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Q: 1. Round 12.083 to the nearest tenth. 2. Round 1.98 to the nearest tenth. 3. Round 0.8693 to the…

A: 19. 53 to decimal is 53.0   20. 0.125 to fraction  0.125=125110008=18 therefore 0.125 to fraction is…

Q: Determine the Fourier Series of f(x) = x, over the interval - < x < and has period 2 ! f(x) = Зл 4…

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Q: Sketch the region corresponding to the double integral NEW dx dy 0 and reverse the order of…

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Q: upvote

A: Introduction: We know that the volume of a cuboid of length l, width w, and height h is given by,…

Q: (1,2,3) (0,0,0) 4x³y dx + (x²-25) dy-5yzª dz

A: find the value of function using integrate

Q: 5. A stone dropped into a still pond sends out a circular ripple whose radius increases at a…

A: Ans: 180πm²sec Explanation: Area of circle = πr².......  A=πr²  ----------[1] Differentiating ....…

Q: Determine (without solving the problem) an interval in which the solution of the given initial value…

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Q: Write a function called selector which takes real numbers and returns A; even integers between 0 and…

A: As per the question we have to define a function in Wolfram Mathematica which will return : A if…

Q: 7. 3s+4 L-1{ s²+4s+5- 2t a. e²t (3 cost - 2 sin t) b.e-2t (3 sint 2 cost) – c. e2t (3 sint 2 cost)…

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Q: 3. Find f'(x) if f(x)= 2x + sin³ a

A: This question related to derivation.

Q: f(x, y) = ln(108x +9y) + 6x² - 9y Local maxima are none Local minima are none Saddle points are none…

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Q: o prove that 99 is not the square of a positive integer, we just need to consider three cases for an…

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Q: (x − 1)y" + y' = 0 — a. y = a 11 αι n=1 + a, Σ + ao η b.y = a Σ=1=xn χη χη η c. y = a 1 + αı Σ=1…

A: We have given a differential equation ,  x - 1y'' + y' = 0 We need to power series solution of given…

Q: 4x - 10 Let f(x)= 1-(2x-5)** a. Find the Taylor series representation for f about x = 2.5 that is…

A: As per the question we are given a function f(x) and we have to : Find the Taylor's series…

Q: Exercise 8.2.8. Let q: CX → RX be the map o(z) = |z|² where |z| is the modulus of z. (1) Show q is a…

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Q: 1. Answer the following: (a) If you are given a differentiable function f, give at least one…

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Q: Is it possible for a graph with six vertices to have a Hamilton Circuit, but NOT an Euler Circuit.…

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Q: 1. Use the power series 1 Σ(-1)n-1-1, x + 1 n=1 to find a power series, centered at 0, of the…

A: It is known that 1x+1=∑n=1∞-1n-1xn-1or1x+1=1-x+x2-x3+x4-⋯        ....1

Q: 23. 2x² + y = 0 and y = 8x

A: As per the policy we are allowed to answer only one question at a time. So, I am answering the first…

Q: y" + 6y' + 8y = e-³t-e-5t, y(0) = 0, y'(0) = 0 9. a. (e³t − 1)²e-5t b. (et - 1)³e5t c. (et-1)³ e-st…

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Q: 0 shares of

A: Given as, Dividend declared = 18,000,000 Number of preferred shares = 40,000 Dividend per preference…

Q: (3) Prove the Generalized Triangle Inequality: if a₁, a2,..., an ER then la₁ + a2 + ··· + ªn| ≤…

A: We need to prove that if a1,a2,......,an € R  then |a1+a2 +........+an|&lt;=|a1|+|a2|+......+|an|

Q: Determine the values of r for which the differential equation y" - y = 0 has solutions of the form y…

A: To determine the number of values of r such that differential equation y"-y=0 has solutions of the…

Q: 1. Answer the following: (a) If you are given a differentiable function f, give at least one…

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Q: 2. Find the general solution of d²y dy +5- dr.² dx 6y=0

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Q: 3. dy/dt = e e- -∞ <yo <

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Q: 3.1 Evaluate y"-10y'+9y=5t y(t)-50 +51 +31 e⁹t - 2et t 81 81 Option 1 y(0)=-1_y'(0)=2 y(t)= 81…

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Q: 15.a Is the function a.EVEN b. ODD f(x) = |x|, -π< x < T

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Q: Evaluate y"-10y'+9y=5t , y(0)=-1 y'(0)=2

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Q: Show that the substitution a=es, y = e converts the equation ди a u ди Әи +x +y 0 дх² дуг Әх ду into…

A: Introduction:   A parametric equation is one in which the dependent variables are defined as…

Q: A spherical balloon is to be deflated so that its radius decreases at a constant rate of 15 cm/min.…

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Q: Use the figure below to answer the following question(s). B A Graph 1 Graph 2 Which of the graphs…

A: To find- Use the figure below to answer the following questions(s): Which of the graphs has an…

Q: The fictional city of Torontino radially has a population density of 1000e-0.017² people per km²,…

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Q: Is the function a. EVEN h ODD f(x) 1, -π<x<0 1, 0≤x<T

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Q: 14.a Is the function a. EVEN b. ODD f(x) -1, 1, -π< x < 0 0≤x<T

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Q: Given the function f(x) = 3x² – 12x –17: Write the function in vertex form. Find the ordered pair…

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Q: 4x - 10 Let f(x) = 1-(2x-5)** a. Find the Taylor series representation for f about x = 2.5 that is…

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Q: 2. Evaluate 2y"+3y'-2y=te-2t ,y(0)=0, y'(0)=-2 1 y(0) 125 A) y(1) 25 (96e2+96e-2-10te-2-2²-2) -2t…

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Q: Prove by Mathematical Induction that: 1∙1! +2∙2!+ +...+n∙n!= (n + 1)! –1

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Q: (1) Prove that the product xy of two real numbers x and y is nonnegative if and only if the absolute…

A: This question from real analysis.

Q: 8) Consider the oriented curve C given by C=C₁U C2, where C₁: y = x³, and C₂: y = x², as shown in…

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Q: 3. Use the definition of Taylor series to find the Mclaurin series expansion of f(x) = ln(1 + x²).

A: Given function is  fx=ln1+x2

Q: Let Xis Hilbert Sface and T, SEBO), 2 EF then @+*|| = \|TI|

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Q: (3) Prove the Generalized Triangle Inequality: if a₁, a2,..., an € R then [a₁ + a2 + (Hint: Use the…

A: We need to prove generalized triangular inequality, That is , if a1 , a2 , ....... , an ∈ ℝ  then…

Q: 500 e demand function P(x)=- 0.01x 50 How many accessories must be

A: Given as, Px=5000.01x2+1 , 0≤x≤50.

Q: 1. Use the power series 1 x+1 - Σ(-1)"-19"-1, n=1 to find a power series, centered at 0, of the…

A: The given power series with the sum is 1x+1=∑n=1∞-1n-1xn-1. The series is a geometric series and it…

Q: 1. Find the general solution of dy dx +y=x

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Q: 4. A spherical balloon is to be deflated so that its radius decreases at a constant rate of 15…

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Q: A researcher is interested in studying the connection between the time spent using electronics and…

A: b.) a group of 500 respondents from the ages of 13-19 who live in the state of New York

Q: Question 2 An object was thrown vertically with an initial velocity of 9.9 m/s from a height of 3.0…

A: Solution : Given, Position function: x=x0+v0t+12gt2 x0=3 m v0=9.9 m/s g=-9.80665 m/s2 Putting all in…