02. Find the positive and negative regions for y = x² -9x+20. A. Positive: (-,4), (5, +0) Negative:(4,5) B. Positive: (4,5) Negative: (-0o, 4), (5, +0) C. Positive: (4.5, +00) Negative: (-00, 4.5) D. Positive: (-0, 4.5) Negative: (4.5, +0) E. not given

Q: nsider the line y 3-*+3. at ic th

A:

Q: х? +x — 12 minimum point of y x2 – 4 -15.75, -1.03 О 0.25, 2.96 O 15.75, 1.03 -0.25, -2.96

A: y=x2+x-12x2-4 Differentiate both side ,we get  dydx=-x2+16x-4x2-42  Now, put equal to 0…

Q: A company has two plants that produce the same lawn mower. If x, and x, are the numbers of units…

A:

Q: (B) let y = 3sin5x - 2cos5x show that ax y + 25y = 0

A: Given :y=3sin5x-2cos5x

Q: 2y" +2y=2sinx y(0)=0, y'(0)=1

A: Solution y=CI+PI CI=Characterstic integral PI=Particular Integral P.I=sin xD2+1Let D2=-α2so…

Q: A company has two plants that produce the same lawn mower. If x1 and x2 are the numbers of units…

A: Given Revenue , R=300 x1+300 x2-5x22-5x12-10x1 x2-5x22x1=5 and x2=8a Marginal Revenue ,∂R∂x1…

Q: True or False: A canceling linear factor in the numerator and denominator, when set equal to zero,…

A: If there is a hole in a graph of a function than there must be common factor in numerator and…

Q: Differentiate with respect to x: * 1 y = (1– x³) 2

A: Follow the procedure given below.

Q: 7) Suppose y varies directly with x. If y=2 when x = – - what is y when 2 X--0.3?

A: Given the data :

Q: Consider that the relation between the cost of production, the lot of size production and the number…

A: Multiple linear regression model: A multiple linear regression model is given as y = b0 + b1x1 +…

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

A: We will find out the required value.

Q: 11) Find each of the two areas bounded by the curves y=x3-4x and y=x² + 2x Points of intersection:…

A:

Q: y-y1=m(x-x1) y-(-1)=4/5(x-(-1)) y+1 = 4/5x + 4/5 y=

A: The given equation is y+1 = 4/5x+4/5      y = 4/5x+4/5-1         = 4/5x-1/5

Q: Find the local extreme values of ƒ(x, y) = x2y on the line x + y = 3.

A:

Q: y using sub

A:

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: . Show that y x2 2 (xyz)(x – y)(y – z)(z - x) N N

A:

Q: Differenitate: y = esin (z²+2z)

A:

Q: 3. Find the points of inflection: y = x- 2cosx

A: We have to find inflection point

Q: Compute (T2 T)(x, y). T(x, y) (3x, 7y), T2(x, y) = (x-y, x + y)

A: We have to find T2 composition T1 .

Q: 8. Show that y = x° + 3x +1 satisfies y" + xy" – 2y' = 0.

A:

Q: Find y': y=V5+2 — 2 O y = 7-2x 2√5+2x-x² Oy = √2-2x 1 Oy = 2√5+2x-x² 1-x O y = √5+2x-x2

A: We have to find derivative of given function.

Q: Find the area of a parallelogram bounded by the y-axis, the line  x = 2,  the line  f(x) = 8 + 2x,…

A:

Q: 3. Find the points of inflection: y = x-2cosx

A: Explanation of the answer is as follows

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

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

Q: Max Z = 4X1+10X2 %3D s.t. 5X1+4X2 < 200 X1+2X2 s 50 X1+X2 s 20 X1, X2 0

A:

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: Find y' for x 3 + y-3 9. at the point (2, 1). | At (2, 1), y' Preview ||

A:

Q: If the marginal revenue function of a firm r/ (x) = 5 + 3x – x 2 and r(6) = 112, find the total…

A: Given  Marginal revenue function  MR=r'x=5+3x−x2   and   r(6) = 112

Q: Find fyzy. 9,8 f(x, y) = x°y³ – 8x*y + x f yry yxY ||

A:

Q: y = v1- x+ x2 ||

A:

Q: Find the points of intersection of x = 4y and y = 4x. (ans.:(0,0),(16,64))

A:

Q: 4) Find y' if y= (x^+ax}*

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: 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: Compute ƒxxx and ƒxxy for ƒ(x, y) = x3y.

A: Given function - f(x, y) = x3yConcept - While partially differentiating with respect to x, other…

Q: 32. In y = 2y² - x; (2, 1)

A:

Q: Evaluate y" at x=2 and y=1 if   x4 +  y4 =5.

A: find second derivative

Q: 3 #1 Find y" if xy-y%=4.

A:

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

A:

Q: Find y' for x°y* + 2x + 2y = 128 at the point (2, – 2). At (2, – 2), y' = Preview -

A: The given equation is: x3y4+2x+2y=128...(1) To find y' at the point (2,-2).

Q: Differentiate: y=v6z -8z3 Oy= (6-24z) V6z - 82 Oy (3- 12) V6z-82 6-24z 6z-8z Oy'= 3-12z 6z-82

A:

Q: In x y of y = 3

A: Find your answer below

Q: 2 lim y→7L_– 4y – 21 3y Зу — 17у — 28 -

A:

Q: Find y' for y= In (x/x^2+1)

A: Solution: The objective is to find the derivative of the given function

Q: Suppose a company has fixed costs of $12,300 and variable cost per unit of $0.20 x+128 dollars,…

A:

Q: Differentiate x²y3 - y2-6x=0 with respect tox. A 3x²y2-2y −6+2ху 3 2х3у2-2y - 6 6-2xy3 3ху2+у В С D…

A:

Q: 2. If x² - xy + y² = 3 find y' and y".

A:

Q: (5) Suppose that A = {(x, y) = R²|x² + y² = 0 or 1 < x² + y² ≤ 4}, then (1, 1) is ( (B) accumulation…

A: Given A=x,y∈R2|x2+y2=0 or 1&lt;x2+y2≤4. We have to find the correct answer among the given options.…

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