Consider the following. -1 focus I directrix y -2 -3 Find an equation of the parabola. Find the focus and directrix. (x, y) = 1 X X 3 4 5 X

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A: we need to find out the volume of the solid generated by revolving the region that is bounded by the…

Q: Given the situation depicted below, which iterated integral corresponds to the blue figure's volume?…

A: Consider tne figure

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A: The ratio test:

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Q: Find sin theta and cos theta, if tan theta = -3 and theta terminates in Q3.

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

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A: Consider the given marginal cost function.C(x) is the cost function and the fixed cost is $3000.

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A: Let the length of the box  mLet the width of the box  mLet the height of the box  m

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A: (a) given, if

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A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

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Q: 1 2n 4. Let an = 27-1-2 The convergence (or divergence) of the resulting series, Σn=1 an can be…

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Q: Suppose an = -баn_1 — 40л-2 a az 03 4an-3 and a4 = -92, a5 = 500, and a = -2672. Find A1, A2, and…

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Q: Graph the region between the curves. 12 y = 6x² 1 + x y =

A: The region bounded by curves

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Q: Solve for r to two decimal places. 3=e7r [ (Do not round until the final answer. Then round to the…

A: To solve the following equation for to two decimal places.

Q: Consider the function f(x,y) = tan (2x - 2y) and the point P the xy-plane showing P and the level…

A: f(x,y)=tan(2x-2y)

Q: If cos x = 4/5, csc x < 0, then sin 2x cos2x = tan 2x

A: Cosx=4/5 ,cscx&lt;0

Q: Write a triple integral, including limits of integration, that gives the volume between 3x +2y + z =…

A: The given equation are 3x + 2y + z = 35x + 3y + z = 3x + y  1, x  0, y 0

Q: g(x, y) = 4x² − 5xy + 2y²-x-2y+7

A: We are given the function and we need to find out the critical points and also need to classify…

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Q: Let lim g(x) = 5 and lim h(x) = 2 x→4 x →4 Determine the value of the limit h(x) lim x→4 x + g(x)…

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Q: Find f'(x). f(x)=3e+4x- Inx f'(x) = [

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Q: f(x) = 9(x − 4)²/³. 2/3 -

A: f(x)=9(x−4)2/3Using the power Ruleddxxn=nxn−1

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Q: 8 2. a) Differentiate the function Q(p) = -2³√/p³ (e²-√³) b) Hence or otherwise, determine Q'(1).

A: The given function

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A: To write the equation  in Cartesian coordinatesand to identify the corresponding curve.

Q: USE THE GIVEN TEST TO DETERMINE THE CONVERGENCE THE GIVEN SERIES. OR DIVERGENCE OF RATIO TEST: 2n+l…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: s, is in metres, and t2 0. Find the acceleration of the car at the instant when the car reverses…

A: To find the acceleration when the car reverses direction, we first need to determine when the…

Q: (a) y = x³+3* - 1 3√x + 3 csc (3). (b) y = a + bx² x4

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Q: Find two positive integers such that their sum is 28, and (a) maximize and (b) minimize the sum of…

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Q: As PQR in sicle Circl x²+4=25 Such that & & Rone (3,4) 8(-4,3) fmd <Q PR?

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Q: What is the rule for the linear function described below? The linear function that passes through…

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Q: Find the area of the surface generated by revolving the curve about the x-axis. 1==32²₁ 15 y -x³,…

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Q: If cos(t) = where r < t <3, find the values of the following trigonometric functions. Note: Give…

A: Here we have,The given interval is This means the angle is in the third quadrant.As we know,The…

Q: Find the absolute maximum and minimum values of the following function on the given region R. f(x,y)…

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Q: Find f'(x). f(x)=(7x+4)(9x-3) f'(x)= (Type an exact answer.)

A: Given, .Rules of derivative:

Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = (a) Find the interval…

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Q: What is a Laplace transform of 6sin5t

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Q: Test the series below for convergence using the Root Test. ∞ n=1 7n 2n + 1 n The limit of the root…

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Q: M8 n=1 4 (4n – 3)(4n + 1)

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Q: Find the local maximum and minimum values of fusing both the First and Second Derivative Tests. (If…

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Q: he temperature of a person during a certain illness is given by the following equation, where is the…

A: We are asked to find extreme point of the function

Q: (g) y = (x +3)10(x +1)(3–5r). (h) y = (cos x)".

A: To find the derivatve of each of the following functions.

Q: USE THE GIVEN TEST TO DETERMINE THE CONVERGENCE THE GIVEN SERIES. OR DIVERGENCE OF INTEGRAL TEST a)…

A: The given series

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Q: Evaluate the following integral. 10 J (x − 1)(x² +9) dx

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Q: Find any relative extrema of the function. List each extremum along with the x-value at which it…

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