please do b

Q: Find the following limits. You may use any theorem we have proved, such as Arithmetic of Limits.…

A: we will find limit using the value  limn→∞1np=0  for p≥1

Q: Find the average value of the function over the given solid. The average value of a continuous…

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Q: 4. Determine u(z,y) and v(x, y) from the function f(z)=ze²

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Q: Prove that F(x, y, z) = (y² cos x+z³)i+(2y sin x-4)j+(3xz+2)k is a conservative vector field.

A: As per our guideline, we are supposed to solve only first subpart. Kindly repost other subpart as…

Q: If F(x, y, z) = xzi+3ryj-2zk, evaluate fF.dS using Gauss's theorem when S is the closed cylinder…

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Q: 389. The triangular region R with the vertices (0, 0), (2, 0), and (1,3) is shown in the following…

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Q: Find an SVD of the indicated matrix.

A: Given: A=111111 To find the SVD of the indicated matrix.

Q: Given a ring S = S,+ with unity e, a ring Question 3. T =, and an isomorphism : S→ T. (a) Show that…

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Q: x=u+2v, y = −u+v, where S = R=R².

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Q: Find the characteristic polynomial of the matrix, using either a cofactor expansion or the special…

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Q: - ₂ F₁ (-m. a + m;c; x) = +++(c + m) -r (c) dm [x²+m-¹ (1-x)²-c+m] m

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Q: Find the maximum of f(x, y, z) = x + y + z subject to the two constraints x² + y² + z² = 9 1 + y² +…

A: The given problem is to find the maximum of function f(x,y,z) = x+y+z subject to the given two…

Q: 3. What is the effective rate for an account paying 7.2% compounded semi-annually?

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Q: Match the following functions with their asymptotic big- estimations. 2n + n! 100n² +n³ log (n!)…

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Q: At graduation, you have a student loan of $20,000. The loan has a fixed annual interest rate of…

A: Now the monthly payments when the loan amount is P taken for n months at a rate of r% is…

Q: Let f(x) be a function that is defined and has a continuous derivative on the interval (2, ∞).…

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Q: The drug concentration in the bloodstreams t hours after injection en mately by C-5.450s155, where…

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Q: A is a point on the y-axis such that AB // DC. Given points A(0,a), B(3,3), C(11,9), and D(8,13)...…

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Q: Royal Furniture bought a sofa for $940. The sofa had a $1,540 list price. What was the trade…

A: Given cost of sofa  bought is $ 940 List price of sofa is $ 1540 The discount on sofa is = 1540-940=…

Q: Use the data from problem 4 to answer the following: a). If your monthly payment is $327.75, how…

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Q: 1. Evaluate the following iterated triple integrals using spherical coordinates. -2√3 12-x²…

A: The given problem is to evaluate the given triple integral of rectangular coordinates by converting…

Q: 1. Evaluate the following integrals: C. dx √√(4x²+4x-3)*

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Q: (b) If F(x, y, z)=zzi+3ayj-22k, evaluate J, F-dS using Gauss's theorem when S is the closed cylinder…

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Q: Part 1 of 2 O Po The median weight of a boy whose age is between 0 and 36 months can be approximated…

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Q: Let f(x) and g(s) be two differentiable functions in R and f (2) = 8, g(2) =0, f(4) = 10, and g(4) =…

A: Solution :-

Q: upper and lower bound - minimum lower bound and maximum lower bound

A: This is a problem of Relation.

Q: 4. Prove that, for any vectors A, B and C, a necessary and sufficient condition that A x (B x C) =…

A: Given: Three vectors A,B, and C. To Prove: necessary and sufficient condition for A×B×C=A×B×C, is…

Q: Let f(x,y) = xy, g(s, t) (2s + 3t, 4s+t), and F(s, t) = (ƒ 0 g)(s, t). Evaluate DF(s, t) both…

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Q: uppose that the sn satisfies both limn→∞ s2n = 3 and limn→∞ s2n+1 = 3. (That is, the sequence given…

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Q: How infinity x 0 not zero? How come the final answer is infinity?

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Q: A man is moving away from a tow high at a rate of 2 m/s. If the eye l man is 1.6 m above the ground,…

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Q: 2. Use Fermat's method to find the general sub-tangent and tangent to the curve whose equation is…

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Q: Prove that if lim f(x) is of the form X-C g(x) 0 Write a 8-& proof. then lim ƒ (x) g(x) X-C =18.

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Q: If f: R→ [0, ∞) is a function such that f(x - 1) + f(x + 1) √3 f(x), then prove that f(x) is…

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Q: Consider T: R² → R² that projects vectors onto the line 3x - y = 0. Describe the eigenvalues and the…

A: As per our guidelines, we can solve first question for you. If you want other question to be solved,…

Q: Let S be a surface described by x² + y² + 32² = 1, z ≤ 0, and let F(x, y, z) = yi-xj+zx³y²k. Prove…

A: ∫S∇×F·dS=∫S∇×F·n^dS=ijk∂∂x∂∂y∂∂zy-xzx3y2=i2zx3+j-3zx2y2+k-1-1∵z≤0∴n^=-k∫S∇×F·n^dS=∬i2zx3+j-3zx2y2+k-…

Q: Evaluate the complex integral rx+yi [*** az (ebz² +c) dz v if a = 5.7, b = 0.5, c = 3, v = 4, x = 1…

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Q: 38. It is known that 14 is a primitive root for the prime p = 30000001. Let 14⁹000000 (mod p). (The…

A: A primitive root mod p is a number a such that a has order p-1. This means p-1 is the least positive…

Q: If z = x² - xy + 3y2 and (x, y) changes from (3,-1) to (2.96,-0.95), compare the values of Az and…

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Q: Find the coefficient of x8 y18  in the expansion of (1x2  -4y6)7

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Q: (e) Let S be a surface described by z² + y² +32²=1, z ≤0, and let F(x, y, z)-yi-aj+z³y²k. Prove that…

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Q: In 2007, the percentage of children under 18 years of age who lived with both parents was 70.6, the…

A: The set: A∪B contains all the elements that are present in set A or B. The set: A∩B contains all the…

Q: i. Using Arithmetic of Limits, find limn→∞ 2n / (3n + 5)&nbsp. ii. Working directly from the…

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Q: Find the value of the triple integral for w = -y sin(z) bounded by: x = 0, x = 1, z = 0, z = π, y =…

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Q: A company received a shipment of 47 laser printers, including 7 that are defective. 2 of these…

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Q: 3. Describe the key features (domain, range, x-int, y-int, asymptotes, key points, mapping notation)…

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Q: X6n-4 = h X6n-3 = n-1 f3i+29-f3ik h II (J3i+1p-fat-sh) (136429 - fak) f3i-1p-f3i-3h, i=0 X6n-2 = n-1…

A: Given: The information that leads to the required proof.We need to show the equations marked in…

Q: In each of the following boxes, write the numerical value of the corresponding term of the sequence…

A: The generating function of the given sequence ak is ax=-2x5-1.

Q: Question Three (a) Prove that F(x, y, z) = (y² cos1+=³)i+(2y sin x−4)j+(3zz+2)k is a conservative…

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Q: Let y = f(x) be a function differentiable on R with f(0) = 7. If for every x € R, we have d -f(x) ≤…

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