Calculate the Centroid of the region bounded by y= x³₁ X-2 and the x-axis. a) using vertical strip

Q: Question 5. Consider the parametric equation x = 27 cos³0 and y = 27 sin³ 0. (a) Find the Cartesian…

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Q: An oil-producing country can sell 7 million barrels of oil a day at a price of $90 per barrel. If…

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Q: Question Each answer choice below represents a relation by a set of ordered pairs. In which of the…

A: Given query is to find  which relationship is a function.

Q: 1. √x³ +5 x + 7dx

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Q: Evaluate each of the following integrals 1. S dx x√√x²+4

A: Please see the below picture for detailed solution.

Q: Question 3. Let f(x) = x - x² and g(x): =ax. Find the possible value(s) for a so that the area of…

A: Let fx=x-x2 and gx=ax. To find the possible values for 'a' so that the area of the region above g…

Q: f(sin (6x))³ dx

A: Evaluate  ∫(sin(6x))3dx

Q: What are the critical points for the plane curve defined by the equations ä(t) = sin(πt +), y(t) =…

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Q: 1. Find the integral of f(x) = √2x+3 over [-1,1], using Riemann sums with n=4 and the midpoint of…

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Q: The graph of the equation x² - 2x + y² +6y-6=0 is: a) a line through the point (2,-1) b) a parabola…

A: Given equation:- x2-2x+y2+6y-6=0

Q: A projectile is fired in the air from a height of 125 feet. Its velocity (in feet per second) t…

A: As we know that the estimate distance covered by projectile between time a to time b is  hL+R2…

Q: Find JJJ and 2 = y dV, where E is the solid bounded by the parabolic cylinder z = 15 - 4y Question…

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Q: Important: Show ALL your work.. Note: Restrictions for y = cos ¹(x) D: [-1,1] and R: [0, π]; y =…

A: Let's find inverse function of given trigonometric function.

Q: Find the equation of the parabola described below. Find the two points that define the latus rectum,…

A: To develop the equation of parabola.

Q: X4 none of these X (c) f'(x) does not exist.

A: f''(x) = 0  at sharp corner f'(x) does not exist for f'(x) = 0 , tangent line is horizontal

Q: Find the area of the shaded region. 30) f(x) = -x3 + x² + 16x g(x) = 4x -4 (-3,-12) -2 30- 20- 10…

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Q: Z = e¯(4x²+3y²) at point (0, 0, 1).

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Q: S Sinx-cosy-2=0 ; 16) A) -cot X B) -cot y d) -cscy cos X E) dy = ? ax c) Cos X Sin гу 2-CCSX siny

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Q: (6407 #2 p. 327) Let R denote the region bounded by the parabola y = r² - 3x and the line -4. Setup,…

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Q: Find 3x dA over the region R = {(x, y) | 0 ≤ x ≤ 4,0 ≤ y ≤ 3} by identifying it as the volume R of a…

A: Put value and solve

Q: 4. 0 t² sin 2t dt

A: Given query is to find the value of the integral.

Q: 6- Find the volume of a solid, use the Cylindrical Shells method, which involves rotating the region…

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Q: The United States population (in millions) is predicted to be  P(t) = 317e0.01t,  where t is the…

A: NOTE: Refresh your page if you can't see any equations. . the given equation is where P=population…

Q: Find the area of the region bounded by the curves x = 2y ^ 2 and x = 4 + y ^ 2 Be sure to justify…

A: We have to find the area enclosed by the curves using integration.

Q: (x) = 6x3+8x2−4x Step 2 of 2:  Evaluate f″(8), f″(−10), and f″(−4), if they exist. If they do not…

A: Given f(x) = 6x3+8x2−4x

Q: cost of maintaining a home generally increases as the home becomes older. Suppose that the…

A: Given query is to find the formula for total cost and the cost for 4 years.

Q: If the function f(x) has the graph pictured below, then: a) f(x) 0, whenever 5 f(5) e) f(6) > f(8)

A: Given: Graph of function f(x) -

Q: Let f(x) ƒ'(x) = ƒ'(3) = = √2x² + 4x + 3

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Q: True or False: Consider y 1 If I use logarithmic differentiation to find y, the formula for 1 in…

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Q: Evaluate the double integral for the function f(x, y) and the given region R. y f(x, y) = X -; R is…

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Q: Find the arc length of the curve x = 1² +1, y = 4t³ +3 on [0, 2].

A: given; x=t2+1, y=4t3+3 on [0,2].

Q: 11. Find the arc length of the polar curve r = 5 cos 0; 0≤0 ≤ 2.

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Q: 4) To what new value should f(1) be changed to remove the discontinuity? √x² + 1₁ Solve the problem.…

A: The Answer is in step 2.

Q: m(x)=ln(4-x^2) Find domain

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Q: A bowl of soup at 80° C sits in a 20° C room and cools to 74° C after 1 minute. Using the model for…

A: T( t ) = ( T0 - Ts)ekt + Tswhere T0 = initial temperature Ts = surrounding temperature T( t ) =…

Q: Consider the indefinite integral Ա 6x fetar +3 A. This can be transformed into a basic integral by…

A: As per our guideline we can answer only one question if multiple question are posted. please repost…

Q: Find the sum. -15 +45 - 135 + 1215

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Q: Consider the following series. n = 1 Evaluate the following limit where an = R = x n42n I = an+1 lim…

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Q: The graph of f(x) is shown. वि | 45 6 7 X fl=o at x = ? DIY'S_

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Q: d) log, (7-3x)=3 e) log, x-log, x+1=-2 f) log, (x+1)+log, (5x-11)=2

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Q: B) 롭 A) 5x tanx O 45 A) 46 11) y = x². Tanx > dy = ? Ta ン de 2 secxx D) 5x4 tanx D) Z B) X5 sec X 5…

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Q: - 1 The function f(x) = 6x + 2x has one local minimum and one local maximum. This function has a…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Evaluate the integral. [² v³ + 3v³ dv 3V6 V4

A: Evaluate the integral  ∫12v3+3v6v4dv

Q: Covert the rectangular equation x² + y² + 4y = 0 to polar form. Graph it and indicate orientation.

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Q: Evaluate ff (¹-2y) d.A where D = {(x, y) = R²| -1 ≤ x ≤ 2 and − x² ≤ y ≤ x²}. D

A: Let's solve given double integral.

Q: 10. Find a formula for the function f(x), given the information that f is continuous and th f(t) +…

A: Given that f is continuous and 4x+∫1xfttdt=sin x. We have to find the formula for fx.

Q: 7. Convert from Polar to a Rectangular Equation: r → f(x). πT 4 0

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Q: 15) y = sec ²(x); dy = ? Jx B) 2 secx. tanx c) 2 sec²³x. Tanx E) TanX A) 2 SecX D) Sec²x. Tan²x

A: Given query is to find the derivative.

Q: -S₁ Let g(x) = X = f(t) dt, where f is the function whose graph is shown. X = y 3 X = 2 1 -1 -2 f(t)…

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Q: Find the most general antiderivative. 23) (6x3+3x+5) dx

A: 23) The given integration is: ∫6x3+3x+5dx  To find the most general antiderivative.