Which of the following is/are true about critical point? 1. Critical point is an interior point in the domain of a function. II. Critical point evaluates a derivative function to either zero or undefined. III. Critical point always evaluates a derivative function to zero. O III only O I, II, and III O II only O I and II only

Q: What is the volume in cubic units of the solid formed when the region bounded by y = 2x + 1, x-axis,…

A: Given :y=2x + 1, x- axis, x=1, and x=2 is revolved about y=0.Formula :Volume in cubic = π∫y2 dy

Q: Evaluate the limit: lim (x - ln x)* x→0+

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Q: The function f(t) = 1200 represents the rate of flow of money in dollars per year. Assume a 5-year…

A: We are given  f(t) = 1200 as the rate of flow of money in dollars per year.  Interest rate= 4%…

Q: 1.) +y=e+ dx=3e-t 2. .) d- given: x(0) = 0, y(0) = 1 dy-x=0 d+y=1 given a z (0) = -1, y(0) = 1.

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Q: A ship leaves port travelling North West at 12 knots. A second ship leaves the same port 3 hours…

A: Given: Let first ship be Ship A and second ship be Ship B. Speed of ship A = 12 knots =12 nautical…

Q: Perform the integration. π ¹3 sec³ x tan x dx √2 + secx 0

A: A detailed solution is given below.

Q: A small business determined that the price-demand and cost functions for producing and selling x…

A: We have to find the marginal profit.

Q: (³² sin æcosx tan³ xcot³ x sec xcscx dx

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Q: 9. S 1 x√64+9x² =dx

A: The given integral,      ∫1x64+9x2dx

Q: Evaluate the following integrals. 1. S 1- coth² (log2 x) x cosh(log₂ x) -dx π 3 (sin³ x) VT…

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Q: 0 sinx + 2cosx dx

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Q: Answer

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Q: ∙1 Ꮭ ᏝᎽ 1-x-y z dz dy dx

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Q: Find by integration the area of the region bounded by the curves y=x2 and y=−x2+4x. Include a quick…

A: Use area under curve

Q: Evaluate (2x + 3e* - 4) dx a. 12.43 b. 13.45 c. 14.24 d. 15.23 e. NONE OF THE ABOVE A О в Oc O D DE

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Q: T Evaluate sec²20d0 a. 00.33 b. 0.5 c. 0.67 d. 0.25 e. NONE OF THE ABOVE O A OB O O D OE

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Q: Kindly write this, I cant understand by text

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Q: . A family wants to build a fence in their backyard for their dogs, but the cost for the previous…

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Q: 10. The sale price of a book after a 25% discount is $40. What was its original price? $46.67 O…

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Q: What is the integral of (2 sec^2x - sinx) dx? * O 2 cosx+tanx + C 2 tanx + sinx + C 2 tanx + cosx+C…

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Q: Find the standard equation of a parabola if its latus rectum measures 9 units, axis at y = 3, p is…

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Q: Question 1 Express the Laplace Transform of the following functions: (a) f(t) = 2t sin(3t) - 3te5t…

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Q: (Requires a short but nontrivial geometric Let ABC be a triangle argument.). with angles…

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Q: The following differential equation is a Bernoulli equation: 2 dy + 27/ y3 where y = f(t) dt By…

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Q: In Dollars Sales Monthly 9000 8000 7000 6000 5000 4000 3000 2000 1000 0 January Williams Custom…

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Q: II. Evaluate the following integrals. 2. (sin³x)√1 + cos x dx KIN k 플

A: Here is the solution:

Q: 4.) Give the general solution of the following ODE: x" + 3x - 4x = 0.

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Q: The curve has an equation of r = 4sin0. Compute the area bounded b the curve. 12.57 11.18 16.89 O

A: Given :r=4sinθ

Q: Determine the following integrals: 1.1.1 ļ (cos2x+sin x) dx x+1 .1.2 1₁ JF dx x + 2x+1 2 1.1.3 | ₁…

A: ∫ sin(ax) dx =-cos(ax)a+C       and     ∫cos(ax) dx =sin(ax)a+C ∫xn dx = xn+1n+1+C Note : As per our…

Q: Electric usage over the course of a day varies. The graph shown is of electricity costs per hour.…

A: Use average concept

Q: What is the center of gravity of the solid formed when the plane region bounded by y^2 = 4x in the…

A: First we sketch the given region using a graphing calculator as shown below:   The shaded region…

Q: approaching

A: Please refer to the image below

Q: A particle is moving along a horizontal line such that its velocity in m/s is given by v(t) = 2t²…

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Q: If F(x) a. F'(1) L √4t - t² dt, evaluate the following: x² b. F(2), by interpreting F(2) as an area

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Q: Find the Integrating Factor (I.F) of the following linear differential equation:

A: Please refer to the image below

Q: Use local linear approximation to estimate In (√0.99)

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Q: Use the linear approximation to estimate In (√0.99).

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Q: The equation of a tangent line at a point (x₁, f (x₁)) where limh→0 f(x₁+h)-f(x₁) h = +∞ is x = x1.…

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Q: 5x² S -dx 2. ex

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Q: ab c Pq r U V W a. det (2B¹) where B = 4u 2a 4v 2b -q 4w 2c <-r 2p -a+u 3u b. det (20¹) where C =…

A: Given problem:-

Q: II. Evaluate the following integrals. 3. ²|2 - 2º| da

A: Given: ∫03|2-2x|dx

Q: What is the volume in cubic units of the solid formed when the region bounded by y = x^3, y- axis,…

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Q: The joint cost (in dollars) for two products is given by C(x, y) = 24 + x² + 3y + 2xy where x…

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Q: A company manufactures two products, A and B. If x is the number of thousands of units of A and y is…

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Q: a. A cylindrical container that is open at the top is to be made from two kinds of material. The…

A: note : as per our company guidelines , we support one question in one request (because these two…

Q: I. Evaluate the following limits x-tanx 1. lim x-sinx x-0

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Q: Find the area bounded by the curve x = y² + 2y and the line x = 3.

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Q: Evaluate the following limits 1. lim (2x+x) x → +00 e2x +In x

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Q: PLEASE SHOW COMPLETE SOLUTION.   Find the area bounded by the curve x = y^2 + 2y and the line x =…

A: Area under curve

Q: Find fx(x,y,z), fy(x,y,z), f₂(x,y,z), and fyx (x,y,z) for the following. 3 f(x,y,z) = 4x³ + 2xy -…

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