Consider the following function: + 3x3 + 3x2 – 7x – 6 y x - 3 Find discontinuities and Maxima for the given function. Show your work to explain. 3.

Q: 2. Jx2Vx3 – 27 dx -

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: 3. Sin x dx 3- COS

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Q: 2. A dosage of Q units of a certain drug is administered to an individual every four hours. Assume…

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Q: Find the polar equation of a line parallel to the line r cos (0 = 1 and lying at a distance d = 5…

A: The given line is: rcosθ-π5=1. A line parallel to it, will be of the form: rcosθ-π5=k

Q: 100e0.05z thousands of Over the next 5 years, a company projects its continuous flow of revenue to…

A: profit = revenue - cost here  revenue for next 5 year R(x) = 100e0.05x R(5) = 100e0.05(5) R(5) =…

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A: The domain of a vector valued function is the intersection of the domains of its components.

Q: Because of an insufficient oxygen supply, the trout population in a lake is dying. The population's…

A: The population's rate of change can be modeled bydpdt=-130 e-t30, where t is the time in days.

Q: What is the slope of the line 0 = (Use decimal notation. Give your answer to three decimal places.)…

A: Slope of a line θ=a is given by m= tan(θ)=tan(a)

Q: If the radius of an expanding circle is increasing half as quickly as the area is increasing, the…

A: Topic = Algebra The circumference at that moment is 2.

Q: (3) Find the domain of f(x) = log(6 + x – x²) (A) (-∞, 3) (B) (-2, 3) (C) (3, ∞) (D) (-∞, -2) U (3,…

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Q: The formulas below are the cost and revenue functions for a company that manufactures and sells…

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Q: 3 2 3. Vxydydx = Vxdx Vydy Select one: O True O False

A: We will evaluate the Integral of left hand side and right hand side then we will compare them .

Q: 4. S Vä(x² + 2) dx 5. S(-3 Vã – 6x v7) dx 6. (9x*-6x²+7x²-5x+15 dx 3x

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Q: f (x) = x1.5 + 2x. We have Find the tangent line L(x) for f(x) near x = 4 and use the tangent line…

A: Consider a function f that is differentiable at a pointx=a.Recall that the tangent line to the graph…

Q: 1 1) [ (tan³ 0 + tan³ 0) e-tan º d0== 2 (-1)" n! (In x)" dx= (m + 1)"+1 ·

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

Q: 2(メy)=16-x-, R: %3D and y=4X- 2

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Q: Express the polar coordinates (-2, -7) as Cartesian coordinates. (2, 0) (0, -2) O (0, 2)

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Q: 5. sin (2x) dx

A: To evaluate: ∫sin22xdx ⇒I=∫sin22xdx We know that 1-cos2x = 2sin2x

Q: I. Evaluate /4x2 + 4x + 5 dx

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Q: Given the function f(x) =2+3x - x³. Determine the intervals where f is increasing or decreasing,…

A: As per the guidelines I am supposed to the first question among multiple questions. So I am solving…

Q: Compute the derivative of the given function. f (x) 10x-1/4 cos e + 7 sin a %3D -

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Q: dx Using trigonometric substitution S = sin(0) + C, express the answer in terms of x. 3 (x²+x+1)7

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Q: 7) A spherical balloon is to be deflated so that its radius decreases at a constant rate of 15…

A: Given: A spherical balloon is to deflated so that its radius decreases at a constant rate of 15…

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

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Q: 10) For y=v+8, use the differential dy to approximate Ay when x changes from r=1 to x=0,97

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Q: Complete the table shown to the right for the​ half-life of a certain radioactive substance. ​…

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Q: If f'(x) > 0 and f" (x) < 0, then which of the following is true? o f(x) is decreasing and concave…

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Q: 12-11= Sin(z)

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Q: 1. Find (sin?) A 2 sin z cos a x* B 2 sin r" coS T* 1²-1 1. C 2 sin r? cos T² r² Inr D 2 sin r*…

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Q: – (x²- 1) dx using P (1 -;*)-^;* / * m in terms of A?

A: Use simple integration formula.

Q: Evaluate the iterated integral: e dydx

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Q: Point U is on the curve y = ln(x). Let O be the line joining U to the origin. Find the coordinates…

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Q: 12. Find the gradient vector field, Vf, of f(x,y)=x?y+y°.

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Q: 7. S 8x³ e** dx il ww be 7dx 8. J sec x esinx bne

A: I am attaching image so that you understand each and every step.

Q: (a) How many integers from 200 to 2000 inclusive are multiples of 4?  (b) How many integers from…

A: As per our guidelines we are supposed to answer only three sub parts of the question. So I am…

Q: 4-x III. Evaluate dx. V16-x2

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Q: Sketch and determine the opening, vertex and focus of the parabola with an equation of y2 - 8x + 16…

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Q: 1. ſ ev¤dx

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Q2: Determined the component of the vectors at each point…

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Q: f(x, y)dydx= 0. f(x, y)dxdy. 0. Select one: O True O False

A: Given; ∫01∫0xfx,ydydx=∫01∫y1fx,ydxdy   Let, I=∫01∫0xfx,ydydx The region bounded by the lines, y=0,…

Q: Use implicit differentiation to find dydx 4x^2y+9xy^2=6

A: Given that,       4x2y+9xy2=6

Q: Find the area enclosed by the lemniscate with equation r = 289 cos(20). Choose your limits of…

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Q: Question 4 of 10 Find the volume of the solid that results when the shaded region is revolved about…

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Q: Find the derivative of the function. 5 + 6x - 4/x y% =

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Q: Given: dx Using trigonometric substitution, solve for the integral form in terms of 0. 0 d® B sin² 0…

A: Given: ∫x2-9x3dx Let I=∫x2-9x3dx   To solve this integral we need to do the trigonometric…

Q: Continuity of a function on an interval: Show your solution, graph (use GeoGebra) and identify if it…

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Q: 5. Let ƒ be a function satisfying the following properties: lim f(r) = 2 continuous on R \ {0} •…

A: a. Here, we have  limx→0-fx=-∞, which means the function has a vertical asymptote x=0; limx→+∞fx=0…

Q: What are the domain and range of functions? a) f(x) = cos^(-1) (In(tan x)) b) y= In( (x+1)/(x^(3)+1)…

A: A)f(x)=cos-1lntan xdomain of inverse of the function -1,1.-1≤lntan x≤11e≤tan…

Q: Find d3y dx3 of y = x³e-x

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Q: x+V x+V X lim X- 00 V> V x+1 х+1

A: To evaluate: limx→∞x+x+xx+1