23. Determine the particular solution of the following differential equation: y' 2y Where: x=1;y=1. Provide your own diagram if necessary and show proper solution.

Q: Determine the value of k such that y = 4x²_3e²r is a solution to x(1-x)y"+ (2x² − 1) y' + k (2x −…

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Q: 15. Determine the particular solution of the following differential Where: x=0; y=1 Provide your own…

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Q: Given the following differential equations: (A) x- = 2x + 3xy², dx da dt Identify the linear…

A: Solution is given below:

Q: 4) Find a polynomial of degree 4 that has real coefficients and has 3,2 and 2+i as some of its roots

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Q: 23 لا تلاح da

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Q: · Sainº z diz. 1.

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Q: Use the limit definition of the derivate to find the slope of the tangent line to the curve.…

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Q: 40/2 x 30 =

A: Topic = Algebra

Q: Using differentials, solve for the approximate change in the hypotenuse of a right triangle if the…

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Q: Determine the two-variable function F(x, y) if Fy (x, y) = y sin(xy) + x given that x^2 + πχ2 F(x₁ -…

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Q: Identify whether the limits of the following does exist or not. If yes, find the limit and if not,…

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Q: Eliminate the arbitrary constants y = e^-x (C1 cos 2x + C2 sin 2x)

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Q: 1. Consider the plane 2x +2y - 3z = 18. (a) Find a point that is not on this plane. (b) Find an…

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Q: da vector that is perpendicular to the plane through the points A = (3, 4, -1), B = (1, -3, 2), and…

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Q: 3. f (x)=√x³ + 6x²

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Q: Find the differential equation by eliminating the arbitrary constants of the family of curves y = C₁…

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Q: Find unit vectors that satisfy the given conditions: 1. The unit vector in the same direction as (0,…

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Q: IF Find А II = 2 1 0 -1 -2 3 4 -5 C = 1- 3At + 2B - AC 2-|Adj A| OR |Adj B| 325 4 3 0 -2 5 -2 4 -5 2…

A: Let's solve given matrix problem.

Q: Using differentials, solve for the approximate change in the hypotenuse of a right triangle if the…

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Q: lim x→−2 [x²-2x+5] 6x-1 lim = √√x² x→−2 √x² - 2x + 5 lim = (5(x² − 1)² – 10) X-2

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Q: Find f(a), and the difference quotient   f(a+h) - f(a) all over h where h  ≠ 0 f(x) = 9 − 8x…

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Q: Evaluate the general solution of y""=e4x + sinx

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Q: 15. Determine the particular solution of the following differential equation: y'=(2x+3)(y2-4) Where:…

A: Topic = Differential equation

Q: 4. Circles on the first quadrant, tangent to both axes

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Q: lim = (5(x² − 1)² - 10) X→2

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Q: lowest term. Two cards are drawn in succession without replacement, in a deck of ordinary cards. If…

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Q: Use the Shell Method to find the volume of the solid obtained by rotating region under the graph of…

A: The given region is bounded by the function: f(x)=x2+2        for  0≤x≤3

Q: ४. 225x3 x bh

A: we know that    152=225 and 72=49 and a=a12then 15272=157anda2=a

Q: lim = (5(x² - 1)² – 10) X-2

A: Topic = Limits

Q: In its first 10 years a mutual fund produced an average annual return of 19.51%. Assume that money…

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Q: d the volume of the solid obtained by rotating the region in the first quadrant bounded by y = x³y =…

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Q: 4. Sketch a possible graph of a quadratic function which has two complex roots, a graph that opens…

A: Here, given that the quadratic function has y-intercept at (0,-2). Suppose it is a vertex of a…

Q: 14 = √ √₁²-x² dx

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Q: Determine the value of k such that y=4x²-3e2x is a solution to x (1− x) y''+ (2x² - 1) y'+k(2x - 1)…

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Q: After a Logarithmic expression (involving 3 or more Logs) has been simplified, the result is 3…

A: Given 3log48

Q: Plot the point with spherical coordinates (2, -5pi/6, pi/6) and describe its location in both…

A: The objective is to plot the point with spherical coordinates 2,-5π6,π6 and describe its location in…

Q: Solve (x + 2y − 1)dx + (2x+y+1)dy = 0 (y − 1)² + 4 (x + 1) (y − 1) + (x + 1)² = 0 (y + 1)² + 4 (x +…

A: Differential equation is of the form Mdx+Ndy=0, if ∂M∂y=∂N∂x then the differential equation is…

Q: ƒ'(x) = lim h→0 f(x + h) − f(x) h The goal of this problem is to break down this definition into…

A: Given that f'x=limh→0fx+h-fxh

Q: 7. Do Exercise 5 by another method. 8. Do Exercise 6 by another method.

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Q: 4. Provide examples for each statement (or clearly explain why it is not possible): Is it possible…

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Q: cos y -y S 56°³³ Sỹ¯³ sin(y+z) dzdxdy 2

A: Topic = Integration

Q: Let f(x) = X (a) Simplify f(8+h)-f(8) h

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Q: The graph shows the percentage of high school seniors who used alcohol or marijuana during the 30…

A: Here is the solution:

Q: Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the…

A: Given curves:- y=1x,y=0, x=1 and x=4

Q: ક) Same work job A in can do 6 days. together? job in How long 3 days and will it take B them can do…

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Q: Eliminate the arbitrary constants of the following. Simplify your answers.   y = e^x (c1cos2x +…

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Q: Consider three arbitrary vectors u, v, w E R³. Using the definitions of the cross and dot products,…

A: We need to prove  u.(v x w) = w.(u x v) = v.(w x u)

Q: Q5/Solve the following ODE using Laplace transform y" - 2y' - 3y = e-2x, y(0) = 2, y'(0) = -1

A: Let's solve differential equation by using Laplace transform.

Q: What function is the general solution of the differential equation 5 1/4+²y=³1 ? x 5 C •,- + — = O 5…

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Q: x² + 8x x³64x Determine the number of discontinuities of f(x). Consider the function f(x)= Determine…

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