If z = e4x + y In(x), find zx and zy. Zx Zy %3D

Q: Evaluate: a In(x + y) e-y. dy dx

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Q: z = e4x + y ln(x), find zx and zy.

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Q: solve. (exy + e²) dx + (zey + e*) dy + (ey −exy - e'z) dz

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Q: 1. Find dy for each of the following: dx d) y = e +x° +e° e) y = x° Inx 1) In(x + y) = e*-

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Q: Find y': y = ez² + 3x² + e²e Oy = e + 3x ln x + e²ex Oy' = e + 3x²-1 Oy = e + 3x² In a Oy = e +…

A: Given y=e12x+3xe+e2e Given query is to find the derivative y'

Q: 4) xy dx + (y + 1)e¬*dy = 0 Ans: (x – 1)e* =-+ + c (Xie, 2010)

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

Q: a- If w = x² + 2xy and x, y change from initial values (x = 1, y = 3) By amounts dx = 0.01 and dy =…

A: Given: w=x2+2xy So, dw=2x dx+2y dx+x dy...(1)

Q: If g(x) = - [e' - In(2t+1)]dt, find g''(x) . dx A e* -In(2x+1) 4 B (2x + 1)² 4 C (2x + 1)² 2 D (2x +…

A: To solve the following problem

Q: Given y+In(-) = e dy then dx x(y+1)

A: Given: y+lnyx=e We know that ddxuv=vdudx-udvdxv2                                                 ..1

Q: Bernoulli dy + xy = dx y # 0 уз

A: The objective is to find the general solution to the given differential equation

Q: Eliminate the arbitrary constant. xcos(xy) + e^x  lny = c

A: We can use application of derivative in order to solve the given problem.

Q: Find the integrating factor of the D.E. of y(2y+ 4x – 2)dx – 2(x+ y)dy = 0. 3x b. e-2x d. e2x a. e…

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Q: Obtain the General Solution of dx + xydy = y²dx + ydy.

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Q: f(x, y) = log, (3x) fe dy In(3x)/(yln(y)2)^2 ||

A: Topic- partial differential

Q: , 4cosx dx dy

A: First draw the region of integration. Then, use the region of integration to change the order .…

Q: n/3 SS ycos(xy)dydx= - π/ 3

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Q: 4. S Sp(x² + y³)dxdy, wherein B = {(x, y) E R²; 0< x² + y² < 1}

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Q: X = e not inelude th degreo QUmbelin

A: The triangle is shown in diagram ,

Q: S S* e*(y + 2z) dz dy dx

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Q: If g(x) = -S^*[e²− ln(2t+1)]dt, find g''(x) . dx 2 (A (2x + 1)2 Be* -In(2x+1) 4 (C) Ce¹+ (2x + 1)² 4…

A: Here is the solution of the given problem.  By using derives under Integral.

Q: b) ƒ(x,y) = ln(3x + 5y).

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Q: dy Зу (x + 1)+ dx x+1 2.

A: First i i have find the integrating factor and the general solution.

Q: y et 2x *Sec2X Pinel dy o

A: By using these differential formulas that are ddxex=ex, ddxax=axlnx where a is constant,…

Q: find ƒx , ƒy , and ƒz . ƒ(x, y, z) = ln (x + 2y + 3z)

A: Given, ƒ(x, y, z) = ln (x + 2y + 3z)

Q: S: +3 What is the antiderivative of dx ?

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

Q: Given: S^(1+ 2x)e-* dx. Using integration by parts and letting u = -1- 2x, dv =¿f(x)dx, then the…

A: we have to evaluate, ∫0∞1+2xe-xdx Let u=-1-2x and dv=32-23e-x where fx=-23e-x…

Q: 6) e2*dx +?ydy = e²*dx +ydy – 2dy + eln(x)dx

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Q: 2. Given the joint pdf of X and Y, fxx(x, y) = { '0" (4xy 0<x< y <1 other wise Find the marginal…

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Q: xdx – Va² – x² dy = 0

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Q: General solution of (ylny − e¯xy)dx + (² + xlny) dy = 0

A: Let's solve given diffrential equation.

Q: dy _ 2y = x-'y¯1 y(1)= 3 dx

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Q: 'a-x - dx atx valuate

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Q: dy Find in terms of a and y if æ In y + y° = 6 ln x. 3 dr

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Q: 4. ydx + x(Inx - Iny - 1) dy = 0, when x = 1, y = e

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Q: ution of yl = x+xy2 W

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Q: dy for e dx (*² +1), 6. Determine ln( 19) + x² – xy =

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Q: If g(x) = d __*[e' - In(2t+1)]dt, find g''(x) . dx -2

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Q: find ƒx , ƒy , and ƒz . ƒ(x, y, z) = yz ln (xy)

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Q: Solve the Bernoulli's DE: (x°y3 + 1) dx + x4y2 dy = 0.

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Q: If z + In(e³x – e + e²) = 0 %3D - find dx at the point (0, 0)

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Q: find general Solution of D.E. 4xydx +x'dy +3y^dx +2zydy=x

A: Note:- As per our guidelines, we'll answer the first  problem as exact one was not mentioned. Please…

Q: If p(xy) =y is an integratingfactor of the the DE. (12+Sxy)dr + (6xy+ 3x2)dy = 0 Then, the values of…

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Q: 3x 6 1 -In xy dx e-In √x dx +dy +=dx = e-mxx y X

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Q: flx, v) = { xe-x(1 + y) x20 and y 2 0 otherwise rmine E(XY). ulate Cov(X, Y) and p. X, Y) =

A: Given Two components of a minicomputer have the following joint pdf for their useful lifetimes X and…

Q: Solve the following linear IVP by first finding appropriate integrating factor an dy x = 2y², y(1) =…

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Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.