Evaluate the integral dx (6x + 9) ³¹ by making the appropriate substitution: U= f dx (6x + 9)³

Q: Consider the graph of f(x) to the right. 4 (a) Estimate S 4 [ f(x) dx = [ f(x) dx. 3 (c) If F(0) =…

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Q: If the sales tax 4% and the purchase price is $263, what is the amount of tax?

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Q: Which one of these expressions is not equivalent to the other two? Select the odd one out. A (В B a.…

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Q: . Зп 2п f (x) dx

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Q: 134 134 Suppose that a 17 and b₁ = 7. Compute the sum. 134 Σ(12a₁ + 17b;) i=1 Question Help: Message…

A: given  ∑i=1134ai=17∑ bi =7i=1134

Q: Evaluate the integral 28 fx³ (26 – 9) ²8 d. - = – 9. by making the substitution u= 26 + C

A: To solve the following problem of Integration

Q: roble ind the derivative of eacl 2t (a) g(x) = 2² ²4 dt fx² -2 t³+1

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Q: )=

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Q: Suppose that in a memory experiment the rate of memorizing is given by M'(t) = -0.002t² +0.7t, where…

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Q: Solve the two (the first one using integration by partial fraction and the second using integration…

A: Question 1,Given,            ∫3x3x+2+4x4+2x2dxTo find : Solve using partial fraction.

Q: 2. [xc xcos 3xdx

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Let v = (x³ cos z, 4 - 3x²y cos z − 3yz² sin x, z³ sin x) be the velocity field of a fluid. Compute…

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Q: L₂ (3x + 4) dx

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Q: Solve the FIRST ORDER LINEAR D.E. Linear in y y' = x³ - 2xy →→ when x = 1, y = 1

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Q: 1 The vector field F = is conservative. Find a potential function for F compute SF dr, where C is…

A: To find the given line integral.

Q: The integral ₁ |102² – 2³ – 24x| da MUST be evaluated by breaking it up into a sum of three…

A: The given integral is:∫-15 10x2-x3-24x dx

Q: 3. Find tan(t) dt using a u-substitution. (Hint: write tan(t) in terms of sint and cost.)

A: Given query is to find the integral.

Q: The equation y = log(x - 3) has a vertical asymptote at: X =

A: for vertical asymptote put  x-3=0

Q: Below is the graph of a function

A: From the given graph of the function. The value of function is defined independently at x=-3.

Q: For each of the labelled points on the graph, classify the corresponding point on the graph of y =…

A: Given Graph:-

Q: A dam having a width of 500 m is holding back a column of water of height H meters. The total force…

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Q: If f(3) = 5 and f'(x) ≥ 3 for 3 ≤ x ≤ 6, how small can f(6) possibly be? f(6) ≥

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Q: The angle between 0 and 2 in radians that is coterminal with the angle 41 6 Tin radians is

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Q: Consider the line y = ax, where a is a positive constant. What is the shortest distance between the…

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Q: 1-4 Find the local and absolute extreme values of the function on the given interval. 1. f(x)=x² -…

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Q: A particle moves along a line so that its velocity at time t is v(t) = t^2 − 4t + 3 measured in feet…

A: Solve the following

Q: x(t) = Convert the line given by the parametric equations y(t) z(t) Enter the symmetric equations in…

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Q: Suppose F = (5x - 5y)i + (x + 5y)j. Use Stokes' Theorem to make the following circulation…

A: We need to solve using Stokes' theorem.

Q: Question Determine the second derivative of the parametrically defined curve represented by the…

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Q: the total area of the region described. Do not count area beneath the x-axis as negative. bounded by…

A: Given query is to find the area under the curve.

Q: Write the composite function in the form f(g(x)). [Identify the inr y = tan(x5) (f(u), g(x)) =…

A: Solution: Given data, y = tan(x6)

Q: Where does the relative maximum value of f occur when f'(x) = x³ - x? (a). -1 (b). 0 (c). 1 (d). 2

A: concept first find x when f'( x ) = 0 if f''( x ) < 0 then maxima will occurs if f''( x ) > 0…

Q: 42. Given that "sin'x dx-, what is sin¹0 do?

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Q: Fuck with 48-in.-diameter wheels is traveling at 55 mi/h. Find the angular speed of the wheels in…

A: Given Diameter= 48in  So, Radius= 24in Speed= 55mi/h We know that 1mile=5280 feet and, 1feet=12in

Q: 15 A company's marginal cost function is c(x)=- where x is the number of units. Find the total cost…

A: NOTE: Refresh your page if you can't see any equations. . the given marginal cost function is

Q: Determine the second derivative of the parametrically defined curve represented by the equations…

A: dsintdt=costdcostdt=-sintdydx=dydtdxdt

Q: Find the area of the region bounded by the line y = 4x, the curve y = Area = √405 x and the x-axis.

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Q: Recall the equation for a circle with center (h, k) and radius r. At what point in the first…

A: The Solution is given below:

Q: /3 ㅠ ㅠ Given that 1 ≤ tan(x) ≤ √3 on [1,1], estimate tan(x) dx. 4' 3 < f/3³ tan(x) dx <

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Q: If y = tanh-¹ (cosz), show that d'y dy (tanz) + dr2 da = 0.

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Q: Evaluate the definite integral. 2 8xex2 dx   0

A: Given query is to find the integral

Q: If the supply and demand functions for a commodity are given by 6p -q = 60 and (p + 2)q = 4830…

A: given  6p-q=60.......1           (p+2)q=4830........2from equation  1,   q=6p-60  put in euqation 2

Q: Consider the following initial value problem, defined for t > 0: y² – 2y = f* (t- a. Find the…

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Q: Find the surface area of the part of the sphere x² + y² + z² = 9 that lies above the cone 2 = √x² +…

A: To find the surface area of the part of sphere lying above the cone.

Q: Find the value of the summation. Σ( – - (4² — 2) - :0 Question Help: Video Submit Question Message…

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Q: Solve the FIRST ORDER LINEAR D.E. Linear in y y' = x³ - 2xy →→ when x = 1, y = 1

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Q: X The quadric surfaces 2y = x² and 4z = x² - y² intersect in a curve. Parametrize this curve. (One…

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Q: [₂ (7t² + t + 1) dt -3

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Q: 2. Find each indefinite integral. Show all steps. of si a) sin²(6t) · cos5 (6t)dt

A: As per the Bartleby guidelines, answering only first question because the other questions are not…

Q: f(x) -x³-2x² -5x+2. Use calculus and show work. Use exact values only. Find all intervals of…

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