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Q: Sketch the graph of a function f for which f(0) = 0, f'(0) = 3, f'(1) = 0, and f'(2) = -1. y y -1 -1…

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Q: Which derivative rule(s) were used to develop: "So rate of change of average cost is given by A'(x)…

A: Let's solve.

Q: g(x) = a sin²(x)+1 kx+1 2x+1 if x < if x ≥ π 22

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Q: = (1) cotr 1+csc.x

A: We will find the required.

Q: waluate the triple integral III. zdV where E' is the solid bounded by the cylinder y² +29 and the…

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Q: 2x4 1+x² a) [: dx b) [ cos² cos² 2x dr

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Q: -9y+7z = 5 -11x + 17z = -4 13x + 18y = 4

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Q: 13. x cos2 y dx + tan y dy = 0.

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Q: 1. Let z = f(x, y) = -tan x + y² + eysin. (a) Use local linear approximation to approximate the…

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Q: The root of e^x-2 is known to exist in (0,2). Find an approximate value of the root within a…

A: The given function is fx=ex-2 which has a root in the interval 0,  2.

Q: Check the exactness and obtain the general solution y'=x^3 - 2xy

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Q: 8) Draw four squares adjacent to each other. The first square has a side length of 2 units, the…

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Q: Sove ex-dx + e- xdy = 0

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Q: If y = √4x²+2sin-¹ A. 2-x 2+x A. 0 B. 2+x 2-x ,then y' equals, C. . Find d if y = arcsin√2x +…

A: Topic- Derivative of a function we are given y=4-x2+2sin-1x2and y=arcsin2x+arccos2xwe know…

Q: If f(x) = x+3 and g(x)=x²-2, find the following. a. f(g(0)) c. f(g(x)) b. g(f(0)) d. g(f(x))

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Q: 14. Find a y=r³ parametrization for the path that travels along the graph of z from (-1,0) to (1,0).

A: To find the parametrization of the path that travels along the graph of y=x3-x from (-1,0) to (1,0).

Q: Problem 4. Calculate each of the following indefinite and definite integrals. Remember that you…

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Q: Find an equation of the line that contains the given pair of points. (17, 22), (4, 9)

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) √er (5 + 6e 6e)7/2 dr

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Q: traveling? 66. A patient placed on a restricted diet is allowed 1300 calories per day with a…

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Q: Find the solution of the IVP: (1 + y cos x) dx - sin x dy = 0, y(1/2) = 1. Then, evaluate y(1.603).

A: This question can be solved using the concept of linear differential equation.

Q: Given the following piecewise function, evaluate f(-2). f(x) = Provide your answer below: f(-2)= 3x…

A: We have given piecewise function  fx=-3x+8  for x≥-2 Put x=-2 f-2=-3-2+8 f-2=6+8 f-2=14

Q: Differentiate. f(x) = 8 e 6x f'(x) = [

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Q: (d) t³y + 4t²y=et, (e) ty' + (t+1)y=t, y(-1) = 0, -1≤t<0 y(ln 2) = 1

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Q: Find y' of tan(x²y4) = 3x + y²

A: NOTE: Refresh your page if you can't see any equations. . take derivative on both sides

Q: Find the volume V obtained by rotating the region bounded by the curves about the given axis. y = 5…

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Q: y= Cix2 + Cze' C₂e² 2X

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Q: Use the substitution a = 2 sect to evaluate the integral dz

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Q: e. When is the greatest common factor of two numbers one of the two numbers? Explain your reasoning.

A: Given :   When is the greatest common factor of two numbers one of the two numbers

Q: What is the solution of 3x² + 6xy2 + (6x²y + 4y²) y = 0 ? O 3x³ + 9x²y² + 4y³ = C O 3x² + 12x²y² +…

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Q: Match the correct graph to the function without using your calculator. Then, if you have a graphing…

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Q: Cost, revenue, and profit are in dollars and x is the number of units. Suppose that the total…

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Q: 18. Let P be the curve that follows the helix r = sin / from (1,0,0) to COS / (,), and then returns…

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Q: 6 $ 4 3 = da 2 1 -6 -5 -4 -3 -2 -1 4 -2 -3 -4 The graph above is a transformation of the function…

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Q: Determine the interval (s) on which the vector-valued function r(t)=ti+(sqrtt+1j)+(t^2+1)k…

A: The answer is given below:

Q: Let h(x) = tan (2). Which of the following best describes its fundamental algebraic structure? A. A…

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Q: h (s, t) = t²ln(s²) + √√SA

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Q: Find the domain of the following function. Give your answer in interval notation. Provide your…

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Q: Find an equation of the line that contains the given pair of points (13, 18), (0,5)

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Q: Let F(t)=sin(5t)i+2tj+t^3k and G(t)=t^6sin(5t)i+t^3j+5 ln(6t)k,find F(t)×G(t).

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Q: Solvex -3x 256x-2x Express your answer in interval notation:

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Q: y = C₁ e²x cos 3x + C₂e²x sin 3x

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Q: Find the derivative of each of the following. A) f(x)= 125 5x B) g(x)=x³5x g'(x) = C) h(x) = log 5 x…

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Q: III. A. Test the given function for its homogeneity. If it is homogeneous function, give its degree.…

A: I am attaching image so that you understand each and every step.

Q: show complete solution

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Q: Find the inverse of the matrix A, if it exists Show A=-407 030

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Q: Find the domain of the following function. Select the correct answer below All real numbers except…

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Q: < For y = 174√√x, find dy, given x = 9 and Ax = dx = -0.14. dy = (Simplify your answer.)

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Q: Solve triangle ABC. (If an answer does not exist, enter DNE. Round your answers to one decimal…

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Q: Let f(x)= -6 cos x + 6 tan x Find ‘(x) Find ‘(π/3) My results were the following: f’(x)=…

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