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Q: Show that 2x? +8x+14 = 2(x+2) +3 by completing the square. Hence, evalu 13 integral dx.

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Q: Find the radius of convergence of the power series. (If you need to use co or -co, enter INFINITY or...

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Q: Find two positive integers such that the sum of the first number and five times the second number is...

A: Solution

Q: A manufacturer offers to deliver to a dealer 300 chairs at Php 360 per chair and to reduce the price...

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Q: Determine whether this series converges or diverges by divergence test 00 Σ Зп 2 5n + 1 n=1

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Q: Particular values for the function f(x) are given in the table below. 0 4 f(x) | 42 | 41 39 34 24 8 ...

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Q: 1. Determine the surface area generated by revolving the line segments about x axis. 2m 3m 1m 4m 3m ...

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Q: What convergence test would be a good option to determine convergence? Why have you chosen that spec...

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Q: (D6 – 3D5 + 3D4 – D³)y = 12 A. y = c1 + C2x + e*(c3 + c4x + c5x²) – 12 B. y = c, + c2x +e¬*(c3 + c4x...

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Q: Find the particular solution dy/dx -2y = x, with y(0)=0 Identify the method of solution used in solv...

A: Solution is given as below:

Q: then Given the map f: R³→R4 defined by f(x,y,z) = (0,0,x,0) rank of f is: А. В. 3. Е. 2. 4-

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Q: QUESTION 2 Find Y for the equation y = cosh(2x)tanh x+ xp

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Q: Find the solutions of the following equations on the interval [0, 2n). 1) sin 20 – V3 sin 0 = 0 2) t...

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Q: Given y=3x-2x2. Find its derivative and show that when x=5, a small change in x by P% will cause y t...

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Q: Let B={v,v2....v,} and s={u,.u,.…..u} be two bases of a Which of the following is vector space y ove...

A: Note :- 1) Two basis of vector space of same dimension are equivalent to each other.  Union of two b...

Q: Plot the point given in polar coordinates. (2. - ) 4

A: The given polar coordinates are in the form of (r,θ) so given point (2, -3π/4)  r=2 and θ=-3π/4 Note...

Q: y = (5x + 2) 6x – 1 %3D -

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Q: Given: f(x) =/1- sin² 4x , find the 5th derivative

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Q: cos 30 sin? 30 +3

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Q: Find the mass of a ball of radius R if the mass density is proportional to the product of the distan...

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Q: 4. Suppose that antibiotics are injected into a patient to treat a sinus infec- tion. The antibiotic...

A: Given that the model for the concentration of the antibiotic in the sinus cavity as a function of ti...

Q: Two cars A and B, started moving from the same point. Car A traveled 60kph northward, while Car B tr...

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Q: 1.5 Р2 2. 15 P3 3. 6 C5 4. 8 C3 0 6C4

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Q: Sketch the curve with the given polar equation. r = 1+2 cos 0 7/2 Зп /4 T/4 2 4 57/4 77/4

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Q: 7. We have given the following curve integral: p (y² – a²) dæ + (x² +y²) dy where the edge of the ar...

A: Given

Q: y"+y = sin x, use Method I

A: Given that: y''+y=sinx

Q: 1. Which of the following is not true about the unit circle? A. The circumference of a unit circle i...

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Q: Integrate the square root of (1 - sin² x) dx.

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Q: Convert the polar form to rectangular equation and sketch its graph. r = cot θ csc θ

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Q: At what interval is y=3x- 5x3 concave upward? 2 2. <x<0 U x) 21 2. U 0<x< U0<x<

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Q: A ball is dropped from a state of rest at time t = 0. The distance traveled after t seconds is s(t) ...

A: Given,  s(t)=16t^2

Q: (e* + y)dx + (2 + x + ye')dy = 0

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Q: x3 + x2 - 15x ? 3 Which of the following is a critical point of the graph f(x) X = 3 B X = 0 (0, 0) ...

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Q: rectangular field is to have an area of This is to be enclosed and divided into three equal lots par...

A: Minimize 

Q: 1. Find f' (0) given that f(x) = sinh-1 e*.

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Q: Tell whether the enumerated function is linearly dependent or linearly independent using wronskian

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Q: and B are bases of a vector space y and -1 2 is the matrix of transition from the base B to the If В...

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Q: For the equation given below, evaluate y/ at the point (-2, 1). 3xy – 3x + 0 = 0. y at (–2, 1) =

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Q: Show that 2x2 +8x+14=2(x+2} +3| by completing the square. Hence, evaluate the V3 (x+2/2x? integral |...

A: Given that: ∫3(x+2)2x2+8x+14dx

Q: Sketch a graph of the polar equation and find the tangents at the pole. r = 3cos2θ

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Q: A spherical balloon is being deflated at a rate of 80 cm³/min. At what rate is the radius decreasir ...

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Q: Use the binomial series to find the Maclaurin series for the function. f(x) = V1 + x A(x) = 1 +x + E...

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Q: Let a and b be vectors in R". Given that ||a|| = |=3 and (a , b)=- Find ||a – b||. А. 19 D. 5 V17 С....

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Q: Let v(T) = 20VT. Estimate the slope of the tangent line of v when T = 300. slope = 225

A: Simply take the derivative and substitute the value of T then simplify. 

Q: Let f(x) be a polynomial function, whose derivative is given by f'(x). Let line q be the line passin...

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Q: Ferris wheel is 20 meters in diameter and boarded from a platform that is 1 meter above the ground. ...

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Q: Determine the least number of terms one would have to take in the alternating series (-1)k-1 k-4 k=1...

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Q: cos' v dv 1-sin v 2.

A: Given

Q: 2. You are planning a wedding, and there are 10 people participating in the wedding ceremony. (i) ( ...

A: i) So in here, the Left and Right side persons are fixed, 5-5 in number, so total number of ways are...

Q: Find an equation for the ellipse. Graph the equation. foci at (0, ± 2); length of major axis is 16 T...

A: Given: The foci of an ellipse is at 0,±2. And, the length of major axis is 16. The objective is to f...