Find all points (x.y) where f(x.y) has a possible relative maximum or minimum. Then use the second derivative test to determine, if possible, the nature of f(x.y) at each of these points. If the second derivative test is inconclusive, so state. f(x.y) =x -y - 48x + 8y

Q: 10. The following equations are exact except (2xy – y)dx + (x² – x)dy = 0 b. 2xydx + (y? +x² )dy = 0...

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Q: 10. The following equations are exact except a. (2xy – y)dx + (x² – x)dy = 0 b. 2xydx + (y? +x² )dy ...

A: The differential equation of the form Mdx + Ndy=0   is exact  when ∂M∂y=∂N∂x

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Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

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Q: Solve for the particular solution yp of the given differential equation: y" + 3y' + 4y = 4x2 — 2х -

A: Given differential equation, y''+3y'+4y=4x2-2x⇒(D2+3D+4)y=4x2-2x          D≡ddx.............(i)

Q: 5. Find the differential equation of the family of straight lines with slope 1. с. у-1-0 d. y' +1=0 ...

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Q: dy = ay + b whose dt Write down a differential equation of the form all other solutions diverge from...

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Q: Use the ratio test to determine whether the series converges or diverges. If the test is inconclusiv...

A: Given problem:-

Q: Determine whether the alternating series converges. k + 1 E(- 1)*+1. 10k + 1 k=1 O The series conver...

A: Find your answer below 

Q: 25 and sec 0= 24 25 Determine the values of the trigonometric functions of 0, where csc 0= 7 sin 0 =...

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Q: 3) Find the volume of the solid that is generated by revolving the region bounded by y= sin z cosz a...

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Q: 60. For what positive integer k is k+5 a factor of k2+11 while k+11 is a factor k2+5? ANS. 7

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Q: Determine whether the series converges using the limit comparison test. 6k2 – 2k + 7 Σ 30k6 + k – 30...

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Q: Use any method to determine whether the series converge. (a) E =1 12* The series 1 (b2, 12* + 1 The ...

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

Q: Find

A: We will find the antiderivative or integration. 

Q: 2x+10 dr 1²(x – 4) Evaluate

A: Indefinite integral

Q: 2. Given the functions below, find A. (A + B + C +D + E + F) B. (P + Q +R + M + N) (x² +1)(x+1) (2x ...

A: Both parts are solved below in detail.

Q: Solve the given differential equation. All solutions should be found. (4y +2zy) de - (3ry + 2) dy = ...

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Q: Four coins are tossed. Let Y be the random variable representing the number of tails that occur. fin...

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Q: is(=) – 9(=)] dz = F(2) – G(z) + C. The power rule: a dx3=D +C,r+ -1. r+1 NOTE: Enter the ezact answ...

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Q: х3+ 4x2-9х-36 3. у%3 4x2+28х+48

A: Here we have to find the derivative of the given function,  y=x3+4x2-9x-364x2+28x+48

Q: SV-z-2+1, z-2 below, evaluate its limit as z Given the graph of g(z) = approaches -2. 2 3 a. 3 b. 1 ...

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Q: the line y = 8. y-0 x=1 x = 4 Step 1 The distance from the center of the rectangle to the axis of re...

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Q: Use Lagrange multipliers to find the maximum and minimum values of the function subject to the given...

A: v

Q: Problem 4. George is a graduate student and he divides his working week between working on his resea...

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Q: Determine whether the seauence converges or dive-ges. I f it conveges, find the (Inn)" ni+Tn t 1 l00...

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Q: 1. The value of k so that (y +kxy -2x)dx +(3xy2 +20x°y )dy = 0is an exact equation is: С. -5 d. 15 а...

A: Given problem:- The value of k so that (y² +kxy - 2x)dx +(3xy² + 20x²y³ )dy = 0 is an exact equation

Q: S(tan e" +sece" }'e= de

A: follow next step

Q: 3. Eliminate the arbitrary constants c, and c, from y =c, +C,e* y" - y +x = 0 c. y" - 3y' = 0 a. b. ...

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Q: a. Find the derivative function f' for the function f. b. Find an equation of the line tangent to th...

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Q: Given the vectors ā = (2, – 1, 3), b = PQ where P(1, 1, 1) and Q(5, 1, – 1) and Ĉ = i + j + 3k. Find...

A: It is given that, a→=2,-1,3, b→=PQ→ where P(1,1,1) and Q(5,1,-1) and  c→= i→+ j→+3 k→ a) 7b→-3c→b) T...

Q: x2 -4 x2 - x - 2 f(x) %3D (a) State the domain of the function. all real numbers x except x = -1, 2 ...

A: f(x)=x2-4x2-x-2f(x) =x2-4(x-2)(x+1)function is not defined at x=2,-1A) Domain:all real numbers x exc...

Q: 2. Which of the following is a correct classification of the differential equation xy" +2(y')* – y =...

A: We have to classify given differential equation.

Q: Solve the given initial value problen. dy dr 4r'y+y 2 + 3xy y(3) = - 1 Ory-y = 26 Ory +xy = 24 Or+y ...

A: Let's find. 

Q: Find the solution of the given initial value problem in explicit form. - (1 – 5z)y", y(0) 6. y(1) = ...

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Q: diverges. Ifit conveges, find the Determine whethe the seauence converges or 3n an=

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Q: Given sin(x?y²) + y³ = x + y , using implicit differentiation for partial derivative show dy that dx...

A: Implicit derivative dydx of sinx2y2+y3=x+y

Q: Question 16 3x3-5хе\ + 2хcos(x) dx Evaluate: None of the given choices 3x4 5ex + 2sin(x)+ C 4 © x³ –...

A: Option D) x3-5ex+2sin(x)+C

Q: Given the graph of the function below, what is lim f(x) x→1? a.-3 b.4 c.2 d.∞

A: we want to determine the value f(x)  as x goes to 1

Q: Fad ives Find the derivatives: (a). g(x) = tan(cos(3r)), (b). f(x) = tan (cos(3r)).

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Q: 4x + 2x + 3. If Ax 0.1 at x = 5, use Let y = linear approximation to estimate Ay Ay 2

A: A detailed solution is given below

Q: Differentiate (a). y = 23z+sin z² %3D (b). y = r³3=

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Q: 16. The special integrating factor of y?dx + (3xy + y? -1dy = 0 is: С. у d. y-3 a. e3y b. Зу

A: We have given differential equation  y2dx+(3xy+y2-1)dy=0 dx+3xy+y2-1y2dy=0 dxdy+3xy+y2-1y2=0 dxdy+3x...

Q: -0.5x 69. f(x) = e05x + 4e 05x

A: This is a problem of curve sketching. Please find the graph of function below. 

Q: Given the region bounded by y= x^3 ,x = 2, and the x-axis (in Quadrant I) is rotated about the line ...

A: Given problem:- Given the region bounded by y=x3 ,X = 2, and the x-axis (in Quadrant I) is rotated a...

Q: Determine whether the series converges. 7k-1 k=1 O The series converges. O The series diverges. IM:

A: Topic:- sequence and series

Q: Use logarithmic differentiation to find the derivative of y = (secx)tan .

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Q: Suppose the position (in s(t) = -2t2 + 12t for 0 s %3D a). Find the velocity fu stationary, moving t...

A: A) s(t) =-2 t2 + 12tv(t) =dsdt = ddt(-2 t2 + 12t)v(t) = -4 t +12   When the object is stationary, v(...