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Q: Solve the differential equation by variation of pa y" + 3y' + 2y = cos e %3D

A: Introduction: The particular solution for the differential equation of order two by the variation of...

Q: Suppose that f is a function whose domain is R and satisfies the following properties: • f(r) = -1 w...

A: Given: Let us consider the given function  fx=-1,x<-21,x=00,x>2 i) Let's define the function f...

Q: 2. In how many ways can three singers and four dancers be chosen to make a team if there are seven s...

A: We have to find in how many ways three singers and fours dancers be chosen to make a team if there a...

Q: Argue about nature of mathematics, what is it, how it is expressed, represented and used

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Q: f(x)=x² +3

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Q: Find the third iteration value of an extremum (maximum/minimum value) of the picture if a = 4, b = ...

A: We can solve this using newton raphson method

Q: Directions: Find the derivative of the following functions: 1. y = log,(x + 5)5 5. y = In x4 %3D 2. ...

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Q: Question 12 What is the exponential form of the complex number 4+3i? A Se 53.13ºj B 5e 36.87ºj 7e 53...

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Q: Which among the choices is linear differential equations? dy · ycosx = sinx dx a. dx b. d*y dy dx = ...

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Q: 20y gny %3D

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Q: Solve for the missing angle measurement.

A: Given,      

Q: HOWDIDHE GET THE RESULT USING GAMMA? w/ 3. 413)

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Q: Draw a direction field for the differential equation y' = -y(1 – y). Based on the direction field, d...

A: We have ,                                                                           y' = - y (1 - y)...

Q: 3x2 -12 at 9x

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Q: |15 18 16 11 12 L 25 E.

A: A Hamiltonian path is a path which starts at any vertex of the graph and visits every vertex  of the...

Q: kimum and minimum r3 9y +1

A: Given as, f(x)=x3 -9x+1, -∞,∞

Q: n(n+1) 1. pdRecall the triangle numbers, 1, 3, 6, 10...where the nth triangle number tn Show that if...

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Q: 4 7 В. |-3 10 13 0

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Q: [16 6 5 12 If we multiply matrices B =|1 11 and C = |-9 1 -5 , which of the following is 8 14 6 -11 ...

A: Given B = 16-711138andA = 6512-91-5146-11

Q: dy 4. dx y = e*y?

A: Note- Since you have asked multiple questions, we will solve the first question for you. If you want...

Q: Suppose that you add 3 to all observations in a sample. How does this change the sample mean? How do...

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Q: Problem II. Find all the roots of z = 1

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Q: CONVERT TO a tjb FORM

A: This is a problem of complex analysis.

Q: If e* and xex are solutions of y"tay'tby=- Are soluhons linearly independent? write the soluhion. Al...

A: Given that e−x and xe−x are the solutions of y''+ay'+by=0. We have to check whether the e−x and xe−x...

Q: Solve the following inverse trigonometric and hyperbolic complex numbers in their rectangular form....

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Q: Suppose that on January 1 you have a balance of $5500 on a credit card whose APR is 19%, which you w...

A: The solution to the above problem is given below:-

Q: Let a,b be two real numbers and define a*b=ab+a+b. What is the identity element for this operation? ...

A: Given operation is a*b = ab + a + b

Q: Express the rational function as a sum or difference of two simpler rational expressions. 3x2 3x2 .2...

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Q: hat is the are length of DF in tems o

A: In this question, the concept of the circumference of the circle is applied. The radius of the Circl...

Q: How many roots of the given polynomial? 2 -6 -4 -2 -2 3 -2 1 2.

A: Consider the given figure. Definition of the root:- The roots are the points where the function cro...

Q: 2. How many solutions are there to the equation X1 + x2 + x3 + x4 + x5 = 18 if a) Each x; is non-neg...

A: The given problem is to find the number of non negative integral solutions for the given equation an...

Q: 18. If the equation of the surface is given, the normal unit vector can be determined by A. taking t...

A: Let's take the simplest coordinate system. It is known that, divergence in cartesian coordinate syst...

Q: 3. Let Px and Pw be perpendicular projection matrices with C(Pw) CC(Px). Show that Px - Pw is a perp...

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Q: Problem: in the polynomial (x+1)³ (x+2)³ (x+3)®, let a, be the coefficient of x*. Find the sum of a,...

A: To find- In the polynomial x + 13x + 23x + 33, let ak be the coefficient of xk. Find the sum of a2 +...

Q: 2. f(x)= 2x³ – 7

A: Given function is f:ℝ→ℝ such that fx = 2x3 - 7

Q: Draw a direction field for the given differential equation. Based on the direction field, determine ...

A: It is given that ,                 y' = y (y - 4)2  (.) Equilibrium point & Equilibrium         ...

Q: II. Judge, by constructing truth tables, whether each of the following is a tautology, contradiction...

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Q: Suppose that f is a function whose domain is R and satisfies the following properties: • f(7) = -1 w...

A: Given the function fx=-1, x<-21, x=00, x>2. (i) We can join the points -2,-1 to 0,1 and 0,1 to...

Q: 7×7

A: To find- 7×7

Q: 1 Suppose that an account is governed by a quadratic accumulation function a(t) = at? + 0.01t + b an...

A:

Q: e slope

A: Introduction: The formula for the slope of the line passing from two points x1,y1 and (x2,y2) is giv...

Q: Write the differential equation and then determine whether you have overdamped,critically damped,or ...

A: Introduction: The differential equation of motion of an unforced damped harmonic oscillation is md2x...

Q: Factor 30t - 50u. Write your answer as a product with a whole number greater than 1. (D)

A: We have to write the given expression as a product of factors.

Q: Obtain general solution of the D.E. y' + (1/3)y = e*yª A 1/y³ = e* (c – 3y) B 1/y³ = e* (c – 3x) с) ...

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Q: Which of the following is the correct value of the dot product for the vectors: u→=(6,−2,5) and v→=...

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Q: 2. (2 + j)(3 – j2) = a + jb 3. (x – j2y) – (y – jx) = 2 +j b =? x =? y =? a =? | |

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Q: Two rods and one cable are attached to the supports at O. If two of the forces are as shown, determi...

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Q: Find the angle between the vectors a=(2,2,-1) and b=(5,-2,3)

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Q: 3) Simplify the expression. State what value(s) of the variable must be excluded from the answer.

A: The function in the form a0xn+a1n-1+···+an is called an algebraic function. The expression in the fo...

Q: Find the general solution of the given differential equation: 2x²y" – 5xy' + 5y = 0

A: