When q is a positive real number, the improper integral ho dz 1 (1+x²)⁹ converges if and only if O q> 1/2 O q> 2 O q> 0 O qe Q

Q: 12. A sinusoidal function has an amplitude of 0.75 units, a period of 1440°, and a maximum at (0,…

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Q: for what values of c is the surface $x^3+cxyz+z^3=1$ a smooth submanifold of $R^3$.

A: Gradient Of the Function: Let F(x,y,z)=x3+cxyz+z3 The Gradient Of F is given by,…

Q: Prove the Following (2) + (+₁) = (^2 + 1) identity:

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Q: (1) Q1 MULTIPLE CHOICE One answer only Let f [0, ∞)→ R be continuous. Which of the following…

A: We show that option b is the correct choice rest are all false.

Q: Suppose A is a 2 × 2 real matrix with an eigenvalue λ = 3 + 4i and corresponding eigenvector * = [-…

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Q: 12) A license plate has 7 characters. Each character can be a capital letter or a digit except for…

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Q: Given a) find S,. (The nth partial sums) b) Determine if the series converges or diverges. Show how…

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Q: Given D is the finite region in upper half plane bounded by the line || + y = 1 and the coordinate…

A: Here we have to evaluate the double integral in the region bounded D.

Q: Apply the Gram-Schmidt orthonormalization process to the basis B for R³ below. B = SOLUTION {(1, 1,…

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Q: Pizza House offers 4 different salads, 4 different kinds of pizza, and 4 different desserts. How…

A: Here the Pizza house offers 4 different salads, 4 different kinds of pizza, and 4 different…

Q: Kane manufacturing has a division that produces X model a great NY model be great. To produce each…

A: Let, Kane manufacturing has a division that produces x units of model A great and y units of model B…

Q: Find the outward flux [[F · dª of F(x, y, z) = (§ 2³, §‡y³, §2³) through S : x² + y² + 2² = 4. S

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Q: 5" +n+1 5n²+25n+10 5n²+2n +1 25n+n+1. n² +n+1 C) 5n²+25n+ 10 J B) ✓ [Select] 1/5 0 5 Diverges 1…

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Q: solve the centroidal Ixc, centroidal the attached figures. Underline/box answers. 1 in 1in y 1 in 3…

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Q: 4. Use Cramer's Rule to solve the following system. You must find all determinants in Mathematica…

A: we enter the system of given linear equations in matrix form in mathematica.

Q: que for the radius of convergence of a power series soluti - x₂ = 1 ow and, if necessary, fill in…

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Q: Σ* •(-1)k+1k²2k k=1

A: I have explained everything with in the solution .please go through that

Q: Three cards are drawn at random from an ordinary deck of 5 Find the probability that the 3-card hand…

A: A 3-card hand from a deck of 52 cards is drawn. To find the probability that the hand contains no…

Q: 13) A group consists of 10 kids and 2 adults. On a hike, they must form a line with an adult at the…

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Q: Lagrange Multipliers with Multiple Constraints The intersection of the

A: Here the plane is given by x+y2+z3=0 and the unit sphere is x2+y2+z2=1. The point on the great…

Q: 13. The polar form of the Cauchy-Riemann equations. (a) Use the coordinate transformation x = r cos…

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Q: Use residues to evaluate the following improper integral: 1.000 r sin 2rdr x² +3 Use the following…

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Q: 4. Find the volume of the solid obtained by rotating the region in the first quadrant enclosed by…

A: The given region is bounded by the curves y=tanx, y=2cosx for 0≤x≤π2. To Find: Volume of the solid…

Q: ake paraboloid z = x² + y², for 0 ≤ z ≤ 16, and slice it with plane y = 0. Let S be the surface that…

A: Paraboloid: z=x2+y2 for 0≤z≤16 which is sliced with plane y=0.And C is  the semicircle and line…

Q: Two departments of a firm, A and B, need differing amounts of steel, wood, [ and plastic. The table…

