Mark the critical points on the following graph. z² xe 8,702 2808- 2106 1404- 702 -7 -6 -5 -4 -3 -2 -1 -702 -1404- -2106- -2808- 1 2 La 10

Q: Consider the following ordinary differential equations: (a) dữ = (2 +2)(2 –3), (x

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A: The objective of the question is determine domain and range of the given function.

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Q: write a polynomial in expanded form that has zeroes -5, 0, and 2/

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Q: [ (2² +102)e ³r 5x Evaluate the indefinite integral: [(2².

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Q: 9 What is the value of k in the equation [(3√x² +5√x¹³) da dx = ² 28 + 25 ထ xk + C?

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Q: (a) Complete the table below given f (x) Round your answers to four decimal places. H -1.1 f(z)…

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Q: Let f(x) = 4x + 1 f¹(x)

A: Given query is to find the inverse of the function.

Q: A. Using the definition of limit, show that lim-∞ 1/ n³ = 0 and that limm- 1 / n¹/5 = 0. 3. Using…

A: Disclaimer:  “Since you have asked multiple question, we will solve the first question for you. If…

Q: Find the limit of the rational function (a) as x→∞o and (b) as x→∞0. 2x³ +7 5 x5-x²+x+2 f(x)= 5 2x +…

A: First simplify then apply limit

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Q: What is the exact value of 0-(2-√3) O-(2+√3) 2-√3 02+√3 tan ·? 12

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A: Explanation of the answer is as follows

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Q: Let y = cos(2x) 9x²+3 Calculate dy dx

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Q: Verify Green's Theorem by evaluating both integrals [ 1² dx + x² dx = √ √ √ (²-8²) CA dy - /…

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Q: What is the value of k in the equation (7* - 3e)dx = k·7* - 3e + C?

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Q: Given x = 5 and x = rest of the zeros of the function. X = - 2 are zeros of the polynomial f(x) = x¹…

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Q: 10. You are given the graph of y = F'(x), [the derivative of F(x)]. Answer the following questions…

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Q: 7π Find the area of the sector of a circle of radius 9 units subtended by an angle of radians. Round…

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Q: Determine f(x) from the table: x f(x) -1 0.1 0 1 1 10 2 100 1. f(x) = ex 2. f(x) x 10 3. f(x) 4.…

A: option (5) is correct. see below the explanation

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Q: At what points is the function y = x + 4 2 x -5x+4 continuous?

A: Rational function is continuous at all points where its denominator is not equal to 0. If its…

Q: 4. * y = tan (5x³)

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Q: Find the value of the function f(x) = 3(2¹-³) at x = 5. 1. f(5) = 36 2. f(5) = 7773 3. f(5) = 87 4.…

A: Given function is     f(x) =3(2x-3) put  x=5 in the given function  f(5) = 3(25-3) f(5) = 3×22f(5) =…

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A: We have to find the interest rate.

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Q: Compute gxxyz for g(x, y, z) = x¹y¹z6. (Use symbolic notation and fractions where needed.) 8xxyz =

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Q: The gradient of a curve is given by the gradient function f'(x)= x² + known for the curve f(x) that…

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Q: esti + 3 sin(t)j + tk and c₂(t) = e-8ti + 2 cos(t)j - 8t7k. (Enter your solution as a single vector…

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