vork: Find the domains and ranges of the following E 6. y= +4 5. y=Vx -4 8. y= 9. x+3 3+Vx

Q: Identify the removable discontinuity. x2 – 16 f(x) : X – 4 (x, y) =

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Q: Perform the following: 1. State your proposed functions and graph. The region bounded by the two…

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Q: 13. y = x'/9, 0 sxs 2; x-axis

A: The formula for area of revolution of a curve on interval [a,b] about x-axis is given as…

Q: Q3: Find domain and Range. 1 y = Vx- |x|

A: Here we find domain and range of given function.

Q: cransform of 3(t-2) u(t –

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

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

Q: Determine whether "Vr E R, 3y ER (x² + y)(ly|+1) < 4" is true or not.

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Q: y = (e* + 1)*

A: We have, y=ex+1x On taking logarithm on the both of the side, we get the result as logy=xlogex+1…

Q: nclosed by x = y, x = 2 - y and the x-axis?

A: And: 5/6

Q: (11 Suppose that y varies directly with x. When x = y = 30. Find y when x 7. 5, %3D

A: Two variables x and y are given. Among these variables, y varies directly with x. From this direct…

Q: Find a direct variation model that relates y and x. х%3D 7, у %3D 16

A: Given:- x = 7 and y = 16 Find Direct variation model that relates y and x

Q: , y = X = t+2 t+2,

A: The solution of the problem is given in the next step.

Q: Find fyæy. .5. .8, f (x, y) = a"y* – 7»®y + x f yry

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Q: 4. What is the range of the function y = 2(5)*? %D 1) y 0 3) ys0 4) y20 How do you know?

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the equation y = f(x) passing through the points (-11-21), (1,15), (2,12) and (3, 3)? Find also…

A: We will use the Lagrange interpolation method. We have: x x0=-1 x1=1 x2=2 x3=3 y y0=-21 y1=15…

Q: Find the domain and range of f(x,y) = e* + /y + 2

A: We can find the answer given below

Q: find the range 1) y = /1 – 2) y = /3– x V1-x

A: Given: 1.y=1-x22.y=3-x

Q: 3. Using the definition find y' y = x* +x+1

A: Given function: y=x4+x+1

Q: What is the domain of h(x, y) = Vx - y?

A: Given: hx,y=x-y we know that for domain of square root function inside of root not has to be greater…

Q: Calculate fx(l, 3) and /y(l, 3) for f (x, y) =

A: Given: fx,y=7x+y2

Q: eliminate the arbitrary constant for: y=x^2+c_1 x+c_2 e^(-x)

A: Given y=x2+c1x+c2e-x                               (1) On differentiating both sides, we get…

Q: - Determine the value of y when x = 0-1 given that y(0) = 1 and y =?

A: Given that: y(0)=1 and y'=x2+y

Q: y = v1- x+ x2 ||

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Q: If x2 + y2 = 4 which has domain Dr=[-2,2] range Rf=[0,2]. Shrink and stretch it vertically by 3…

A: We are given:  x2+y2=4⇒y=4-x2=f(x) For shrinking vertically by 3 units , we have: f(x)→13f(x) Hence,…

Q: 1. x = y =. M 31 L5y9

A: Triangle properties

Q: Eliminate the arbitrary constants of  y=e^(-3x) (Acos5x - Bsin5x) + Cx Where A, B,  and C are the…

A: It is given that, y=e-3x(Acos5x-Bsin5x)+Cx. Obtain the first derivative as follows:…

Q: ed by F(x, y) = (-: %3D

A: The function given is , F→x,y=-x,y. Draw the table for the points plot on the graph for the vector…

Q: 5. Determine the minimum and maximum values for y = 250(0.90)* for 0 ≤ x ≤ 6.

A: Given data y=2500.90x   To find maxima and minima we need to find critical points by equating dydx=0…

Q: 18. y (1+x) 19. y Vx

A: We have to solve given problem:

Q: 5 Use implicit derivation to find y. x² +y +z =e"-

A: Given,           x2+y2+z2=exyz

Q: What value of c will satisfy y(x) = c(1 – x²) given y(2) = 1 ? %3D ) Option 1 Option 2 2.

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Q: 7. Vr+y=1+x'y 8. Vy =1+x'y

A: Topic = Derivative

Q: 7) Suppose y varies directly with x. If y=7 when x = 2 what is y when 3' X=-1.3?

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Q: 8. y=x²³²₁ x=2, x-axis; about the y-axis ४.

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Q: Find the constant of variation k. y varies directly as x and when, x = 9, y = 18

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Q: a) Let y" + xy' + y = 0 be given. Why does the approach y(x) := e^× does not work?

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Q: ų (H)= - 2y, (t) + 24;(4)= Y,(4) - 2y, (t) +2t t 9,lFS +2

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Q: 4. y = vx + 2 x,for-

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Q: Find y(t). + 20 ( 2+16 S Y (s) = 10 (16) s2+16

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Q: Write down a solution to y' = 4(y − 5) that tends to −∞ as t →∞.

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Q: Solve for y when x=o degrees: y=2sinx

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Q: y = Vx – 4 А. Domain: х > 4 Range : y 0 Range : y > –4 D. Domain: х > 4 Range : y > 0

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Q: yA y = f(x) 10 х

A: Here there are multiple questions and we are doing first only as per our guidelines. Consider the…

Q: find range of y 1 1 X-2 R/{1,2} O R/{2} O R/{1} O R/{0,1} O 1-

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Q: Find: TxTyrTxyjTzy 下x TメッTxx,Te Tez デツッこ,四己 ーXそ

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Q: ng through the point that is ion. 10. (-3, -2); y = x – 2 12. (-1, -6); r + 3y = 6

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Q: 3) If y varies directly with x and y is -6 when x is 2, what is x when y is -22?

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: For a certain mammal, researchers have determined that the mesiodistal crown length of deciduous…

A: Given:The L(t)=-0.015t2+1.49t-7.7, where L(t) is the crown length (in mm)of the molar t…

Q: 6. Suppose y varies directly as x, and y= 16 when x = 8. Find y when x = 16.

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Q: 16. у 3 -5х %3D

A: Given : y=-5x Let :          y=Kx  So constant of variation = K