Find the uv - ∫ vdu form of  ∫ √x ln(2x) dx

Q: d²y -=6- 9x and which passes through the points (0, – 1) and (2, 3)- dx2 Find the equation of the…

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Q: 7 -4 Consider the surface x'z* + sin(y zª) + 9 = 0. Use implicit differentiation to find the…

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Q: A stone is dropped from the upper observation deck of a tower, 800 m above the ground. (Assume g =…

A: According to bartleby guidelines I can only answer the first three sub-questions. Please repost the…

Q: x²+4x-5 dx = Using Trigonometric Substitution : f(e)de find the new limits of integration. x+2 a = 6…

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Q: The velocity of an object is given by the following function defined on a specified interval.…

A: Given  v = 1(2t+2)m/s   for 0≤t≤8 ; n =4 Displacement = ∫081(2t+2)dx Number of subinterval = 4  h =…

Q: Evaluate the definite integral. 1 5x +6dx

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Q: Give the parametric and symmetric equations of the line that passes through the point (4, -3, 5) and…

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Q: Find f. f"(x) = 6 + 6x + 24x2, f(0) = 2, f(1) = 12 f(x) =

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Q: g(b) Use the Substitution Formula, f(g(x)) g'(x) dx = | f(u) du where g(x) =u, to evaluate the…

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Q: 2x3- x² + x + 2 D dx X +1 C Consider find A+B+C+D x4 + x3 y3 4 O 2 O 5

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Q: dx Using Trigonometric Substitution J- 3 sin e+C express the answer in terms of x. (x² + x + 1) 2 4x…

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Q: By about how much will g(x,y,z) = x + x cos z -y sin z + y change if the point P(x,y,z) moves from…

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Q: Find the area of this parallelogram. Be sure to include the correct unit in your answer. cm 8 cm 10…

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Q: sec(6z)tan(6x)dx, u = 6x

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Q: | 2x+11 dx = Consider 1 dx evaluate 3. x² + x - 6 dx- X+3 X- 2 X+3 X-2 x-2 In + C X+3 |(x-2)3 In + C…

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Q: Compute the given integral. Jac dx +C

A: Solve the integration

Q: 7. dx = y(1+ y²)sec²x dy

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Q: 2x+ 11 3 3 1 dx - X +3 Consider Idx - evaluate dx = x2 + x- 6 X- 2 X-2 x+3 x+3 In +C (x- 2)3 X-2 In…

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Q: TRUE OR FALSE. Consider the parametric equations of a cycloid given below. Its length of arc is…

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Q: За — 1 (x – 2)(x + 5)

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Q: 3) y = 2 - 3y; y'

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Q: 3r + cos r 2. Use Squeeze Theorem to evaluate_ lim 1-00 V1 +r2 - 5x

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Q: Sam) sin |cos dx O32 coss 35 -5cos? + C 32 cos 32 cos + C 4 7 5 32 cos 35 5sin? +2+ C O 32 7( x), 32…

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Q: Find the arc length of the parametric curve. x = e', y = e, z = v2t; 0<t < 6 V2t; 0<t<6 x = L =

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Q: 1. Given: S(x) = {10ze", | 2r³ + 3x² – 12x, r>0' I < 0 a. Find all the critical numbers of f. b.…

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Q: The result of x3/x² – 1 dx is F(b) – F(a) where F(a) and F(b) are both real numbers. What is the…

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Q: What will you factor out from the integrand of ] csc°(3x)dx so that you can transform it to its…

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Q: Consider the following. (If an answer does not exist, enter DNE.) f(x) = x°e=x (a) Find the…

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Q: x² + x +2 Evaluate x2 - 1 x+1 +C (x- 1)2 (x- 1)2 In- + C x+1 x+1 X+ In- +C (x-1)2 (x- 1)2 x + In- X…

A: Given problem:-

Q: dx + (1 – x²)cot y dy = 0

A: Given problem :- dx + (1-x2 )cot(y) dy = 0 Find the general solution of given differential equation

Q: g(t) = 2t3 + 3t² – 12t %3D Find the intervals where g(t) is increasing and the intervals where g(t)…

A: Given: gt=2t3+3t2-12t   (a). To calculate the interval for increasing function, g't&gt;0

Q: Find the derivative of the following function 8. y=(x+3)(2x² – 3x + 1)

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

Q: Use implicit differentiation to determine dy/dx given the equation x^4+y^4=−3x dy/dx=

A: Implicit differentiation is the procedure of differentiating an implicit equation with respect to…

Q: Using Integration By Parts, 2x² e3" dx = u v - |2x2 e3" dx = u v-, -Svau Find u v- Sv du · x3 e 3 dx…

A: Integral

Q: Evaluate csc°(3x)dx cot*(3x) cot (3x) cot(3x) + C 12 2 cot°(3x)_ 2cot³(3x)_ cot (3x) +C 15 9 O…

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Q: 1. 4x dy – y dx = x²dy %3D

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Q: 5xy = 4x²z – 3yz²; xz and xy.

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Q: What change of variables is suggested by an integral containing * Vx² – 4? O a cosø O none of the…

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Q: Select all that apply: □ (5. 똥) □ (5. 플) O (5. -*) (-5, ) □ (-5. 똥) O (-5, -)

A: Polar

Q: Using Integration By Parts, x3 x2 +4 dx = uv- - Sv du

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Q: 7. Use the Method of Lagrange Multiplier to find the critical points of the function f(x,y, z) = 2x²…

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Q: 1 -x dx = u v- Sx sec xtan Svau Using Integration By Parts, Find UV- X sec ec- x dx 1 1. x sec 1.…

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Q: sin(3x)cos(3x) sin(2x) 의[cos(2x)-1]+ +C 12 8 4

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Q: Write a in the form a = a- T+ anN at the given value of t without finding T and N. r(t) = (t + 5)i +…

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Q: 4. x2(y + 1)dx + y² (x – 1)dy = 0

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Q: Consider the following parametric equations. a = t + 5t y = -3t2 + 1 - 2 <t<2 a) Find four unique…

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Q: Use the limit definition to calculate the derivative at x = a of the linear function f(x) = 31.…

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Q: sin dx 32 cosS 35 4 Ssin +2 +c cos () • 32 cos + C 32 -cos 32 cos + C 7 4 32 cos 35 즐)-Scos()+기+C

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Q: Given the equation below, find dy/dx* 6x^3+2x^30 y+y^4= 9 dy/dx= Now, find the equation of the…

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Q: 2х n evaluating J cos²(2x) Tx using integration by parts, identify the portion of the integrand to…

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