Find the critical numbers and absolute extrema for y on the interval [0.5, 2]. Type DNE if an answer does not exist. The critical number is æ = The absolute maximum(s) is/are at a = The absolute minimum(s) is/are at a =

Q: Determine whether the integral is convergent or divergent. xp x2 + x - 12 convergent O divergent If ...

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Q: 16. а — - (V3, 1), ь %3 (0, 5) b = (0, 5)

A: Given query is to find the angle between the Indicated vector.

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Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers a...

A: Given,            The line passes through the point -1,4,-8 and is parallel to v=4i-j.To find : Find...

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A: Given  simplfy  

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A: We simplify the expression to understand why is the result negative.

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A: Given  elasticity    find q' 

Q: 6. List two similarities and two differences between natural logarithms and common logarithm

A: Natural logarithm is denoted as 'ln' and common logarithm is denoted as 'log'.

Q: Given that log(5) ≈ 0.6990 and log(4) ≈ 0.6021, find the value of the logarithm. log(5/4)

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Q: 7. y = 4 e2x, 4th derivative 8. y = -5 e3x^2, 2nd derivative 9. y = 7 In 7x, 2nd derivative

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Q: Find the minimum and maximum values of the function f(x, Y, z) = 3x + 2y + 4z subject to the constra...

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Q: Use the graph to solve x* + x³ – 7x² – x + 6 > 0 y 12 -4 -2 0 4 x -6 12 y=x + x* -|7x² – x + 6 O x2-...

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Q: expenditures were $1588.08 billion in 2002. a. Find a function that gives the total expenditures x y...

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Q: 1. Evaluate these integrals either by substitution or by integration by parts: cln 2 et a sin(2r) dr...

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for yo...

Q: Find the indefinite integral and check the result by differentiation. dt F--3-3)- 8. 12

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Q: Calculate the derivative using implicit differentiation: dw x'w + wt + wz² + 4yz = C dz ||

A: Given problem:-

Q: termine whether the series converges or diverges. Explain your answer. Σ 7 + sin(n) n = 0

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Q: Sketch the region bounded by the given curves, then find the centroid of its area. 1. y = 12 – 3x2 ,...

A: Centroid of the region :            x = 1A∫ab fx-gx dx  and  y = 1A∫ab 12fx2 - gx2 dx               ...

Q: Evaluate the iterated integral by converting to polar coordinates. –x² (x² + y?j3/2 dy dx dr de =

A:  Solution is given below...

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Q: Sketch the region enclosed by the given curves. y = V5x, y = y 4 2 -30 -20 -10 10 20 30 -4 -30 -20 -...

A: The given curves are y=fx=5x3y=g(x)=15x

Q: Radioactive decay. The radioactive element polonium decays according to the law given below where Qo...

A: Here given that  Q(t)=Q0 × 2-t140 where t is measured in days.

Q: Find the limit as a number, o, or -o. Otherwise enter DNE. lim VnV5n+1 - V 5n |- [(u5

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Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by ...

A: Here we have to find the volume generated by rotating the region bounded by the given curve about y=...

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Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers a...

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Q: Find the general solution of the differential equation. (Use C for the constant of integration.) dy ...

A: We know, ∫ dx/xn = x(-n+1)/(-n+1) +C , C is a constant and for any real number n.

Q: (2x – 3y +1)dx – (3x+2y-4)dy = 0 %3D

A: The objective is to solve the above differential equation.

Q: 2. Derive the Maclaurin series for cos-(5x) as far as the term in x. Hence evaluate cos (1) to 4 sig...

A: Let's find. 

Q: Use the limit process to find the area of the region between the graph of the function and the x-axi...

A: here we can see that the  graph is between 2 to 4 so the first column graph is right  but from equat...

Q: Determine whether the integral is convergent or divergent. 7z2 In(z) dz convergent O divergent If it...

A: To determine: Whether the integral is convergent or not. Given information: The integral is ∫027z2ln...

Q: 8. ye = In(xy) 9. (y- 5)? = 8(x – 3) _10. 2x – xy +y = 0

A: We can solve this as follows:

Q: Evaluate the definite integral. Use a graphing utility to verify your result. 9. OShow My Work (Opti...

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Q: Let F(x) = f(x)+ g(x)e\ + h(x)e²× + C be the antiderivative of G(x) = (x+ e*)“, Determine the value ...

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Q: Find a polynomial of degree n that has only the given zero(s). (There are many correct answers.) x =...

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Q: Determine the equation (of lowest degree possible) for the graph shown You may leave your answer in ...

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Q: Rectangular and Polar Form of e(5-j5)^(12.44-j8.39)

A: Given expression is: e(5-j5)(12.44-j8.39)  We have to find its rectangular and polar Form.

Q: The velocity of a car is f(t)=7t meters/second. Use a graph of f(t) to find the exact distance trave...

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Q: 5. (a) Complete the following unit circle. 0 or 27 11л 6 (b) Use the unit circle above to evaluate e...

A: on circle unit are angle        unit 0              (1,0) π/6          (0.866 , 0.5) π/4          (0...

Q: Consider the following function. f(x)= In(x)/x a) Determine the interval(s) where the function is co...

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Q: Find an equation of the plane with the given characteristics. The plane passes through the point (8,...

A: The objective is to find the equation of the plane. 

Q: y ev = z - 1: y (2) = 0 O = In(z² – 2x + 1) O = In(z? – 2z) + C O = In(z² - +1) O = In(z² – 2z)

A: The differential equation is given by yy'ey2 = x-1 The initial condition is given by y2 = 0 To evalu...

Q: dP to find the solution to the problem dt K 7. Use P = 4P Р() — 4. 1 - 1+ Ce-at 20

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Q: 1. Evaluate > (9 × 10-*) if possible. If not possible, explain why. As part of your solution, state ...

A: Given: ∑k=1∞(9×10-k)

Q: 9. The velocity, in kilometers per hour, of a car as it beings to slow down is given by the equation...

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