2 lim y→7L_– 4y – 21 3y Зу — 17у — 28 -

Q: Find both first partial derivatives. z = 8y2 sqaureroot x

A:

Q: Evaluate the indicated partial derivatives. 2 = 9r*y – 3r*y az az dy

A: We know that, The Power law: ddxxn=nxn-1   Given: z=9x2y-3x5y

Q: Find the Undo pet CWor wa)or the form of a particular solution for the differential eguation:y…

A: Introduction: The method of the undetermined coefficient is a way to find the particular solution of…

Q: e Divergence Theorem to evalu (4x + 10y + z²) dS Js

A:

Q: If y- In(3 sinh( 3lnx)), then xy'= Select one: O3 coth( 3 Inx) O 3 /sinh( 3 Inx) O 9 coth( 3 Inx) O…

A: Use the Chain-Rule of differentiation to differentiate the function y.

Q: Find both first partial derivatives. Z = In az %3D ax az ду

A: ∂z/∂x = 1/x    ∂z/∂y= -1/y

Q: Differentiate ysin(1/y)=1-xy

A:

Q: 5 (show resulting de) 2xdx - dy=x(xdy - 2ydx) When: x= -3 , y = 1 %3D

A: Differential equation and it's solution

Q: Prove 8xyz < (x + y)(y + z)(x + z) for every x, y, z E [0, +∞[.

A: We have to prove given identity: Concept:

Q: 5. Find the first partial derivatives of w= In(x+2y+3z) %3D

A: The given function is w=lnx+2y+3z

Q: 1) y = 2sin (5x) ,2) y = In x'n cosh 5x ,3) xsin=14y = y tan-14x 4) y = ecosh (8x),5) y =- t +1 t…

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

Q: Prove that the derivativeo P(zx tJ's 4(2Xbjusiy Pirst Princiele 4(2X+)by jusing first Princiele…

A:

Q: If xy In(3 sinh( 3x)), then x2y'= %3D Select one: Ox coth( 3x ) - In( 3 sinh(3x)) 09x coth( 3x ) - 3…

A:

Q: 2. Show that 4=x i+y°j+:'k is irotational.

A:

Q: 11. Jlgull sin(2t +) dt %3D e2t-3 4 4. 64e3

A:

Q: 4. Show that evx dx = 2Vxevx - 2ev + C Hint: Make a substitution first before doing integration by…

A:

Q: 2 Find つえdy 2 こ( beny s)

A:

Q: Find both first partial derivatives. z= exy az ax az ду

A: Explanation of the answer is as follows

Q: Find both first partial derivatives. z = exy az ax az %3D ду 11

A: This question is related to partial differentiation, we will solve it using given information.

Q: 5xy = 4x²z – 3yz²; yx and yz- %3D Z.

A:

Q: Find both first partial derivatives. z = cos(10xy) az ax az ||

A:

Q: Find both first partial derivatives. z = 10y?/x az ax az ду II

A: Solution-

Q: If y(t) solves the IVP dy = y2021 y2019 y(2021)= -2019, dt then lim y(t) is: t- 00 Oa. 1 O b. 00 O.O…

A: Given differential equation is dydt=y2021-y2019.       ........1 It is an autonomous differential…

Q: Find both first partial derivatives. z = 9xVy az az ду || ||

A:

Q: Compute the partial derivatives: ,2 z = In(x² + y³) az dy

A: Use partial derivative

Q: Find both first partial derivatives. z = sinh(4x + 8y) az ax az ay II

A:

Q: - Using Greens date $(x2 + y)dx bounding of the 0<x<1 and x' sysx.

A:

Q: 5xy = 4x²z – 3yz²; yx and yz.

A:

Q: Suppose that w = x² + y² – z² | And x = psin(4)cos(0), y = psin(4)sin(0), z = pcos(4) Use…

A: Simplify w by substituting values of x , y and z and then solve the partial derivative.

Q: Find both first partial derivatives. z = 14y²Vx az ax az ду eBook

A: We have to find

Q: 11 ComputePydz - zy'dy, nhere Dis descnbed by z² + y²s1. -1/2

A: Given an integral : ∫∂D x2y dx - xy2 dy  where D is : x2+y2≤1 We need to compute the integral.

Q: 4. Given that c(t) = t² + 2, y(t) = t³ – 2t and f(x,y) = x² sin (xy). Using the df and evaluate it…

A:

Q: Find the first partial deravatives of the function

A: Since, only question no. 21 is clearly visible in the image you have provided, that’s why we are…

Q: Find both first partial derivatives. z = 3xVy az ax az ду || ||

A:

Q: If In(ax)dx = 4, then a ( In(ax)dx %3D 1 4

A: we have to find the value of a

Q: 1 lim t→0+ (뉴 1 Vt2 +t,

A:

Q: Find both first partial derivatives. z = exy az ax az ду Submit Answer II II

A: In this question we have to find partial derivatives. In partial derivatives we have to find…

Q: Let – 4x – 2y – 5z* – 4xyz + 619 = 0. az Use partial derivatives to calculate dz at the point (6, 5,…

A: let -4x3-2y3-5z3-4xyz+619=0 to calculate  ∂z∂x and ∂z∂y at the point 6,5,-3

Q: B. Let z- ( x-y)e×y (x-y)exy Show: Zxx + zyy + exy Cya-x3)= -z (xy+ 2)

A: Partial derivative of a function z=f(x,y) with respect to x is the derivative of z keeping y…

Q: Find both first partial derivatives. z = exy az ax az ду

A:

Q: Suppose that x2 = y2 = e and yz = zxy. Show that xy =yx.

A: Since, yz = zxy

Q: Q14. If V = f(2x – 3y,3y- 4z,4z – 2x) then apply chain rule of partial derivatives to prove that 6-…

A:

Q: 3. Use chain rule to find given w = Vx2 +2y2 + z² and a cos (st), y = -2s In t ane 2 = 3s?Vt. 3s2Vt.

A: Follow the procedure given below.

Q: 4. Prove 1 < | V1+ a dx <2 0,

A:

Q: Ôz 12. If z = cos(x y)+ y cos x , where x=u +v and y=u-v use the chain rule to find and ди

A: Given: z=cosxy+ycosxx=u2+vy=u-v2 Recall the chain rule,  ∂z∂u=∂z∂x·∂x∂u+∂z∂y·∂y∂u…

Q: Find all the second partial derivatives (including fxy etc.) a) v = sin(2s^2 − t^3)

A: Please see the explanation below

Q: Suppose that z = z (x, y) is a function that admits partial derivatives of the first order which…

A:

Q: Find the 1st partial derivatives of z=(4x+6y)^11

A: Here we have to find partial derivatives by differentiating it with respect to x ( keeping y…

Q: Suppose z = 2xy where x = t^2 + 1 and y = 3 - t. Use the chain rule to determine which of the…

A: In the given question the functions are given as z=2xy , x=t2+1 , y=3-t . The objective is to find…

Q: Suppose that x2 = y2 = e and yz = zxy. Show that xy = yx.

A: Assume that x2 = y2 = e and yz = zxy.  Now from  yz = zxy we have  yz-1 = zxy-1z-1y-1 = y-1 x-1 z-1…