Find the local maximum and minimum values of fusing both the First and Second Derivative Tests. (If an ans X f(x) = +²+1 local maximum value local minimum value DNE DNE X X

Q: Find and classify the critical points. 12 H(£,y)=re +y* – 12,

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Q: Factor each of the operator: SHOW YOUR COMPLETE SOLUTIONS 1.) 2D²5D-3 2.) 3D² + 7D + 2 3.) D³4D²+D+6

A: The factorization is done by splitting the middle term of the quadratic polynomial/operator.

Q: 4. Solve, x+3 11 = 3 x + 8

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Q: Sketch the region of integration, reverse the order of integration, and evaluate the integral. 11 11…

A: I=∫011∫y11x2exydxdy

Q: Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the…

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Q: h(x) = 4x x² + 6x + 8

A: h(x)=4xx2+6x+8

Q: Evaluate the limit at -infinity. (If an answer does not exist, enter DNE.) t 4t² + 1 lim t→-∞

A: Consider the limit

Q: Evaluate the following integral. 1/5 1.1 0 x tan¹ (5x)dx

A: To evaluate the following integral.

Q: A ship's course is set at a heading of 192", with a speed of 30 knots. A current is flowing from a…

A: Velocity of ship is 30 knots with angle 192°And velocity of current is 14 knots with angle 112°. We…

Q: Find the critical numbers and absolute extrema for y = answer does not exist. The critical number is…

A: Consider the function

Q: Complete the table. y = f(g(x)) y = (6x - 1)4 u = Need Help? Read It u = g(x) y = f(u) =

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Q: Find the absolute max and min values of f and state where those values occur f(x) = 1 + 19 = x² ; […

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Q: Find the derivative a. f(x)=(xex)pi b. f(x)= [arctan(2x)]10

A: (a)

Q: 00 Consider the series Σ (19x)" n=0 (a) Find the series' radius and interval of convergence. (b) For…

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Q: Use the transformation x = au and y = bu to find the area of an ellipse with equation + = 1. (Hint:…

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Q: Find the derivative a. f(x)= square root of ((2x+5/7x-9)) b. [(x^2-1)^5-x]^3

A: We are supposed  to answer only one question  as given question  is not a sub part of the first…

Q: 1. Power Rule: d dx Special Case of this: (x²) = nx" 4. Quotient Rule: n-1 U ( ² )' = d dx 2.…

A: C(x)= (5 x-2 )( 3 x2+ 4 x)We have to find marginal cost and for this we have to differentiate C(x)…

Q: a) Find an equation of the tangent line to the curve at the point corresponding to the given value…

A: Consider the parametric curve

Q: Find equation of the tangent to the curve at the given point x=t^2-4t, y=t^2+4t+1; (0,33)

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Q: (a) y = x³+3* - 1 3√x + 3 csc (3). (b) y = a + bx² x4

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Q: Consider the following. f(x, y) = 4x - 2y (a) Find f(4, 5) and f(4.1, 5.05) and calculate Az. f(4,…

A: Consider the function

Q: Practice 1: If tan y = x where sec² y write X 1300 (1) in terms of

A: If where write  in terms of x.

Q: Evaluate the following limit. Use l'Hôpital's Rule when it is convenient and applicable. lim (15 tan…

A: y=limθ→π2−(15tan⁡θ)15cos⁡θ

Q: Given √√² + 4y = x, find Answer Attempt 3 out of 4 dx in terms of x and y.

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Q: The surface area of a cube is increasing at a rate of 489.1 cm²/s. At what rate is the side length…

A: The surface area of a cube is increasing at a rate of 489.1 cm2/s.To find the rate at which the side…

Q: Find the derivative of the function. y = cos( cos(√sin(tan(7x))) y' =

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Q: 8 Find the sum of the series Σ η = 1 20 (5η – 3)(5n + 2)

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Q: Use the Shell Method to find the volume of the solid generated by revolving the region bounded by…

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Q: roblem #1: Use Stokes' Theorem to evaluate F-dr where F = (x+52)i + (6x+y)j + (9y−2) k and C is the…

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Q: on Find an equation for the function f(x) whose derivative is f'(x) = 4sin(8x) and whose graph…

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Q: The mass of a length of wire is m(r) = x(1+2√7) kilograms, where r is the length of the wire…

A: The mass of a length of wire is  given by

Q: Solve (40x23) 2 3 4 - 13 7/2 - = 19 936 19 78 19 12 32/2

A: Consider the equation

Q: Let f(x) = -9e- f(15) (0)

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Q: 4. Find bound on the error Trapezodol Rule Simpsons Rule S_₁x dx;n=10 X -1

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Q: The circumference C of a circle is a function of its radius given by C (r) = 2πr. a. Express the…

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Q: -6 -5 -4 -3 -2 -1 5 4 3 2 1 -2 -3 -4 -5 −6+ 1 2 3 4 5 6

A: The slope of a line parallel to the X axis    is 0 .

Q: Find the local maximum and local minimum values of f using both the First and Second Derivative…

A: Explaination of the answer is as follows

Q: X Suppose that R is the finite region bounded by f(x) = √√x and ƒf(x) = = Find the exact value of…

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Q: sider the ction or a pen to enclose an rea. You have 400 ft of fencing to make a pen for hogs. If…

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Q: 1. xaxy - 4y = x6 ex dy dx

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

Q: 18. The graph of the function f shown in the figure to the right has a vertical tangent at the point…

A: A graph of the function is given.The aim is to find the points in the interval  for which  is not…

Q: Knowing that cos(22.5 deg) = (1/2)(square root of 2 + (square root of 2)), find the exact value of…

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Q: at least 9. Graph four steps, y = [x] also called y = int(x)

A: In this question, we will draw the graph of the greatest integer function.

Q: You will integrate the following rational function: -5*²+*+13 da (*-1)² (+2) To do this, start by…

A: To evaluate the integral

Q: The following limit results in 0 when you first try to plug in the limit value. 0 Complete the steps…

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Q: What is called a quadratic equation and give 3 examples by calculating its factors with detailed…

A: I have appended the formula used in the solution procedure

Q: Derivative Rules: 1. Power Rule: (2”) = n d dx Special Case of this: (√T) 4. Quotient Rule: (²) ₁- V…

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Q: . A ship's course is set at a heading of 192°, with a speed of 30 knots. A current is flowing from a…

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Q: Find a formula for the nth partial sum of the series and use it to determine if the series converges…

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Q: To find the arclength of y = 2x² + 2 from x = 0 to x = 5, which is the correct integral? 5 ²-√³ OL=…

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