[AAN3] Find the equation of a hyperbola that has foci at (-3, 9) , (-3, – 7and vertices (-3, –4) , (–3, 6)

Q: 1. The velocity of a rocket is given by v(t)= 2000 ln 14x10 14x10 – 2100t -9.8t,0sts30 where v is…

A: Given vt=2000ln14×10414×104-2100t-9.8t , 0≤t≤30 and t=16, ∆t=2 and True value = 29.674

Q: In(n)

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Q: The task is to determine and sketch the domain of the function In (b – a² + 4) V36 – 4a² – 9b² g(a,…

A: Here function is given in terms of a and b ,We will sketch the domain by plotting a along horizontal…

Q: Let A - ( ) a. Show that the vectors lz.A, A² are linearly dependent in Maz (R). b. Deduce that A"…

A: Statement (S1) proves that  I2 , A, A2  are linearly dependent.

Q: Define Euler's P-function. Showing your working, compute (5), D(23) and (115).

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Q: H-w.4 Find the Volumes for the fallowing solids whose heishts are defined by ECX,y) and bases are…

A: Volume bounded by the region

Q: V. Let f(x) be a differentiable function such that for all æ > 1, • f(x) > 1, • f'(x) < f(x) and lim…

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Q: Σ (-1)" (2n + 1)! Given: sin x = ,2п+1 for x E R n=0 (-1)"(2n + 1) Compute the exact value of the…

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Q: A. LINEAR EQUATIONS WITH CONSTANT COEFFICIENTS d³x 3. dt3 d?x -2 dx - 35 = 0 dt 4. (D³ – 4D² + 4D)y…

A: To find the solution of homogenous linear equation with constant coefficient we assume the trial…

Q: Evaluate cxy)dA av)d4 over the region R bounded by y = 2r, y=x+1 and x = 3. (3, 6) 5.5+ y-2x 4.5+…

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Q: (-1)" (2n+1)! n=0 Σ Given: sin x x² n2n+1 for x E R (-1)"(2n +1) 4" (2n + 1)! Compute the exact…

A: Given: sinx=∑n=0∞-1n2n+1!x2n+1 for x∈ℝTo compute: The sum ∑n=0∞-1n2n+14n2n+1!

Q: Let S be the solid inside the sphere p = 6cosø and belo the cone Ø = 1/4 Find the volume of the…

A: Given:S the solid inside the sphere ρ = 6cosϕ and below the cone ϕ = π/4

Q: Let H = Span{1+x,1+x², 3+x +2x², 2 + x + x²}. what is dimH?

A: Solution

Q: et Determine if the improper integral dx converges or diverges. (1 - e)2 If it converges, find its…

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Q: Apply the steepest descent method to minimize f(X) = xỉ + 2x2 + x3 + 4 with starting point X, = |41.…

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Q: ΣΗ [2m – 2 2m т+1 п+2 m=2 Is the series divergent or convergent?

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Q: QI) Evaluate the integral dy dx using polar coordinate

A: The solution is given below. Hope this helps.

Q: Let B = {b1, b2} be a basis for a vector space V. Let T : V –→ V be a linear transformation with the…

A: let B={b1,b2} be basis for vector space.

Q: Evaluate 2 1 xe*y dydx e2 +e-1+ 3 e? - e-1 -3 Option 2 Option 3 e2 +e-1-3 Option 1 None of the…

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Q: Learning Task I. Use the figure at the right to complete the inequality statements: 1. m21 3. If the…

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Q: +oo (4 – x)" /n+ 5 9n · 7n Consider the power series n=1 Use Limit Comparison Test to show that the…

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Q: Sheet 3 Numerical analysis QI/ Use the polynomial that fits data shown by Newton divided difference…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 4. Evaluate the integral I 1 sin? x dx Include 4 decimal places on your 3 computation. a. single…

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Q: Suppose f is continuous on the interval (0,3). Assume further that f(0)= -2 and f(-3)= 5. Also, lim…

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Q: a/ using the test comparing the ひsinas 8. series Enas n?_2n-3

A: This is a problem of series.

Q: 4,17, 2,1, 3, 11,14, 10, 6, 1,2, 1, 4, 14,15, 12, 1, 7, 9, 6 How many classes should there be if the…

A: Given: Let us consider the given, 4,17,2,1,3,11,14,10,6,1,2,1,4,14,15,12,1,7,9,6 Class width=4

Q: What interest will be earned if $6500 is invested for 2 years at 11% compounded monthly? (Round your…

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Q: Use double integral polar coordinates to find the area of the portion of the surface 3z = xy that…

A: Area of the surface given by the equation z=fx,y is given by S=∫∫A 1+zx2+zy2 dA where A is the…

Q: Consider the pdf shown. Determine (a) the constant b in terms of a. (b) P(X>a). (d) X, X2 and o² .…

A: As per the policy of bartleby the provisions is to solve only 3 subparts, Given         p(x) is…

Q: –10° | The eigenvalues of 1 are 3 and

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Q: All New Yorkers are cosmopolitan. (N, C) All cosmopolitan people are friendly. (F) Either Tom or…

A: We have to use resolution to determine if the following arguments are valid.  We Know that,

Q: +o0 Consider the power series 22n (2x- 1)". Vn2 +1 n=1 3. Determine the radius and interval of…

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Q: +00 For all x E R, eª = > ) n! n=0 Express f(x) = x²e* as a power series. • Find the third degree…

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Q: Determine whether the following series converge or diverge. 4+ cos? n •2 3n – Vñ Σ (5 – 4(In n)³)"…

A: Here we can use following test to check the convergence of the given series: (i) Limit comparison…

Q: 2) Solve the D.E xdy + (2y-x+3x)dx 0

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Q: Use a triple integral to find the volume of the given solid. The solid bounded by the parabolic…

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Q: onsider the power series 22n (2r- 1)". Vn? +1 n=1 1. Use alternating series test to show that the…

A: Typewritten answer in latex is presented below.

Q: 1 -1 Ob tai the Fruries Seriesi a Ans: fee= TT 2ntl Find; ab

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Q: 4 1 1 1 1 4 1 1 You are given that the eigenvalues of A = 1 1 4 are 1 1 1 1 4 7, 3, 3, 3, counting…

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Q: Σ (2х — 1)" n V4n + 1 n=0

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Q: -2 1 1- 2et 0 2

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Q: QI) Evaluate the integral dy dx using polar coordinate

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Q: whose Hw.4 theights are de fined by ECXgy) and bases are the regions bounded by the fottowing fin…

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Q: = the power series ) 22n (2.x – 1)". Vn? +1 ermine the radius and interval of convergen ce of the…

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Q: V2 V3 U4 U5 1 1 1 1 0. 1 1. 1 0

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Q: -2-x Q1) Evaluate the integral S* dy dx using polar coordinate 0,

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Q: Evaluate the Inverse Laplace Transform 2 s+s+ 3 F(s)=

A: Given below step by step solution

Q: 1 + 4 = 5 2 + 5 = 12 3 + 6 = 21 8 + 11 = ?

A: Solution :  Given that  1 + 4 = 5  2 + 5 = 10  3 + 6 = 21  8 + 11 = ?

Q: QI) Evaluate the integral dy dx using polar coordinate

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Q: VII. Let f(x) 1 — Зх 1 1 Find a power series representation for f(x) for all x E а. 3'3 (금) b. By…

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