Min Z=2X,+ X2 S.t X,+3X2 >,30 -4X1-2X2 S-40 4X,-2X2

Q: f (x, y) = 3x²: f (x, y) = x² + 3y²: f (x, y) = y – 2x?: f (x, y) = 5x² – 5y²:

A: The function f(x,y)=3x2  Level curves are made by fixing values of fx,y=k.…

Q: x + 2y + z – t = 5 3 x +y+ 2z + 2t = 8 4x + 4y + 3z+ 4t = 22 2 1 5 *+t =, 5

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: 5) (x- 4)² + y² = 9 Center Radius

A:

Q: 4. Calculate(Y/X)- – 2)* if: X = (; -) Y = (% ) z = ( ) (G Đ=z (F- )=« (4- )-

A: We will find out the required value.

Q: f(x) 0.5

A: It is an important part of statistics. It is widely used.

Q: Ex+ 8x3-72x?+4 三X'

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Q: Evaluate the integrals

A: Disclaimer: Since you have asked multiple questions; we will solve the first question for you. If…

Q: Evaluste for 2: 0SIS1,0Sy s3. dr dy .

A: The sum rule of exponent states that ap+q=ap·aq. Use the sum rule of exponent to simplify the…

Q: (d) If F(x, y) = (4x² - y², -2xy), then f(x, y) =

A:

Q: where wage is measured in hourly wage and female is a dummy variable (1 if the person is female, and…

A: a) Formula for R2: R2=1-RSSSST    =1-SST-SSR148.33   =1-148.33-127.62148.33   =1-0.1396   =0.8604…

Q: Calculate fx (1, 3) and fy (1, 3) for f (x, y) = √(7x + y^2).

A: For a function of two variables, partial derivative with respect to one variable is calculated by…

Q: 2 f(x,у) 3 V9- х* -Зу;B Р(3, - 3); 13 3 13

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

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Q: Find dy. y=5th root of x^2(8-2x)

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Q: Find fxy(x,y) if f(x,y) = (x5+y³) 7. fxy(x,y) =

A:

Q: a. If y = 1000(2-0.1x ), find the value of y whenx = 10.b. Use graphical or numerical methods to…

A: If y = 1000(2-0.1x ), find the value of y whenx = 10.

Q: 3. (x* + 2)(x – 10) = Colve for "X": 2 4. Y= x -

A: Given that

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

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

Q: 2y*+1 dy 3

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Q: Evaluatef (cot2x + 2tan²x - 5) dx a. cotx + 2tanx + 4x + C b. -tanx-2cotx - 4x + C c. -cotx 2tanx -…

A: I have stated the used formulas in the solution

Q: Which of the following gives the domain of

A: We have  fx=x9-x2   Domain: Domain is the set of all inputs for which the function is defined.…

Q: Solve 1) y" + y' – 6y = x2 2) y" + y' – 6 = tx Where t: constant

A: (1).   The given differential equation is:  y''+y'-6y=x2 The characteristic equation of the…

Q: 8. fz/25 – z² dz

A: Consider the provided integral, ∫z225-z2dz Evaluate the provided integral. Apply the method of…

Q: Find fy (-1,-4,-2) if f(x, y, z) = x³ z4 + 2xy – y? z + 1.

A:

Q: (D+30+3 (0+30+2)) -2)y ex %3D

A: The given differential equation is: D2+3D+2y=e-xx where D=ddx is the differential operator.

Q: 7 > k(2k + 1) k=1

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Q: f(x,y) = VE +

A: Given :     fx , y =t+1t

Q: Solve S(y + 1) + S(2y -5) = 3

A: Given equation: y+1+2y-5=3 Concept: Here we shall first remove the root by squaring both sides.…

Q: 7. Solve: dy x + 3y dr 3x + y

A:

Q: malie (x+ 1) to (+VZ x +1) (x-Vzx t1)

A: To express: The expression x4+1 to x2+2x+1x2-2x+1. Formula used: x2-y2=x-yx+y x2+y2+2xy=x+y2…

Q: Find average rate-2x^2+3x+5. X=-3 to x =9

A:

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

A:

Q: dx 10) √x²4(14+x²) a) - - - c) - 1 4X ㅗ 4x + 1 andan ²/3 + c autan 1/2/3 + c 8 I ondan 2/2 + c 8 j 8

A:

Q: dr = a(p- 1)(q-), dt

A: In this question, we solve the given initial value problem dxdt=α(p-x)(q-x)withx(0)=0.

Q: ek. che line of best fit is y=-0.4x+ 6.92. ent Time spent -x exercising, y s) (in hours) 10- 6.58 8.…

A: In this question, The equation of the line of best fit is given for predicting the time spent…

Q: 3/2 y 3. dydx 3 X

A: A detailed solution is given below

Q: y= cot(-2x) y4 3 12T 37 -1- -2+ -3+

A: We have to find

Q: Decide whether it is possible to solve the equations xu? + yzv + x²z .xyv³ + 2zu -- u?v² = 2 for (u,…

A: 3.7 Given equations are xu2+yzv+x2z=3xyv3+2zu-u2v2=2 The points are  (x, y, z)≈(1, 1, 1) and  (u,…

Q: (2) S 1 x= V1-x²

A: Solution

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

A:

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

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Q: Find fx(x,y) and fy(x.y). Then, find fx(- 4, – 1) and fy(- 1,3). 23| f(x.y) = In |8 + 5x²y³|

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Q: Find f(-5e3* + VE)dt

A:

Q: r z+9z-2z2+19z-8 (z²+4)² dx

A: Given: ∫x5+9x3-2x2+19x-8(x2+4)2dx first, we perform a long division for the integrand. then use the…

Q: Find 6 [2f(x) – g(x)]dx = i - if 6 6. = 2 and g(x)dx = 10

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Q: f (x, y) x+ 3 ху 3 Бъ-х

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

A:

Q: Compute Δy/ Δx for the interval [2,4] where y = 5x−7.

A: ∆y∆x for function y=f(x) for the interval [a,b] = f(b)-f(a)b-a

Q: Max. Z=10 X, +15X2 S.T 6x1+4x2 <30000 2x1+4x2 2 20000

A:

Q: Find dy and simplify whenever possible. 1. y=(5-6x)¹2 4x-5 2. y=--- 2x + 1 3. y=(2x+5)(4x−1)

A: