1. Solve the following quadratic equation by completing the square: x2 – 6x +4 = 0

Q: The one-to-one functions g and h are defined as follows. g= {(0, -3), (3, -9), (4, 3), (7, 2), (8,…

A: The objective of the question is evaluate the given function values.

Q: Find the absolute extrema of the function on the closed interval. g(x) = 9 sec x, 3 minimum (x, y) =…

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Q: Choose the point which shows the correct location for the polar coordinate (-2, 180°). 90° 2 WIN…

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Q: Trapezoidal Rule. Use the Trapezoidal rule to approximate the integral — 2х dx with n = 4…

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Q: find a power series representation for this function?

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Q: Find the arc length over the domain 0<t<5 7t 1 10) x= V-7t – 2, y=- + | 4 2

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Q: Suppose the price of land in a city is given by the function P(x,y) = 227 – 10( x - - 15(y – 1)²…

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Q: Graph the constant profit lines for the objective P=5x+8y through (4,4) and also through (6,6). Use…

A: Please refer attached file for solution below

Q: A. Examine the function for relative extrema and saddle points 1. f(х, у) 3 х2 - ху — у? — 3х — у

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Q: Composition. Suppose we want to find the composition of a function with itself. Let g(x

A: We will put value of x =g(x)

Q: The circumference of a sphere was measured to be 87 cm with a possible error of 0.5 cm. Use linear…

A: Given that the circumference of a sphere was measured to be 87 cm with a possible error of 0.5 cm .

Q: Integrals. Given that -1 5 | f(x) dx = -1 and -5 f(x) dx = -4, f(x) dx = 8 -5 5 what is 2F(x) dx? O…

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Q: Find the value of a in the vector i = (a, b) if b = 48 and ||ū|| = 50 %3D v is in Quadrant I

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Q: Find the general solution of the DE below. Show the method on how you get the roots, not by…

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Q: Use the identities cos 20 = 1 – 2 sin? 0 = 2 cos? x – 1 to help evaluate the integrals. | NOTE:…

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Q: Find the area, A, between the curves y = In x and y = In 3x from x= 1 to x-2. The area is A = (Type…

A: We have to find the area between the given curves.

Q: Electric Current. Suppose you have two electronic devices that have different currents when x = 2.…

A: The given function,   f(x)=a+3x+2x2if x&lt;24x2+6x+8if x≥2

Q: Given the power series 2 (n + 2) A x(2n + 1) n =0 Use the technique that we covered in this lesson…

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Q: 1) Column vectors vy and vz are given as n-) - --() 4 1 v1 =-1 and v2 = a) Find whether or not…

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Q: (a) Estimate the area under the graph of f(x) = 2 + 4x2 from x = -1 to x = 2 using three rectangles…

A: The given function is: f(x)=2+4x2; x=-1 to x=2

Q: Find all horizontal asymptotes for f(x) Vx2+3 %3D

A: Solve the following

Q: Composition. Suppose we want to find the composition of a function with itself. Let g(x) = -3(x+5)2…

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Q: S x²(csc2x³)(cot2x³)dx

A: Given problem:- ∫ x2 (csc(2x3) (cot(2x3) dx

Q: 2x3 — 18х2 + 40х Limits. Evalute lim X→5 x2 rounded to 4 decimal places. 8х + 15

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Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

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Q: 4) Owners of a boat rental company that charges customers between $85 and $375 per day have…

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Q: Integrate f(x,y) =x+y over the curve C: x² + y = 81 in the first quadrant from (9,0) to (0,9). %3D…

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Q: P(t) = P,elin(2) · t) where t is the number of subdivision periods (time), and P(t) is the size at…

A: Given P(t)=P0  et ln2

Q: 4. If a1 = 2 and az = 3 and an = an-1 + 3an-2 for n> 2, a. find the first five terms of the…

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Q: Flight of a Rocket. Suppose the altitude (in metres) of a rocket t seconds into flight is given f(t)…

A: Use derivative for finding the interval

Q: The number of bacteria P (h) in a certain population increases according to the following function,…

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Q: 12 of 13 Find the value of k that will make the function (x) f(x). continuous everywhere c 2 f(x) =…

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Q: b) dx xV5x2 – 4 c) dx 2 + (x - 1)2 d) . /2 2 cosx dx 1+ (sin x)²

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

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Q: Cost Function. Suppose the cost to manufacture a product is given by f(x,y) = x²+Vỹ The domain of…

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Q: Find the values of x for which the function is continuous. f(x) 3x2 + 7 7 all x, x ± – 3 7 all x, x…

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Q: ............................................... Flight of a Model Rocket The height (in feet)…

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Q: A particle is moving with acceleration a(t) = 36t + 8. its position at time t = 0 is s(0) = 17 and…

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Q: mutliple choice- I need help asap please!

A: a. limx→-4+f(x)    This limit means what is value of f(x) when we approach -4 from right(right…

Q: Integration by Substitution. The rate of growth of Grass carp, one of the most common type of fish,…

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Q: Find the general solution of the given linear differential equation. y"" - 2y"" + 5y" = 0

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Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. CSc x…

A: Let's find.

Q: dy 2, find dt da when I = 1 dt x and y are functions of a third variable t. If V + /T 4 and |3D %3D

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Q: Let y = 2x + 2x +3. If Ar = 0.2 at a = 2, use linear approximation to estimate Ay %3D Ay Submit…

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Q: se Exact Differential method (Rule II) to solve : x² – y²)dy = xy dx.

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Q: Business Decisions Sharon, the owner of the Brentwood Motel, is planning to renovate all the rooms…

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Q: P(x,y) = 696 – 10(x - - 15(y – 1)2 where P(x,y) is the price of land at the point (x,y) in dollars…

A: I have used the rule and find the solution . Point (1/2, 1) at which price is highest.

Q: Lena deposits $40,000 into an account that pays 6% interest per year, compounded annually. Ravi…

A: Given problem:- Lena deposits $40,000 into an account that pays 6% interest per year, compounded…

Q: Choose the point which shows the correct location for the polar coordinate (2, 57). 90°2 WIN 4 F7…

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