Find the area of the region bounded by the curve y = x² - 6x + 7 and the line x + y = 3.

Q: x x +4 Give exact answers (not decimal approximations). Let f(x) = Find the values of where f'(x) =…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: State the slope of the line that is parallel and line that is perpendicular A) y=-1/4(x-2)-1 B) x=5…

A: To state the slope of the line that is parallel and the line that is perpendicularto each of the…

Q: Find the differential of the function. y = e³x dy = =

A: We have given function  y=e3x dydx=ddxe3x dydx=e3x·ddx3x dydx=e3x·3 dydx=3e3x dy=3e3x dx

Q: Let s(t) = 6t³ + 9t² - 216t be the equation of motion for a particle. Find a function for the…

A: Given data:- The equation of motion for a particle is, st = 6t3+9t2-216t

Q: Find the linearization at x = a. f(x) = 3₁ a=5 (Express numbers in exact form. Use symbolic notation…

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Q: 8 1. r = sin 20 2. r = cos 20 3. r = sin 40 4. r = cos 40 5. r = sin 30 6. rcos 30

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Q: 2) A company produces and sells smartphones. The revenue for one smartphone is $900. The cost to…

A: NOTE: Refresh your page if you can't see any equations. . the give cost function is  where x is the…

Q: y" - 2y + y = ex/x4 O y = C1e^x + C2x e^x + (e^-x/6x^2 O y = C1e^x + C2x e^x + (e^x/6x^2) O y =…

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Q: Use the tangent plane to approximate a function of two variables at a point. Use a tangent plane at…

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Q: The resistance R of a copper wire at temperature T = 23 °C is R = 1792. Estimate the resistance at T…

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Q: boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley on…

A: let x = horizontal distance from bow of the boat to dock  let y = height of dock  = 1 m = costant…

Q: Find the domain of the vector-valued functions: R(t) = √t² - 9 î+ In]t − 3] ƒ + (t² + 2t − 8) k B.…

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Question 3 An isotope of tin (Sn) has a half-life of 126 days. What is its decay constant? -5.5x10-3…

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Q: Box office revenue at a multiplex cinema in Paris is R(p) = 3600p - 4p³ euros per showing when the…

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Q: Differential Equations d³y(t) ·x(t) dy(t) + y(t) = 0 dt³ dt Linear or Non-Linear Constant or…

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

Q: Solve x + (3x + 1)y=e-3x dx Select one: O a. y = xe-3x + ce-3x O b. y = e-3x + cx-¹e-3x O c. y=e3x +…

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Q: are

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Q: How long is the radius of the circle with center at (-4,5) and tangent to the y- axis?

A: Given query is to find the radius of the circle.

Q: Given the coordinate matrix of x relative to a (nonstandard) basis B for R", find the coordinate…

A: Solution:

Q: Find the volume of the given solid. under the plane x - 2y + z = 5 and above the region bounded by x…

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Q: A rectangular poster is to contain 162 square centimeters of print. The margins at the top and…

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Q: Find the Laplace transform of the function. -t f(1) = 1²e-¹ A B C 24 s5-1 There is no correct answer…

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Q: Approximate 181/4 using the Linear Approximation L(x) of f(x) = x¹/4 at a = 16. (Use symbolic…

A: We need to approximate value.

Q: e) y = √x4+7x

A: Solve for the derivative

Q: Write the particular solution of the first order linear differential equation dy + (ytanx - cosx) dx…

A: Solve the following

Q: i am just very confused, i know all of this is correct but i dont know the basic rules of sets

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Q: Find the following using the table below. x 1 f(x) 3 f'(x) 2 2 3 4 2 4 1 4 1 3 g(x) 4 3 1 2 g'(x) 2…

A: Given that hx=fx.gxh'x=f'x.gx+fx.g'xh'2=f'2.g2+f2.g'2h'2=4×3+2×3h'2=12+6h'2=18

Q: If √x + √y = 12 and y(1) = 121, find y'(1) by implicit differentiation. 11- X

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Q: Let / be the length of a diagonal of a rectangle whose sides have lengths x and y, and assume that x…

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Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

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Q: Find the following using the table below. I f(x) 1 2 3 4 3 2 4 1 1 3 1 2 3 1 4 f'(x) 2 4 g(x) 4 3…

A: Given thatthe table To find :1. h'2 if hx=fx.gx2. h'2 if hx=fxgxSolution…

Q: Find the area of the region bounded by the curves y = xe -0.4x Area = x = 5, and y = 0. >

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Q: A population of a particular yeast cell develops with a constant relative growth rate of 0.4321 per…

A: The population of something on growth and decay rate is given by P(t)=P0(1+r)t-1, where P0-initial…

Q: Find a particular solution to the nonhomogeneous differential equation y" +25y = cos(5x).…

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Q: Consider the following figure. To -6 -5 -4 -3 -2 -1 11+ 10+ 9+ 8- 7+ 5 5+ 4- لیا 3- 2+ 1- O -1+ 2 N=…

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Q: Find the limit. lim sin(3x) X-0 2x

A: To find the following limit.limx→0 sin3x2x

Q: 4. y" -10y +34y = -cos3x

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Q: y = 5x³

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Q: (a) d (√1+x²)

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: h) R = 3qe 9

A: Given data:- The given expression is, R = 3qe-q

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

A: See this solution in below.

Q: A rectangular package to be sent by a postal service can have a maximum combined length and girth…

A: NOTE: Refresh your page if you can't see any equations. . x=side of the square cross-section of the…

Q: A state patrol officer saw a car start from rest at a highway on-ramp. She radioed ahead to another…

A: Topic -Mean Value theorem We are given, Initial speed of car =0mi/hr Final speed of car= 60 mi/hr…

Q: at x = a. = 9 xact form. Use symbolic notation and fractions where

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Q: A population of a particular yeast cell develops with a constant relative growth rate of 0.4321 per…

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Q: Given the demand function D(p)=√√375 - 4p, How many products will be sold if the price is $2? Find…

A: Let's find elasticity Function and elasticity at price $2.

Q: Find the volume of the solid that lies under the hyperbolic paraboloid z = 3y2x2 + 4 and above the…

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Q: Find an equation of the level curve of the function z(x, y) = ey (x² + y2) that passes through the…

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Q: Compute the surface area of revolution of y S I 4x + 3 about the x-axis over the interval [0, 5].

A: NOTE: Refresh your page if you can't see any equations. . the given equation is  the given interval…

Q: b. If the surface area of the rectangular box is 24 square feet, find dy when x = dx 2 feet and y =…

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