The maximum value of x +y subject to the constraint x² + y² = 1 is Write in decimal form (two decimal places).

Q: y5 + 2y = x² a. b. 5x – 4y? = + 9x?

A: a. y5+2y=x2b. 5x-4y2=xy+9x2

Q: Differentiate y = -e24x + In(3x – 5). A. 72e24x – 120e24x + 3 y' %D Зх — 5 В. -72e24x + 120e24x + 3…

A: Given query is to find the derivative.

Q: 1-12 For each of the following power series, find the interval of convergence and radius of conver-…

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Q: The terms of a series are defined recursively by the equations az = 5 5n + 2. an. an+1 4n + 11…

A: Here, the given series has: a1=5, an+1=5n+24n+11an

Q: Answer what is required in the problem. d 1 -dt 1+t dx .17

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Q: Solve the second derivative(y") of the following function and simplify the final results. Show your…

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Q: Use the graph of y = fx) shown at right to determine whether fis continuous at 0. (-6,4) 41 94) Is f…

A: We can solve this as follows:

Q: Integration of (sin(x) + cos(x)) e^x is ______________.

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Q: P3: tan 3x sec 3x dx

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Q: The integral 2 X dx | - Vx2 – 4 3 1

A: The objective of the question is evaluate the definite integral.

Q: Find the surface area of the plane ( 15x- 5z+20y=35) if it is in the first octant

A: Here we have to find the surface area of a plane.

Q: Solve the following system of differentia dx = 4x – z dt dy Зу dt dz = x + 2z dt

A: To solve the given equation.

Q: A company estimates that the revenue (in dollars) from the sale of x doghouses is given by R(x) =…

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Q: The solution y, of the homogeneous differential equation y() + 36y" = 0 is O None of them O c_1+c_2…

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Q: For the differential equation (x² – 4)y" + (x – 2)y' + 2y= 0, the singular points are: %3| x=2 and…

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Q: Graph the function. Use the graph to find the indicated limit, if it exists. x20 lim f(x), fx) = -…

A: solution:-f(x)=x3 ,         x≥0-6x  ,    x<0left hand limitlimx→0-f(x)=limx→0--6x=0right hand…

Q: Select one: 2s2 - 2s 6 S-3 O None of these 252 2s + 6 3 3s2 - 3s + 6 2 3s2 3s 6 S-2 Which of the…

A: Topic:- function  Note :- as per our guideline if more than one question uploaded than only first…

Q: Represent the line segment from P to Q by a vector-valued function. (P corresponds to t = 0. Q…

A: Here, the given vectors are: P(0,0,0) & Q(4,5,4)

Q: Rewrite the following equation in logarithmic form and use that to solve for the variable. Show all…

A: To solve for x

Q: Show that the function f defined by (r, y) = (0,0) f(x, y) = { 22 + y (r, y) # (0,0) x + y

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Q: Find the x-intercepts(s). if any, of f. (Type integer values, separated by commas.) x=0 (6, 2) (-2,…

A: We need to determine x-intercepts.

Q: Evaluate the definite integral. I' i+e¯*j+tk )dt O !! k 11 (ell – 1) i – (e- – 1) j + - k O ell – 1…

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Q: In(n+24)158 In(103+12 n)200 The sequence is and its limit is

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Q: The general solution of the fourth-order differential equation y() + y" +y"-0 is: y=c_1 +c_2…

A: The given differential equation is y(4)+y'''+y''=0 ................................... (1)  Let…

Q: Arcsin(x/y) = 4x + 3y

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Q: ady す。e o 25+x2 メp

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Q: In Vix dx sce x dumx dX Serx tam

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Q: The first English dictionary, prepared in 1604 by Robert Cawdrey, defined 3,000 English words. In…

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Q: O O O O For the differential equation (x2-4)y" + (x-2)y'+ 2y 0, a regular singular point is: O x-4…

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Q: 1.Figure out the acute angle between the planes P : 2r + 2y + 2: = 3, : 2r-2y-z 5.

A: You have asked multiple questions and not mentioned which question answer you need so according to…

Q: Stan@ -1}de

A: ∫ tanθ dθ = -lncosθ+C ∫sec2θ dθ = tan θ +C.

Q: II. Find the equations of the tangent and normal lines at the point indicated. a. 7x - 6V3ry + 13y -…

A: Solution is given below:

Q: Express the limit as a definite integral on the given interval. lim n- 00 [4(x;)³ – 4x;"]ax, [(2, 7]…

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Q: Match each 0 with its corresponding quadrant location. -5 , cos O is negative 1 tan 0= Quadrant IV…

A: To match each θ with its corresponding quadrant location.1 tan θ=-512, cos θ is negative.2 cos…

Q: Solving by variation of parameters y"-3y =x we find that: O None of them O u1=(-1/6) x, u_2=-e^(-3x)…

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Q: An auto weighing 1,500 pounds is on a street inclined at 10" with the horizontal. Find the force…

A: Let's find.

Q: Find the nth term of a sequence 2,5,10,17,26, ...

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Q: (y In a In y) da + dy = 0 O In In y + T Ina += C O y= eCa 1 y%3D O Iny Ce

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Q: Q2. An object is kept at a distance of 20 cm from a concave mirror. A real mage is formed at 20 cm…

A: Topic:- algebra

Q: dy Use implicit differentiation to find dx 2x - 5 3y? 2x +5 dy dx

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Q: 4.) f(x) = etinlx)+cos (x) 2+4x+4 5.) (x) = = 6.) S(x) = +r-s)(ar-7) 622-131+7

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Q: fintthe XP COS ५: टे. 8 e

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Q: Solve the equation xy^3 dx + (y + 1)e^(-x) dy = 0.

A: Given:  xy3dx+(y+1)e-xdy=0xy3dx+(y+1)e-xdy=0(y+1)e-xdy=-xy3dxDividing equation on both sides by…

Q: cos(xy) + secy = 5

A: To find out the second derivative y".

Q: For some constant a, the following improper integral a | (x2 + 1)e2×dx 2х converges to converges to…

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Q: Find the angle of the largest right circular cone which can be inscribed in a sphere of radius 9…

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Q: sin x cos x -dx (2 sin x – 1)(sin x + 1)

A: To solve: ∫sin⁡xcos⁡x(2sin⁡x−1)(sin⁡x+1)dx Let I = ∫sin⁡xcos⁡x(2sin⁡x−1)(sin⁡x+1)dx Substitute sinx…

Q: 25 2) V1x-91

A: To evaluate first: ∫dx|x-9| Assume the positive factors and multiply the correction factors:…

Q: Given the following differential equation (E): y" + 2y' + 5y = 0. The solution of (E) is: None of…

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Q: Q5: Find equations for (a) the tangent plane and (b) normal line at the point P, on the given…

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