Type 7: Integer Answer Type Questions 1 x and g(x) = 1 + tan- 1x 1. 2 Let f(x) = sin23 22 x - CoS Then, the number of values of x in interval [-10r, 20T] satisfying the equation f(x) = sgn (g(x)), is 5a. Then, a is equal to

Q: Describe and compare the solution sets of x, + 5x2 - 2x3 =0 and x, + 5x2 - 2x3 = - 6. Describe the s...

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Q: a2 az a4 a5 49. What is the nth-term formula for the number of square tiles in the nth figure? 50. H...

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Q: Exercise. Compute [2, 1, 4, 4], [2, 1, 4, 5], [2, 1, 4, 6], [2, 1, 4, 7], etc. What happens as the l...

A: Compute each of the continued fractions. 2,1,4,4=2+11+14+14=2+11+417=2+1721=5921

Q: Solve det[A] + det[B] when [2 + i 3 A = -6 2il [6i B = l2i i

A: We will answer the first question as we don't answer multiple questions at a time. Please resubmit t...

Q: Evaluate | (x + iy' ) dz, where C is the straight line from z =1 to z=i.

A: given, C is the straight line from z=1 to z=i claim- evaluate the integral ∫Cx2+iy3 dz

Q: 7. J (x2+1)2 8. S (1-x2)1/2

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Q: Question 2. Prove that the following are not wff. The proof in each case must be by analysing either...

A: WFF(well formed formula): Solution a: Let p and q be two formula. then their negation ¬p and ¬q will...

Q: The linear approximation at x = 0 to sin(9x) is A + Bx where A is: and where B is:

A: Given fx=sin9x Differentiate fx=sin9x with respect to x, we get f'x=ddxsin9x=9cos9x Hence, f'x=9cos9...

Q: 4. How many ways we can choose champion, first runner -up and 2 runner-up out of 20 participants?

A: Since you have asked multiple question, we will solve the first question for you. If you want any sp...

Q: A B,

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Q: 2. Given that Z denotes the set of all integers and N the set of all natural numbers, indicate the e...

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Q: 20. Three jealous wives and their husbands come to a river. The party must cross the river (from nea...

A: Given- Three jealous wives and their husbands come to a river. The party must cross the river (from ...

Q: Given a basis T = {[ 1 0 0 1 ] , [1 1 0 −1] , [0 0 1 1 ] , [0 0 −1 1 ]} for M2×2, (a) find [~v]T...

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Q: two sub-companies A and B produce cars, they work out their daily profit (p) based on the following ...

A: x=c 0 1 2 3 4 5 6 7 8 9 10 11 12 13 y=p -60 -32 0 36 76 120 168 220 276 360 400 468 540 616 The...

Q: Describe a function g(x) in terms of f(x) if the graph of g is obtained by: 1. Vertically stretching...

A: Given that, vertical Stritch factor is A=2, the graph is shifted to right 3 units B=3 and shifted up...

Q: TABLE 69 Distance (Blocks) Car Call 1 Call 2 Call 3 1 10 11 18 7 7 3 7 8. 4 5 6. 4 5 9 4 7

A: Hungarian method  to solve the Problem If number of rows is not same as number of columns, then int...

Q: You can use this to decide between competitor splits O Integrals Bias O Weights O Logworth

A: We know that, Logworth is a p-value transformation based on Chi-square test to find the probability ...

Q: Question 2. Show that the relation R in the set R of real numbers, defined as R = {(a, b) : a <b²} i...

A: Introduction :We have given a relation R on the set of real numbers . We have asked to show that it ...

Q: 2.) How many sides does a polygon have if each interior angle is 140 degrees? 3.) How many sides doe...

A: An interior angle of a polygon is an angle inside a polygon at a vertex of the polygon. The interior...

Q: Solve for F(s) L[(1+ e2t)²] a. 1 2 1 s's-2's- 4 Ob. 1 2 s - 2 s's+2 1 + s's+2' s + 2 d. 1 + s's-2' s...

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Q: Calculate the Laplace transform of the function q(t) defined and indicate the domain q(t): is exemp...

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Q: P (15. 1) P (11,7)

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Q: 5. y(2x? – xy + 1)dx + (x – y)dy = 0 a. xye** – y²e** = C b.xye** – 2y²e** = C %3D C. xye*² _ y?e*² ...

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Q: Find the general solution for (y + 1) dx + (4x - y)dy = 0

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Q: Let R be a commutative ring with unity and let M be a maximal ideal of R such that M2 = {0}. Show th...

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Q: sin x dy (1 + y) cos x + sin x If y=- , prove dx %3| cos x 1+2y + cos x- sin x 1+ sin x 1+ 1+ coS x ...

A: Introduction :

Q: 2. Use the method of undetermined coefficients to solve the equation y" – 3y + 2y = e +2.

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Q: Rework problem 15 in section 2 of Chapter 5 of your textbook about the growing suburb and the declin...

A: Given that, the suburb has a population of 688000 and is growing at a rate of 7000 per year. The cit...

Q: 1. (4 pts) Let A = R°, give a geomeric description of the subspace that it spans. {(1, –2, 0), (0, 0...

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Q: 3. Suspension bridges are known to be normal around the world, especially in developed countries. Th...

A: A Parabola is a curve where any point is at an equal distance : From the foci From the directrix T...

Q: B) Determine the parametrizations of the untrimmed surfaces S1, S2 and S3 without constraints(free) ...

A: Given: Surfaces S1: 2x-4y+z=4 S2: 2y=6-x S3: x2=16-4z To find: Parametrization of the surfaces S1,...

Q: Investment. An investor has $24,000 to invest in bonds of AAA and B qualities. The AAA bonds yield a...

A: We will assume that the investor invests x1 amount of money in B-bonds &amp; x2 amount in AAA-bonds....

Q: A red car is driving along the road in the direction is 200 feet up the road from the location of th...

A: Pythagoras Theorem: If a triangle is right-angled (90 degrees), the square of the hypotenuse equals ...

Q: Solve the given differential equation (where the function is subject to the given conditions) by usi...

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Q: 1.In the following we are given sequences. Discuss their limits and whether the convergence is unifo...

A: Given,          1zn1∞

Q: Solve the laplace of: x(t) = 4 x(t) = 3 t>1 O a.

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Q: Find the Fourier series representation

A: Given,                       f(x)=k-5&lt;x&lt;5m5&lt;x&lt;15if f(x+20)=f(x)where m=4, and k=15.

Q: 3. Find the 7th term of the sequence represented by the nth term below: " An = 3n + 4 d. 27 c. 25 a....

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Q: Determine whether the graph of the function below is even, odd, or neither. Also indicate the type o...

A: From the given graph, f(-x)=f(x) Therefore, The given function is Even. Also, from observation, We c...

Q: How many eight-symbol computer passwords can be formed using the letters A to J and the digits 4 to ...

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Q: Determine whether the series converges or diverges. If it converges, find its sum. If it diverges, p...

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Q: 10x + 4 y = 0

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Q: Heat equation with ends kept at zero temperature (reference section 12.5 Kreyszig's book) Let's take...

A: Please check step 2 for the solution.

Q: 5. Let x and y be irrational numbers such that x-y is also irrational. Define sets A and B by A = {x...

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Q: nd the distance from the point to the plane.   (3,3,8)​, 7y+3

A: Given, the equation of plane is                                       7y+3z=0and  point (3, 3, 8)

Q: Let U be a vector space and u, v, w be three lincarly independent vectors in U. Is there a linear op...

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Q: QUESTION 2 The solution of the differential equation xy"– 3xy' +4y = 0 js Select the correct answer....

A: In this question, concept of Euler Type Differential Equation is used. Euler Type Differential Equat...

Q: – 1)=(x + 1)(x² + 1)(x* + 1)...(x22007 Consider the function g(x) defined as g(x).(x(2*008 the value...

A: Introduction :

Q: xy6 x + 0, x* + ys' f(0) = 0. %3D (a) Find all the directional derivatives of f at 0. (b) Is f conti...

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Q: Suppose you deposit $30000 into a savings account earning 2% annual interest compounded continuously...

A: Given: Total deposit = $30000 Interest = 2% Withdraw amount each year = $4000