Let f: R->R be a continuous function that is convex on (-∞), 0] and [0, ∞)) and has a local maximum at the point 0. Prove that the function f is not differentiable at the point 0.

Q: Find the sum of the series. n=1

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Q: (x+68y)e dydx %3D 1J0

A: This is a problem related to double integration. based on the general formula of integration we will…

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Q: a ER メ 2 12

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Q: Question No.5 Discuss the concept, advantages and disadvantages of Gaussian Quadrature in numerical…

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Q: Find the area of the triangle whose vertices are given below. A(- 5,3) B(2,– 5) C(10,- 5) The area…

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Q: Evaluate the integral of F(x,y) = x^2 y^3 in the rectangle with vertices (5,0);(7,0);(7,1);(5,1)…

A: We have to evaluate the integral of F(x, y).

Q: Solve triangle ABC if LA = 41.4, a = 186.2, and b 244.4. %3D %3D sin B = %3D

A: answer is in next step

Q: Write the system of equations corresponding to the augmented matrix. Then perform the row operations…

A: This question can be solved using the concept of augmented matrix.

Q: x = 3 is a critical number of the function f(x) = (x+ 3)(x - 3)2. Select one: True O False

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Q: Which of the following statements is true about the function f(x) = a3 + 6x2? a. None of these. O b.…

A: Solve the following

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Q: The dimension of the vector space P3 is equal to: Select one: O 5 O none of the others O 2 O 4 O 3

A: We have to find the dimensions As per guidelines we have to solve one question Please repost other…

Q: Evaluate the summation 5/32 31/32 93/80

A: This question is based on summation.

Q: Find the area of the triangle whose vertices are given below. A(- 3,5) B(3, - 2) C(10, – 2) The area…

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Q: sin 4.x if x > 0 Suppose f(x) = {0 if x = 0. Find f'(0) using the definition of derivatives. x+4x if…

A: We have to find f'(0).

Q: Use the Alternating Series Test to determine whether the alternating series converges or diverges.…

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Q: Find the radius of convergence and the interval of convergence of the series. (-1)" (2n – 1)2" (x –…

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Q: Express the number as the ratio of two integers. 0.8333333 ... 3 3

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Q: An airplane flies east for 200 miles before turning 600 south and flying for 100 miles. What are the…

A: Solved below.

Q: The graph of the derivative y = f'(x) of f(x) is given below. According to the graph, we have f(0) >…

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Q: Why does the graph of x2 + y2=4x has it's center at point (2,0)? and not (0,0). And how to try to…

A: Here equation we have given is of a circle : x2+y2=4x.

Q: Evaluate the line integral. The simple curve is C is y = x² starting at (0, 0) and ending at (1, 1).…

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Q: Let C(x) be the cost, in dollars, to produce x gallons of gelato. What is the meaning of C'(5) = 4.5…

A: Given, C(x) is the cost in dollars. x is the gallons of gelato.

Q: Which formula would be used to calculate the left rectangle approximation of o 4xdx using five…

A: We need to choose correct option.

Q: Consider the function defined by 1 g(x, y) = cos (Tx Vy) + log3 (x – y) Calculate the instantaneous…

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Q: (b) Find the values of a and b so that the function f(x) = x² + ax + b has a local maximum at the…

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Q: 4. A decorator, who is a monopolist, makes two types of specialty picture frames. From experience,…

A: Let's find.

Q: The state of decay of radium is proportional to the amount present at any time. Suppose that 400 mg…

A: Here we will find radium left after 2.5 hours and 10hours,

Q: 1 - 5e -jwt dt + 5e -jwt dt -1

A: integration

Q: Consider the curve C of equation (x² - y + y?)2 = x² + y? . Among the indicated options, select the…

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Q: Suppose Im(f(z)) = 6x(2y -1) and f(0)= 3 -2i, f(1) = 6- 5i. Find f(1 + i)

A: Complex function

Q: Find the Taylor polynomial of order 3 generated by f at a. f(x) = x? + x + 1, a = 5 O P3(x) = 1 +…

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Q: (a) Find an equation for the total surface area of the material to be used to make the tent (b) If…

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A: answer is in next step

Q: 6. (A) not a function (C) function; domain: [-1,0] (B) function; range: R (D) function; domain: [-1,…

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Q: 8. dx x² + 36 0.

A: The given integral,        ∫08x3x2+36dx

Q: Calculate the volume of the rotating object that occurs if the area in the first quadrant is bounded…

A: Calculate the volume of the rotating object that occurs if the area in the first quadrant is bounded…

Q: The correct choice to draw lines from point (160,120) to point (160,250) is 40,250 160,250 260,250…

A: Given problem:-

Q: 19. (h o g)(2) 5. (A) 10 (C) 3+ v2 (B) 2/2 +1 (D)

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

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A: topic - application of trigonometry

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Q: 1. Express A = (3, 1, –1) as B+ C, where B is parallel to the vector (1, 4, 2) and C is…

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Q: What is the square root of -5?

A: Here we have to find the -5

Q: Given f(x) =x2- 1, find the value f(2)

A: Given f(x)=x2-1

Q: Work Problem 3 ' a) Determine whether the series is convergent or n3 + 4n + 5 n=1 divergent. b)…

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: