1. J x + 2)* dx A. (x + 2)6 + C О А о B о B. 6(x + 2)6 + C (x+2)6 6 + C

Q: Derive the following function 3. y=x√x 4. y = ³√x + ³√x

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Q: y = log₂ (1+x²)

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Q: ow that the differential form in the integral below is exact. Then evaluate the integral. 5,1) 20x…

A: We have to examine that the given differential form of intregal is exact or not .after that we have…

Q: Make Detailed solution TECHNIQUES OF INTEGRATION

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Q: test if (AB) =B¹A¹ A = 4 0 L3 1 2, B = 5. 4 -3 14 02

A: We  can check the matrix as below

Q: Basic Ca Derivatives Water is being poured at a rate of 5m^3/s into an inverted conical tank of…

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Q: 18) lim xcos X

A: limx→∞xcos1x

Q: Find the transition points. y = 3x² - 42x6 (Use symbolic notation and fractions where needed. Give…

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Q: SOLVE THE FOLLOWING NON-HOMOGENOUS LINEAR DIFFERENTIAL EQUATION: (D^2+4)y=4cot2x

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Q: iv) in complex number z³. (z)² = |z|².z

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Q: (-2xy) dx + (Sing-x)dy 3 7 dy + 3xy dx = x ēdx • (3x-2y + 2) dx + (3y-2x-2) dy zo (y + x² ) dx = xdy

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Q: y" - 3y" + 3y' - y = x - 4ex

A: Let's solve diffrential equation.

Q: Q1:Discussion a continuity of the function f(x,y) sin x (x, y) = (0,0) f(x, y) = x (x, y) = (0,0)…

A: To find whether given function is continuous at (0,0) or not.

Q: 5x +34 if x - 6 2 if x = -6 Select all statements below that you agree with. Note: You may be…

A: We

Q: a particle moves a long a straight line with equation motion s=t^2-3t+2. find the value of t at…

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Q: Let f(x) Calculate lim I-3- lim I→-3+ lim → 3 1 I +3 if x 3 - the following limits. Enter "DNE" if…

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Q: Find the integrals of the given in the picture

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Q: dx 20.5 x√4x²-49

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Q: Determine the magnitude of the vector sum V-V₁ + V₂ and the angle 8, which V makes with the positive…

A: We have to find the vector and angle.

Q: Consider the function f(x) = 2 - 7x², −4≤ x ≤ 1. - The absolute maximum value is and this occurs at…

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Q: An incomplete intermediate simplex table for an LPP is given below: -1 Cj 3 -2 0 0 CB Basis XB X₁ X₂…

A: We want to know the basic variables in the given question.

Q: 4. 2x³y = y (g2 + 3z2)

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Q: dy dx 11 1 + x-F y.x +5

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Q: y'= tan(x+y) - 1

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Q: dx 17. S√4e-2x-25

A: Given integral: ∫dx4e-2x-25.We need to evaluate the integral.

Q: Sketch the graph of each quadratic function and identify the vertex, direction of the opening of the…

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Q: Find the length of the arc of a circle of diameter 10meters subtended by a central angle of π/4…

A: Given:  diameter =10meters

Q: Question R is the region bounded by the functions f(x) = -and g(x)=-. Find the area A of R. Enter an…

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Q: y" + y = secx tanx

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Q: Question 13 x₁ - 3x3 = -2 Find the solution to the system of equation 3x₁+x₂-2x3=5₁ 2x₁+2x₂+x3=4 A)…

A: By Gauss Jordan elimination

Q: The position of an object moving along a line is given by the function s(t)= - 8t +72t. Find the…

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Q: 3. 4. If =(-12, 4, 8) the position vector of u is.............

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Q: Consider the angle shown below with an initial ray pointing in the 3-o'clock direction that measures…

A: topic - inverse trigonometric ratios

Q: What is the particular solution of the differential equation (x+y) dx + (x - y) dy = 0 when x = 0…

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Q: 1. f(x + 2) ³dx A. (x + 2) + C A О в O 2. fe²x+1dx A. ²x+1+C O A. B. O C. B. 6(x + 2) + C B. e2x+1+C…

A: Here is the solution:

Q: 6. Use the definition, determine whether the function g(x) = x = 2. Justify the conclusion. x² -…

A: The solution is given in the next step.

Q: = - - 6q² + 700q, where R(q) is in dollars and q Suppose a product's revenue function is given by…

A: The revenue function is given by , R(q) = -6q2+700q

Q: A tumor is injected with 0.820.82 grams of Iodine-125. After 1 day, the amount of Iodine-125 has…

A: I have appended the formula used in the solution part of the question

Q: Look for the volume of the solid produced by rotating the region enclosed by y = sin x, x = 0, y =1…

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Q: 3. Use Stokes' Theorem to evaluate $ F dr, where F = (0, 0, 2), (1, 0, 2), (1, 1, 2), and (0, 1, 2),…

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Q: test if (AB)¹ = B¹A¹ A = 4 1 0 2 L3 5. B = 14 0 2 - -3 1

A: To test if ABt=BtAt.A=410235, B=14-3021

Q: y = sec² x tan(2x)

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Q: Solve the differential equation: sin y (x+siny)dx+2x2cosydy=0

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Q: Question 29 In the quadratic equation Ax²+BX+C =0, describe the roots when B²-4AC is zero. (A) The…

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Q: (d) Find a vector function that represents the curve of intersection of the two surfaces: the xy…

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Q: could you elaborate how to get the missing limits

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Q: Find the determinant of A) -10 B) 0 C) 14 (D) 10 1 3 [42]

A: We can find the determinant as below

Q: Determine the angles made by the vector V-(-19)i + (-41) with the positive x- and y-axes. Write the…

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Q: 2 Find all local extreme values of f(x) x³ + 11x²56x + 30. = 3 The FIRST local extreme value, moving…

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Q: Evaluate x ds, where Cis с a. the straight line segment x = t, y = = 737₁1 3' b. the parabolic curve…

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