PTT/5 sin¹ (5x) dx =

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Q: For each of the indefinite integrals below, choose which of the following substitutions would be…

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Q: Solve the following linear programming problem. Restrict x ≥ 0 and y ≥ 0. Maximize f = 7x + 9y…

A: Given : Maximize f = 7x+9y subject to constraints 2x + 4y ≥ 8 ⇒   x + 2y ≥ 4 3x + y ≤ 7 y ≤ 4   Plot…

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A: According to question,Given Informations,Mass m = 5 kg,b = 50 N-secm,g = 9.81 msec2

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A: We need to find the divergence of the field. F=xyz2, x2yz3, y2

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A: Given series is ∑n=0∞(x-5)2n25n

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Q: If f(x) and g(x) are continuous functions and use the table below to evaluate c'(-2). x f(x) g(x)…

A: Use the chain rule of derivative and put the value from the given table.

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A: Given function:- fx,y=x+5yy+1

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Q: using numerical solution, Trapezoidal Rule to evaluate the following integral, use n= 4 1 0.2 xả…

A: Using numerical solution, Trapezoidal Rule to evaluate the following integral, use n =4,…

Q: Evaluate the integral. (Use C for the constant of integration.) [Car dx (arcsin(x))²

A: Please see the below picture for detailed solution.

Q: Use matrix inversion to solve each collection of systems of linear equations. HINT [See Example 4.]…

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Q: does not exist, enter DNE.) f(t) = t3 − 9t2 + 24t   e) Draw a diagram to illustrate the motion of…

A: Note : according to our guidelines i can solve only first 3 subparts of the given question, please…

Q: Identify the asymptotes. Give your answers in exact form. Do not round. -2x² + 4x-5 x+7 f(x) =…

A: First divide the numerator by denominator then rewrite the given equation again.

Q: 3. Calculate the limits (a) lim (1-cosx)/(5sinx) x->0

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

Q: Find the equation of the line passes through (-2,3) with y intercept 2/3 of the x intercept.

A: Given equation of line passes through ( -2 , 3 )  y intercept 2/3 of the x intercept

Q: Find the terminal point of if the initial point is (-6, -3). The terminal point is (i v = 3i-8j F

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Q: Q2: Prove that the following differential equation is exact, and find the general solution for it:…

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Q: x(t) = -2- 5t Find a plane through the point (7,-6,1) and orthogonal to the line y(t) = 4 + 2t z(t)…

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Q: Match each of the trigonometric expressions below with the equivalent non-trigonometric function…

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Q: Translate the given matrix equation into a system of linear equations. (Enter your answers as a…

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Q: ху е-х +6х a secand derivative sign diagram of for g up, and 3. Let g(x) (a) Draw Cho find the…

A: Inflection point, concavity

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A: Take the derivative of x and y with respect to theta then take the ratio to get the velocity.

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Q: Use spherical coordinates to integrate f(x, y, z) = x² + y² + z² = 81. (Give an exact answer. Use…

A: Calculation of above requirement are as follows

Q: Consider the equation. f(x) = ² at (1, 2) x (a) Find an equation for the tangent line to the graph…

A: Given : f(x)=2x    '   To Find : Equation of tangent   & equation of normal at (1,2)

Q: Find intervals of concavity and any points of inflection for h(x) = x² − 3x² − 1 -

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Q: The height​ (feet) of a ball launched in the air t seconds after it is launched is given​ by:…

A: The height (in feet) of a ball is launched in the air t seconds after it is launched is given​ by…

Q: Find 1 x²√x² + 16 J Solution Let x = 4 tan(0), - Thus, we have sec(0) tan²(0) dx. -<6 2 = << . Then…

A: According to question,Given Integral,∫1x2x2+16dx

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A: Given marginal revenue function R'( x ) = 400 - 0.4x

Q: For the function f(x)=3x² - 2x+7, find f''(x). Then find f’’(0) and f’’(8). f''(x)=(Simplify your…

A: See this solution in below.

Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of the…

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Q: Siven y (cos(3x))*, find = dy using logarithmic differentiation. dx

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Q: Find the general solution for the differential equation bellow: y' + 3.5y = 2,8

A: Given: y'+3.5y=2.8

Q: A point P needs to be located somewhere on the line AD so that the total length L of cables linking…

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Q: Let f(x) = ln(3x + 5). Show by induction that the nth derivative of f is given    by…

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Q: Evaluate the difference quotient for f(x) = x² + 2x - 4 by completing the following steps: Make sure…

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Q: Find the area of the region bounded by the given curves. y = 3x² In(x), y = 12 In(x)

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Q: Is an implicit function z = f(x,y) defined around the point (x=1, y=2, z=0)? (Please write YES or…

A: Is an implicit function z= f(x, y) defined around the point (x=1, y= 2, z= 0) if yes than find…