Solve the optimization problem. Minimize F = 3x2 + 3y2 with xy2 = = 16. F =

Q: Find the area of the region bounded by the graphs of y = x2 – 6 and y – 3 = 0. %3D

A: Given: Two curves y=x2-6 and y-3=0

Q: Write all the possible values of random variable A: Product of two numbers taken from two boxes cont...

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Q: Iculate the derivative indicated. d'y 1 + 322 where y = da2 \1 7 23 nswer:

A: d/dx(x^n) = x^(n+1)/(n+1)

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

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

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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: 3. If y = 4v2 r x – 1, find the length of the graph of f 3 from point a = 0 to x = 1.

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Q: Find

A: We will find the antiderivative or integration. 

Q: sT/4 sec“ (0) tan“ (0) de op(6 dx Vx² +2

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Q: Calculate the following: a) -4 / j^9  and  4 / 2j^13

A: Topic:- complete number 

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: 1. Two particles travel along the space curves r, (t) = (t, t,t) and r2 (t) = (1+ 2t, 1+ 6t, 1+ 14t)...

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Q: 4k+2 7ペ-1 k=1

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Q: For what function M(x,y) will the differential equation M(x,y)+(x² +x)dy = 0 be exact? а. 2ху — у c....

A: Given:M(x,y)dx+(x2+x)dy=0

Q: Consider the following. 303 cos(@2) de First make the substitution x = 02 and rewrite the integral. ...

A: I will solve the following equation and high light the answers by red colour. Hope it would make you...

Q: If L uk and > Uk are convergent series, then > (uk + Vk) and Συ 2(uk – vk) are convergent series and...

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Q: Z= Logyx Find 근xx (2) 근 y

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Q: A large tank filled with 500 gallons of pure water. Brine containing 2 pounds of salt per gallon i...

A: Let A(t) is pounds of salt in the tank at time t.We know that dAdt=Rin-Rout

Q: 5. Determine the convergence set of the following power xn+1 Zn=1 (п-1)!

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Q: Determine whether the alternating series converges. 00 k + 1 9k + 1 k=1 O The series diverges. O The...

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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: A number of matrices are defined as [A] = |1 2 l5 6] [4 3 71 [B] = |1 2 6 l2 0 4] Perform the follow...

A: Note: Since you have posted a question with multiple sub-parts we will solve the first three subpart...

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

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Q: A certain drug is being administered intravenously to a hospital patient, Fluid containing 1 mg of t...

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Q: 13. Which of the following is the solution of [2x + ycos(xy)]dx +xcos (xy)dy = 0 a. x? +cos(xy) = c ...

A: This question is based on solution of differential equation.

Q: Find dy/dx 1. y = sin ( 5x - 9) 2. y = sin-4x/5

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Q: Let the function f be defined by tan(x) – 1 f(x) = sec(x) (a) Use the Quotient Rule to differentiate...

A: I have stated the used formulas in the solution.

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: 18. What is the integrating factor of the differential equation y' =cscx-ycotx ? a. tan x C. sinx b....

A: This is a question related to differential equation. Based on the formula of integrating factor we w...

Q: Directions: Give the set implied by each of the following. For items 1 to 15, refer to the following...

A: Note: As per company guidelines we are supposed to solve only 3 subparts. So, kindly repost other qu...

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: 5. Find T, N, and xfor the plane curve r(t) = (t2, sin t –t cost,cost +t sin t); t > 0.

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Q: The value of k so that (y³ +kxy* – 2x)dx + (3xy? +20x?y³ )dy = 0is an exact equa is: а. 10 С. -5 b. ...

A: A differential equation of the form Mdx+Ndy=0 is said to be exact if ∂M∂y=∂N∂x

Q: B. Determine the intervals wherein the function is continuous and the values of x wherein there is d...

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Q: tollo

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Q: 1. S 3x° + 2x3+7x - 4 dx 2. Sx7 – 48z11 3. S 10t-3 + 12t-9 + 4t³ dt 5z16dz -

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Q: Eliminate the arbitrary constants c, and c, from y = c, +C,e*

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Q: For the next five questions, consider the following differential equation: (y? + cy°)dx + (5y² – xy+...

A: Given differential equation is y2+xy3 dx + ( 5y2-xy+y3siny) dy =0 Also, given that M is coefficient ...

Q: |3| 7/7 2) Find the arc length of y = ln (sec x) from x = 0 to r 11

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Q: Is this function analytic fizz=. (1 +x)? +y2 2

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Q: 9. 10. 10+ 12-10

A: Topic:- function   

Q: What Have I Learned So Far? the letter of the correct answer on the blank. (-2.x, xs-2 1-x²-1,1>-2 1...

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Q: Activity 2: Determine the equations of the normal at each of the points indicated 1. f(x) = x² + 3x ...

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Q: 2 сos(6x) — 6 2? — 2 os(6x) – 6 x² sin(5x) – x2 – 5x - | lim x → 0 - -

A: We have to calculate the given limit: limx→02cos6x-6x2-2sin5x-x2-5x

Q: For the next three questions, consider the following differential equation: (2y sin x cos x – y + 2y...

A: 2ysinxcosx-y+2y2exy2dx-x-sin2x-4xyexy2dy=0  

Q: 1.Determine whether the following sign series is divergent or absolute convergence or conditionally ...

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Q: -dx In 5

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Q: Write the standard form of the quadratic function whose graph is a parabola with the given vertex an...

A: This question is based on parabolic equation.

Q: 5х — 7 (х — 3)3

A: 5x-7x-33The denominator factors are (x−3)3.   For the repeated factor of (x−3),   the decomposition ...