The function √x² + 2x is equal to (x + 1)² + 1 Option 1 √(x + 1)² - 1 Option 2

Q: 2) fff (x² + y² + z²)ž dv D is the unit ball. Integrate using spherical coordinates.

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Q: Consider the following. '6 dt Jo 36 + t² Let t = 6 tan(0) and determine the following.

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Q: Question 9 This triple integral represents the volume of a cylinder. O True O False V = f²" f² fr dz…

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Q: If u and are non-zero vectors and Proj=0, then which one of the following must be true? O The two…

A: Two vectors u and v are orthogonal if u.v =0 .

Q: Find the solution of the given initial value problem. 9 cos t y' y = y(π) = 0, t-9, t> 0 y(t) = =

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Q: conver the Following differential equation into a Perfect equation and then find 1+5 general…

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Q: (b) the volume of the solid B that lies above the cone z = 3r² + 3y² and below the sphere x² + y² +…

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Q: 16+19+22+25+...Which one of the following is the sum of the first 90 terms of this series? a)16,701…

A: Concept: Arithmetic Progression: Arithmetic Progression (AP) is a numerical series in which the…

Q: The cost C of a product is a function of the quantity x of the product: C'(x) = x² - 3000x+50 .Which…

A: Please refer to the image below

Q: Given: Let B (x, y, z) = (xz, yz, 3x² - z²). 1. The task is to identify the work done by B on a…

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Q: Solve the following using Cramer's rule: (Show your solution) 6.r y = 0 2x 4y 1 { (c)

A: In this question, we will find the solution of the given system of equations using Cramer's rule.

Q: Find the general Solution of the complement of the following differential equation y"-y" - y'- 2y =…

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Q: Find a differential equation that corresponds to the given direction field. Consider differential…

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Q: Solve the given differential equation. All solutions should be found. dy e5x+10y = e dx NOTE: Use c…

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Q: Find the general Solution of the complement OF the following differential equation y"-7y) -6y=013…

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Q: Solve it neatly, correctly, and comprehensively.  2. An open box is made from a thin sheet of…

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Q: || B a A b Note: Triangle may not be drawn to scale. Suppose a = 4 and A = 5 degrees. Find: C = B =…

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Q: The position of a hummingbird flying along a straight line int seconds is given by s(t)- 6t³ - 13t…

A: Note: As per our guidelines we can solve only one question with maximum 3 subparts.  Here is your…

Q: Question 2 Use Euler's method with step length h = 0.5 and determine an approximate value for y(3)…

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Q: Find the area of the region bounded by y = x³ - 8 the x-axis and the y axis. 1/3 3 1/9 9

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Q: Q1: A- Write the following algebraic expression in its simplest form: 5x+3x²+5x+6 X *+3 25x²-9

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Q: convert the Following differential equation into a perfect equation and then Find its general…

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Q: The region trapped between y = 4x - 2x² and y 4x-2x² - 2x² - ³ is shown below. a) Set up the…

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Q: Calculate the area contained between the curve y = cos x, -<x<, and the line y = 1. T 3. √3 Option 1…

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Q: Which point is on the line parametrized by the following? O (-1, 2, 3) O (3, 2, 0) O (0, 0, 0) O (1,…

A: This question can be solved using the equation of line in three dimensional space.

Q: dt 1³ +1²-2t

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Q: Question 7 Determine the x - coordinate of the local ma Or - 18 O r = 16 O = 1.0 None of the choices…

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Q: what substitution formula is used here ?

A: the substitution formula used here is-

Q: Evaluate [(x +2y) ds, where C is the curve defined by y = √√4 – æ², for x = [0, 1

A: Here ds is arc length.

Q: Let 1 5-1 A = 0 1 0 and P = 0 0 0 15-2 05 Given that P diagonalizes A, then compute A¹¹. i A" i i

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Q: convert the following differential equation into a Perfect equation and then Find its general…

A: To find the solution of the given differential equation.

Q: Test for convergence/divergence, State the theorems used.

A: As per guidelines, I can answer only one question. Since questions are not interlink with each…

Q: Kindly answer the question and provide a clear and correct solution. If I still get wrong…

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Q: 2. Determine whether the vectors a and b are parallel, orthogonal or neither for the given a and b.…

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Q: Find the indefinite integral. √4x In (7x) dx √4x In (7x) dx =

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Q: conver the Following differential equation ihto a 1+S Perfect equation and then find general…

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Q: Suppose that f(x, y) = 6, and D = {(x, y) | x² + y² ≤ 4}. I Then the double integral of f(x, y) over…

A: Explanation of the answer is as follows

Q: da d²y +6- dx dx² + 11 dx+6y = ex + cosx бу

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Q: 5.) Simplify. Write "undefined" for expressions that are undefined. -2 -3 THE -6 -3 M

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Q: Set up the triple integral that will give the following: : 0≤ x ≤ 1,0 ≤ y ≤ (a) the volume of R…

A: Given

Q: 5) Approximate x²-1|dx with a right-endpoint Riemann sum using four equal subintervals.

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

Q: Find the angle that maximizes the area of an isosceles triangle with legs of length / = 10. 1 (Use…

A: The given isosceles triangle with legs of length l=10

Q: Evaluate the integral. 37 (x - 1)(x² + +36) dx

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Q: A 29-ft ladder leans against a building so that the angle between the ground and the ladder is 77°.…

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Q: Evaluate the double integral: L y 1/3 27 +1 dx dy.

A: Given: I=∫08∫y132yx7+1dxdy The region bounded by the curves x=y13, x=2, y=0 &amp; y=8 is as shown…

Q: 3. Output, P, is produced using two inputs, K and L, according to P= f(K, L) = 2 + KL-2 5 1) Find…

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Q: Question 17 The integral represents which quantity? the total mass with density F the length of the…

A: We need to choose correct option.

Q: S eln (1-t) 1-t - dt ed to you in any form

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Q: Let f(x) = 3 cos 2x + sin² x. a) b) Show that f'(x) = -5 sin 2x. Зл In the interval <x< one normal…

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