In´ n n=2

Q: 6х2-5ху-2у? бх2-8ху+у? dy dx

A: dydx=6x2-5xy-2y26x2-8xy+y2this is homogenuous equation of order 2put y=vxdydx=v+xdvdxv+xdvdx=6x2-5xv...

Q: Find the half-range cos and sin expansion of: f(t) = {0 0stsp/2) p/2 <ts p)

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Q: 1. What is the probability of the sample space S? 2. What are the elements of the sample space S def...

A: We have to find the solutions As per guidelines we have to solve three questions Please repost the q...

Q: I. Determine whether or not the function x2 + 2y if (x, y) # (0,0) f(x, y) 1 er-y if (x, y) = (0,0) ...

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Q: Sketch the curve for each pair of parametric equations. 2=3 cos t, y=5 sin t

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Q: orthogonal trajectory   The trisectrices of Maclaurin (a + x) y² = x² (3a –x)

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Q: IV. Determine the equations of asymptotes, vertices and sketch the graph of the hyperbola. 20. 16 1 ...

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Q: x+3 %3D 8. 4. Wednesday Solve and check for any extraneous solutions.

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Q: R(u, v) = (uv, u sin v, v cos u)

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Q: Check the following relation R on the set A = {1,2, 3, 4} is reflexive, symmetric and or transitive ...

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Q: If the initial mass of an Potassium was 183 grams will remain after 22 hours is 45.75 grams, then th...

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Q: Differential equation From a table inside a room with current temperature of 30 degrees Celsius , a...

A: Use Newton's Law of cooling method.

Q: 4. 1 Зх + 2

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Q: Find the point on the sphere x2+y2+z²=529 that is farthest from the point (-7,-11,-29).

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Q: Find f'( – 2) for f(x) = ln( (x* + 3)´) as an exact fraction or rounded to at least 2 decimal places...

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Q: Write the vector in component form. m = 9, 315°

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Q: (b) Let n = gcd(902, 7995) (i) Use the Euclidean Algorithm to find n. (ii) Express n as a linear com...

A: okokok

Q: Two substances A and B are combined to form a product C. The formation of the product is proportiona...

A: Solution...

Q: f(x, y) = (x² + y² – 2y)e- %3D (a) Find and classify all critical points of f(x, y). (b) Find the ab...

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Q: Using linear approximation of f(x,y)=*+Y at (3,2), the value of f(2.94,1.94) estimated to be x-y

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Q: 1.3 Find all values of 2 for which the homogeneous system of linear equations has nontrivial solutio...

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Q: y" ofy = (x – a)V2ax – x² + a²arcsin ()

A: Given that : y = (x-a) √(2ax-x2) + a2 arcsin(x-a/a). We find y" or second derivative of this given f...

Q: 2. (D³ – 4D² + 29D)y = 0 ; y(0) = 0, y'(0) = 1, y"(0) = –1

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Q: WORX Gavlen flw)=x-d g6)= V-(x-6)" WOP Mekong Delta Find the derivatve Nlx) guven

A: Given:- f(x)=x-2 g(x)=4-(x-6)2+2 h(x)=x-6 We have to find the λ'(x)=? Given that, λ(x)=f(x)g(x)+f(x)...

Q: any angle e. e and - 0 will never be coterminal angles, for any angle 0. 180° You can multiply a deg...

A: 7. The reference angles of θand -θ are equal, for any angle θ. [FALSE] we know if θ is an angle then...

Q: y? x2 1 4 81

A: Firstly we will draw the graph of hyperbola as shown below and then find the asymptotes and vertices...

Q: 1 Given: f(x) 2+x3 Find a power series representation for f(x) about 0 and specify its interval of c...

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Q: Compute the following limits using L'Hospital's rule if appropriate. Use INF to denote o and MINF to...

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Q: Which of the following integrals will compute the area expressed by region D. D = {(x,y)|4x² + 4y² <...

A: see below the graph and the answer with explanation

Q: E1 (arctan(2n+1) – arctan(2n – 1)) n=1

A: The given series is: ∑n=1∞tan-1(2n+1)-tan-1(2n-1)

Q: Use divergence test to know if it is convergent or divergent

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Q: Find the length of the curve. A) 3 1 (t³ 3t), y = t + 5, 0 <t<1 B) 3 %3D 3 4 C) D) 2

A: Solution

Q: Find the point on the surface z=x2-y2 at which the tangent plane is parallel to the plane -25x+21y+z...

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Q: The critical point(s) of the function z= 2x²-4xy-2y²+3x-7y+6 is/are...

A: In this question, we need to find the critical points of the function z = 2x2-4xy-2y2+3x-7y+6.

Q: The arc length of the curve y = 38 is In(1-x2) for 0 < x 3 69 38 40 + In 69 31 In 107 31 38 69 107 +...

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Q: x' +1 5. -dx x'(x-1)

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Q: Let g(x, y) = e*^2 -vy (a) Find the directional derivative of g at (1, 1) in the direction of the ve...

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Q: Find all the relative extremum points and saddle points of f(x, y) = y* – 2y²x – x² + 4x |

A: given functionf(x,y)=y4-2y2x-x2+4x suppose that (x, y)=(a, b) is a critical point of f(x, y)and D(x,...

Q: Find the critical point of the function f(x,y) = 4x²y² + 3y2 + 5x2. %3D o a. (-0.87,0) o b. (0,-1.12...

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Q: Consider the following. (-1)" + 1 = In(2) n = 1 (a) Use the Alternating Series Remainder Theorem to ...

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Q: Σ п(x — 4)" 22" (2n – 1) Given the power series f(x) - n=0 1. Solve for the radius and interval of c...

A: Power series  Find radius of convergence Interval of convergence

Q: 5. Find a general equation of the line which passes through the point (-1,5) and is parallel to the ...

A: We need to find the general equation of line which passes through (-1,5) and is parallel to 6x+8y-7=...

Q: 8. In which Quadrant does the angle 495° lie? b. Quadrant Il a. Quadrant I c. Quadrant III d. Quadra...

A: According to our guidelines we can answer only three subparts, or first question and rest can be rep...

Q: (D® + 9Dª + 24D² + 16) y = 0

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Q: (a) How long would it take for the value of the investment to be $20000? (b) After investing for 5 f...

A: It is a problem of simple and compound interest.

Q: Evaluate the integral . -2 2y3 dx given that x = 2t and y = (2 + t2). A) B) 36 72 D) 72 18 5

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Q: F. The reference angles of 0 and -0 are equal, for any angle 0. B. 0 and - 0 will never be cotermina...

A: Reference angle always less than 90° smallest reference for given angle. Coterminal angle is full ro...

Q: 1. Please answer the following questions. a) [x-In (4x²) dx b) ſe* *. cos (2x) dx c) [In (x² +2) dx ...

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Q: Find the maximum value of f(x,y,z)=24x+18y+21z on the sphere x²+y²+z²=49 I

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Q: Find the extremum of f(x,y) = 4x²y2 +3y? + 5x?. %3D Answer:

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