2 dydx -23-1 (xy)³ SS.

Q: Find the arclength of the curve y = (x² − 4)² on [2,4].

A: Given question is asking to find the length of the curve.

Q: (2y cos y - x secy-x tan y)dy = (1 + sin y) dx

A:

Q: A = 1 4 2 4 व B = [2 00 Tonm 0 4 -2 1 D = -2 0 0 0 1000 0120 0 1 1 1 1

A: Concept: Determinants: For a square matrix, a determinant can be defined in several ways. The first…

Q: interval of convergence. b. sin² x

A:

Q: Find an equation of the line tangent to the curve tan¹(y) = (x+y)e at the point (0,0). tan ¹(xy) =…

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Q: If z is a variable, then the infinite series of the form is called n Σ" =a + a₁ + ª₂x² + ... + ª₂x”…

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Q: lim √25t2 + 2-5t

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Q: A population of deer grow according to the model N(t) 12(5 + 3t) 1 +.04t 1 where t is in years and N…

A: Let's solve by using diffrentials.

Q: Solve for the power series about x=0 (x² + 5)y" - 2y = 0

A:

Q: Find the constants a and b such that the function is differentiable everywhere. x²-9 x+3 if x < -3…

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Q: find The angle of the triangle whose vertices are C(1,-2, 2) Points AC-1,0,2) B (2,1,1) A B

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Q: Assume that the number of bacteria R(t) (in millions) present in a certain culture at time t (in…

A:

Q: dx √3 1 + x²

A: we use the  formula ∫dx1+x2 = tan-1 x    +C

Q: Jiven the differential equation statement. || ;;y(1) = π. Choose the correc dx 2y+cos y A. Solution…

A: We have to find the solution

Q: 15. A farmer wants to fence in a rectangular plot of land adjacent to the north wall of his barn. No…

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Q: 4. Find the volume of the solid that lies above the cone o H and below the sphere p = 2.

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Q: Given the points A: (2,3,6) and B: (-3,-4,1), find the vector u = AB ū = < U

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: 4. A 25-ft long ladder is leaning against a vertical wall. The foot of the ladder is on a horizontal…

A: Note : According to our guideline I can solve only 1st , please reroute the remaining question.

Q: Find the cross product u x 7 where u úxv- 71 +5j +k and 7 (5,- 4,7).

A: This question can be solved using the concept of cross product of vectors.

Q: 4. Find the Taylor series for f(x) = ln(1 + x) centered at a = 3. Give the first 5 terms of the…

A: This is a problem related to taylor series expansion. Based on the general formula and concept we…

Q: Find the volume of the solid generated by revolving the area bounded by x² - 2kx - 4ky + k² = 0 and…

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Q: 2. Show the volume of the solid obtained by rotating about the x-axis the region 1 under the curve…

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Q: Determine the surface area generated when a portion of the curve in the 1st quadrant of y² =…

A: Let's find surface area rotated about x=0.

Q: Find the volume of the given solid. Under the surface z = 1 + x²y2 and above the region enclosed by…

A: To find the volume of the given solid.

Q: x(t) = Find a plane containing the point (-3,5,-2) and the line y(t) = z(t) = 5 - 3t 8 + 6t 7 + 6t

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Q: Calculate the direction of P₁P2 and the midpoint of line segment P1P2- P 1(3, 4, 6) and P 2(6, 0, 1)…

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Q: If P(x) is some polynomial then ΣP(n)x" has radius of convergence 1. n=1 Select one: O True O False

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Q: 4. A solid consists of a right-circular cylinder and a hemisphere on each end. The length of the…

A: where r= radius and h= heightVolume of a right circular cylinder cylinder is πr2h. Volume of a…

Q: second. At what rate x changing when x = . O-16 O 16 8 O-8 in such way that the y-value increases at…

A: The given equation is;  y=x3-2x2+x-1.

Q: 1. a) Find all the values of (2 – 3i)¹ ) ¹/3 - b) Write the function f(z) = −3i e-²i in the form of…

A: Concept: Complex number in polar form: Complex numbers are represented in polar form because of the…

Q: how did you get to 3x^2+1 ?

A:

Q: Charles plots the point with the polar coordinates (-5,-). How does he plot this point? Drag a value…

A: This question can be solved using the concept of polar coordinates of a point.

Q: Determine dx for each of the following functions. Do not simplify the dy expressions after applying…

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Q: h pendant. In one setting, the two diamonds would have a mas e second setting, the mass of two…

A: Topic:- algebra

Q: Q4. f(x)=5 and 1(x)de=8 dx = 5 and f(x) dx = 8 then f(x)dx a) -3 b) -13 c) 13 d) 3 dx is given by

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Q: expand using the binomial theorem. simplify (a+b)^2 (2x^2 -1/x^2)^4

A: solution

Q: * Two unlike parallel forces, each of magnitude 50 kN are 200 mm apart from each other. what will be…

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Q: True or False? 13. Let R be a relation on a set A. Then R is transitive if and only if R ◦ R ⊆ R.

A: According to our guidelines, we can answer only one question. Other questions can be reposted.

Q: A particle moves along a straight line such that its displacement at any time (t) is given by…

A: Note: There is a typo in the question.  Incorrect:  S = t^3 - 6t^3 + 3t +4   Correct:  S = t^3 -…

Q: Let ā= . Find a unit vector in the direction of a

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Q: The function f(x) = x² + 1 is Bijection from R to R O Injection from R to R Onto and Injection from…

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Q: 3 50 times داد + 33 u س اع

A:

Q: Q3) Given, u (x, y) = xy is harmonic, find a harmonic conjugate v(x, y), write u+iv as a function of…

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Q: y = esin(tan-¹ x)

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Q: 3 Find the arclength of the curve y = (x² - 4) on [2,4].

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Q: Convert the point (p, 0, 6) = = (x, y, z). (0, 1, V X (Give the point in traditional notation.) 2 2…

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Q: 7. f (ex + 1)² dx 8. fex dx/(e²x + 3) 9. f (cos x-sin x)² dx

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Q: (4) Use logarithmic differentiation to find the derivative of the following function. y = x¹/x

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Q: (a) Find the position vector of a particle that has the given acceleration and the specified initial…

A: To find the position vector of a particle with given acceleration vector and initial conditions

Q: 4. Draw a sketch of the following angles. Identify the acute related angle (a) and draw the related…

A: Topic:- trigonometry