Q1. Solve the following: (i) 4 – x< 13 (ii) 2(x – 6) + 3x < 8 X X (iii) z*3 ||

Q: 5. Solve 6cos2x - 5sinx - 2 = 0 on the interval x € [0,2π]

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Q: |x-2 (9) (e) 3t2 + 21t + 30 2 5t2-20 < 1 -(x - 3) < 1

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Q: Find the smallest value of the positive constant m that will make mx - 1 + (1/x) greater than or…

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Q: Solve the initial value problem: f'(x) = x13 - 4x + 12x + 18 and f(0) = 2. %3D %3D

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Q: 4) Solve for x. x = 256 a) x = +128 b) x = +18 c) x = +16 d) x = +64 5) This sugar cube box is a…

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Q: Solve for z. 21 27 x-3 x-1

A: Here, we have to use the properties of similar trapezoids. If ABCD and CDEF are similar trapezoids…

Q: 9. Solve for 3cotx-1 0, for 0<x< 2n. 10. Solve for 2 cscx +2 = 4 for0 <xS 2n.

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Q: Show that the equation x^3 + 6x^2 − 4 = 0 has exactly one solution p^∗ in the interval [0, 1].

A: We used Rolles theorem.

Q: Solve the problem: max/min U = xy subject to x2 + y2 2 %3D

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Q: Find f by solving the initial-value problem  f'(x)=6x^2-8x, f(3) =23

A: Given :                f'(x)= 6x2-8xandf(3)= 23   Solution:                    Solving this Initial…

Q: (2.x – 7) In(x + 2) > 0 -

A: We have to find the value of x for this inequality.

Q: What is the particular solution for y′=−2e^x−3x^2+x−4 such that y(0)=1?

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Q: 6. Solve for x: 8x - 2-5x= 8A 6-A x 13 6-B x 2 1/2 6-C x 3 1/3 6-D x =7

A: 8x-2-5x= 8A solve it.

Q: sidy solves the equation 2x+5 = 3x – 7 by finding the point of inters = 2x +5 and y2 = 3x - 7. She…

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Q: x" – 2x' + 4x = d(t – 1) x(0) = x'(0) = 0 - -

A: For solving this question we use the table of Laplace transform and properties of Laplace transform…

Q: 5. (3x³ – y³ + z*)² 2

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Q: 8. Find the solution x (t) of the IVP given as 2" + 4a' + 13x = f (t) x (0) = 0 and a' (0) = 0 }

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Q: What is the particular solution for y′=6e^x+x^2−7x such that y(0)=6?

A: Given problem:- y'= 6ex+x2-7x  Particular solution for given differential equation when y(0) =6

Q: 12. Solve for x using any method. |2x| >x - 5

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Q: Find the general solution by using reduction of order method to (x2 + 1)y" – 2xy' + 2y = 0 given…

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Q: 8. Solve the IVP: x" + 4x = 80(t) + 8„(t), %3| with x(0) = 0 = x'(0).

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Q: Q3. Verify that y² = x² – 3 is the particular solution to the following ivp: y' = ; y(2) = -1. %3D

A: To check whether a solution is particular solution to ivp , it must satisfy the differential…

Q: Why did we plug in x = 1/2 at the last part of the solution for the second problem

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Q: der the problem maxx + 2y subject to x² + y² ≤ 1 and x + y 20

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Q: Find f by solving the initial-value problem. f '(x) = 6x2 − 12x, f(3) = 6

A: Below is the solution;-

Q: Use Variation of Parameters to obtain the General Solution 1. y +4y 4-sx2x

A: Solve the given problem.

Q: 8. f (x) = x² – 6 , Po = 3 and p1 2 then by secant method p2 is

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Q: Find the general solution of the following using the method provided: 3. Variation of Parameters y"…

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Q: Find the particular solution determined by the initial condition. P(X) = 2x ° = 3x )= -6 2/5 - 3x:…

A: This belong to initial value problem of differential equation.first we solve the differential…

Q: Show that the equation √ (3 − x) = x^3 has a solution in the interval [−1, 2].

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Q: 3. Use the Intermediate Value Theorem to show that there is a solution of the equation, ³-4x = 1 in…

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Q: Solve 1. (z - 4) s(3z + 2) 2. X+8(x+1) > 3(2-x)+x

A: Given; 1.  (8/6) (z-4)&lt;=(2/18)(3z+2) 2.  x+8(x+1)&gt;3(2-x)+x

Q: 25 Solve for x ax+by=c

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Q: A company wants to increase the 10% peroxide content of its product by adding pure peroxide (100%…

A: A company wants to increase the 10% peroxide content of its product by adding pure peroxide (100%…

Q: Given f(x)=2×^2+1 and g(x)=4x-5 Solve for (fof)(-2)=

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Q: Particular solution of y" - 5y'=x-2, when x = 0, y = 0, y = 2

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Q: Solve the equation for x .   In x = 2

A: The given equation is ln x = 2. To simplify the given equation, apply the antilog property ln…

Q: III. Solve the problem 1. x"(t) + x(t) = 6sin2t; x(0) = 3 and x'(0) = 1 2. Given:

A: As per bartleby guidelines we only give first question answers.

Q: Find the general solution of t²x' - xt = 2x²2 for t > 0

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Q: Solve for x. Given JKL - MNL. x+ 18 16, 4 x-3 M K

A: Given:-   ∆JKL is similar to ∆MNL  So, sides are proportional-     JKMN=KLNL=JLML⇒ JKMN=JLML

Q: 8. Solve algebraically for x:4 - v2x – 5 = 1

A: The value of x is 7.  I have attached the solution picture below :

Q: Xyz = 0 12. Solve: {x+ 2z = 1 2y-z 4

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Q: Find all exact solutions on the interval 0 ≤ x < 2π. ( csc²(x) − 5 = −3

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Q: 1. Solve for 'x': vx + v2x +7 = 8

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Q: 3. Solve for x. √x+12-I = 0

A: Given problem:- 3. Solve for x. √(x + 12) - x = 0

Q: Find f by solving the initial-value problem. f '(x) = 9x2 + 8x − 5; f(2) = 2

A: Given: Integrate the function f'(x) with respect to x.

Q: Solve the initial condition problem f"(x) = 24.x – 10, f(2) = –221, f(3) = -61

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Q: 3. Solve for x and please show work x5/3 = 3125

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Q: Q1/ Apply the Range – Kutta Method to the initial value 23 problem y' 107 (-5x* + 216x² – 1296) if |…

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Q: 4 1.4=- V9.81Y SOLVE FOR Y

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