X x² - a² dx

Q: If y = (sin x)e, what is dy ? dx

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Q: Explain why the function is differentiable at the given point. f(x, y) = 9+ x In(xy-7), (2, 4) xy…

A: The linearization of a function f(x,y) at (x0,y0) isL(x,y)=fx(x0, y0) (x−x0)+fy(x0, y0)…

Q: Determine whether the equation is exact. If it is exact, find the solution. 3 2eycosy + = C 2. 3…

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Q: kample 8: Find the point where the line = 1 + t, y = 2t, and z = -3t intersects the plane - 4x+2y-4z…

A: Topic:- geometry

Q: 1. Given the function f(x)=2-4x+ -. Please find the intervals of increase or decrease, absolute…

A: SOLUTION-

Q: Find the Maclaurin series for f(x) = ln(1+r) using the definition of a Maclaurin series. Also, find…

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Q: 3. what can the derivative be used for? In essence, what are the practical applications of…

A: Concept: Derivatives: The derivative is the pace at which one quantity changes in relation to…

Q: Given the vector function F(t) = (5t, - 3t², − 4t³ + 5) Find the velocity and acceleration vectors…

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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: The given rectangle has a perimeter of 120 cm. Find the values of x and y that result in a maximum…

A: Consider the rectangle

Q: For items 13, 14, and 15, consider the region R bounded by y = Arctan , r = 1, and the z-axis.…

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Q: an isosceles triangle! 9. Find an equation of the sphere that passes through the point (4,3,-1) and…

A: Given problems:- 9. Find an equation of the sphere that passes through the point (4,3,-1) and has…

Q: 3 10 [1] Restart Rock Co. determines that the marginal cost, C', of producing the xth climing…

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Q: Let f and g be continuous functions such that: [Fox f(x) = 3 And So, determine the value of: [2f(x)…

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Q: Q4- Solve the following differential equation: (1 + x²)dy + (y − tan−¹(x)) dx = 0 -

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Q: Find :a. b. 20 fő -1 20 dy (1+y) ² (20-6x) e 20x - 3x² dx

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Q: The power series n=1 0-1≤ x < 5 01≤x≤5 0-1 < x < 5 0-1≤x≤5 (x - 2)" 3n converges if

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Q: Find the given determinant by any method. 0000-91 000 20 00-70 0 040 0 0 50000

A: Given matrix, A=0000-90002000-7000400050000

Q: A person is standing between two cliffs. A sound is produced, the person hears echo after 3 seconds…

A: Let the distance between the two cliffs = (a+b) m Speed of sound = 332 m/s

Q: 8 Determine the area of the region bounded by the curves y = =, y = 2x and x = 4

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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: dx x² + 8x + 7 2

A: We know, ∫dxx-a=lnx-a

Q: Solve the following. x³-x²-√2x limx→21 x2-11x+18

A: To evaluate the given limit, first, we multiply the numerator and denominator of the given function…

Q: 00 01 O-1 02 y+0 none of the choices

A: We will solve the problem.

Q: Prove that sin²x x cos²x = csc²a-cot²x 4c8c²2x

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Q: 8. Find the point on the curve y = √2x 3 from the point (1, 4)-

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Q: 10. The expression sin (32) cos (22) - cos (32) sin (22) is equal to

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Q: Let 7' (t) = Find a parametric equation of the line tangent to r(t) at the point (59, 0, - 2.303)…

A: Follow the procedure given below.

Q: Integrate by substitution. 2 [x²(x³ +5) dx

A: Given query is to find the integral using substitution.

Q: Select the correct answer to the following problems: a) f(x) f(x) dx ○ f(4) 00 ○ f(0) f(x-4) f(x)dr…

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Q: An electron is placed in electric of intensity 10^4 Newton per Coulomb. The electric force working…

A: Given : E = 104 Newton per Coulomb Force F is given as  F = qE

Q: 12. A pie is re take the p

A: NOTE: Refresh your page if you can't see any equations. . Newton's cooing law is given by here we…

Q: Determine the area of the region bounded by the curves y = ₁, y = 2x and x = 4

A: This is a problem related to integration. Based on the general formula and concept we will answer…

Q: Find the modular residue of the product. 9,512,667 2,183,321 (mod 5) 9,512,667 2,183,321 (mod 5) =…

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Q: A movie poster is to contain 0.48 square meters of colored print. The margins on each side are 2.54…

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Q: Question 2. The Limit of a Function For the function h whose graph is given, state the value of each…

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Q: Example 4: Find the equation of the plane through the point (-4, 3, 1) that is perpendicular the…

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Q: 11. Find the standard form of the equation of the ellipse with: Vertices: (0, 15); Passes through…

A: 11) Given that the vertices 0,±5, which are on the y-axis and passing through the point 4,2  Since…

Q: - Find all the second-order partial derivatives of the function: s(x, y) = tan-¹(x) -1(y/x)

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Q: Suppose you are given a square with an inscribed circle as shown below. If the area of the square is…

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Q: Question 5. Limits at Infinity; Horizontal Asymptotes For the function f whose graph is given below,…

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Q: Duration (hours) 15 20 30 40 50 20 8 9 9 9 30 9 13 16 17 18 19 19 40 14 21 25 28 31 33 33 50 19 29…

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Q: f(x csc² 6x-x cos 6x)dx

A: Given,∫ (xcsc26x-xcos6x)dx

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

A:

Q: Oil from a ruptured tanker spreads in a circular patter. If the radius of the circle is increasing…

A: Topic:- application of derivatives

Q: The x-component of a force of 50N is 30N, then what will be the y- component of the same applied…

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Q: 4x² + 4y2 +422-8x + 16y=1 presents a sphere, and find its center and radius.

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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: -3x₁ + x₂ + 3x3 = 0 -6x₁ + 3x₂ + 3x3 = 0 2x13x2 + 5x3 = 0 Write the solution set of the given…

A: The given system of equation,-3x1+x2+3x3=0-6x1+3x2+3x3=02x1-3x2+5x3=0

Q: Find the area of the largest rectangle that can be inscribed in a circle of radius 20 cm. Answer:…

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