For stems (3) to (8) refer to the grien: À = x2i + (2x*-y)j - yzk and = 3x?y + yz 23 find the fellowing : = X7L + %3D

Q: xpáp -1 dydx In(y)

A: Since you have posted multiple questions I can do first question as per our company guidelines…

Q: For y=5x^−2+8x^−3−7x−4, find dydx.

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Q: When z = f(x,y), which of the following is true for the whole statement? %3D

A: We have given function z=f(x,y). We need to check which of the conditions are true for the given…

Q: from y = ae + be %3D 2.

A: y=ae4x+be-4x ....(1) Differentiate both side w.r.t x dydx=4ae4x-be-4x        ....(2) From (1) and…

Q: dy ) Find dr 1 if y = %3D 5z13 Answer:

A: Given,  y=1/(5x+3),  dy/dx at x=1

Q: What is the need of y=mx+b

A: The need of y = mx +b is given in the next step.

Q: If a and b are the lengths of the legs of a right triangle and c is the length of the hypotenuse, c2…

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Q: - y² + 22 = 169 at (5,0,12). %3D (1) . i+3 3 3 -) i+ k, 6. 12 12 =) i+k, (d) k. i+

A: In this question, the normal to the curve is calculated using the finding gradient of the function.…

Q: Suppose the revenue (in dollars) from the sale of X units of a product is given by: RCx) 24x2 + 36x…

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: Apply Uptimal obtain y, y₂₁ and y for the pr 3

A: given y'=t+2y h=0.1 and y0=1 to find the y1,y2,y3 proceed as follows Apply Runga Kutta 2 order…

Q: Sheldon is trying to fry Leonard’s brain and is channeling a circular radioactive wave whose radius…

A: Given that: Rate of increase of radius = 7cm/s                   Location of Leonard = 250 cm east…

Q: Q₁ /Find x, y E R for: -i+1 2-i c) √

A: To find x, and y for the below complex number. −i+12−i

Q: If y2 is positive, then y1 + y2 will lie _______ y1 by a distance equal to ____.

A: Consider a function y=sinx+1. Here y1=sinx and y2=1>0positive.

Q: 3. PS bisects ZP of A PQR. If QS = 2x - 4 and SR = x+1, PQ = 8 and PR = 5, find the length of SR and…

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Q: Suppose z varies directly with y and directly with the cube of x. If z = 2304 when x = 4 and y = 9,…

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Q: For what values of r does y(t) = ert satisfy y′′ − y′ − 6y = 0? (Show all steps

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Q: Q: Find the Domainand Rang e .y--2 Sec 2(층-곳) +3 TT 2 Sec 2¢ |

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: The total revenue and total cost (both in dollars) for selling q Objects are given by TR(q) 800g –…

A: when a function is increasing its derivate is >0 but when its decreasing its <0

Q: 4. The square STUV has diagonals that intersect at point W, where SU = 4x + 26 and TW = 8x- 41. Find…

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Q: Evaluate xy ds, where C is describe by æ = 4t, y= 3t, 0 <t<1. Enter your answer as a number in…

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Q: In Exercise, verify that S and T are inverses.

A: GivenS:R2→R2 by Sxy=4x+y3x+yT:R2→R2 by Txy=x-y-3x+4yTo check S  and T are inverse of each other.

Q: TF x and y are orthon ormal rectors then Pind Value of Ilx+y12 - ||x-Y2

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Q: For the DE y = xy², y(0) = - 1. Then, y(2) = Blank 1

A: The differential equation y'=xy2, y(0)=-1

Q: Solve ¤(0) = – 2, y(0) = 8 %3D y' 13 -4 #(t) y(t)

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Q: 2. If LM = 10 and PS = 11, what is KN? ls 3. If PS = 2x + 4 and KN = 5x+ 2, and LM =-3x + 8, what is…

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Q: (a)2t – 2 + (y')? + 2ty'y" = 0, y(1) = -÷, y'(1) = 1 %3D %3D

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Q: or the DE y' = xy2, y(0) = -1. Then, y(2)=

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Q: Euler's difFQ 3. (y()) =VZ Eq cal g'ral-2y cx ) =x (y (x )

A: Given differential  equation:-    y' - 2y = xy3        y(1)=2√2

Q: SUppOrE THAt y VEIES DIRECTLY WITH X ANO y =9' WHEN X = 18 X HUIM WRITE A DIRECT RAATES. VAQMOW…

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Q: ? lim (z,y) (1,1) 2x – ry – y r2 – y2

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Q: dy de y =(x-1)(x+1) If x=3 equals ? then

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Q: find the unKnown X the tow. equal metries atb to 2(646)46 to where a and b are Constantts

A: Do factorisation division to deduce the factors

Q: E(x,y) = 3x²+2= -6x+ &y+I6

A: Finding the critical points of the given function

Q: Use the substitution u = (x – 1) to find S Tx-1) dr, |(x-1) giving your answer in terms of x.

A: Substitute as given in the question Take the derivative on both sides to write it in differential…

Q: 4) Lett =,u = x? - y² ,v = 4xy³. Find %3D ax ду

A: t=uv

Q: 3. If PQ = x - 5, QR = 2x – 1, and PR = 21, find x. %3D

A: Explained below

Q: Find at (2, -2, 1) if dy x2 + y? + 22 = 6xz + 6yz + 21 %3D

A: Given that x2+y2+z2=6xz+6yz+21 Then we have to find ∂z∂y

Q: Show for Re(2) > 1 ez - 1dr = r'(z) 5(2). %3D 0,

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Q: dy dr² in terms of x and y given that 6- 7xy = 6x - 7y %3D 22. Find

A: Given that ,6-7xy=6x-7y differentiate this equation with respect to x ddx(6-7xy)=ddx(6x-7y)…

Q: as Find w = 1° + 2y? I = r - s; y=r+2s2

A: Given:w=x3+2y2x=r-sy=r+2s

Q: Find the of the fol Howing term valke Value 3- 2. 4- 5.

A: In the question it is asked to calculate the determinant of matrix. 354723465.

Q: Given: Right AXYZ with XZ = YZ and XY XZ and YZ 10 Find:

A: Given: In a right angled triangle XYZ, XZ=YZ and XY=10 .

Q: Suppose y=ect where c cannot be equal to 0. If a is a given positive real number, when does y=a?

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Q: Given: Right AXYZ with XZ = YZ and XY 10V2 Find: XZ and YZ

A: Consider the right triangle XYZ,  XZ≅YZXY=102

Q: 1. If y = kVx and y = 180 when x = 36, b) What is y when x = 9 ?

A: Given that, y=kx,when x=36⇒y=180.we have to find the value of y when x=9.

Q: find the me value of funchio fix.y) = Sn+ 1y %3D 2n+y32

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Q: For x=In /t y=2, find y" when

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Q: Find y' if y= sechx+ cothy Select one: - sechx cothx O y' = 1+ coth?y - sechx tanhx O y = 1+ coth?y…

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Q: A manufacturer of open steel boxes has to make a box with a square base and a capacity of 1 kl. The…

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