IF y = u+ + 3u2 & u = 3x Find dy dX

Q: 2. √√√x + y + xy = 21

A: We have to find out derivative

Q: Find the critical points c for the function f and apply the Second Derivative Test (if possible) to…

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Q: lim 2 x²-9 2 x² - 4x +3 where c = 0 and 1

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Q: 2 4 cot 4 x dx

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Q: Determine the intervals on which f is increasing or decreasing, assuming that given figure is the…

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Q: Given than [(x) f(x) dx = 7 and f (x) da = -5, which of the following is NOT TRUE 6 ® [f(x) dx =…

A: Given that ∫-23fx dx=7 and ∫36fx dx=-5, then to determine which of the following is not True.A…

Q: Consider the function. 700----14 Identify the domain off. (Give your answer as an interval in the…

A: We need to fill answers.

Q: Activity 1. Determine the antiderivatives of the following functions. 1. f(x) = (x + 1)100 2. f(x) =…

A: 1. fx=x+11002. fx=x2+x102x+13. gx=x31-x4 Note:    Multiple parts are given, we are answer only three…

Q: in one polar plane, plot the following points a.) (4, "/3) b.) (-3,- SE) d.) (2₁-77) 4 e.) (-1.5,…

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Q: Question 1 A triangular trough is 10 ft long, 6 ft across the top, and 3 ft deep. If water flows in…

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Q: The general solution to the second-order differential equation 5y" = 8y' is in the form y(x) =…

A: Given,5y''=8y'That is5y''-8y'=0

Q: (6xty2) dx ty (2x-3y) dy = 0

A: To solve the given exact differential equation.6x+y2dx+y2x-3ydy=0

Q: ) Write a MATLAB code for solving the following equation : N Y = [i+x i=1

A: MATLAB code

Q: yields y'= 38263752. This means that when x-6 the function y: A) Decreases at the rate of 4782969…

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Q: f(x) = 9x²

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Q: Analyze and sketch the graph of the function. Label the lines and points indicated on the graphs.…

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Q: C. Graf the function of y-5x" if n=3 1. O 1 2 2. y = ax",

A: let see how the graph of y =5x3 looks like

Q: Find the lengths of the curves in Exercises 1-2. If you have a grapher, you may want to graph these…

A: Concept:  For y = f(x) in the Cartesian coordinates defined on interval a,b  The curve length is…

Q: 6. Use a change of variables to evaluate | 23e2x4+7 dr.

A: Solution is given below..

Q: For the function, find the points on the graph at which the tangent line is horizontal. If none…

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Q: A tumor is injected with 0.5 grams of Iodine-125, which has a decay rate of 1.15% per day. Write an…

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Q: The equation N (t) 500 models the number of people in a town who have heard a rumor 1-49e 0.7t after…

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Q: x Let a and b be positive real constants, and let y = f(x) such that tan ay statements is TRUE? O dy…

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Q: For what values of x does the series below converge? What is its sum? What series do you get if you…

A: We have to find the sum and derivative of the series.

Q: Consider the differential equation 2xy" - 3y + 3y +³/4 = 0 (1) It turns out that y₁ = r is a…

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Q: etch the region enclosed by y = x²y = √√x,x = 0,x = 1 and find its area.

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Q: 6. Let f(x) = x³ + 6x² - 15x - 10. a) Find the intervals of increase/decrease of the function. b)…

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Q: 25 2=9. - Maximize Q=xy, where x and y are positive numbers such that x +- and y = The maximum value…

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Q: )+ (% 7 A- 9 11 O A О в О с O D 6. 12 34 1 0 5 67 B. [8 20] с. 11 D. None of them

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Q: 1–2 = For each of the following functions given by power series, find f'(x) and f f(x) dx. Do not…

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Q: f sech³x tanhx dx

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Q: f(x) = 9x - 4 ln(x), x>0.

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Q: What are intervals of concavity of the function f(x) = 2x³ 2x³ - 6x² - 3 ? Concave upward on (-1,…

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Q: B/ Find the value of 18 194i 1. + 13 13 O 1 02 (11+5i) (8-6i) (3-21) (1-21) 2. 13 18 134i 1193

A: This question is based on rationalization of complex number.

Q: For the F(x) function shown in the figure, find P(0<x<0.5)

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Q: -1 1 3 Evaluate the following limits. Write dne if the limit does not exist. lim f(x) = x-1 lim f(x)…

A: We have to find the limits.

Q: Given the function y = 2x³ - 4x² + 5, find its derivative.

A: Topic = Derivative

Q: Find the area bounded by the parabolas y2 = 4x and x2 = 4y

A: Given curve: y2 = 4x and x2 = 4y To find the area between y2 = 4x and x2 = 4y First find the…

Q: Evaluate 3 (9x² - (0x+6) dx 2

A: Given query is to find the value of the integral.

Q: (D³ + 2D² - 5D - 8)y = 0, when x = 0, y = 0, y = 0, y" = 2

A: Given

Q: Use power series operations to find the Taylor series at x = 0 for the following function. 8x ex The…

A: Taylor series function y=8xex at x=0

Q: Which of the following is NOT true about the curve * y = x3 – 5x2 + 2x+8? (-1,0), (2,0) and (4,0)…

A: The given function is: y2=x3-5x2+2x+8y=±x3-5x2+2x+8 If a function is symmetric with respect to the…

Q: You intend to conduct a test of homogeneity for a contingency table with 5 categories in the column…

A: answer is in next step

Q: Given the function defined by f(x) = 3x² - 4, find f'(2)

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Q: ator of a sphere, parameterized by spherical coordinates 0, and p. Let "north" point to the top

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Q: 2. (5 pts.) If f(x) = xºex, find f'(x) and f'(1).

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Q: t = 3 ds ml

A: Solution of the problem as follows

Q: Find for each pair of functions. dy dt y=x² - 6x₁x=t² +1 dy * dt

A: Solving the problem by doing the derivative.

Q: What are the applications of these derivatives?

A: First derivative tells the rate at which the original function changes.  Second derivative tells the…

Q: Find the 2nd and 3rd derivative of the function y'= 3x^2y^2 with respect to dy/dx

A: Find the 2nd and 3rd derivative of the function y'=3x2y2with respect to x