After appropriate substitution, the integral expression a* (x2 + 4)? dx can be express as (choose 2 correct answer, no partial points)

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Q: The shaded region R is bounded by the lines x = 0, y = 0, and the curve y = x² – 2x + 2 as shown in…

A: Here, the volume is: V=∫03π(y)2dx =π∫03x2-2x+22dx=π∫03(x-1)2+12dx

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Q: Differentiate the following functions. Show your complete solutions and emphasize your final answer.…

A: 1) f(x)=25x    Differentiate with respect to x   f'(x)=252) f(x)=-4x5+2    Differentiate with…

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Q: TVy+1-2 dy can be evaluated conveniently if we let x=VVy+1-2 and dy = 4x(x² +2)dx. T True F False

A: follow next step

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Q: O Evaluate the following integral using Trigonometric Substitutions Method: 1- x dx 2, y =

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

A: derivative

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Q: (4x* – r*y +y*)dx + x*dy = 0.

A: Let's find.

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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: Using trigonometric substitution, given (Vx+64 dx, the simplified form of the integral is: sec³ed®…

A: We have to check whether the given statement is true or false.

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A: Here we have to evaluate the given integral.

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: Let a = (1,2,3),b = (4, –3, –1),c=(-5, –3,5) and d = (-2, 1,6).Find: %3D а. а+ 5b b. [7c| – |5d| c.…

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Q: S sin?x cos³x dx i sin*x -sin*x + c i sin*x +sin°x + C O A B -sin'x -sin'x + d

A: The given integral is ∫sin3xcos3x dx We evaluate the integral using proper substitution. At first we…

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Q: Water is pouring into a swimming pool. After t hours, there are t + sqrt(t) gallons in the pool. At…

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Q: Q3) Evaluate triple integral f , (x2 -y²)dz dx dy.

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Q: dx = x +C 3. 45x dx = -5x +C 4. 12V dx =-x+2x' +C 4x + 35x 4. 4 +8x dx = -5xi +C 4 28x 15x dx = 4x+-…

A: The integration of the integral  35x3/4/4 +8x-3.

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A: Given that     f(x) = sinx and g(x) = cosx  Here we have to find all the values of x that satisfy…

Q: 2x 4. Given the function F (x)= 3 do the following: 4.x +1 a. Find F-1 (x). b. Find dom F and dom…

A: Given,            The function is Fx=2x-34x+1.

Q: characters. * Determine the slope of the tangent to the curve y - 3xy +2x = 4 at the point (3, 2).…

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Q: 4.Describe the largest set S on which it is correct to say that f is continuous S (x,y) = In(1–x² –…

A: Given problem:- Describe the largest set S on which it is correct to say that f is continuous C.…

Q: Let a = 2i - 3j and b= 2j + 3k. Compute for the following: (a + b) · (a – b) None of the choices -8

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Q: Let y=f(x).Which of the following correctly defines dx [fk+Ax)-fw] a. lim Ax+xL Ax Ob. lim Ax+x…

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Q: Suppose A = (a, 0, 2) and B= (6, –2, b), for some a > 0 and b> 0. (a) If projĄB = 12 24 =,0,), find…

A: Suppose A=a, 0, 2 and B=6, -2, b, for some a>0 and b>0.If projAB=125, 0, 245, then to find the…

Q: Q5) Find volume of body bounded by z² + y² + x² = 9.

A: Explanation of the answer is as follows

Q: (x²y + 2xy² – y³)dr – (2y³ – xy² + =*)dy = 0.

A: Solving

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Q: y" + 4y" + 4y' = 0. %3D

A: Follow the procedure given below.

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: 2.Find the indicated limit or state that is does not exist x* – y* C. lim (x,y)→(0,0) x² +y ху d.…

A: Solving

Q: Find y' if 4 cos x cos y = 3y. %3D

A: To find the derivative.

Q: 02) Solve the D.E dy - (2x/1-y2)dx 0

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Q: Find the value of A which is defined as the angle between i+j and j+ k.

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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: Find the arc length of the parametric curve. x = e', y = et, z = v2t; 0<t < 7 %3D L

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Q: Describe the largest set S on which it is correct to say that f is continuous хx* + ху — 5 а. f(х,…

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Q: Evaluate triple integral , dz dy dx.

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Q: Determine the slope of the tangent to the curve y – 3.xy +2x =4 at the point (3, 2).

A: curve :  y2-3xy+2x2=4differentiating w.r.t…

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

A: We have to calculate value of derivatives function for the given x value.

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A: Given problem:- Egay wants to fence a rectangular grazing area along a straight river (no fence is…

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

Q: J1 (3x -1)3 * tvt2 +1 dt

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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: Find the values of a and b for the curve x*y+ay =b if the point (1,1) is on its graph and the…

A: Given,            The curve is x2y+ay2=b if the point 1,1 is on its graph and the tangent line…