Find the divergence of the vector field F. F(x, y) = 5x + 3y²

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Q: h(x)=-ln(x+2)

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Q: 8)In the following questions, determine the behavior of h(x)=7x3+6x−x3+10x.

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Q: 3-8 Test the series for convergence or divergence. dhe tadt Hour 3.- + - + 1

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Q: In Exercises 33-36, find the arc length of the graph of the parametric equations on the given…

A: (33).The given parmetric curve is:x=-3sin(2t)       and       y=3cos(2t)       on  0, π

Q: cricital numbers of f(x): ng the second derivative value test, list the critical point(s) that can…

A: f(x)=x4(x-3)7 Critical points can be calculated using f'(x)=0

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Q: (1 point) Consider the following function, f(x), on the interval [5, 9]. Absolute Maximum 1. Find…

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Q: Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral. 2…

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Q: K Find the payment made by the ordinary annuity with the given present value. $76,492; monthly…

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Q: Use Fubini's Theorem to evaluate the double integral ff f(x,y) dA, where f(x, y) = 3x + 3x²y +9y and…

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Q: √32 [ { (2) dy d su y arctan 1

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Q: What is the expansion of the series Σ 3*+1? n=1 9+27+81 +243 9+12+15+18 3+9+27+81 3+6+9+12

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Q: Does the graph of the function below have any horizontal tangents in the interval 0≤x≤2x? If so,…

A: To determine whether the function below have any horizontal tangents in the interval 0≤x⩽2π. If so,…

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Q: An open rectangular box (no top) is formed with a square base and rectangular sides so that the…

A: Solution is given below:

Q: equation, find dy/dx evaluated at the given values. y²-x5= = -7 at x = 2, y = 5

A: Topic:- application of derivatives

Q: Given the series: Σ(-1) k does this series converge or diverge? converges diverges If the series…

A: We can solve this problem by using Geometric series test or Cauchy's nth root test.

Q: h(x, y) = In In (1/2¹)

A: Find below the given  elaborated solution

Q: 3. Triple Integrals in Cylindrical and Spherical Coordinates a) Evaluate b) Evaluate R x²dV where R…

A: Concept: Integration by parts: ∫f(x)g(x)=f(x)∫g(x)dx-∫f'(x)∫g(x)dxdx The cylindrical coordinates…

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Q: If f(x) = = f'(x) = 5x² tan r sec x Find f'(5)= " find

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Q: Find all pertinent information and sketch the graph of f(x) = x²-2x x²-4 Find all asymptotes: HA:…

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Q: Find the derivative of the function. h(t)

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Q: Evaluate the expression. log 6274 log 6274= (Simplify your answer. Type an integer or decimal…

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Q: Find the derivative using the chain rule of the following: 4 f(x) = (1+x4_. NO NEED TO TYPE IN YOUR…

A: Topic - Derivative of a function We are given, f(x)=1+x4-1x53formulas used:chain…

Q: A polynomial function is given. Q(x) = -x²(x² - 4) (a) Describe the end behavior of the polynomial…

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

Q: 1. f(x)= sqrt(x^2-4) Where is the function positive? A) [0, infinity) B) (2,infinity) C) (0,…

A: 1) Given: sqrt(x2 - 4) we know that square root is not defined for negative input as we will get the…

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A: NOTE: Refresh your page if you can't see any equations. . the initial temperature of the turkey is…

Q: Using the mathematical expression of the definition of the derivative, as you learned find the…

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Q: Use Fubini's Theorem to evaluate the double integral ſƒ ƒ(x, y) dA, where f(x, y) = 8x² − 4x²y²-y…

A: Answer: The solution is given below:

Q: Answer the following Questions: 1. Evaluate the integral using partial fractions method: S 3x²-4x+7…

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Q: Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of…

A: Topic - Application of derivatives We are given Cardboard of dimensions 19 in. by 11in.andwe know…

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Q: log7 (x + 2) + log7 (x - 4) = 1

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Q: Samasin Fasin Bada

A: We have to find out

Q: Sketch the region of integration and evaluate by changing to polar coordinates: 1/2 1,x² ¹/² √¹-2²…

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Q: Find y" for y = -2(x²+6)3 y" = x

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Q: The function f(x) has a continuous second derivative, and it satisfies f(-9) = -1, f'(-9) = 0 and…

A: use the second derivative test to check the correct answer

Q: What is the exponential function of the graph shown below? Provide your answer below: f(x) = -2. -2…

A: Given graph

Q: In Exercises 17 – 18, sketch the ellipse defined by the given equation. Label the center, foci and…

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Q: Consider the series 1 1 1 1+ + + 6 36 216 a. What type of series is this? Select an answer b. If…

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