SOLVE THE FOLLOWING 1. dx 4x²-4x-5 2. dx=√(x² - 2x + 3)³

Q: Without solving the following differential equations verify if the set of solutions is a vector spac...

A: To find weather the solution set of given differential equations forms a vector space or not. 

Q: Use the Root Test to determine the convergence or divergence of the given series or state that the R...

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Q: 3. Calculate for one real root of tan x = 4x with xo = 1.2 up to four decimal places using the Newto...

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Q: H.W: Find (HPBW) and (FNBW), in radians and degrees, for the following normalized radiation intensit...

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Q: 3. Water is being poured at the rate of 2 7 m3/min. Into an inverted conical tank that is 12-meter d...

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Q: Reduce the matrix 3 -2 -15 A = 1 2 -2 11 2 -5 o reduced row-echelon form.

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Q: e u(n)

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Q: A spherical balloon is being inflated at a constant rate of 20 cubic inches per second. How fast is ...

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Q: (a) Milan is on a game show. He will choose a box to see if he wins a prize. The odds in favor of Mi...

A: (a) The probability of an event P in terms of odds in favor of the event is expressed as P=O1+O, wh...

Q: To test the series for convergence, you can use the P-test. (You could also use the Integral Test, a...

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Q: 1 and a1 = 14. %3D Find an explicit formula for az 4aj –1 + 5ar – 2 for k > 2 with ao

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Q: 4. Let a be an odd integer. Show that (i) 8| a² – 9; (ii) 16 | aª – 81.

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Q: . Find the missing values in the following table : x: 45 50 55 60 65 y: 3.0 2.0 -2.4

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Q: Find the coordinate vector of v (2, - 1, 3) with respect to S = {v,, v, v} where v, = (1, 0, 0), v, ...

A: According to our guideline we can answer only one question and rest can be reposted.

Q: 1) Q can range from 0.335 to 2291.97 -b+ y - 4ac 2a Using Where b =29.8 a=-0.013 C=-10 2) The maximu...

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Q: 10. The x-axis and y-axis form the axes of two right circular cylinders with radius = 1. Find the vo...

A: Given: The axes of two right circular cylinders with radius 1

Q: Summarized on the right is the number of visitors (in millions) of the top five websites in 2015. Us...

A: First we find total number of visitors and then we divide D by the this sum. 

Q: Suppose the desired output is 100,000 copies per day, and cycle time is 30seconds. assuming the busi...

A: The desired output is 100,000 copies per day, and cycle time is 30 seconds. Since the business opera...

Q: 4. у %3D 3?x — x tan z + xz || |

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Q: Show your complete solutions of the following: 1-2. Use Polya's steps in Problem Solving 1.) Rita ha...

A: Remark: There are 4 steps to solve a problem using Poyla's step method such as Step 1: Understand th...

Q: f3xcos(4-x*)-8xV4=x² dx s(4-x²)-8x/4-x² dx —:

A: Let us solve the integral using substitution method in the next steps.

Q: 3.3 hy grephing Solve A. Minimize C =10x +15y s,t. X+y 3x ry Zld ー2x +3y 23 x20, y 20 B. Maximize P=...

A: We have to solve the problems by graphing.

Q: Determine whether the following matrices are in echelon form, reduced echelon form or not in echelon...

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Q: Determine whether or not the following series converge. (You do not have to calculate the sums!) Jus...

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Q: Using truth tables examine whether the following statement patterns are tautology, contradiction or ...

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Q: Last year, 1,460 calculators were returned to the manufacturer. If 83,000 were produced, assign a nu...

A: Given: Total number of calculators produced=83,000 Number of calculators returned=1460

Q: 1. Find a power series solution in powers of x when the series solution around x0=0 for the followin...

A: Solve the differential equation, by Power series method

Q: are given the parametric equations x = 10 – t², y =t³ – 12t. List all of the points (x, y) where the...

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Q: Use Thieoi to find (E)}. (Write your answer as a function of s.) f(t) = 3t2 4 sin(5t) L{f(t)} = %3D

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Q: The Fourier series for the function f(x) = x, -T < x < T is sin nx E(-1)"-1. I-u n n=1 a) Sketch the...

A: “Since you have asked multiple questions, we will solve the first two questions for you. If you want...

Q: Find the area of the triangle with vertices: Q(4,-1,4), R(6,0,6), S(8,-4,7).

A: To find  The area of a traingle with vertices. 

Q: 1. Prove that the Taylor series expansion for the function f(x) =x' about x 1 is reduced to x'.

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Q: Let k be a positive integer. Use induction to prove that (k – 1)"+1 +k2n-1 is divisible by k² – k +1...

A: To prove the given statement by using mathematical induction. 

Q: Find the Minimum Spanning Tree using Kruskal's algorithm. 6 1. 5. 2.

A: We will first arrange the distance between nodes in ascending order.

Q: Apply Lagrange's formula inversely to obtain a root of the equation f(x) = U, given that f (30) = - ...

A: given f(30) = -30 , f(34) = -13, f(38) = 3 , f(42) = 18 x0 = 30 , x1 = 34 , x2 = 38, x3 = 42  yo= -3...

Q: Consider a driven oscialting spring-mass system modeled by my'' + by' + ky = Fo cos(wt). Find the re...

A: As given in the question

Q: 4. i) Prove that the series sin nx n2 n=1 converges pointwise on R, and uniformly on any finite inte...

A: According to the guidelines, we are required to solve only the first two sub-questions. Kindly post ...

Q: - 75ec 3x+tan 3x(sec 3x+tan 3x) cos 3x dx (7sec 3x+tan 3x)In 7 + C 7secax+tan ax + C 7 In 3 3 O c B ...

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Q: 2. Given matrix M below, [sin? A sin A cos A cos? M = sin? B sin B cos B cos² B Isin? C sin C cos C ...

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Q: Let V be a finite-dimensional vector space over a field F, and let T: V V be a linear transformation...

A: Given :  V is finite dimensional vector space over a field F ,  and  T : V→V  be any linear transfor...

Q: Use the duality method to solve each linear programmin 1. Minimize Z = 29x,+ 10x2 subject to: 3x,+ 2...

A: Given that  Minimum z=29x1+10x2subject to 3x1+2x2≥2                   5x1+x2≥3                   x1,...

Q: (a) Find the rank and nullity of th4e following system of linear equations: x, +2x, - x, +4x, =0 2x,...

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Q: Multiple Choice. Write the letter of the correct answer. Kindly explain why you choose the letter as...

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Q: 7. a) How many different paths of length 2 are there in the undirected graph G in Fig. 11.43? b) Let...

A: Path : A path in a graph is a finite or infinite sequence of edges which joins a sequence of vertice...

Q: Suppose f(x) = . (a) The rectangles in the graph on the left illustrate a left endpoint Riemann sum ...

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Q: 3. Here is a triangular prism. 4 cm 5 cm 5 cm 10 cm 6 cm + a. What is the volume? The volume is got ...

A: a. Volume of the given figure shall be: V=Area of triangle×length First we shall find the area of th...

Q: 3x3 Matrix Determinant 8 4 3 -5 -2 7 9. 9 -8

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Q: 1 -5<t<0 f(t) the value of b, is - +t 0<t<5

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Q: Use the sample space shown In the figure to find the probability for the experiment of rolling a pai...

A: The probability of an event is the ratio of the number of favorable outcomes to the total number of ...

Q: 1 To test the series for convergence, you can use the P-test. (You could also use the Integral Test,...

A: