dy Solve (x2 + 2y) 교 = xy; y(-1) = 1 dr

Q: Evaluate the integral x(x® –4) dx 1. O 1 10 (xº – 4)" +C 50 O 1 +C 60 10 +C 10 x° ( x7 -4x +C 6 7

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Q: Given the function y = x3 - 5x2 - 8x + 3. Determine the following: a. maximum point b. minimum point…

A: The given function,  y=x3-5x2-8x+3

Q: dx S. 2x - 1 e

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Q: dx 7. S. 9x2+16 tdt 8. S 9. S V25 – 4x²

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Q: Question 9 19. Se3z tanh(e3) In cosh(e³²)dz a. 1/6 (In cosh (e"))² +c c. 1/3 (In cosh (e))² +c b.…

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Q: - Evaluate sin 0 if cos 0 = 2/5 and 0 is in quadrant I. Evaluate cos 0 if sin 0 = -1/4 and 0 is in…

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Q: (x+y–1)dx+(2x+2y+1)dy=0 Coefficients Lincar in Two Variables: %3D

A: The given equation is: (x+y-1)dx+(2x+2y+1)dy=0⇒dydx=-x+y-12x+2y+1⇒dydx=-(x+y)-12(x+y)+1...(1)

Q: The following series is divergent: n°-2 Σ 5n4 n =1 Select one: O True O False

A: Here,    an = n5-25n4nSince, there is n in power then root test will solve the problem:   an1n=…

Q: 2. Evaluate ((x +3)° 3x²dx. A) x* +3)* + C B) + 3)* +c D) * + 3}° +C a

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Q: Find the curvature of the space curve. r(t) = - 3i + (3+2t)j + (t +8)k %3D

A: The given curve    r(t)=-3i+3+2tj+t2+8k

Q: If f(æ) = 8 sin-(*), then f (2) =

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Q: Complete the table by identifying u and du for the integral. dx u = g(x) du = g'(x) dx du = dx |…

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Q: If f(x, y) = 16 − 4x^2 − y^2 , find fx(1, 2) and fy(1, 2) and interpret these numbers as slopes.…

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Q: Question 3 [ a} J: Determine whether the following series (-1)"5"-1n Σ 42n+1 n=1

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Q: Aruduns B) 3 cucans cockuns D)radrans cucians radians 5. COAvert the ancle in radiGns to degrnes. 55…

A: 6) cos(theta)<0, csc(theta)<0. 7) theta is -5 pi/4.

Q: Question 1 ( (a) Use the Second Derivative Test to find the local extreme values of the function…

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Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A: Given query is to find the the function.

Q: Question 2 (. Consider the function f(x) = %3D a2+1 (a) Find the intercepts of the graph of f (if…

A: As per guidelines, I can answer maximum three subparts of a question. Since there are multiple…

Q: x-3 Analyze the following limits and find the vertical asymptotes of f(x) = x -9 a. lim f(x) b. lim…

A: The given function,   f(x)=x-3x2-9

Q: 7. Determine the integral| 2+1

A: The given integral,    ∫x dxx2+1

Q: Express the sum using summation notation. Use a lower limit of summation not necessarily 1 and k for…

A: 2+52+3+72+......9

Q: Find the equation of the tangent line at the given value of x on the curve. 3 4 2y° + xy - y =…

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Q: Calculate the first order partial derivatives and find and df dx dy f(x, y) = /x2 + y² f(x, y) = (x2…

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Q: 2.s? (s – 1)(s² + 1) 2s – 13 2 s(s – 4s + 13)

A: Let's find.

Q: dy Differentiate implicitly to find xp ex*y = 7x+ 3y +3 Evaluate the derivative of the each side of…

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Q: The graph of a function is given. Use the graph to find the value does not exist. ta fx) b. f(1) -21

A: solution:-(a)According to the given graph of function f(x)limx→1 f(x)=-3becauseleft hand limit…

Q: Speedometer readings for a vehicle (in motion) at 10-second intervals are given in the table. t…

A: Let's find.

Q: 2. The Auxiliary Equation : (4D - 4D' - 23D² +12D+36)y = 0

A: Topic:- differential equations

Q: Jx In x dx S x

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Q: Differentiate the following function. r(1) = (e!2e!-4e) %3D r(1)=

A: We can solve as follows

Q: Name the given quadric surface and give its axis. (b.) Sketch the surface. (c.) Name its trace on y…

A: The given equation is: -225x2+100y2+36z2=0⇒-x2602+y2902+z21502=0

Q: 5x+9 e

A: We need to evaluate the following integral I = ∫e5x+9dx                           ........1 Formula…

Q: rce Booksh. • For the function f (x) = cot (x): Rewrite f (x) as a composite function f (x) = g(h…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: P5: 4 – 9x²dx

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Q: 1.) Which of the following are TRUE about differentiable function: I If rx) exists, then the…

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Q: O A- 32°, B - 59°, C = 89° %3D

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Q: Question 28 Write the first five terms of the geometric sequence. a1 - 3; r=- O 3. 74 03 3 3 4' 16…

A: A detailed solution is given below.

Q: 1. Use the graph of f(x) below to a Determine tht demain and ramge-ofthe fencion D Tind all x such…

A: From the given graph we have to find its required information.

Q: ►2y Evaluate xy dy dx 0. y-a

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Q: 1. Algebra: Compile 1 application problem for introduction to algebra with solutions and correct…

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Q: 8x -2x3+7

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Q: Which of the following is NOT a differential equation? Select one: x + 2y" = 3 O None. O 2xy' = 3 O…

A: The given problem is solved below.

Q: Convert to degrees. Convert 130° to radians.

A: Given query is to convert indicated angles

Q: The graph of a function is given. Use the graph to find the indicated limit and function value, or…

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Q: x2-4 dx S xVx2-9

A: solution:-∫x2-4xx2-9dx=∫xx2-9dx-∫4xx2-9dx                            =12∫2xx2-9dx-4∫1xx2-32dx…

Q: dy 7. Chain rule of differentiation Using chain rule of differentiation find for dx the following:…

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Q: Find the position vector for a particle with acceleration, initial velocity, and initial position…

A: We have to find r(t)

Q: Instructions: Rewrite cach Sysiems de equalions as a matrix, then pertorm row opeations to Salue: 3x…

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Q: O Suppose we ALREADY KNOW that this field is conservative in Octant I: F (2,y, 2) = (, In (2) + In…

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Q: The figure shows a scale drawing of a water feature and a coin pond that are being installed in a…

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