a) [*. : Determine whether the series 1 Σ (2n – 1)4 n =1 is convergent or divergent.

Q: Solving by variation of parameters y" – 3y' = x the general solution is: None of them c_1+c_2…

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Q: Solving by variation of parameters y"-3y' x the general solution is: O None of them O c_1+c_2…

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Q: dy Suppose that x and y are related by the equation 2x - y = 1 and use implicit differentiation to…

A: The given equation 2x2-y2=1

Q: Use the Divergence Theorem to find the flux of F(x, y, z) = (x³ – e")i+ (y³ + sin z)j+ (2³ – æy)k 3…

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Q: 1 is convergent or 1) Use the Integral Test to determine whether the series divergent. ' (3n– 1)?…

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Q: dy Differentiate implicitly to find dx e**y = 8x + 3y +8 Evaluate the derivative of the each side of…

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Q: 21. Write the definite integral that repre formed by y = x² + 2x + 1 and y=2x+5. Do:

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Q: P6: x2 dx x² – -2

A: We will use substitution method to solve the integral.

Q: In Exercises 5 through 18, sketch the given region R and then find its area. 5. R is the region…

A: The region bounded by the lines y=x, y=-x and x=1

Q: Find the volume of the solid generated by revolving the area bounded by the given curves about the…

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Q: The volume of the solid region, in the first octant, that lies below below the surface, z = above…

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Q: Determine the values of a, b, and c for Ax) = ax + bx+c so that f") = 6x- 3 and A2) = -1.

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Q: Find the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the…

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Q: Find the constant variation for each combined variation. Then find the value of the unknown…

A: Note: In the given expression there is no n variable which means it's a typing error and b…

Q: cos(xy) + secy = 5

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Q: 3.) S(1 – sin?xcos²x)²dx

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Q: In Exercises 1 through 4, find the area of the shaded region. 1. y= Vx

A: Area

Q: 8. Sketch a graph (different for each) that satisfies the given conditions: a) f'(x) 0 if x -2 (x…

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Q: The technique used to prove that x4 x3 - 5x + 5V5 tan¬1 3 x² + 5 dx + C - - is Long (Euclidean)…

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Q: 2. A bushfire spreads with burning area according to the following function, A(t) = 160t – 40t2 (in…

A: Let's find.

Q: P1:

A: Solving

Q: (b) Find the largest possible domain A, where all elements of A are non-negative and f: A - R, f(x)…

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Q: g. -3+i

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Q: 17. y csc(5x)

A: Differentiation

Q: Find the volume of the solid generated by revolving the area bounded by the given curves about the…

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the…

Q: Differentiate x + y = e2x+2y A. 1 – 2e2x+2y 1+ 2e2x+2y y' В. -1 + 2e²x+2y 1 – 2e2x+2y y' | С. ||

A: Given query is to find the derivative of the expression.

Q: Without evaluating the constants, the partial fraction decomposition for 5x² – 3 f(x) (x³ – 4x²)(x²…

A: We have to solve partial fraction.

Q: For some constant a, the following improper integral | (x2 – 1)e2xdx converges to converges to e2a…

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Q: P1: 2 cos-1 x dx 1xo

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Q: In(x®y®) = x² +y³

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Q: 5. (1 + e*/") + e*/ dy

A: Solution

Q: 25 Type the correct answer in each box. 37 The vector \ / Is reflected across the line Y = 1 and…

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Q: Find the volume of the solid generated by revolving the area bounded by the given curves about the…

A: Explanation of the answer is as follows

Q: dy 3) y = u5 and u = 3x – 1; 2 Ans: 2 = 15(3x – 1)* %3D dx dx

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Q: Find the equation of the tangent line at the given point on the curve. 2y - Vx = 4. (16,2) y =U

A: We need to find equation of tangent line.

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

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Q: Using appropriate trigonometric substitution, dx xV4 – x² is transformed to S sin 0 d0 sec 0 d0 2 2…

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Q: 6. sech(4x) tan (4x) dx

A: We need to evaluate integral.

Q: Q1/ Integrate the following functions 1. ſ csc(5x) dx 2. dx 3. ſ cos (x) dx 4. S sin (x) dx 5.…

A: As per our guidelines we are supposed to answer?️ only 3 question. Kindly repost other question as…

Q: 3. (1 + e**) + e (1-- 0 Ans. x + ye*/y = C

A: To differentiate.

Q: Let z= y- 4a, a u'v and y-v- 3u. Compute On kum)-(1,1) -

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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: If f(x) dr = 6 ,what is the value of f(5 – 1) dr

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Q: Given: R. 23 30° A R= 04 v3 02 v3 B.

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Q: Simplify the complex number. Express your answer in a+ bi form and include each step necessary in…

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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: EQUATIONS DEPENDENT VARIABLE 5y (y/) = v sin e [Sclect ] - yy" + 2x tan a [ Select ] 3. [ Sclect] 4e…

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Q: Without evaluating the constants, the partial fraction decomposition for 5x² – 3 f(x) (х3 — 4x)(x2 —…

A: Finding the partial fraction decomposition without evaluating the value of constants

Q: |y = xx² – 4)

A: This is a problem of area calculation by region given. Based on the general formula and concepts we…