1. Identify the type of conic section whose equation is given, then find the vertices and foci. (x+5)², (y-9)² = 1 16 49

Q: Find the area of the region enclosed by the curves y=x^2 and y=6x by integrating with respect to y.…

A: To find the area of the region enclosed between the two curves.

Q: Find the particular solution of the following ODE given that y(0)=0 and y'(0)=0: d'y_4dy –4+3y=…

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Q: S csc2xdx cosx O sinx+C O -cotx+C O -cotx

A: By using standard formula.

Q: A rotating light is located 15 feet from a wall. The light completes one rotation every 5 seconds.…

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Q: nd the linearization of f(x)= {Vx at c = 64. Use the linearization to approximate 64.05.

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Q: The state of Alaska allows for the following sequence on license plates, 2 letters followed by 3…

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Q: WHAT IS THE FOURIER EXPANSION OF THE PERIODIC FUNCTION WHOSE DEFINITION IN ONE PERIOD IS : F(t) = 0…

A: Solving

Q: 5. y = [csc Jarcsin (cos.x)

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Q: Calculate the higher derivative. (Use symbolic notation and fractions where needed.) d? 8 cos (1) =…

A: To find,  d2 dt28 cos2(t)

Q: Write an equation for the function graphed below. Use the smallest powers possible to meet the…

A: To find the equation of given graph.

Q: Find the profit function for the given marginal profit and initial condition. Marginal Profit…

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Q: ) Below is a diagram of the dotted cube with edges of length 5. Suppose (5, 0,0), v = (0, 5, 0), and…

A: Given u=5,0,0v=0,5,0w=0,0,5

Q: Consider the region bounded by x = 3y and x = y^2. A solid is formed by rotating the region about…

A: We have to set up the integral to find the volume.

Q: Given: (1+5x, X<-1 f(x) ={ x2 -3, -1 <x<3 7x-6, x23 Determine (if possible) f(-1) a. None of these…

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Q: t $14.15, the demand (customers) for UB-shirts is 400. When the price increases to $15.25 the demand…

A: Given query is to find the demand at given point.

Q: 10 9. Consider the function f(x) %3D Let F(r) be the antiderivative of f(z) with F(1) 0. Then F(x)

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Q: 350 The average cost of producing q computers per day is = 2- 422q + 1792, find the %3D dc Calculate…

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Q: Integrals

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Q: Determine the value of 3A+1OB if 14x2 + 33x + 9 Cx + B %3D (x – 1)(x+ 1)2 x - 1 (x + 1)2 Answer:

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Q: Solve the Laplace Transform of the given function 6e5t cos(2t) – e7t

A: Solved below

Q: Find an equation of the tangent line to the graph of y = x^3 − 1 at the point where x = 2.

A: To find the equation of the tangent line at x=2.

Q: f(x)=x-4/x^2+2x+17 What monomial expression best estimates the behavior of x-4 as x→± ∞ ?…

A: Given problem:- f(x)=(x-4) /(x2 +2x+17)    What monomial expression best estimates the behavior of…

Q: Police use the formula: v = /20L to estimate the speed of a car, v, in miles per hour, based on the…

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Q: Consider the region bounded by x = 3y and x = y^3. A solid is formed by rotating the region about…

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Q: g(b) Use the Substitution Formula, JKax) •gʻ(x) dx = [ | f(u) du where g(x) = u, to evaluate the…

A: The given integral,a) ∫-334rr2+22drb) ∫034rr2+22dr

Q: 9- If a person with O'Micron virus coughs, It will spread the virus in a spherical form, determine…

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Q: Find the limit. NOTE: Enter the answer using round brackets. t2 +1 1 lim t→+∞ \ 3t2 +4’ 6t (?, ?)

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Q: y = 2 ||

A: We have to find the derivative of the function y = 1-x2ex2

Q: 240 2 s7 17(s-1)8

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Q: Recall that csc(x) and cot(x) = sin(x) cos(x) sin(x) d4 cot(x) The ratio dx csc² (x) is a constant…

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Q: Compute the composite functions fog and gof and discuss their domains, where f (x) =vx, g(x) = 1 –…

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Q: 12. The Statue of Liberty is 150 feet tall and stands on a 150 foot pedestal. How far from the base…

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Q: 9. Find the sum. (a) 22 32 23 33 29 34 310 (b) 1 + 2/2 23/2 11 1/2 1.

A: b)1+1212+12+1232+.........

Q: 73 dx

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Q: Find T(t) and N(t) at the given point. r(t) = (t2 – 3)i + tj; t = 3 T(3) N(3) =

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Q: Question 2 Find the equation of the line through (9, 2) with slope -2/3. Select your answer y =-2/3…

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Q: d= 3 m

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Q: Use Chain Rule to find given w = ds x2 – 2y + z2 and a = cos (st), y = -2s In t and z = s – - VE.

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Q: Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a…

A: Find Maclaurin series.

Q: Let C1 be the curve with parametric equations x = cos t, y = sin t – t, where t E [0, 5]. (a) Find…

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Q: 2. (6x-2) dy d2

A: Given query is to find the value of the integral.

Q: Find the arc length L of the graph of r(t). 1 rt) - i+t j+Vor k, 2<1<5 2 <t< 5

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Q: q² In(2x)dx

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Q: 7. The ellipse with the equation y2 = 1 is rotated about the x axis to form a solid shape. A…

A: Given:  An ellipse:x252+y242=1  , rotated around x-axis. A cylinderical hole of radius 2cm along…

Q: A pole that is 3653 feet long is leaning against a brick wall. The bottom of the pole is getting…

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Q: 4 '2 If f is continuous and f(x) dx = 10, find | F(2x) dx. %3D

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Q: Find the volume of the solid generated by revolving the area bounded by y = x³ and x? = y3 about the…

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Q: Suppose that f is a continuous function such that | f(z) dz =-12. Find 2i (r") dz.

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Q: Dix) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

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Q: Find the arc length L of the graph of r(t). r(1) – ittj Vor? k. 1 r(t) = t i+tj 2 <t< 5 L = i

A: To find the arc length L  of the graph of r(t).