cosx sec? x + cos x csc csc? x csc? x secx cos? x cos x cos x E f(x)dx _ 2 1. If f(x) 1 , then

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Q: The ORIGINAL TRIANGLE NEW LARGRR TRIANCEE NEW GMALEF TRIANGLE Hyptenure Langer Leg Shoger Leg

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Q: In Exercises 22-32, use the limit comparison test to deter- mine whether the series converges or div...

A: Note: We are allowed to solve one question at a time kindly upload second question as another questi...

Q: Determine whether each set equipped with the given operations is a vector space. For those that are ...

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Q: 3x Find the sum of the Fourier series of the function Ax) = e* -1<x 1 at x = -1 OA g3 O B. -3 OC 3-3...

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Q: Using Newton-Raphson method, show that VN is N given by pn+1 = (10p, + Answer:

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Q: 6 - Solve the following Intial Value Problem using the Taylor method series of order 2 in the interv...

A: Given initial value problem is y'(x)=sin(x),   x∈[0, π]y(0)=1 Number of subinterval is n=4 So step s...

Q: Find the area of the region that lies inside the first curve and outside the second curve: T=4 cos 0...

A: We have to find the area of the given between two circles.

Q: 2. Sketch and identify the graph of the following equations in R³ (a) 922 + 4y? = 36 y? (b) 2² – x² ...

A: We have to sketch the graph of the given equations. Then, we have to identify the type of the graph ...

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Q: prove that it is not possible to find four distinct prime numbers p, q, r, s such that ps − qr = 0.

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Q: A particle travels along the x-axis such that its velocity is given by v(t) = t0.3 sin (t) . What is...

A: We have a velocity function and it is v(t) = t0.3sin(t)dt

Q: a) Is a positive or negative? Explain. b) Is b greater than or less than 1? Explain. c) Is the graph...

A: (a) Since the given graph is above the x-axis implies that a is positive. (b) b is greater than 1 be...

Q: Given f(x) = x^3 - 27x + 5, list the interval (a,b) where f(x) is decreasing, AND at what x-value do...

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Q: Use the Riemann sum with n = 2 rectangles to approximate dæ. Round to 3 decimal places. A 0.867 B 0....

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Q: 4. A function y(t) satisfies the IVP 2y' – 3y = e' +2, y(0) transform to calculate L{y} =Y(s). = 4. ...

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Q: Which of the followig correctly evaluates 6C4? 6! = 30 4! 6! = 15 (6 – 4)!4! 4! = 12 (6– 4)! 6! = 36...

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Q: 5. Use polynomial fitting to find a closed formula for the sequence (an)n e N,: 1,3,11,31,69, ...

A: To find a closed formula for the sequence  a0=1,a1=3,a2=11,a3=31,a4=69,.....

Q: Compute sin z dz , where a is the piece of the parabola with equation y= a?, which lies between the ...

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Q: 6. If a cars position on a straight road is given by p(t) = t3 – 6t2+ 8t %3D find the inflection poi...

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Q: Use the basic probability principle to solve the following problem. Express each probability as a fr...

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Q: 10. Which figure comes next in the sequence? A B D

A: Answer is option D. 

Q: 17. If A = -3l, then what is I + 2A + 3A² + 4A³ + 5A* + ... ¤?

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Q: x³ – 16 lim z+too x2 + 4

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Q: a) у %3D (-х — 1) + 2 4 3 1 -5 -4 -3 -2 -1 1 4 5 -1 -2 -3 -4 -5 Left: Right: 3. 2. 2.

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Q: The functions f and g are continuous and differentiable with f (x) = g'(x). Selected values of the f...

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Q: Find the generating function of the sequence {a;}k20 defined by ak = -3 if k even; a = 3 if k odd. %...

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Q: Express (2xy + 2x – 1) – (x² – y² – 2y)i in terms of z & z, then simplify. - -

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Q: Consider the following two ordered bases of R B - {(1,-1), (-2, 3)}, C = {{-1,1),(1, -2)}. a Find th...

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Q: 2. Let V = R" and let {e1,..., en} be the standard basis for V. a) Give an example of a subspace of ...

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Q: Solve 4x2 = 4x + 15 by factoring. %3D

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Q: Given the function v(s) – cos(4 + cos(28)) and the mesh s, – 80 + ih, where so 2' determine the forw...

A: Note:  As per the guidelines we are supposed to answer only 3 subparts of the single question , plea...

Q: a. For what vaiue(s) of a are the vectors r= (3, a, 9) and y (a, 12, 18) collinear? b. For what valu...

A: Collinear and perpendicular vectors

Q: Q4. Given the data points 3 ソーf(x) 7 11 28 Use Lagrange's Method to determine y at x-1, also find x ...

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Q: fi(x1, x2) 2x} – x3 – 1 = 0 X1x – x2 – 4 = 0 f2(x1, x2)

A: Given linear system is f1(x1,x2)=2x13-x22-1=0f2(x1,x2)=x1x23-x2-4=0 Newton method's formula is x1n+1...

Q: If A = log (-5), B = V-i and C = i', solve for A + B + C. Express your final answer in exponential f...

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Q: In connection with the deduction of the Black & Scholes formula for the price of an option (see Chap...

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Q: Show that [x, p;] = iħ.

A: note :  As per our company guidelines we are supposed to answer ?️only one question. Kindly repost o...

Q: Consider the differential equation y" +9 y = 6 (t) +8 (t-2) for a system that is initially quiescent...

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Q: Let S = {0,1}. Let W be the set of finite strings over the set S. Define a function f : W → set of n...

A: (a) since the length of the string 0 is 1. so f(0)=1 (b) take two strings such as 1010 and 0101 then...

Q: V f(x = - (x – 8) (x – 15) V g(x) = -x + (10,15) 15 V Label: (10, 15), (14,9) V Label: 10 (14, 9). P...

A: To find the area of region enclosed by functions f and g

Q: 3x lim 20 et – 1

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Q: what

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Q: (7) What is the value of the series Σ 2 Tn + 1)2"+1 -? Justify your answer. n=0

A: Solution is below.

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize...

A: We can solve using lagranges multiplier 

Q: Reduce to the form a + bi: а. sin (-i); b. cosh (1); С. CSC (1 + i);

A: By Bartleby policy I have to solve only first 3 subparts. Repost separately remaining question. Solu...

Q: . If A = 40ej120°, B = 20Z140°, C = 5 + 2i, solve for A + 2B+C in rectangular form. . Write in the f...

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Q: PROBLEM 4.Use the Laplace Transform to solve the given differential equation Solve y"+4y=e-t ,y(0) =...

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Q: Find the sequence {ax}k2o for the generating function G(x) = (x + 2)².

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Q: 5η X b) Σπ n! n=0 8

A: Given series is ∑n=0∞x5nn!