Ax) b- a -dx = Ax)+f(a+b- x) 2

Q: What is the relationship between Line 1 and Line 2? Line 1: 3x + 4y = 2 Line 2: 4x +3y = 2 %3D %3D

A: Given:Line 1: 3x+4y=2Line 2: 4x+3y=2 Find the relationship between line 1 and line 2.

Q: If y(x) = sec u, then y is * du cse?u du tan u secu dx Option4 Option1 du tan?u du sec?u dx dx…

A: I have given answer in step 2.

Q: Quèstion 17 Solve x33) - 6x²y`+19xy` -27y=D0 | Ocgedx + Czx?nx + c3x (inx)? O Gx²+ Czx?inx +…

A:

Q: Find the domain and range of:

A: (a) We know that the domain of the square root function is always greater than equal to 0. Thus,…

Q: (a) 3 Differentiate y= y 3= us ing first principle. 2x+2

A: we are allow to do one question at a time  if you rest of answere please specify that part and…

Q: Suppose that f(æ, y) = e" = e-3z? - 4y? +y

A:

Q: Syy-mat sama dy ³

A: Follow the procedure given below.

Q: Solve the dff oq 2. 3. 3. %3D 1

A:

Q: S = In sec 3x| + C 13. z sec² 3x dz %3D 3 - tag 3z,- å

A:

Q: Find f, (x,y) and f, (x,y). Then, find f, (3, - 4) and f, (4, - 3). f(x,y) = - 7xy +6y +3 fx(X.y) =

A:

Q: Use Cramer's rule to solve for r' and y in terms of x and y: y = 31' – 2y

A:

Q: 5-4y2 dy 3+2y

A: To evaluate ∫5-4y23+2ydy

Q: 12. Calculate the area and volume of a sphere knowing that the length of its equator is L = 12p cm.

A:

Q: Show that Plx-1,y) = A(x, y) X+ y-1

A:

Q: x = 4 y = x' |(2, 8) y = 8 y = Vx (4, 2) Figuro 1

A: Solution for question a: In figure 1 the region is bounded x=y2,the x-axis, where 0≤y≤2 The formula…

Q: Solve min udr, subject to u(0) = 0, u(1) = 1, ur'dr = c %3D =C.

A:

Q: If x,+iy,=x,+iy2 then x=y, %3D

A: TRUE for part (1) It is given that x1+iy1=x2+iy2. x1+iy1 and x2+iy2 are complex numbers Two complex…

Q: 2ryy' –1-y - 0, y(1) = 2, one can fir

A:

Q: Find fx (x,y) and  fy (x,y).  Then find fx (2, -1) and fy(-4,3)

A: Given: f(x,y)=ln|3x4+5x2y2|∂f∂x|(2,−1)=fx(2,−1)=?∂f∂y|(−4,3)=fy(−4,3)=?

Q: af (2,0) ay f(x, y) 3D хетУ + 5у%; af (2, 0) = Əy

A:

Q: This question is from partial differential equation please sir g give me answer immediately

A:

Q: Solve Ut = Urx, x > 0, t> 0, u (x, 0) = f (x), u (0, t) = 0.

A: Given partial differential equation isut=uxx,     x>0,     t>0ux, 0=fxu0, t=0

Q: If F(x,y,z)=x?y-y²z3 Then fz= -3y²z2

A: Given: fx, y, z=x2y3-y2z3

Q: Find ƒxx ( x, y)  and ƒxy( x, y). ƒ(x, y) = -3x2y3 + x3y

A: Given that, fx,y=-3x2y3+x3y Then we get,…

Q: 9. If y = V-|x|, then Dr = %3D %3D

A: Df :  Domain of function f  The set of all input values where f defined

Q: im(z,v) →(0,0) F(x, y).

A:

Q: Making use of the fact that ˆα = y − βˆx and βˆ = SxySxx, show thatni=1[yi − (αˆ + βˆxi)] 2 = Syy −…

A: Given

Q: b) By using the given substitutions, show that i. Sx(x – 3)5dx =÷(x- 3)“(2x + 1) + C, z = x - 3 14…

A:

Q: Solve for x, y z from X - 1 1 2 Z 3. 6 6

A: 2x-113y=2z66

Q: Find fxy(x,y) if ​f(x,y)=(x^3+y^4)^7. fxy (x,y) =

A:

Q: 4. If f(x, y)=: Vx² +y? 1 , find f, and f,.

A: Given data is : fx,y=1x2+y2  To find fx and fy

Q: Exercise (6): cx=1 cy=2 cz=9/2 ha dzdydx

A: To evaluate the given triple integral

Q: Determine D,f (4,-1,6) for f(x,y,z) = ery + 4zx in the direction of (-3,2,6).

A: Given fx,y,z=ex2y+4zx3 in the direction of -3,2,6

Q: if y=Asinx+Bcosx then prove d2y/dx2+y=0

A: Given,

Q: Find the distance between 4y + 3x = 4 and point (0, 5) O 3.2 3 O 3.4 O 2.8

A:

Q: 3 a AB: 4x + 5y = 13; midpoint (2, 1)

A: The equation of the line is 4x+5y=13. The midpoint of the line is 2, 1.

Q: af(x,yz) -

A:

Q: Lion 1-y If x = Show that 1+y dy V1-y

A:

Q: f (x, y) = {* - kx(x — у),0 <x< 2,-х <у<х elsewhere

A: (i) Consider the property for a joint PDF, ∫-∞∞∫-∞∞fx,ydydx=1 Substitute the values,…

Q: Solve Utt currrx = 0, -0 0, %3D u (x,0) = f (x), Ut (x,0) = 0, -0 < x < ∞ ||

A: Given that,utt+c2uxxxx=0-∞&lt;x&lt;∞t&gt;0ux, 0=fxutx, 0=0The pde is solved as shown below

Q: 11 sec²(3t), 0 < t C₁ and C₂ as arbitrar

A:

Q: A -3 -2 -1- -2- The midpoint of AB = ([ ? ], [ ]) %3D 3. 2. 2)

A: Here,A=(-2,1)B=(1,-1)We know that, mid point of AB isM=x1+x22,y1+y22M=-2+12,1-12M=-12,02M=-12,0

Q: O, x = 2, y = dy dz is

A:

Q: Suppose that z = f(x,y), find for 4 x²z* – 5yz³ + xy? - 3z? = x

A: Given: 4x2z4−5yz3+xy2−3z2=xz=f(x,y)∂z∂x=?

Q: Solve Utt - c²uxx = 0, –n 0, %3D и(х, 0) %3D f(x), и(-п,t) %3D0 %3D и(п,t), и,(-п,t) %3D 0 %3Du,…

A:

Q: What is the range of possible sizes for side x?

A: Consider the third side be x. Apply the fact that the sum of any two sides of a triangle must  be…

Q: Solve Utt - c?uxx = 0, –n 0, %3D u(x, 0) = f(x), u(-n, t) = 0 = u(n, t), ux(-n, t) = 0 = ux(n, t).

A: Given: The PDE is utt-c2uxx=0 , -π&lt;x&lt;π,t&gt;0.

Q: 33) - 2y + y, + y; = 0, y + y', = 4t +2, y, (0) = y, (0) = y,(0) = 0 y + y, = t² +2

A:

Q: Determine Df(4, -1,6) for f(x, y,z) = ery +4zx in the direction of (-3,2,6).

A:

Q: Eliminate the arbitrary conutantu 2. %3D y= ax + be

A: