Solve the equation (x + 3y)dx - xdy 0 %3D O y? = 5x4 + cx3 O y = x5 +cx3 O 2y = x5 + cx3 %3D O 2y = x3 + cx2

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Q: 2. A tonk initially contains 1oO gallons of brine whose concentration is 2 lb/gal. Brine whose salt ...

A: Given

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Q: Solve the differential equatons (9xy-2y2) dx - ( 6x²_xy) dy =0 4.

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Q: curves

A: Please refer to the image below

Q: 16. Evaluate S x² cos(x³) dx a.) -sin(x³) + C b.) sin(x') + C c.) - sin(x³) + C d.) sin(x') + C

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Q: dz Find in the function ryz + a’yz = cos (xyz) CoS az

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Q: Given the function: f(x, y) = y°e -5x a. Find fyy(x, y) b. Find fyyæz (0, 1)

A: a)f(x,y)=y3e-5xPartial differetiate w.r.t yfy(x,y)=3y2e-5xPartial differetiate w.r.t yfyy(x,y)=6ye-5...

Q: Suppose that the dollar cost of producing x appliances is c(x) = 600 + 110x- 0.1x2 a. Find the avera...

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Q: Solve the differential equation: dy x²y= (x + 1)(y + 1) dx

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Q: Evaluate f(e* +2*) dx a.) 2e* ++C b.) e2* + 2ln* + C c.) e* ++C d) e2x + 2ln x + C Evaluate fesx-2 d...

A: This question is based on indefinite integral.

Q: x?dx ax ax + Barctan () + C x2 + 49 Find: a + B + 8

A: Use formula for integration of 1/(x^2+(a^2))

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Q: 7 1. f(x) = 6 {/x? – 20 {x* + 4 find f (4) (x).

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Q: The graphs of the functions f and g are shown in the figure. y 4 3 f х -1 1 4 5 f(x) Let u(x) = f(x)...

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Q: Calculate the volume of a solid on the first octant and under the plane defined by 2x+5y+6z=33. Roun...

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Q: Eliminate the arbitrary constant a from the equation (z - a) + y = a O = + 2ry' O = + 2ry Ov =+ 2ryy

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Q: 3x2 + 6, x 0 1+ 9x + x3' Find the following limits. NOTE: Enter an exact limit if it exists. If the ...

A: This question is based on Limits.

Q: The Laplace Transform of a displacement is given as +4a s(s+1): with a-2. Calculate the limit displa...

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Q: F. Planes and Lines O Find an equatin The plane each of whose paints idistant to The agu w eq point ...

A: Here ,              We have given two points which are               equidistant from each points of...

Q: Vil 12 sin (x) cos' (x)dx by using walli's formula. 27. a is equal to? A.1 B.O C.1/10 D.pi/2 The def...

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Q: Solve the following equation on (-o, co) 2 cos2 3x + sin3x = 1 %3D

A: Solve the equation 2cos23x+sin3x=1

Q: 32. Solve the differential equation y" + 5y + 6y = 0 when y (0) = -1, y (1) = 3 O y = 3e - 5e*r O y ...

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Q: rrect. Canvas uses right minus wrong scheme in checking multiple Question 6 What is the integrating ...

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Q: A body moves on a coordinate line such that it has a position s= f(t) = ? - 7t + 6 on the interval 0...

A: Given , S =f(t)=t2-7t+6 and interval 0≤t≤6 Formula: Average velocity =[ f(b)-f(a)]/(b-a)

Q: (sim (6)) 45. y - (1 + uan ()) 6. y = ¿(1 + cos (7)" 43. y sin (cos (2r - 5)) Eises 44. y= cos (5 si...

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: Solve using variation of parameters or reduction of order (D² – 3D + 2)y = (1+e²x)¯2

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Q: Solve the differential equations x (x- y²- x)dx =y(x²-y²) dy when x=2, %3D y=0

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Q: (x+2)2 dx (x+2)3 +C (A + 2x+4 In x +C +4x +4 In x + C (x+2)3 D -In x +C 3. B.

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Q: Activity 1: Determine the number at which the function is discontinuous. Show why Definition 1 is no...

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Q: 1. The figure shows the graph of a function f(x) with domain 0 < x < 3. Which of the following state...

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Q: 3. If y = (sin 4x)², find y' %3D a.) 4 sin4x cos 4x b.) -4 sin4x cos 4x c.) -8 sin 4x cos 4x d.) 8 s...

A: “Since you have asked multiple question, we will solve the first question for you. If you want any s...

Q: 4. . Find the radius and central angle in radians of the circular sector of maximum area having a pe...

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Q: E. DIFFERENTIATION Obtain the derivative of the following functions: y = Vx² (2x – a²)

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Q: Suppose that f(z, y) = x°y?. Find the directional derivative of f(x, y) in the directional (1, – 1) ...

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Q: V. 49+x2 16. F(b) is equal to? 28-7pi A. 7pi-28 B. 4 4. 17. F(a) is equal to? 28-7pi A. 4. 7pi-28 B....

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Q: 2. Which is the interpretation of the statement lim f(x) = L ? i. For all x values close to c, but n...

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Q: What is the order of the differential equation? d?y dy + 3 + 9y = 0 dx2 dx O 1 2 Оз O 4

A: Given that the differential equation is     d2y/dx2 + 3(dy/dx) + 9y = 0 Here we have to find the ord...

Q: Seroslun fecos(sin={w)dv ,cos(sin"

A: Follow the procedure given below.

Q: Write the first five terms of the sequence: 13 In n n n=1 Determine whether the sequence converges, ...

A: To find out the first five terms of the sequence and also find out its limit if it is converging or ...

Q: Match the function on the left to its appropriate antiderivative on the right. Prompts Submitted Ans...

A: 1) I=∫14-x2dx Let, u=x2, Then, x=2u  and   dx=2du now, the intergal becomes: I=∫14-(2u)22du I=2∫14-4...

Q: Find the exact value of the expression. cot

A: Cot(x)= Cos(x)/Sin(x)

Q: 2 integrate by parts

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Q: x sin(x² )dx 2.

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Q: 4. y +2xy = x+y

A: Given:- y2+2xy=x+y To find:- First and second derivative of given implicit function

Q: Which of the following integral can be used to find the volume of a solid on the first octant bounde...

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Q: Differential Equation A tank initially contains 100 gallons of brine whose concentration is - lb/gal...

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Q: sin- In2| 4+ tan¬'cos- dx 2 2 1+ cos- |4+ tan-'cos= 2 2sin- In2| 4+ tan-'cos- |dx 2 2 A 1+ cos2 |4+t...

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