YA Y= 5X-x² 2. (4,4) Y= x Find the Alea Of the shaded hegion

Q: Find the derivative of f(x) = 33x-1 O 33x-2 In3 O 33x-1 In3 33x In3 32x In3

A: (1). Given: fx=33x-1   As we know that; The Power law; ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x And…

Q: Reduction of order can be used with yı = 2x to find a second solution for the %3D DE: 2x²y" – xy' -…

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Q: If a ball is given a push so that it has an initial velocity of 24 ft/sec down a certain inclined…

A: Given problem:- If a ball is given a push so that it has an initial velocity of 24 ft/sec down a…

Q: How/ Find the General solution for dhe following O e %3D

A: The given differential equation is;  e2x(dy+2ydx)-x2dx=0. Repost the next questions.

Q: Find the indefinite integral. (Use C for the constant of integration.) sinh(5 – 2x) dx

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Q: Question 6 Evaluate: VA 4 – a² A None of the above 2 sin () – av4 – a² + C f (x) 4 sin- (E) - æv4 –…

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Q: Let R be the region bounded by y =x+4, y=0, and x=4. Draw the region R, and evaluate the following…

A: Let's find.

Q: a. f(x) = 4x + 11 find: f'(-2) b. f(x) = 2x2-5x 3 find: f'(2)

A: Given: f(x)=4x+11 f(x)=2x2-5x-3

Q: An astronaut drops a hammer from rest a vertical distance of 2.0 meters above the surface of the…

A: Initial velocity of the hammer, u = 0 m/s Vertical distance above the surface of the moon from which…

Q: 30 A table of values of an increasing function f is shown. Use the table to find lower and upper…

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Q: Question 1 half of the circle x +y? = 9. Sketch D, and give D in the polar coordinates. Evaluate the…

A: We will evaluate this double integral using polar coordinates.

Q: Graphing a region and finding its area. 1. Sketch the region and find the area of the region bounded…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: In solving the antiderivative of f(x)= 3sin(x) + 4cos(x) +5 by miscellaneous substitution, the…

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Q: A line with positive slope passing through (-1, 1) and intersects the parabola y = x² at the point P…

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Q: Find the minimum point for the function f(x) = 5x – 14x2 – 11x + 1

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Q: 2x + 1 -dx (Зх -1) (г2 + 2х + 2) Evaluate: F (x) = 2 In (|3.x – 1|) – In (æ² + 2x + 2) - 4 arctan (x…

A: A detailed solution is given below

Q: Surface Area All edges of a cube are expanding at a rate of 8 centimeters per second. How fast is…

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Q: Sketch the region of integration and change the order of integration for the integral 3 f(x, y) dydx

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Q: dy Given 4x -9y =1. Find by implicit differentiation. dx

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Q: In solving the antiderivative of f(x) = by miscellaneous substitution, the substitution 2=tan 5…

A: Solve the following

Q: 1 In solving the antiderivative of f(x) = 2 - sin(x) by miscellaneous substitution, the substitution…

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Q: If 54 = the determinant of the matrix below. 3 -4 What is the value of x?

A: We can solve this as follows:

Q: dz 2ydy In if we let y=z + 4, then the new integral becomes Vz+4 -2 у-2

A: Follow the procedure given below.

Q: dx Evaluate: ²+4 x² + 4 – 4 + C +4 +4 | A In B None of the given choices in V x2 +4 - 2 + C C) x² +…

A: The integration of the integral is 1/[x sqrt(x2+4)].

Q: x² + 64 Using trigonometric substitution, given dx, the simplified form of the integral is: […

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Q: x² +64 Using trigonometric substitution, given - dx, the simplified form of the integral is: sec ede…

A: ∫x2+64x2 dxput x=8tanθdifferentiate on both siddx=8sec2θ dθ

Q: Evaluate the function. If the value is not a rational number, round your answer to three decimal…

A: We have to evaluate the function.

Q: Determine the equation in slope intercept form explain in detail how to do Slope = 2 and passes…

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Q: a. Draw the fuunclion y=1x1/

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Q: Brd Derivative OF y=-Jin3x

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Q: !. Find the numbers, if any, where the function f(x) is discontinuous. Explain your answer. x + 1…

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Q: Write T if the statement is true, or F if it is false. W. 1. -dx x' +C 3 %3D 45x=-5x +C 9. 2. %3D 4…

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Q: Example -3 .2 Evaluate I (x+ 2y – z) dx dy dz I (x + 2y – z) dx dy dz - 2 SLE + 2xy – xz dy dz - 2…

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Q: Find:  ∫sin(3x) cos(6x) dx.

A: cos(2u) =2cos2u -1

Q: 2x + 1 Evaluate: (3x – 1) (x² + 2x + 2) 2 In (|3x – 1|) – In (x² + 2x + 2) + 4 arctan (x + 1) +C A F…

A: Find your answer below

Q: S tan³ 6x sec10 6x dx 1 sec1²6x + sec1º6x + C 72 1 60 B none of the choices 1 -sec1²6x + 72 1 1…

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Q: Question 1 9- 4.22 Evaluate: (A) 9 – 4a² + 2 sin-' () +C f (x) : B 9- 4x2 – 2x sin f (x) = V9 – 4.x2…

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Q: 2 2 y 6 L72 L48 yzdxdzdy =

A: Topic = Integration

Q: In solving the antiderivative of f(x) = 2- 3sin(x) by miscellaneous substitution, the substitution…

A: The function f(x)=12-3sin(x)

Q: S sec°x tan x dx +C + C sec³x + C

A: ∫sec5x tanx dx=∫sec4x (secx tanx) dxusing formula∫fn(x) f'(x) dx=fn+1(x)n+1 +cHere , f(x)=sec4x ,…

Q: Eind the volume of the solid genrated By hevolziay the region bounded by the curve the. line y-2at…

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Q: dy Vỹ+5 - =2/y- 5ln|/y+ 5| +c A True B) False

A: follow next step

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

A: Given that the tetrahedron enclosed by the coordinate planes and the plane 7x+y+z=4.

Q: The speed of a runner increased steadily during the first three seconds of a race. Her speed at…

A: Here we will find the smaller and larger distance values,

Q: Find the absolute extrema of the function f(x)=(x+1)*" in [-2,1], if there is any.

A: f(x)=x+123

Q: Question 8 x2 + 64 Using trigonometric substitution, given - dx, the simplified form of the integral…

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Q: When x Va + 4dx was evaluated, the results can be express as F (x) = - (æ + 4) | (x +4)ª – 7 (x +…

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Q: Find the Area of the heian enciosed b9 the two function s Y=5x² and y=x²+4 %3D 18 -5

A: Given query is to find the area enclosed.

Q: Use two iterations of Newton's Method with initial guess xo = to approximate the solution of f(x) =…

A: We have to find the value of x2.

Q: Question 9 In Sx²/25+ x²dx , we let x= 5sine. (A) True (B) False

A: If x=5sinθdifferentiating On both sides.dx=5cosθ∫x225+x2dx=∫(5sinθ)225+(5sinθ)25cosθ…