Find the general solution for the following Deferential Equations: x.e²ydy + (*²*¹) dx = 0 (Variable separable)

Q: The plane with normal vector (4, 6, 7) containing the point (-5,-1,5) has equation Ax+By+ Cz = D. If…

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Q: 8. The polynomials x - 1, (x - 1)2, and (x - 1)³ span R3[r]. 9. If S and T are finite spanning sets…

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Q: Eliminate the arbitrary constants of the following. Simplify your answers.  9. y = e^2x (c1cosx +…

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Q: Determine the equation of the tangent to the curve where x=0. y=-1+x Oy=-x+1 Oy=1 O None of the…

A: You have asked multiple questions, we will solve the first question for you and the rest can be…

Q: Completly factorize x5 + 4x4 + 7x³ + 8x² + 4x + 2 in Q[x]. Justify that the found factors are…

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Q: Problem 1: At what points is the function y = form. 2x²+10x+12 x²-5x continuous? Write your answer…

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Q: Calculate the following limit: lim (x,y) →(-1,1) 3y² + 3xy - x - y x³ + y³

A: Given, limx, y→-1, 13x2+3xy-x-yx3+y3

Q: The logarithmic equation 2 log c = b, where a > 1, expressed in exponential form could be Oa² = bc…

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Q: I For what values of x does the graph of f have a horizontal tangent? (Use n as your integer…

A: In this question, we want to know at which points , the function f have horizontal tangent.

Q: Find the indicated derivative. f'(-5) = If f(x) = x², find f'(-5). X

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Q: What is general solution of the given ODE. * dy = cos² (x − y + 1) dx cot (x-y+1) + x + 1 = C Option…

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Q: Q4/ Using the Taylor series method to solve: dy = y cos(x), Where y(0) = 1. dx

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Q: Find the minimum value of the following function: f(x,y,z) = x² + 2y² + z² - 2xy - 2y + 5  using…

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Q: iven the matrices A -6 Paren (3 3.8-1], 40-1], solve B = and C= for 5 V

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Q: Find A-B using the following matrices: 5 6 1 2 9 3 A-3 5 8 B = 4 0 3 4 6 7 -5 -1 3

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Q: Chapter 11 Test (3) 6. Simplify the following: n!(n+1)! (n-2)!(n+3)!

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Q: The graph of f(t) is displayed below. Fill out the table for values of the accumulation function…

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Q: x=2y-3 and x=1+4y=2y². (-5,-1) x=2y-3 x=1+4y=2y² 2 0 (1,2) 2

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Q: An unstretched spring is 20 cm in length. If it is stretched to 30 cm, 40 N of force must be…

A: Solved below.

Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)…

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Q: Which of the following is equivalent to 7% = a + 3? log(a+3) 7 = y log7 y = a +3 log, 7 = a +3 Ology…

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Q: Find the angle (where 0° ≤0 ≤ 180°) between the following vectors. 0 u 9, 15 >, degrees 0 ||

A: here we have to find angle between two vector  use formula  cosθ = u*v/[u][v] [u] = 92 +(-15)2 [u] =…

Q: 138) How many degrees is Zf+ <h? A) 360° B) 180° C) 90° D) 45°

A: As per our guidelines we can solve only one problem. So please repost the other questions again.…

Q: Find the value of x. Round to the nearest hundredth. (6.4)x= 6

A: To find the value of x that satisfies the following equation.6.4x=6To round the answer to the…

Q: 1.6 × 10-19 × 1.24 × 104 6.63 × 10-34

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Q: √ √3x + 4 dx

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Q: If all the letters in the word FUNCTIONS are used, determine the number of different 9 letter…

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Q: Find : dw/dk 2 √ sin (ka) m w=2

A: Given :ω=2αmsinka2

Q: 0 Solve the seperable differential equation. dy = 0.24 dx & find the particular solution satisfying…

A: Given problem:- solve dy/dx =0.2y , y(0) =-2

Q: Approximate the area under the curve over the specified interval by using the indicated number of…

A: f(x) = 25 − x2 from x = 1 to x = 5; n=4 subintervals

Q: Example (2): Find area shown in the figure bounded by (y = x²), (y = -x) and (x = 1).

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Q: 3 13 4 1 7 B 14 5 12 89 A student made the following statements about the set above. Statement 1…

A: Let's solve.

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

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Q: The ratio of the distances a driver and a -iron will drive a golf ball is 5 to 4 averages 152yards…

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Q: For vectors ?⃗ = ⟨2, −3, −2⟩, ? = ⟨1, −4, 2⟩ Find the projection of vector ?⃗ onto the vector ?.

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Q: Find the fourier series for f(t) which is defined f(t) =t - ¬<t<¬

A: Given function is odd function, just write the Fourier series of given odd function and calculate…

Q: Determine whether the series converges, and if so find exactly its sum. Otherwise type none in the…

A: To find whether given series converges or not and if yes then find sum.

Q: 02:- b. find the total differential dz. z = x sin xy + x³

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Q: sec5 (sin ¹(7x)) √1 - 49x² dx

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Q: For second-order differential equations that cannot be solved by algebraic methods, the…

A: For second order differential equations that cannot be solved be algebraic methods, the leibniz -…

Q: Question 13 If f(x) = √ and g(x) = x¹, what is the derivative of (fog)(x) with respect to x? O 1…

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Q: f sin(x) sin(cos(x))dx

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Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x = x and then find the nth Taylor…

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Q: There are 30 students registered for a multi-sport camp. There are 4 students who will play Hockey…

A: I have appended the formula used in the solution part of the question

Q: What is the order of (y")^3 + 2(y)^5 = 7 · 2 0 1 O 3 O 5

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Q: 1) 2) 3) cos ¹(2) j(1-j√3)(√8+j) (1+j)(1-j√3)²

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Q: When the expression - log, (5) - log, (4) + log, (7), b > 1, is written in the form log, a, the…

A: We have to find value of a to the nearest hundredth.

Q: Determine the absolute extrema of the function f(x) = (x-3)e* on the interval -2 ≤x≤1.

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Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate…

A: We need to find convergence of series.

Q: 2 3 ln x² dx 13mx 히 X

A: Given problem:- ∫ 3ln(x^2) dx/x