Find Indefinite integral. Show all your work. √(x ² + 5x) dx

Q: Suppose F(5) = – 7, F(9) = 4, and F'(x) = f(x). 5 9 6f(x) dx =

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Q: The force on a particle is described by 5x³ 1 at a point x along the x-axis. Find the work done in…

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Q: Find the follow indefinite integral. Stan +C tanº x sec² x dx

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Q: For any two nonparallel and non orthogonal vectors a and b with angle between them, it holds that…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Find the coordinates of the point (x, y, z) on the plane z = 2 x + 3y + 2 which is closest to the…

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Q: Find the point on the curve y = √4x + 4 which is closest to the point (7,0).

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Q: 1101010100112 + 110001001012 = ?16

A: Topic:- binary numbers system

Q: Find the local and/or absolute maxima and minima for the function over the specified domain: y=x+1|…

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Q: Find the differential of the function f(x, y) = yeª at (0, 3). df =

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Q: Use a triple integral to find the volume of the given solid. The solid enclosed by the cylinder x² +…

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Q: Which of the following is the integrating factor of the given linear DE ? dy dx - - 10cos(2x) +…

A: Given dydx - 10cos2x + 12ycos3xdydx + 12ycos3x = 10cos2x

Q: Which of the following is a proper substitution to solve the Bernoulli's equation Select one: O None…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Evaluate the repeated integral: a) 0 12 e² - 12 e b) 06 c) 0 24 d) 12 e) 0 24 e² - 24 e f) O None of…

A: We need to find the value of ∫-11∫1y-2∫ee23x+3yzdzdxdy

Q: Use a definite integral to find the area under the curve between the given x-values. f(x) = x² from…

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Q: Use the graph of the function f shown in the figure to the right to estimate the indicated function…

A: Given graph:-

Q: Find the vertex, focus, and directrix of the parabola. x² = 6y vertex focus directrix (x, y) (x, y)…

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Q: Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve.…

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Q: For sinx+ siny=e", which of the following is equal to dx dy cosy - yey dx dy dx (sinx +siny ) .x —…

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Q: 5. Find a derivative of an exponential function. 2x y = e 2x e^+1 е

A: Solve for the derivative

Q: Question 1 equation : y cost + 2te³+ (sint + t²e - 1)y' = 0. Consider the differential a) Show that…

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Q: дz ди Oz дv = = If z = (x + y) ey and x = u² + v² and y = u² - v², find the following partial…

A: find the partial derivative using chain rule

Q: Find the local linear approximation of the function f(x)= square root of (1+x) at x0=15, and use it…

A: Linear approximation at x = a, L(x) = f(a) + f'(a) (x -a)  Therefore, the linear approximation of…

Q: (f) ef +1 ex dx

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Q: Find the absolute extrema of f(x)=2x-3x²² on the interval [13]

A: Given function:- fx=2x-3x23

Q: Evaluate the limit lim x →∞ 2x³8x² - 6x 22x5x³

A: To evaluate the given limit of the function

Q: A quadratic function f is given. f(x) = x² + 4x + 3 (a) Express fin standard form. f(x) = (b) Find…

A: Let's find standard form , x and y intercepts, vertex, domain and range.

Q: A simple model for the Lorentz curve for family income in a particular country has the form f(x) =…

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Q: Find the value(s) of t so that the tangent line to the given curve contains the given point. r(t) =…

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

Q: (1) Suppose you lift a stone that has a mass of 5.9 kilograms off the floor onto a shelf that is 2.5…

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Q: A. Evaluate the following: NO Differentiation 1. lim(x³ - 2x² + 3x-1) x->2 2 lim (4 + 3r²-2r+5)

A: To evaluate the limit of the given function

Q: Use the Shell Method to calculate the volume obtained by rotating the region under the graph of…

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Q: Determine the type of DE (select all that applies): (2y3x3) dx + 3xy2dy=0 Exact Linear None of these…

A: DE

Q: Sketch the curve of the following:  y = (4 - x2)5

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Q: Use a triple integral to find the volume of the given solid. The solid enclosed by the paraboloids y…

A: solid is enclosed by the curve y=x2+z2   , y=72-x2-z2

Q: Make a sign diagram for the derivative of the rational function. 12x - 60 4x + 20 f(x) =

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Q: Find the directional derivative of f(x, y, z) = yz + x³ at the point (2, 3, 1) in the direction of a…

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Q: lim In (x) In XX x+1 2 x+1

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Q: In a certain city the temperature (in degrees Fahrenheit) t hours after 9am was approximated by the…

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Q: 11. Determine whether the series Σ» (1) n=1 converges or diverges. If it converges, find its sum.

A: Given series:- ∑n=1∞lnnn+1

Q: Question 1 differential equation Consider ta linear xy' + 3y = 2x³. (a) Find the integrating factor…

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Q: (2,-4) (0,-6) . Assuming that f(x) is of the form A · Bª, write an expression for f(x): f(x) =

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Q: dy dt + y cos(2t) = 0 ; y(0) = 1

A: Topic:- application of integration

Q: Sketch the curve of the following and please list the steps you took, including explanations for…

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Q: Find the linearization L (x, y) of the function f (x, y) = L (x, y) = -2x-24y+66 Note: Your answer…

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Q: Consider the IVP: y' = 4xsin(y), y (2) = 4. Using Euler's method with h = 0.1, we have an…

A: As we know that; The iteration formula for Euler's method. xn+1=xn+hyn+1=yn+hfxn,yn   Given:…

Q: Make a sign diagram for the derivative of the rational function. 3x + 6 X-2 f(x) = ---Select--- X…

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Q: The point in a lunar orbit nearest the surface of the moon is called perilune and the point farthest…

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Q: Determine whether the statement is true or false. (log2 9)(log9 2) = 1 True False

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Q: Differentiate the following functions using INCREMENT method of differentiation: 7. y=9a²x+8b; where…

A: We need to differentiate the function.

Q: For the function, do the following. 1 f(x) = 2x from a = 2 to b = 3 Approximate the area under the…

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