Solve this problem algebraically, using your knowledge of derivatives. Do not solve by graphing. What is the absolute minimum of the function f(x) = 3x + 6x - 8 [-2, 1] ? on the domain 0 8 O -6 O-11 O No absolute minimum on the given domain.

Q: 1. Find all the remaining zeros of this polynomial function 2 = x' + x° + 7x´ + 9x – 18, 3 if one…

A: To find all the remaining zeros of this polynomial function.Px=x4+x3+7x2+9x-18, if one zero is 3i.

Q: Identify the range of arctan(x) so that the relation is a function. ) - TI< y< 7[ 00<y<

A: here range of arctan(x) is -π/2 to π/2 because if we put π/2 it give infinte value  so range…

Q: Consider the following. y = x2 y = 20 − x   (a) Find the area of the region by integrating with…

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Q: За - 2 lim x3 - 1 O 2 O does not exist 13 8.

A: lim      (3x-2)/(x3 -1) x -- ∞ here ∞/∞ form so we use la hospital rule we differentiate above and…

Q: a) Find the value of r. Round off your answer to four decimal places. b) How many bacteria are there…

A: Follow the procedure given below.

Q: Españe Find an equation of the ellipse that has center (-1, 2), a minor axis of length 2, and a…

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Q: Find the solutions of the system of inequalities by graphing: x + y 1

A: This is a problem related to inequalities. Based on the graph of both linear equation we can…

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A: We are given position equation of a particle moving vertically (in inches) along y-axis : s(t) =…

Q: Find the volume of the solid that results when the region enclosed by y = Vx, y = 0, and x = 1 is…

A: Given problem:- Find the volume of the solid that results when the region enclosed by y = √x, y = 0,…

Q: QUESTION 3 List the ordered pair for the following graph. a d e…

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Q: y" + 6y' + 13y – 0 9y" + 9y' + 4y –0

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Q: Set-up the integral for the area A(R) of the region R bounded by the circles y2 + x² = 4, and y2 +…

A: Region bounded by two circle in fourth quadrant

Q: Set up integrals for both orders of integration. Use the more convenient order to evaluate the…

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Q: (1 point) Given 12-49 dt 1+ cos2 (t) f(x): %3D At what value of x does the local max of f(x) occur?…

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Q: graph for the function arctan(x).

A: f(x)=tan-1(x)

Q: F0 (-1)" Ln=1 By the 5n+1 series test:

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Q: biscee HOM VIT MOBKI (-) = (x)f %3D (x? – 7x+13) for 8. Identify any asymptotes, extrema, points of…

A: Given that the function is       f(x) = (x2-7x+13)/(x-4)

Q: Set-up the integral for the area A(R) of the region R bounded by the circles y2 + x² y2 + x² = 16,…

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Q: Consider the curve y = 4x3. The sketch of the portion of this curve between x = – 1 and x = 8 is…

A: Arc length formula:L=∫ab1+dydx2 dxy=4 x23dydx=423 x-13dydx=83 x-13

Q: x^n dx=x^(n+1)/(n+1)+C is not possible when    a. n=0   b. n=1   c. n=-1   d. n=2

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Q: Could you use L'Hopital's rule to solve the following question in its current form: lim,0+ In(x+1) O…

A: We have one of the following form limx→af(x)g(x)=00 or  limx→af(x)g(x)=±∞±∞  In these cases we have…

Q: 1. For each specified discontinuity, sketch the graph of a possible function f(x) that illustrates…

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Q: 4. Ln=1 By the series test: 3n-2

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Q: Find the gradient of the function at the given point. Function Point F(x, Y, z) = Vx + y² + z? (8,…

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Q: Find the directional derivative of the function at P in the direction of v. h(x, у, 2) %3D хуz, Р(5,…

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Q: graph of the function arccsc( x

A: We can graph the function as below.

Q: Find the particular solution of an EDE (2xy2 +1)dx + (2x2y-y)dy%3D0 when x-2 and y=-2 Answer:

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Q: Find y' (-1) if y = In (a² + 5)° (2 – 4æ)®

A: I have stated the used formulas in the solution

Q: (c) Find a and b such that the following function is continuous at z= 1: (2² + a, z1.

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Q: Evaluate: Σ 1°e(2+x)i+2x

A: The given expression is: ∑i=0∞1i!xi1ee2+xi+2x. We will use the fact: 1e=1 to simplify it. So it…

Q: Use APQR, as needed, to complete the given parts. Part 1: Let h be the height of APQR. Find the…

A: Using the given figure of the triangle PQR to find the answers of the given questions.

Q: Knowing that harmonic series is divergent, which of the following series is also divergent by Limit…

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Q: Use the comparison test to test the series i n²-1 n = 1 n* 4

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Q: 10 The following series is divergent. (-7)-/2 + 17 Select one: O True O False

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Q: Write each pair of parametric equations in rectangular form. Then sketch the curve. 8) x= 4cos t+ 1,…

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Q: 6n+5 is Ln=1 5n+1 Determine whether the series convergente or divergente.

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Q: A lacker 20 feet lon3 is Kanin3 azainst th Wall of a house, The base Of the ladder iS PUICA allay ot…

A: According to the question diagram will be as below Given: dxdt=3 ft/sec To find: dydt

Q: Find the solutions of the system of inequalities by graphing: ¤ + y 2

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Q: Sketch the curve with the given polar equation.

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Q: Find a polar equation for the curve represented by xy = 4.

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Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by y…

A: Suppose f is non-negative and continuous on the interval [a,b],then the volume V formed by rotating…

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Q: x2 Find the length of arc of the curve y = 4 Inx from x 1.5 to x = 2.

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Q: 4. Find the absolute maximum and absolute minimum of the function f(x) = 3 sin(x) cos(x) over the…

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Q: Solve the differential equation xy? ; /1+ x² dy y(0) = 4 dx There is no need to isolate y.

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Q: Find the volume of the solid generated if the region bounded by the parabola y2 = 4px (p > 0) and…

A: Given

Q: Find the parametric equation of x, y, z where : . z2 = x2 + y2 p. 9 = x2 + y² Nhat is the name of…

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Q: 4. A certain style of church window has the shape of a semicircle atop a rectangle so that the…

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Q: dy 2 Solve (x2 - 1)+ 2xy x2-1

A: (x2-1)dydx+2xy = 2x2-1dydx+2xx2-1y=2(x2-1)2this Diff eq is Linear Diff Eq.dydx+P(x) y =…