Find the centroid of the region. NOTE: Enter the exact answers. (7, 9) (?, ?) %3D y = 23

Q: b. g = f(t, v) = tv, t = In m v = m %3|

A: Given g=tv, t=ln(m) and v=m6

Q: dx V5+4x-x² 5.

A: We have to solve question  5

Q: Choose the point which shows the correct location for the polar coordinate (1, 320°). 90° wIN 135°…

A: We have to find correct point name for co-ordinate for point (1,320°)

Q: Direction: Evaluate f'(2) for the given functions. Show your solutions on a separate sheet of paper.…

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Q: 4 – 5x5 Find the limit lim x – 7 Enter I for o, -I for -o, and DNE if the limit does not exist.…

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Q: 11 Convert the Cartesian equation y = 5 to a polar equation. r = 5cscθ r = 5secθ r = 5sinθ

A: We have to find the polar form

Q: 11. Find the definite integral of S, 2 sinx 1+cos x dx : A. In (1+ cos x) В. 2 In 1 C. In 1 D. In 2

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Q: 1. Find the first derivative of the function g(I) = 81+ 12z - 48T. g'(z) = 2. Find the second…

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Q: The rate of decay of radium is proportional to the amount present at any time. If 60 mg of radium…

A: Let's find.

Q: Find the solution. y'+=V5.y(1) = 0

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Q: dx V5+4x-x²

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Q: b. Consider the graph of function f below. 1,5) (7,9) (-1,-1) (4.2) (1,-1) Complete the following…

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Q: Find a b if Ja = 8, |b| = 9, and the angle between and b is radians.

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Q: 3.) Evaluate: S (G++ 2) dx 4.) Evaluate: S(3sinx – 2sec²x)dx

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Q: Write the integral in terms of u and du. Then evaluate. (8x + 19)-2 dx, u = 8x + 19 (Use symbolic…

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Q: Choose the point which shows the correct location for the polar coordinate (-3, 315). 90 2 WIN 135…

A: The given polar coordinate -3, 315°

Q: The critical point of the function f(x) = x³ – x? + 2x - 23 is (3,2) (금, -2) (음, -2) (금,2) |

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Q: 4 csc" xdx 2.

A: We have to find out integral

Q: Find the volume of the solid that results when the region enclosed by y = Vx, y = 0, and æ = 100 is…

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Q: Evaluate: J 1+sinx -dx

A: To evaluate the given integral.

Q: Evaluate the given integrals. Please Show the complete solution. Identify the u , du and other…

A: We have to find the integral

Q: 1. m(t) = -6t(5t* – 1)* 2. y= (x3 + 2)(x² – 1)* 3. y= (x - 8)* (x +3)5

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Q: Construct the following rational functions. a. Construct a rational function whose only asymptotes…

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Q: INTEGRATION OF TRIGONOMETRIC FUNCTIONS AND ITS TRANSFORMATIONS Evaluate the given integrals. Please…

A: Evaluate the integral :   ∫5cosxcot2sinxdx

Q: (5) Use an iterated integral to find the area if the region. y y = 4 – x² 3 4 2.

A: Given; Now taking an elementary vertical strip. The area of the strip is: dA=Ldx∫dA=∫Ldx Where; L…

Q: (1 point) Find a vector orthogonal to both (-5, –2, 0) and to (0, -2, 5) of the form (1,

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Q: Write the system of equations that corresponds to the augmented matrix. Use xx, yy, and zz for the…

A: Refrence Example: System of equations into augmented matrix

Q: Find the exact area of the surface obtained by rotating the curve x = 21² +=, y = &Vr,1s153, about…

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Q: 5x dV, where E =    (x, y, z) | 0 ≤ y ≤ 2, 0 ≤ x ≤  sqrt4-y^2, 0 ≤ z ≤ 6y   evaluate triple…

A: Answer is 60

Q: Find the limit. 3x +3 lim 12x2 - 8 > Next Question

A: Given query is to find indicated limit.

Q: Evaluate the following limits. If needed, enter INF for o and MINF for -0. (a) It – 9 lim t²+5t +5…

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Q: 1. Bob, Glen, and Paul (the authors of our text) are sitting around enjoying their nice, cold…

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Q: Use Mean-Value theorem to find c X +2x-1 ; [o,i] xj[3,5] Use L'Hôspital vule to find the wmit lime…

A: We will solve the Problem on limits and mean value theorem.

Q: y=x, 4x +y“ = 12

A: The region is bounded by the curves,    y=x, 4x+y2=12

Q: Select the answer option that corresponds with polar coordinates (3, 7). 90° 2 45° TI -7 radians…

A: Given query is to find the correct option for the cordinate.

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A: The domain of a vector function is the intersection of domain of its components.

Q: USE NEWTONS METHOD.  Find the 3rd estimate of the root of f(x)=x2-sin2x-1. . Use X0=0.5.

A: We know Newton's method iteration formula. xi+1=xi-fxif'xi ; where i=0,1,2,3.....    Given:…

Q: dy and d'y of the parametric equations Determine da da 1. a (t) = t - 4t and y (t) = 2t – 6t %3D

A: 1)x(t)=t2-4tDifferentiate w.r.t 't'dxdt=2t-4 --->1dtdx=12t-4…

Q: 3. S: (х2+2)2 dx

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Q: Evaluate the limit, if it exists. If not, enter "n" below. x2 - 4x - lim x→-1 r² 3x – 4 - -

A: We have to find limit

Q: 2. Find the value of o(2) for a solution o(x) to the initial value problem: y" + 4y' + 4y = 2x + 6;…

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Q: Evaluate: S (= + e-5" )dx 1 5x 5 e-5x + C 4 4x 5 5e-42 5x 4 + C 4 5 5x 5 + C - - 4 5

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Q: If f(x, y) 3x+7y af then is given by: (3x–7y) 21y (За — 7у)? 21y (3x–7y)² - 42y (За — 7у)2 42y…

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Q: а. 1 b. 5 с. -1 d. 2 2. S(x) = 3x² %3D а. 3 b. 2 с. 6 d. 12

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Q: dy Calculate Simplify your answer. HINT [See Examples 1 and 2.] dx 2х + 6 y = 5х — 1 dy %3D dx

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Q: Simplify your answer. HINT [See Examples 1 and 2.] dy dx Calculate y = x³(4 – x²) dy dx II

A: We need to find derivative.

Q: Match the expression in Column B to complete the statement in Column A. Input the letter that…

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Q: Select the answer option that corresponds with polar coordinates (3, –150\degree). 90° 2 W/12 134…

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Q: CSC* x dx cot² x

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Q: Ln (sin? (D-C)x) Using first principle find derivative of f(x) xD-C

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