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Q: Find d so that D= ľ 23 is diagonizable

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Q: Given the following matrices below, confirm or deny that (BT AT)-¹ = (A-¹B-¹)". 4 5 2 -8 6 2 3 B = 2…

A: The WOLFRAM MATHEMATICA CODE to perform the required operations is given below. THE CODE A = {{4,…

Q: Four partners (Alonzo, Brenda, Camille, and Donald) are dividing a parcel of land valued at $240,000…

A: Total Value Of the Land Parcel =$240,000   s1 s2 s3 s4 Alonzo $70,000 $50,000 $50,000 $70,000…

Q: 5. Use logarithmic differentiation to find the derivative of S(x)-(1-) (₁-²) (1-²)-(¹-9) = where n E…

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Q: Consider the linear system ² - [ 8 - 1] = = x. 6 Find the eigenvalues and eigenvectors for the…

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Q: Anna is buying $17,000 worth of rare coins as an investment. The dealer is charging her an annual…

A: The data given in the question are: As an investment, Anna is purchasing rare coins valued at…

Q: Home work Let Find are 6. A = 1961 2 B= -2 5 4 those of the de fine d 1. AB, BA, ATB, BTA 2. A², B³…

A: Since you post more then three subpart. according to new guildlines, we are answering first three…

Q: Question 1 Consider the function f: R → R, given by f(x) :((m + 1) - mx) (x+1), = (+) (a) Find the y…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Please solve, first image is part a and second image is part b

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Q: Complete parts (a)-(c). X y 1 2 -2 -1 O Linear O Cubic 3 4 0 1 5 5 6 14 d *** a) Find a cubic…

A: Given data, X Y 1 -2 2 -1 3 0 4 1 5 5 6 14 Scatter plot:

Q: If ƒ : (0, 1) → R is differentiable and ƒ'(x) ‡ 0 for all x € (0, 1), then there exists at most one…

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Q: B = [b₁ b₂] = [ 1 ₂ ] N= {by bal and a= (-21, 47, 2, 4) Given T(x) = proj length RT colBX defines a…

A: Given information:

Q: Use any method to evaluate the integral. 30 dx S (225x² + 1)² 30 dx (225x² + 1)² S 11

A: We have to evaluate the integral.

Q: Suppose we want to choose 5 letters, without replacement, from 14  distinct letters. (a) If the…

A: To find : If the order of the choices matters, how many ways can this be done?

Q: f Determine all the singular points of the given differential equation. (x+5/-x³y +9y=0

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Q: A company uses the weighted-average method for inventory costing. At the beginning of the period, it…

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Q: 4) Determine whether the matrix transformation T₁: R3 R3 is an isomorphism. - 0 1 -11 0 1 A= 1 2.…

A: We use basic results from Linear Algebra

Q: A shipment of 8 computers contains 3 with defects. Find the probability that a sample of size 3,…

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Q: Is there a unique way of filling in the missing probabilities in the transition diagram shown to the…

A: In a transition diagram,  Each row should be 1 of a transition probability matrix.

Q: 1. Evaluate the line integral f x² dx + y²dy + z²dz, where C consists of the line segment from…

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Q: A tetrahedron T has vertices A(1, 0, −1), B(0, 1, 1), C(1, 1, −1), and D(0, 1, 0). Find the interior…

A: Given vertices of the tetrahedron T are  A(1, 0, −1), B(0, 1, 1), C(1, 1, −1), and…

Q: 1. Let a, b € Z so that 2a + 3b is a multiple of 11. Prove that 11 divides a - 46.

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Q: Solve the system of equations using substitution or elimination by addition. x+y = -0.2 0.9x+0.6y =…

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Q: 11 11 "" Shown above is a slope field for the differential equation = y²(4- y²). If y = g(x) is the…

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Q: You are given a pair of differential equations:  (dx/dt) = 1 - y, (dy/dt) = x2 - y2  1. Find all…

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