Find the general solution of 2x². 2² + y? dx Find the general solution of (2x – y) dy 2y – x d.x dy Find the general solution of y + Vx² + y² dx

Q: 4. Find the exact length of the curve. Show All Work and Give Answer In Simplest Form. r = cos“ 2

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Q: Find dx * and then simplify whenever possible. dx2 1) y = 3t5 – 2t x = 4t3 2) y = t-3 – 7 ,x = t? –…

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Q: VII. Let f(x) = %3D 1– 3x 1. Find a power series representation for f(x) for all r € 2. By first…

A: Solution is given below:

Q: 3). 5 dx =

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Q: бх — 8г2 — 5 dx (2л — 1)(4г2 + 1) -

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Q: 1. Evaluate the following integrals. (a) r* log r dr

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Liquid leaked from a damaged tank at a rate of r(t) liters per nour. The rate decreased as time…

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Q: Find plane area inside the polar function r = 2 and outside the polar function r = sin -0)+1 in…

A: The area inside a polar curve ro=g(θ) and outside the polar curve ri=f(θ) is given by…

Q: Given: a, = In(n + 1) – In(n) for n e N Determine if the following is convergent or divergent. (a)…

A: Given that an =ln(n+1) - ln(n) We have to find whether the sequence ann=1∞  is convergent or not. A…

Q: What are all the cube roots of -1 in the complex plane? Mutiple choice options: 1 -1 e(5π / 3 i)…

A: Given problem:- What are all the cube roots of -1 in the complex plane?   Mutiple choice options:…

Q: 3/2 Find the exact area of the surface obtained by rotating the curve x = ÷(y² +2)"¨,1<y<2 about the…

A: I have appended the formula used in the solution part.

Q: CONVERGENT

A: We have to choose the correct option from the given options according to the given information

Q: If f (x) = |x-1| then lim f(x), lim f(x) and lim f(x) are... respectively x-1 x→1- x→1+ x→1 |x-1|…

A: Let's find.

Q: ´ax²-3 -, x > 1 х-1 Value of a and b that will make f (x) = continuous everywhere are .. (bx +2,x <…

A: To find the values of a and b that will make the function continuous everywhere.

Q: Use Gauss-Jordan elimination to solve the system 5x + 7y = -11 2.x + y = 1 Make sure you create the…

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Q: 4 ds = 1 2.

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Q: Given the differential equation xy y'=2 and the initial condition y(a) =3, what is the the value of…

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Q: State difference between Roll's Theorem and Lagrange's Mean value theorem.Is the Roll's theorem true…

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Q: Show clear and detailed solutions. Given: Let A = (1,0, 2) and B = (6,–2, 3) Solve and calculate for…

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Q: Evaluate the following integrals. 1 xp- | #(9 – In² x)5/2 1.

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Q: Find the sum of the following convergent series: [tan(2n – 1) – tan-(2n + 3)]. n=0

A: Here, the given series is: ∑n=0∞tan-1(2n-1)-tan-1(2n+3) which is a telescoping series. Let,…

Q: 5) A pendulum swings though an angle of 25° each second. If the pendulum is 45 inches how far does…

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Q: : cos'x dx to Which of the following is one of the correct steps to evaluate obtain the desired…

A: Here, we have given an indefinite integral in which  we have to integrate a trigonometric function.…

Q: 1 + 2x 2. Find the exact length of the curve y =- 2<x<4.Show All Work and Give Answer In Simplest…

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Q: Evaluate: (cosh22r+ sinh²2r) dr

A: Our Aim is to evaluate the integral given below:-∫cosh22r+sinh22r-(i)

Q: Show that the lines L1 : x = 4 – t, y = 2t, z = :5+t and L2 : x = 1 + 4t, y = 3 – 8t, z = 5 – 4t are…

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Q: 3n+1 Σ 6n-1

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Q: Question A street light is at the top of a pole that has a height of 20 ft . A woman 4 ft tall walks…

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Q: A mass on a spring undergoes an external forced vibration given by 6 d'x =-12x +3cos(2at). 32 dr…

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Q: Q2) Solve the D.E xdy + (2y – xª + 3x)dx = 0

A: This is a problem related to differential equation. Based on the general formula we will answer the…

Q: 1 If the integral A = S -dx is changed using substitution t = tan then A = ... sin x-cos x 1 Jika t…

A: A =∫ 1dx/(sinx - cosx) substitute  t = tan(x/2) differentiate with x dt/dx =(sec2(x/2))/2 dx =…

Q: Use sigma notation to write the sum. 1 +. +. 9(1) 9(2) 9(3) 9(11) 11 Σ i = 1

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Q: x2-9 If f(x) = then f (x) discontinuous at x= 3 because..... x-3 x2-9 Jika f(x) = fungsi f (x)…

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Q: Plot and label the following polar points (r, 0) in the xy-plane. (a) A= (-1,57/4) (b) В %3D (2,…

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Q: x2 — бх + 9 dx V6x – x2

A: We have to find value of given Integral

Q: Q2) Solve the D.E xdy + (2y – xª + 3x)dx = 0

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Q: Express the integrand as a rational function and then evaluate the integral. x - 4 dx Jo x² – 5x + 6

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Q: The tangent line equation of x++y“=32 at point (2,-2) is... Persamaan garis singgung kurva x4+y*=32…

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Q: dx b. (x² + 1)(x² – 2x + 1) -

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

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Q: 6. ſsin 20 cos’ 0 de

A: According to our policies we are allowed to solve one question at a time so kindly repost other…

Q: Find Duf at P: f(x,y) = sin(8x – 5y); P (5,8)); i и

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Q: log;X + (Arcsin5x)³ b. w = + (Arcsin5x)³

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Q: 4. Evaluate dy and Ay for the function f at the indicated values: y = f(x) = x3 - 2x2 ; x = 1, dx =…

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Q: бх + 9 dx V6х — х2

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Q: the differential equation dy/dx + y/x = y^2 is solved via the substitution z=y^-1, the resulting…

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Q: 0/ using the test comparing the series Enas n?_2n-3

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Q: A thermometer is removed from hot water at 100° C into a room at 20° C. The temperature difference D…

A: Answer should be 20.254°C.