Eliminate the constants in the following: 1. 2.²²2 + 1/² = 1 a b

Q: Eliminate the arbitrary constants F and G from the given equation below. y e3x = Fsin2x + Gcos2x

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Q: Q2 Find the values of x for which the series converges 3n xn a) En=0 n!

A: The given power series: ∑n=0∞3nxnn!We will basically find the interval of convergence.

Q: Let f be the function given by f (x) = 3 sin x + 8e. What is the value of f' (0) ? B C 3 5 8 11

A: To find the derivative with respect to x

Q: 9. y" + 2y'- 3y = 1 + xe*

A: The given equation is; y''+2y'-3y=1+xex.

Q: Q2/Solve = (xy + 2) with boundary condition y = 0 for x = 0 by using Euler dy dx method (8 steps).…

A: We need to apply Euler method.

Q: Use the Newton-Raphson method to find the single real root (n=5) of the function: f(x) = ln(x) − 2…

A: We can solve this as follows:

Q: Solve the following system using Gause- Seidal iteration method for n=5 and initial values XO 4x1 +…

A: The given equations are 4x1+2x2+x3=14x1+5x2-x3=10x1+x2+8x3=20 The initial value given is (1,1,1).…

Q: Find the tangential and normal components of the acceleration R(t) = (2sint, t, 2cost)

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Q: (m+n)a=ma + na conveys which property of scalars? O O O O distributive property none of the above…

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Q: Find the distance of the point (4,2,−5)(4,2,−5) from the line r(t)=⟨1+3t,1+3t,5−3t⟩.

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Q: .) y = 4x ³-2x+1 .) 9 8 = X 3.) √√x+2 X 2x+1 X+ 2 = 4

A: We have to find the whether the given is a rational function , a rational equation ,a rational…

Q: if x < 5, if x ≥ 5, continuous at x = 5? Why or why not?

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Q: f(x) = X-6 2 X x° + 5x − 66

A: The given function is; f(x)=(x-6)/(x2+5x-66).

Q: Radioactive Radon After 3 days a sample of radon-222 has decayed to 58% of its original amount. What…

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Q: The table of values was generated by a graphing utility with a TABLE feature. Use the following…

A: At the points of intersection, the graphs of the functions have the same values.

Q: The limit represents f'(c) for a function f(x) and a number c. Find f(x) and c. 7√x - 42 X 36 f(x) c…

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Q: 4. Evaluate y" for 9x² - 16y² = 8 and simplify your answer.

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Q: 15. 3n? 'n(n + 2) n-1

A: Solution: According to our guidelines we can answer only the first question and the rest can be…

Q: O 1 $. z² dz z²+3z +2 -6лi 3лi inside the circle |z| = 4 O 4 -6 πί

A: Integration

Q: Suppose that f(5) = 1, f '(5) = 4, g(5) = -8, and g'(5) = 2. Find the following values. (a) (fg)'(5)…

A: For a pair of function f,g we have the following.(i) fg'=f'g+gf'(ii) fg'=gf'-g'fg2

Q: lim g (y) where, g (y) = = Jy²+5 3-3y lim g(y) y² +5 if y -2 ify <-2 if y≥-2 g(y) --1 = -1.9 √y²+5…

A: We can draw the graph of the function and interpret the limit  of the function.

Q: cX 7. Syx² dxdy 0 8. X So y lnx dx dy 0

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Q: 2/3x=-8/3

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Q: f(x) is shown in black (the thicker line), g(x) is shown in red (the thinner line). 8+ 7 6 5 4 3 2 1…

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Q: If U₁ = sin (zx/L) cos (avt/L) and U₂ = sin (3xx/L) cos (3лvt/L) are solutions to the wave equation,…

A: If you don't understand any step please comment.

Q: Evaluate the second derivative of the function at the given point. Use a computer algebra system to…

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Q: Question 7 Eliminate the constant: 3x =c₁e²¹² + c₂e²³x Oy"+y'-6y=0 Oy"+5y' +6y=0 Oy"-5y'+6y=0…

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Q: T 6 TL 8 cos y Jsin y x dx dy

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Q: Consider the planes −x − 2y − 3z = −4 and x + 2y + 3z = 12. (a) Explain why these planes are…

A: This question can be solved using the concept of planes in three dinesional geometry

Q: A cold drink is poured out at 55°F. After 2 minutes of sitting in a 60°F room, its temperature has…

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Q: D3D² + 4D-4)y= 2e* sin(2x) - 3ex

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Q: 5. Verify if y=5x+5y=5x+5 is a solution to y'+y+5=5x+15y'+y+5=5x+15.

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Q: (3) Find the length of y = x² c on [0, 1] (ok to use Wolframalpha)

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Q: You can use the Law of Cosines (see Figure 3.41) to find an equation that relates and 0. Figure 3.41…

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Q: Given the following graph, determine the limit of the function as x approaches -2 does not exist 16…

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Q: T * cos® zº die. 2

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Q: If f(k)=3k² +2, find lim h-0 [f(k+h)-f(h)] h

A: For the given function, need to find out the given limit.

Q: Find an equation of the tangent line to the graph at the given point. On your own, use a graphing…

A: To find equation of tangent line at given point.

Q: Question Find parametric equations of the line tangent to the curve r(t) = (√t — 5, ln (t + 3),…

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Q: In a certain sci-fi apocalyptic movie set in the year 3020, the narrator said the maximum acceptable…

A: Given: In year 3020, Rate of decay of atoms of Uue is proportional to the amount present. After 10…

Q: For each equation below, determine if the function is Odd, Even, or Neither f(x) = 3 - x² Select an…

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Q: Evaluate the integral Note: Use an upper-case "C" for the constant of integration. -4t -4 tan²(x) dx

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Q: Evaluate Answer: tan³ t cos4 t dt.

A: To evaluate: I=∫tan3tcos4tdt=∫tan3t sec4t dt=∫tan3t sec2t sec2t dt=∫tan3t(1+tan2t)sec2t dt

Q: olve for x using Newton-Raphson Method 2sin(x)+9^x−3=0 NOTE: INITIAL VALUE IS ZERO

A: Given Equation, 2sin(x)+9^x−3=0 Let f(x)=2sin(x)+9x−3

Q: evaluate, the upper limit is pi/3 and the lower limit is 0: tan5xsec4xdx

A: Question : evaluate, the upper limit is pi/3 and the lower limit is 0:   tan⁵xsec⁴xdx

Q: Problem 2: (a) De Moivre's theorem says that (cose + i sine) = cos(ne)+ i sin(ne). Recalling the…

A: Solution

Q: Calculate the taylor series and the summation: F(x)=cos4x ; C =1

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Q: a) Find the simplified form of the difference quotient for the function f(x)= b) Complete the…

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Q: Please help tell me what the derivative of the following is:  4√sin x

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Q: Evaluate Answer: [*cos'a dit.

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