What are the non-permissible values for Select one: O a. x 0,-1,1 O b. no non permissible values O c. x 0,-1 O d. x= -1,1 x² X x+1 x²-1 ?

Q: Find all the local maxima, local minima, and saddle points of the function. 3 f(x,y) = 11x² - 2x…

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Q: If  f(x) = x2 + 2x + 1   then f(-1) =

A: Given, f(x)= x2+2x+1

Q: In(x) − 4x² + 1 lim xxx² + 3x - 2√x

A: The given limit is limx→∞ln(x)-4x+1x2+3x-2x We have to find the value of the limit.

Q: Graph the parabola and find its vertex and axis of symmetry. 2 y = x² + 8x +9

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Q: Find r(t) for the given conditions. r(t): r"(t) = -4 cos(t)j - 5 sin(t)k, r'(0) = 5k, r(0) = 4j

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Q: Find the following limits for f (x) = lim f(x) 00 1-3- lim X-3+ If necessary, select the most…

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Q: √r r→9 (r (r — 9)4 31. lim

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: JSF. Use the Divergence Theorem to calculate the surface integral F(x, y, z) = xye²i + xy²z³j -…

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Q: You invest $49,010 in an account earning 5.26% APR, compounded daily. How much total interest is…

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Q: If $4,000 invested in a bank account for 5 years, compounded quarterly, amounts to $4,871.10, what…

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Q: 3. Find the surface area of the torus described parametrically as r(u, v) =((2 + cosu) cos v, (2 +…

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Q: C. Evaluate the following inverse Laplace transforms. 3 1. C-1 (125 + -1 (125 + (+52) (s+5)²)

A: L-1{ 125s6 + 3( s + 5 )2 } Formula used L-1{ 1sn } = tn-1( n - 1 )!L{ e-atf( t ) } = F( s + a )L-1{…

Q: Evaluate the given Laplace transform L{t² *te¹} a. b. C. d. -2 (S-1)²s 2 (5+1)²5³ 1 (S-1)s³ 2…

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Q: Which of the following is equivalent to v = (-4, 3)?

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Q: Evaluate the integral. √√2 √√2 히 du du (Simplify your answer.)

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Q: Find the solution of the following differential equations. Show your solutions 6. (D6 + 3D + 3D² +…

A: To find the soution of the following differential equation.D6+3D4+3D2+1y=0

Q: The sum of two numbers is 18. Find the smaller number if the product of one of the numbers to the…

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Q: Find the degree three Taylor polynomial T3 centered at x = 0 for f when f(x)= = 1 (4x + 1)¹/2 1.…

A: Given that , fx=14x+112 find the degree three Taylor polynomial centered at x=0.

Q: Find the interval of convergence of the se- ries Σ n=1 an Vn+3

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Q: Find the compound amount for the deposit and the amount of interest earned. $7000 at 7% compounded…

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Q: 25. y = In xa bx

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Q: 12 Find the work done for a force F = N from x =1 to x =6 m. x²

A: Given: Force F=12x2 from x=1 to x=6 m

Q: The length of the arc of y = ln cos x from x = π/4 to x = π/3 equals______.

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Q: da xy² = x

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Q: A produce buyer for a juice company is buying pears. He makes a choice of either New York, Michigan,…

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Q: 3 Which of the following is the domain of the function f (x) = x ³ ? O All Real Numbers O [0, ∞) Ⓒ…

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Q: The topic is linear differential equation, answer should have the equation and the general solution

A: Please seethe below answer.

Q: Calculate for w = xyz. By

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Q: K Describe the end behavior of the polynomial function f. f(x) = 7x-2x³ Choose the correct answer…

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Q: If yo is the solution of the equations xy' + 3y = 2x, y(1) = 8, determine the value of yo(2).

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Q: Use 1 + tan² x = sec² x to evaluate tan xsec4 xdx

A: To evaluate the given integral

Q: bacteria culture grows with a constant relative growth rate. After 2 hours there are 400 bacteria…

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Q: 5x50 3 £ =ㅅ

A: The given curve is  y=x33,  0≤x≤3

Q: E{sinh-t}

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Q: A rock is thrown upward from a bridge into a river below. The function f(t) 16t² + 48t + 134…

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Q: The temperature in degrees Celsius on the surface of a metal plate is T(x, y) = 50 6x² - y² where x…

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Q: Find fx, fy, and fx. 23) f(x, y, A) = x2y + y² + x^²

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Q: 1²2₂ f(x) dx where f(x) = 2 4x² if -2 ≤ x ≤0 if 0<x<2

A: We have to solve given Questions.

Q: R = √√√6

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Q: 42. lim √√x = 0 0-x

A: Given query is to find the limit of the expression.

Q: Using green's theorem, evaluate the line integral xy^2dx + (1-xy^3)dy

A: By Green's theorem we get, ∫Mdx+Ndy=∫∫(∂N/∂x-∂M/∂y)dxdy

Q: Identify the inflection points and local maxima and minima of the following function. 6 = 7/7 (x² -…

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Q: 1. 2. Determine the tangent line to the graph of 3(x+y)-100xy at the point (3,1) Find given…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: A sequence is defined recursively by the given formulas. Find the first five terms of the sequence.…

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Q: 13. A right circular cylinder is inscribed inside a sphere with radius r = 3 inches. Find the…

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Q: Compute the percent relative error in computing the area of a square whose side is measured with an…

A: We need to find error in area.

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

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Q: Evaluate using L'Hôpital's rule. (a) lim(x + 1)² 21 (b) lim re 24x

A: Let's evaluate given limit by using L'Hopital's rule.

Q: A loan of $7,591 was repaid at the end of 11 months. What size repayment check (principal and in The…

A: Given  Loan amount , P = $7591 Interest rate , r= 11.7% = 0.117 Time , t = 11 months

Q: If f(x) = et and 8(x) = xe~_e= Find the inner product of f (x) and g(x) on the interval [0, 2]

A: The functions are: fx = exgx = xe-x-e-x To evaluate: The inner product of fx and gx on the interval…