Find the minimum and maximum values of the function y = 8/x² + 1 – 3x on the interval [0, 6] by comparing values at the critical points and endpoints. (Use decimal notation. Give your answers to three decimal places.) Ymin a Ymax =

Q: 4 dx

A: Use limit comparison test and p series test

Q: 5. у %3D sin? (3x2 — 1) 6. Р() %3D 4csc(sin3t) ans. y' = 6xsin(6x² – 2) ans. P'(t) = -12(cos3t)csc(s...

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Q: D etermine if continuous f(x) = X-2 x² -14 %3D at x=2

A: Here we will check that given function is continuous at x=2 ,

Q: Find an equation for the functionf that has the given derivative and whose graph passes through the ...

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Q: The natural law of decay is used to study the radioactive decay of Radium: dm = -km dt Where m is th...

A: This question is related to differential equations, we will solve it using given information. 

Q: Solve the following: dx 1. xV4x2 - 25

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Q: Ordered: Baby formula 1:2 strength, 60 mL per hour to be diluted with SW. a. What is the equivalent ...

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Q: Sove the differential equathons (x+ 2y -1) dx-(2x+y-5) dy =

A: Homogeneous equation to reducible form :                dydx=ax+by+ca'x+by'+c', provided , aa'≠bb'.T...

Q: 5. Some integrals might seem complicated. But they will simplify significantly if you look at them i...

A: Evaluate the integral .

Q: 1. Н: у%3DNx+1 g: y= x| 2.

A: We can draw the graph and find domain and range as below

Q: 3) The electrical power, p(), in kilowatts, being used by a household as a function of time t, in ho...

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Q: Consider the equation below. Operati x² + 9y – 9z² = 0 Functic Symbo Reduce the equation to one of t...

A: Given equation x^2+9y-9z^2=0

Q: Solve the first order differential equation. dy - y ln(y ecos x) dx = y sin xdx

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Q: Find the area of the given region. Use a graphing utility to verify your result. 1 + In x3 y = y 1 1...

A: The region bounded by y=1+ln x3x between x=1 to x=2

Q: ntegral. 1 3t(2 – t)²dt -1

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Q: 1/ |x - 1 x2 + 4x - 5 2/ -3|x - 1|-6= 3 3/31x+ 리+6<15

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Q: If In(a) = 2, In(b) = 3, and In(c) = 5, evaluate the following: In(a³b') (c) In(bc) - 3 1 а (d) (In ...

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Q: Evaluate the integral. S* con5 8x dx n/2 O-2 15 15

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Q: Evaluate the integral į. I. (1 - x - x² – y²)dA Where R is one-unit circle on the xy-plane.

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: Use los, differentiation to find dydx X+3

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Q: ū = (-/3, –1) and w = (1, /3) E. |

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Q: 3x5+x*+2x3+3x²+18 f(x)= х2—24 Solve for the lim f (x) Uusing the following methods: X→5 a. Table of ...

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Q: For the differential equation: (D³ + D² + 4D + 4)y = 0 when x = 0, y = 0,y' = -1, y" = 5 %3D %3D %3D...

A: Here we have to find the solution of differential equation.

Q: An airplane is flying on a horizontal path at the height of 3,800 feet. At what rate is the distance...

A: We need to find rate of distance changing.   ddθ(cscθ)=-csc(θ)cot(θ)

Q: Use linear approximation, i.e. the tangent line, to approximate 2.86³ as follows: Let f(æ) = x³. The...

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Q: Draw the graph of the following functions and give the domain  and range of each.

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Q: Find a function z=f(x,y) that has partial derivatives given below. f_x=2sin(x)cos(x)-6xy^2 and f_y =...

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Q: At time t, the position of a body moving along the s-axis is s =t°- 12t + 36t m. a. Find the body's ...

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Q: Starting from the first principles (lim x->a f(x) - f(a) / x - a = lim h -> 0 f(x+h) - f(x) / h), fi...

A: Note:- according to the company policy we attempt only one question so please upload the next questi...

Q: Given g(x) - √3-2x, find g(1/2+Δx) - g(1/2) / Δx

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Q: dy VE (1 + y?/7) 21

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Q: Solve the given differential equation by undetermined coefficients. y"-8y'+16y = 24x+2

A: The given differential equation is y''-8y'+16y = 24x+2 We have to solve differential equation by met...

Q: Solve the following  complex numbers in their rectangular form: log(2+4i)((3.0642+2.5712i)(-2.0806+...

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Q: d. e. lim f(x) X→→2+ y = f (x) f. lim f(x) g. lim f(x) x→-2 X→-0 h. lim f(x) i. f(-2) X→+∞ 2.

A: limx→a f(x) = L if and only if limx→a+ f(x) = L = limx→a-f(x).

Q: Choose the letter of the correct answer. 1. There are 4 conditions to determine if the given functio...

A: Given 1. There are 4 conditions to determine if the given function f is continuous at the given numb...

Q: is the collection of all elements under consideration in a statistical inquiry. A. Statistics C. Pop...

A: Population is the collection of all elements under consideration in a statistical inquiry

Q: Find the average value of the function g(x) = xe *in the interval [I, 4].

A: We know that average of the function in the given interval is the ratio of the integral of the funct...

Q: Evaluate the integral. | 8xex dx

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Q: 1 ao et/2 dt = 0.50 2 An e-1/2 cos 2nt dt = 0.504 1+ 16n? 8n b, = et/2 sin 2nt dt = 0.504

A: a0 = (1/π) ∫0π e-t/2 dt , put -t/2 = x , dt = - 2dx Using formula ∫ et dt = et + c a0 = (1/π) ∫ ex (...

Q: For following points please plot the pointsand find the distance between the points and find the mid...

A: We know that, Distance= √((x2-x1)²+(y2-y1)²) Mid-point= ((x1+x2)/2,(y1+y2)/2)

Q: (x^3 + x^4)dx + 8y^(3)xdy = 0

A: x3 + x4dx + 8y3xdy = 0

Q: Find a vector equation and parametric equations for the line. (Use the parameter t.) the line throug...

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Q: f(x) = 3x² – 6x+1, taking the sample points to be point and a = 0,6 = 3, and n = 8. %3D Find the exa...

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Q: 15

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Q: Verify that f has an inverse function. Then use the function f and the given real number a to find (...

A: f(x)=x+9x+3,  x&gt;-3, a=2

Q: Write the correct derivative of the following. 1. - cos^-1 x 2. csc x + 3 sec x 3. x² tan x

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Q: 1 S- (z+1)² (2z²+4z-34)7 dz

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Q: . Find the area of the surface generated by revolving the given curve about the -axis. x = 9y + 1,0 ...

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Q: Solve the first order differential equations (x³ + y4)dx + 8y³xdy = 0 when x = 4, y = 2

A: (x3+y4)dx+8y3xdy=0dividing by dx  on both sides(x3+y4)+8y3xdydx=0dydx=x3+y4-8xy3dydx=-x2y-38-y8xdydx...

Q: Find the derivative of the function. 1 In(1 + 49x 14 y = x arctan 7x dy

A: Given y = xtan-1(7x) -114ln(1+49x2)dydx = d xtan-1(7x) -114ln(1+49x2)dxdydx = dxtan-1(7x)dx-114d(ln(...