Use the Rational Zero Test to list the possible rational zeros of f. Verify that the a f(x)=x²³ + 2x²-x-2 X= y 8

Q: Find the centroid (x, y) of the triangle with vertices at (0, 0), (3, 0), and (0, 1). x = y=

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

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer…

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Q: Evaluate the line integral along the given path. √(x² + y² +2²) ds C: r(t) = sin(t)i + cos(t)j + 3k…

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Q: A quadratic function f is given. f(x) = x² + 2x - 1 (a) Express fin standard form. f(x) = (b) Sketch…

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Q: Determine whether the Rolle's Theorem applies to the function on the given closed interval. If so,…

A: Given functons:- Gx=-2x24x+8 gx=x-323 kx=3x2+30x+3

Q: Solve for x: -X (f) 6*+¹ - 6-* = 5

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Q: Suppose that the radius r and volume V = πr3 of a sphere are differentiable functions of t. Write an…

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Q: 3. A tank contains 400 liters of brine holding 300 kg of salt in solution. Water containing 125 g of…

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Q: . Use the rule of differentiation of the scalar product, to evaluate (u v) for the following vector…

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Q: 5. y" - 2y + y = 14x³/2ex

A: Note:- I am doing question number 5 as you mentioning.

Q: concentration of a drug t hours after being injected is given by C(t)= 0.3t / t2 +68 Find the time…

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Q: Find values of m and b such that: f(x)=x2+1          if x=1 is differentiable.

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Q: Find the surface area of the part of the plane 5x + 3y + z = 2 that lies inside the cylinder x² + y²…

A: Plane: 5x+3y+z=2 Cylinder: x2+y2=4

Q: C Suppose a company's revenue function is given by R(q) = q³ + 280q² and its cost function is given…

A: Part A) Write the profit function Pq as the given cost function Cq=290+12q subtracted from the given…

Q: Let f(x) = = f'(x) = = /3x² + 3x + 2 2

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Q: By changing to polar coordinates, evaluate the integral where D is the disk x² + y² ≤ 25. Answer =…

A: Given data÷ ∫∫Dx2+y23/2dxdy Where D is the disk x2+y2≤25   Now main part of conversion from…

Q: a. Squares with sides of length x are cut out of each corner of a rectangular piece of cardboard…

A: a) Given:     The dimension of the cardboard is given as:      Length=41 ft      Width=22 ft Assume…

Q: - Evaluate the double integral (3x − 3) dA, where R is the region in the first quadrant enclosed by…

A: Region bounded by the curves is shown below÷

Q: Consider g(y) = - 12y(-7- y) Determine the intervals on which g is concave down. g is concave down…

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Q: 1. Evaluate the given integral [(4x³ - 3√x) dx 12x² a. - 3 2√√x + C 2 1x²-3x² + c x4 X2 C 4 b. 3 x4…

A: Solve the intregal

Q: Use Fubini's Theorem to evaluate the double integral ſƒ ƒ(x, y) dA, where f(x, y) = 8x² − 4x²y²-y…

A: Answer: The solution is given below:

Q: (a) In(a + b) In(a)In(b) for all a,b > 0 OTrue False (b) In(a-b) In(a) + In(b) for all a,b>0 OTrue…

A: Since you have asked multiple part question, we will solve the first 3 part of the question for you…

Q: equation, find dy/dx evaluated at the given values. y²-x5= = -7 at x = 2, y = 5

A: Topic:- application of derivatives

Q: Classify each differential equation as separable, exact, linear, homogeneous, or Bernoulli. Some…

A: Use the concept of the differential equation

Q: The graph of the function f(x) = x²2e-x/7 26.53+ 21.22 15.92 10.61 5.31 follows. 5 10 15 20 25 30 Q…

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Q: Set up a triple integral for the volume of the solid. Do not evaluate the integral. The solid in the…

A: See this solution in below.

Q: The function f(x) = x²e¹⁰x is increasing on the interval and is decreasing on the interval The…

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Q: determine whether the sequence converges or diverges. if it converges, find the limit. (if the…

A: We can find whether the sequence is convergent or divergent .

Q: Solve for the general solution of the given DE: O 2x^2 + x cos(y) - y^2 = C x^2 + 2x sin(y) - 2y^2 =…

A: To solve the given differential equation.

Q: On what interval(s) is the function f(x) = x55x4 + 15 both increasing and concave down? (Enter your…

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Q: ԱՆ JS 12x + 3y² dA R es x = y² and x = 9.

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Q: Set up, but do not evaluate, an integral for the length of the curve. ST 2 x = 4 sin(y), Osys (C dy

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Q: Differentiate f(x) = 8√√/5x6 + 6x¹. Simplify your answer and enter it without fractional or negative…

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Q: 80. A cubic function is a polynomial of degree 3; that is, it has the form f(x) = ax³ + bx² + cx +…

A: f(x) = ax3+bx2+ cx + d on differentiating,   f '(x) = 3ax2 + 2bx +c which is a quadratic in x and…

Q: x+2 find the absolute maximun and absolute minimur value of the following continuous function on the…

A: To find out the absolute maximum or minimum.

Q: Let u(x) = sin(x) and v(x) = x20 and f(x): u'(x) = v'(x) = f' = u'v - uv' v² = u(x) v(x)

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Q: Let f(x) = 9x67x5. (If an answer does not exist, enter DNE.) (a) Find all critical values of f(x).…

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Q: Which of the following integrals corresponds to the volume of solid generated by the rotation of the…

A: Topic = Volume

Q: Verify Green's Theorem by evaluating both integrals √ y² dx + x² dy = √ √ (ON-OM). dA ay for the…

A: Concept: Integration  ∫xndx=xn+1n+1+C.....(where C is constant) Green's Theorem: Let D be the area…

Q: Write a function in any form that would match the graph shown below. -10 -8 -6 Answer: f(x) = -4 -2…

A: Given query is to find the function of the graph.

Q: Suppose that f(x) = (x + 4)(x - 3)2. (If an answer does not exist, enter DNE.) (a) Find all critical…

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Q: Use the Squeeze Theorem to show that lim x² cos(22xx) = 0. x-0 Illustrate by graphing the functions…

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Q: 10 & 16 (a) Find the intervals on which f is increasing or decreasing. (b) Find the local maximum…

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Q: Find the area of the region bounded by the curves y = x² - 6x + 6 and y = -x² + 4x - 2.

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Q: A storage shed is to be built in the shape of a box with a square base. It is to have a volume of…

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Q: If 3x - 5 ≤ f(x) ≤ x² - 3x + 4 for x ≥ 0, find lim f(x). x →3

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Q: Determine the corresponding differential equation for a family of circles with center on the x-axis…

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Q: radius=100mm radius=100mm

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Q: Evaluate the iterated integral. 12 18 1²/10 (x² - 2y²) dx dy J1 Jo

A: Need to evaluate the double integration.

Q: K Find the lines that are tangent and normal to the curve at the given point. x²y² = 64, (-1,-8) The…

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