y = ln √4x² (Hint: Apply first a property of LOG.)

Q: === =+ = ²x² 6 2x Find the arc length given: y = - on the interval [1,2]

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Q: An auditorium has 20 rows of seats. The first row contains 100 seats. As you move to the rear of the…

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Q: Find the centroid of the region bounded by the semicircle y = √a² -C O (0,5/4a) O (0,4a) O (0, a)…

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Q: Evaluate the integral (1 + 2y)ªdy.

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Q: 15. y=Arccos (x²)

A: The given function is: y=Arccosx2   As we know that: The Chain Rule: fgx'=f'gx·g'x The Power Law:…

Q: :S- 8x + 1 √4x-3 dx. If we let the substitution "=√√4x-5, the resulting integral Given : becomes Ⓒ =…

A: The integration of the integral is (8x+1)sqrt(4x-3).

Q: ?T f(t)=√ t` cosnt dt ((나) ans = 4 12 The easiest way to solve the integral so that the result is as…

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Q: Enclosed by x² + 4y² = 16

A: We have to find area bounded by given curves.

Q: Suppose f'(2)=6 and g'(2) = 9. Find h' (2) where h(x) = 4f(x) + 3g(x) + 6. h'(2)=

A: Topic = Derivative

Q: Q2: Evaluate the following integrate: 2- S(2 + 5x) es dx

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Q: Find the general solution to differential equations 2 #) (-2xy) dx + (Siny-x²) dy +³

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Q: 2 · S² f 0 Given f(x,y) = x²y-3xy³. Evaluate A-6y³ +8y/3 14y-27y3 B 6 6x² - 45x 4 D 2x² - 12x BARCE…

A: Given f(x,y) =x²y-3xy³ Now integration of 0 to 2 (x²y-3xy³)dx  = (X³y/3-3x²y³/2) limit 0 to 2 Put…

Q: 5- Find L-1 5² (s²+4)² by using Convolution theorem.

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Q: Consider the function f(x) = 4x² Identify the locations where f has transition points. (Give your…

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Q: 10. At what rate is the vertex angle of a right circular cone changing when the radius is 3 ft and…

A: The given problem is solved below in detail.

Q: 3. Find the equation of the tangent lines and the normal lines to the curve y = √2x-1 at x=5

A: As per the company guidelines we are supposed to answer only first question. Kindly repost the other…

Q: Q1: Find the third Maclaurin polynomial to f(x) = sinx

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Q: Q5: Derive the formula for trapezoidal Rule to evaluate f(x) dx a

A: SOLUTION-

Q: 32 6. f³² x oriz Steuleve

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Draw a picture to find ALL angles in 0 ≤ 0 < 2TT. 1 Ay mple: For tan(0) = = draw a circle. Label the…

A: Topic :-  trigonometry

Q: y" - 3y" + 3y' - y = x - 4ex

A: Let's solve diffrential equation.

Q: A. Determine if p = ï - 3k and q = 61 - 3j - 4k are parallel, orthogonal or neither. 3. Find the…

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Q: 2. fizə] ycos (xy)] dx + [2xe2y - xcos (xy) + 2y] dy = 0

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

Q: solve the following problems. Draw the necessary figures for each. The area bounded by the parabola…

A: The area bounded by the parabola y2+x-2y=1, the x‐axis, and the line x=2, revolves about the x‐axis.…

Q: Which of the following correctly represents the plane region in the first quadrant bounded by the…

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Q: dx 1. S₁ √x+3 St 2. f2(x+1) dx -1 √√√x²+2x+4 3. f¹₁x²x³ dx 1 dx 4. S Vitsinx 3x 5. S₁ (x²+1)³ dx (a

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Q: X -dx 3. Using a suitable change of variables, determine the indefinite integral: √1 x² [ (sin² x)…

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Q: 2 Find all local extreme values of f(x) = -2.3 + 11x² 56x + 30. 3 The FIRST local extreme value,…

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Q: ㅠ y = 2sinx and y = 0 from x = 4 ㅠ to x = .

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Q: Arrange the choices in order 1,2,3.. to prove: For any sets A, B and C Ax (BUC) = (A x B) U (A x C),…

A: SOLUTION-

Q: Convert the point with polar coordinates 9, 3 The point is: C M 2 3 4 5 6 wend W е t 1 9 C $ % Oll y…

A: Given query is to convert polar to rectangular coordinates.

Q: 6. y = x Arccsc (¹)

A: we can find the y' as below

Q: up 1. √ √2x + 1 dx

A: We have to find the solution  As per guideline we have to solve one question please repost other…

Q: The region in the first quadrant bounded by the graph of y-8-³, the x-axis, and the y-axis is…

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Q: Find the line integrals of F = 4yi + xj + zk from (0,0,0) to (1,1,1) over each of the following…

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Q: Find a formula for the distance from the point P(x, y, z) to the (a) xy-plane (b) yz-plane (c)…

A: Distance between two points x1, y1, z1 and x2, y2, z2 is given by x2-x12+y2-y12+z2-z12.

Q: If an object is dropped from a 150-foot-high building, its position (in feet above the ground) is…

A: Negative sign of the velocity is due to the downward movement of the body.

Q: ورد ه ی

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Q: (1) Which is the correct formula for finding the derivative of the product of two functions? (fg)' =…

A: 1.the formula of derivative of two function is fg'=fg'+gf'

Q: Question R is the region bounded by the functions f(x) = + 1 and g(x) = - +7 over the interval [a,…

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Q: By using Interval Halving nethod, If the lies in the nterval [1,2], e=0.02the oot of the f(x)=x^2-3,…

A: Follow the procedure given below.

Q: Find the area of the surface generated by revolving the arc 9y = x³ the x-axis. O 9/35 O 147/5…

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Q: Let f(x) = 2x³-9x² - 24x+2. a. Find all points on the graph of f(x) at which the tangent line is…

A: Topic = Derivative

Q: 9. A gutter with trapezoidal cross section is to be made from a long sheet of tin that is 4√108…

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Q: Find the determinant of the matrix, O2²-12-13 O22-12+13 O²+12+13 Oλ-13 2-11 4 6 2-1

A: Determinant , λ-11λ-1-24 λ2-11λ-λ+11-24 λ2-12λ-13

Q: - nsider the function f(x) = 2x³ + 3x² – 36x - 54. a. Find the first derivative. f'(x) = b. List any…

A: Topic:- calculus Note :- as per our guideline if more than three subparts posted than only first…

Q: 5. Given z = arctan (+), Find az/ay

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Q: Find the gradient field of the function g(x,y,z) = 8xy + 2yz + xz. Vg= (Type your answer in terms of…

A: We have to find the gradient field.

Q: The path of a satellite orbiting the earth causes it to pass directly over two tracking stations A…

A: Distance of satellite from station A and height of the satellite above the ground is

Q: In Exercises 1 and 2, compute the solution of the given IVP. 1. d²y dt2 +9y2 cos(3), 2 cos(3t),…

A: Since you are asking multiple questions. We are answering only the first question as per our…