Find the indefinite integral. (Note: Solve by the simplest method-not all require integration by parts. Use C for the constant of integration.) Ta xe²x (2x + 1)2 dx

Q: Find the minimum solution z(x) = 2x^3 + 3x^2 -12x +5 in the interval of [0,4] using newton's…

A: the root of function is calculated by below method

Q: For the given function f(x), the point c, and a positive number e, find L= lim f(x). Then find a…

A: Let's find value of L.

Q: CLASSIFICATION OF DIFFERENTIAL EQUATIONS Classify each of the following differential equations by…

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Q: 22) Solve the following differential equations. 1) + y² -4 = 0

A: Since you have posted multiple questions i can do first question as per our company guidelines,…

Q: Find all the second-order partial derivatives of the following function. 2 2 w = 2x tan (x

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Q: Problem 4: Find lim 818 1 -2.3 + 1 2.3.4 + ... + 1 2.(n+1).(n+2),

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Q: 2. The position function of an object is given by s(t) = 2t³ - 3t² - 12t + 8 where t 20. a) Find the…

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Q: 3. Directrix is x = 2 and the focus at (-2, 0). Equation in standard form: Opening/Concavity Vertex…

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Q: -23+-13

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Q: Let g(x)=(x-2)^2, and h(x)= |2x|+4 Translate these functions up by 1 unit and to the left by three…

A: Given, gx=x-22hx=2x+4

Q: Find d'y If y = x (05 (8x) - Sin²(x) dx ² 2

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Q: A wireless phone company has a pricing scheme that includes 300 minutes' worth of phone usage in the…

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Q: I. Using the trapezoidal rule complete the following. a. Estimate the integral with n = 4 steps.…

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Q: Find the rule of a quadratic function whose graph has the given vertex and passes through the given…

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Q: Q1/ Find of the following functions dx 1) y=²-1 and x=21+3

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Q: Tim √x-2 X-74 X-4

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Q: The cost (in dollars) of producing x units of a certain commodity is C(x)=4,571 + 15x + 0.04x². Find…

A: The cost of producing x units is Cx=4,571+15x+0.04x2 We have to find instantaneous rate of change…

Q: Q3/ Use the l'Hopital's rule to find the limits 1-sine 8-π/2 1+cos20 3) lim

A: limθ→π2 1-sinθ1+cos2θ

Q: Is the graph of r(x) = 4x³ - 2x² + 9x - 2 concave up or down at the point with x-coordinate -1?

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Q: 2ly² - 4y + 5x = 21 FIND Y'

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Q: Under High order linear differential equation Solve: 4y" - 20y' + 5y = 0 Given y (0) = 2;

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Q: * Partial differential equation is an equation that includes single derivative 0 Draw Derivatives 0…

A: A partial differential equation (or briefly a PDE) is a mathematical equation that involves two or…

Q: Use a graph off to estimate lim f(x) or to show that the limit does not exist. Evaluate f(x) near x…

A: The given function is: fx=1-cos2x-25x-12; a=1 (b) To evaluate f(x) for values of x near 1 to support…

Q: Find the PS of y' 2 cos²x - sin² x + y² 2 cos x y(0) = 1984

A: Given y'=2cos2x-sin2x+y22cosx and y0=1984

Q: Find the curvature of r(t) = (5t, t², t³) at the point (5, 1, 1). 9842722 K= X

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Q: Evaluate J√sin a 3 sin x cos³x dx.

A: Need to evaluate the integration.

Q: Simplify cot(t)/csc(t)−sin(t) to a single trig function

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Q: Classify each of the following differential equations by stating the order, the dependent and…

A: keeping a note ?as per our company guidelines we are supposed to answer ?️only first 3 sub-parts.…

Q: Find the derivative of f(z)=−4⋅7zfz=−4⋅7z

A: given data   f(z) = -4*7z here we have to derivate with respect to z find f(z)/dz =? f(z) = -28z…

Q: For the function: f(x) = 2x² - 2x - 1, find and simplify f(x) = f(a) x - a a. b. f(x +h)-f(x) h Get…

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Q: Find the integrals: 1- xdx A. -2/3 (1-x)3/2 B. 2/3 (1-x)3/2 + C C. -2/3 (1-x)3/2 + C D. -2/3…

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Q: Evaluate lim X-700 lim X-700 lim the limits 44X 1-5X 2x+5 10x²-3x+5 2x3-7x²-11X 11-10X-9x3

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: 2. Obtain the general solution. (Let 2C=C) (4x + xy²)dx + (y + x²y)dy = 0

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Q: the roots of the linear equation fcx) = x ³ + x² 100 fall within the period [1,2] Ⓒ True (2) Erorr…

A: Given fx=x3+x2-100

Q: The area of the top side of a piece of sheet metal given below. The sheet metal is submerged…

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Q: Question Find the tangential component of acceleration for a moving particle if its position…

A: Tangential component of acceration

Q: Evaluate. Choices: y lim f(x) x-1 a. -1 b. 4 5 C. 2 d. Limit does not exist X

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Q: Find the General Solution G.S. 1. (2xy - 3x²) dx + (x² + 2y)dy = 0 2. 6x + y²) dx + (2xy − 3y²)dy =…

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Q: 4. y = log2 (5x³ - x² + 1)

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Q: Integrate √x+1 dx with limits from 0 to 1. A. 3.22 B. 2.22 C. 0.276 D. 1.22

A: Given :

Q: Find the general solution of the Differential Equation dy dx 4y x(y-3)

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Q: Consider the function Which of the following gives the percentage rate of change P? Select the…

A: We can find the answer as below.

Q: f(x,y)=(5x°-4y3, + 4xy²

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Q: A bird species in danger of extinction has a population that is decreasing exponentially (A=A₂e). 5…

A: A = A0ekt = population t years from 5 years ago   When t = 0, A = 1660. So, A0 = 1660   A = 1660ekt…

Q: 12. Ln. n=1 3 5

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Q: A truck starts off 180 miles directly east from the city of Hartville. It travels due south at a…

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Q: MULTIPLE CHOICE 1. Let f(x) = x² + 2x - 5. What is the x-coordinate of a point where the…

A: Let fx=x3+2x-5. To determine the x‐coordinate of a point where the instantaneous rate of change of f…

Q: Determine the rate of change of the function g(x, y) = y² tan(x − 2y + 4) 2) in the direction of the…

A: We need to find rate of change.

Q: 4

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Q: Find the area of the region enclosed by the graphs of 1 1 √1-9x²² NOTE: Enter the exact answer. Y…

A: Find the area