in the antiderivative of F(x) = is V1-x2

A: Given  F(x) = x sin-1(x)1-x2

Q: xyz dV, where E is the rectangular box E = {(x, y, z) : –1 < x < 2,0 < y < 1, –3 < z< 0}.

A: ANSWER:

Q: 2. Find the most general antiderivative of f(x) = 3+22 %3D

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Q: Find L(y). / + 2x = 2 - x' = et (0) = x (0) = 0 -2 L (y) PL(y) = %3D s(s2 +2) 2s L (y) = %3D…

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Q: First order linear in (y-x+xycotx)dx+xdy=0

A: The given problem is to find the solution for the given first order linear differential equation.…

Q: Let y=f (x) + C be the antiderivative of F (x) = determine the value of C (use 3 decimal places,…

A: This question is based on antiderivative of function.

Q: What is the antiderative of xysin((x^2)y)?

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Q: 29. What is the particular antiderivative of f(x) = 6x whose y-intercept is -4? x2 – 1 a. y = 4 ln…

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Q: r an antiderivative of f(x). Do not enter +cas ver: +c

A: topic:- integration

Q: Find the antiderivative of: ii x2 iii 5 iv r-2 x-4 vi xt vii V b From your answers in a, predict a…

A: To find: The antiderivative of the the given expression. Concept used: An antiderivative of the…

Q: f (x, y) = 4xy² + 5a°y fzy (1, 1) = hx

A: Given: - The function is, f(x,y)=4xy2+5x3y To find: - The value of fxy(1,1)=

Q: Find fzyx If f (x, y, z) = ln(x2 + z) + y2exz

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Q: D SS f(x,y,z) dV = f(x,y,z) dx dy dz

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Q: a²y azy C2 for 0 0 %3D at2 y(0,t) = y(L,t) = 0 For t > 0 For 0sxs5 y(x, 0) = f(x) = L L - x For <xSL

A: In this question, we solve the boundary value problem δ2yδt2=c2δ2yδx2the B.C:…

Q: Differentiate e w repect to X. expression (x2+y)" (use D fur dy)

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Q: xsin-1(x) is If x =0.1 and y = 0.11, then value of C in the antiderivative of F(x) = V1- x?

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Q: of of For the function f(x,y) = In (x+ 3y), find and dx df of ду II

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Q: Use the Chain Rule to find dz / dt or dw/ dt.(odd) z = xy3 - x2y, x = t2 + 1, y = t2 -1

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Q: Q1) Evaluate SSS, xyz dV, where Q = {(x, y, z): 0 < x < 2y, 0 < y < 1, 0 < z < x + y }.

A: Since you have asked multiple questions, we solve first question for you. For other question to be…

Q: – 4z) dV where E {(x, y, z) | 0 < y < 1,0 < x < y, 0 < z < x + y²} Evaluate + Y E

A: We just need to put the limits and then integrate as following

Q: ntegrais. I, da, D= {(x.y) 0sxs20sys2% dA, D = x +2 [['e"d4, D={(x,y)| 0s ys 4,0sx<y}

A: Double integration

Q: What is an antiderivative of x+2 ? x²+1 x + arctan x – 5 2x + 3 x + arccot x x + 2arctan x + 1

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.