27. x² - xy - y² = 1, (2, 1) (hyperbola) 28. x² + 2xy + 4y² = 12, (2, 1) (ellipse)

Q: Consider the region bounded by the curve y = 4x2 - x3 , the x-axis, and the lines x = 1 and x = 3.…

A: giveny=4x2-x3

Q: The crash risk of an intoxicated driver relative to a similar driver with zero blood alcohol is…

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Q: 710

A: NOTE: Refresh your page if you can't see any equations. . use the formula  .................(1)

Q: Consider the function h(x) = (x+1)f(x). Give the formula for the derivative h'(x). 1

A: Given query is to find the derivative.

Q: A graphing calculator is recommended. The displacement (in centimeters) of a particle s moving back…

A: NOTE: Refresh your page if you can't see any equations. . the given position function is

Q: Use Fubini's Theorem to evaluate the double integral ſf f(x, y) dA, where f(x, y) = −3x − 4xy – 9y²…

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Q: Let y (9x+3)(x² - 8)6 Use logarithmic differentiation to determine the derivative. y' = =

A: Need to find out the logarithmic differentiation.

Q: The radius of a circle increases at a rate of 2 m/s. Find the rate at which the area of the circle…

A: Given: the radius of a circle increases at a rate of 2m/s. We need to findthe rate at which the area…

Q: Let F(t) = (4t+2, - 4e*, 2e-4). Find the line (L) tangent to r(t) at t = 3. L: (x, y, z) - +t

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Q: x³ dr (1 + x²

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Q: The position vector r describes the path of an object moving in space. Find the velocity v(t), speed…

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Q: Find the local and absolute maximum and minimum values of f(x) f(x) = cos x, x ∈ [-3pi/2 , 3pi/2

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Q: Consider the function f(x) 1. f(1) = x+1 y- Determine each of the following. Give your number as a…

A: Given query is to find the equation of the tangent.

Q: Obtain the differential equation whose general solution is y = C₁ +₂e³x. O A y"-3y' = 0 3y"-y' = 0…

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Q: A continuous function y = f(x) is known to be negative at x = 2 and positive at x = 5. Why does the…

A: Intermediate value Theorem :-If fx is a continuous on a,b,then for every k between fa and fb,there…

Q: Suppose that f(x, y) = x² − xy + y² – 5x + 5y with D = {(x, y) | 0 ≤ y ≤ x ≤ 5}. - 1. The critical…

A: need to find out the critical point point of absolute maximum, absolute minimum.

Q: Refer to the figure and find the volume V generated by rotating the given region about the specified…

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Q: C) Choose the correct integral expression that gives the area of R. O R [T O ㅠ/4 f 4 3π/4 π/4 p3п/4…

A: Note:- these are multiple question but we can do maximum 1 according to rule so i am doing first…

Q: X y' - m₂y = C₁ e¹₁x, c₁,m,, m² are constants, 1 m ₁ m₂ I

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Q: 4. How far from y-axis is the center of the circle 2x² + 2y² + 10x - 6y - 55 = 0? 5. How far from…

A: Given the equation of a circle, 2x2+2y2+10x-6y-55=0

Q: Which of the following are rational functions? Select all that apply. f(x) = = Of(x)= Of(x) = Of(x)…

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Q: Find the distance between the points A(1,3,5) and B= (7, 12, 7).

A: find the distance between two point  this is the question of vector geometry  we have to find the…

Q: A car's rear windshield wiper rotates 105°. The total length of the wiper mechanism is 23 inches and…

A:

Q: Evaluate the definite integral by the limit definition. Lxdx

A: evaluate the definite integration by limit definition

Q: > 9:37 A particle moves along the x-axis so that its position at time 0 < t < 18 is given by x(t),…

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Q: Suppose that a price p and demand x are related through the price-demand equation  x+400p=8,000…

A: Given that x+400p=8,000 where x is demand and p is price Elasticity of demand = Percentage change in…

Q: Solve the following exponential equation. Express the solution set in terms of natural logarithms or…

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Q: Given the vector-valued functions 3t u(t)= e ti+e³tj - 2tk v(t) = 5ti - 4t²j+3k find (u(t). v(t))…

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Q: If z² = x³ + y²₁ dt dx dt Please give an exact answer. || - Provide your answer below: - dy 2, = =…

A: Topic = Derivative

Q: Determine the x-intercepts of the function g(x) = 2sin(2x) + 1 on the interval [0, 2m]. {끙끙} 17 117…

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Q: ******** ********* *********** Verify that the function satisfies the three hypotheses of Rolle's…

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Q: Find the indefinite integral. (USE INTEGRATION BY PART ONLY-Use C for the constant of integration.)…

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Q: Find the equation of the tangent line to the curve y = 10x -x^2 at the point x =1

A: To find the equation of the tangent.

Q: Below are the polar coordinates. Find the Cartesian Coordinates. (0,5) (-5,0) (0.-5)

A: The polar coordinate is 5, 3π2 We have to convert the Polar coordinate to cartesian Coordinates.

Q: Find the linear approximation L(x) of the function f(x)=√4-x at a = 0. L(x) = Use L(x) to…

A: The given function is f(x)=4-x.

Q: What is the slope of the line that passes through (1,-1) with y-intercept -2 2 -2 P

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Q: A storage shed is to be built in the shape of a box with square base. It is to have a volume of 539…

A:

Q: find the first derivative for :Y=8-7x-7x^2+4x3

A: Given query is to find first derivative.

Q: 2.7 Derivatives of Exponential and Logarithmic Functions 11. Use Logarithmic…

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Q: s³ - 343 Define f(7) in a way that extends f(s) = s²-49 to be continuous at s = 7.

A: Given f(s)=(s³-343)/(s²-49)= (s-7)(s²+7s+49)/(s-7)(s+7)= (s²+7s+49)/(s+7)

Q: x = 3t² + 3t 2t² + 5 The position of an object at time t is given by the parametric equations Find…

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Q: Consider f(x)=x^4-2x^2+3 Note:Note: Use round parentheses for your intervals (open interval…

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Q: Let f(x)= In (x^4) f'(x)=

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Q: Consider the region bounded by the curve y = 27x − x 4 and the x-axis. Use the trapezoidal rule with…

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Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval.…

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Q: The same capacitor circuit is now charged up to 12V and the instantaneous voltage is v=121-e -e²²).…

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Q: Find the average value of the function over the given interval. (Round your answer to three decimal…

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Q: A solid is obtained by rotating the shaded region about the specified line. about the x-axis 448 3 O…

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Q: An object is moving with a uniform acceleration a = 2ms ², determine the functions for: c) a)…

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Q: If f(x)= e^2+In(9) then f" (x)=? Please answer asap and write neatly Thank You.

A: see below the answer and explanation