Find the infinite sum (if it exists): (-) 6 . 7 i=0 If the sum does not exists, type DNE in the answer blank. Sum

Q: Activity A.Determine whether the given is an exponential function, exponential inequality,…

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Q: 4) f(x)=xsin x %3D

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Q: Find the future value of this loan. $21,415 at 4.9% for 7 months The future value of the loan is $

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Q: the Leading Coefficient Test to determine the graph's end behavior. The graph of f(x) rises to the…

A: Introduction: The x-intercept is the point on the x-axis where the line intersects it. To find the…

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Q: (ii) Find the area of the region bounded by r - 200 cos (20).

A: To find- Find the area the region bounded by r2 = 200 cos2θ.

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A: From the above data option (b) Is correct .

Q: The minimal polynomial of v2 + v-5 over Q is:

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Q: Suppose that we have a graph with at least two vertices. Show that it is not possible that all…

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Q: or ds prove} O The arbiFrany union of dlosed set is losed. O The Imagge of Open setis open The im…

A: We have to prove or disprove the given statement.

Q: Suppose f is Reimann integrable on [a,b]. If f (x)< 0 for all x E [a, b], then S f(x)dx

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Q: Take z in W", and let u represent any element = is in wt) Take z, and z in w", and let u be any…

A: Introduction: There are two vectors x,y∈Rn, if they are orthogonal or perpendicular x·y=0. Notation:…

Q: Q2. Let a card be selected at random from an ordinary deck of 52 cards. Let A = [ the card is a…

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Q: ---A 2 Let aj 1 and ag -10 The set {a1, az, ag} will span R unless h

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Q: (3.3) Find the fixed points of the following dynamical system: -+v +v, ý = 0+v +1, and examine their…

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Q: Consider the following IVP: y" -3y' -10y = 1, y(0) = -1, y'(0) = 2 Find the general solution. 13 21…

A: Given differential equation is y'' - 3y' - 10y = 1 Here auxiliary equation is D2 - 3D - 10 = 0 D = 3…

Q: Q) find Fourier series on [-n,7] (3) ƒ(x)=cos x COS X (4) ƒ(x)=xsin x (5) ƒ(x)=xcOs x - T < x< 0 (6)…

A: Since you post more than three subparts, as per our guideline we can solve only first three…

Q: Find the radius of convergence and interval of convergence of the power series. 00 x" 11. У 2n | n=1

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Q: 6. (Complex line integrals) (a) Compute the integral ª dz where y is that part of unit circle which…

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Q: raveling due north at 570 mi/hr. Assuming both airliners maintain their (equal) elevations, how fast…

A: In this question, the concept of the derivative is applied to calculate the rate of change.…

Q: Using mathematical induction, prove that 3ⁿ < n! if n is an integer greater than 6.

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Q: (b) Explain that function f(x) = 1 is not perpendicular to sin(x) or to sin(3x), but is…

A: Introduction: The inner product space is a map from the Cartesian product of vectors space V×V to…

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Q: lent can only perform a single task. The first tasl s scanning; the third is copying, and the fourth…

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Q: 1. Let S be the set of all 2 x 2 matrices of the form with respect to matrix addition and…

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Q: Solve the given system of equations d.r -x + 3y + sin t dt dy = x + y – 2 cos t. %3D dt

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Q: please do b) only

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Q: What is the simple interest on N450 for 4 years at 4'/,% C. N91 N71 B N81 D. N101 E. N111

A: In this question, the concept of Simple Interest is applied. Simple Interest In simple interest,…

Q: Suppose v1, V2,..., Vm E V. Prove that {v1, v2, ..., Um} = (span(v1, v2, ..., Um))-.

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Q: Angle FGH is a right angle. The measure of angle JGH is 25°. The measure of angle FGJ is x°. What is…

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Q: Describe the graph of the equation: r = 4ti – 8j + (1 + 2t)k. [Choose the correct answer.] The…

A: It is three dimensional, so each points must have three components (x,y,z).

Q: In order to compute an 80% confidence interval for the mean of a population with a sample size of 30…

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Q: Activity IV. Determine the truth value of each item. A. If X and Y are true statements and A and B…

A: Since you have posted a multiple  question according to guildlines I will solve first   question…

Q: a. Inside one leaf of the three-leaved rose cos30

A: Introduction: A function that is expressed in the form of r=fθ, it is referred to as a polar curve.…

Q: 5.The sum of 100 real numbers in a given set X equals zero. Prove that the sums of at least 99 pairs…

A: Let set X=a1,a2,a3,…,a100 such that a1+a2+a3+⋯+a100=0. To prove that the sum of at least 99 pairs…

Q: what is the final answer

A: The final answer is dwdt=8t−14t2−t+4

Q: A total of $2,400 is invested into a bond that pays 4.5% interest, compounded monthly, maturing in 9…

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Q: i) The area of the surface obtained by the rotating the curve y=V 36-x², -3<x<3 about the x- axis is…

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Q: 3. Find the series solution of x²y" + x(G+ 2x)y' + (x – )= = 0 using frobenius method

A: Given differential equation is x2y'' + x12+2xy' + x-12y=0 Let y=∑n=0∞ anxm+n  be the solution of…

Q: 3. (Analytic branches of multiple-valued functions) (a) Let w + Vw denote the principal branch.…

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Q: -4 3 -3 30 3 -2 -6 and b -5 2 -39 Define the linear transformation T : R' → R by T(x) = Ax. Find a…

A: Given that A=−43−33−2−66−52 and b=303−39 To find a vector x whose image under T is b.

Q: Integers a and b are such that (a+3-5)² + a- b,5 = 51. Find the possible values of a and the…

A: Note: It is assumed that the equation is a+352+a-b5=51.   It is known that x+y2=x2+2xy+y2.

Q: 5) Divide and simplify. 8 3 15 3 A) - 25 B) - 13 C) 15 8 D)

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Q: the trigonometric Fourier series of a periodic signal x(f) de by x(t) = t2, –n <t<a and x(t + 27) =…

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Q: Activity 1.1.3. Each of the following questions concern s(t) = 64 – 16(t - 1)2, the position…

A: Given ,  s(t) = 64 - 16(t-1)2

Q: The functionh (x) has a range {y\y> -3, y ER} what is the range d the function j (x) 3h (2 (x- 1))…

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Q: Σ 1 n=0

A: Integral test for convergence