or the fucntions f(x)= log 1/2 (x)and g(x)= log 1/16 (x) where is f>g and g>f

Q: The function f(x) = ln(5-x) centered at a = 0 is represented as a power series f(x) = £ ¢n(x − a)".…

A: Radius of convergence of the series

Q: Using the power series for e*, evaluate 5.6e-¹, correct to 4 decimal places.

A: A power series is an infinite series having the form ∑n=0∞anx-cn. The exponential function is…

Q: equation u, = iuxx on (0, 1) with Dirichlet conditions at the variables and use (8) to find its…

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Q: Evaluate √√x² + y² dA, where D is the domain in the figure and a = 10. (Give your answer in exact…

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Q: (1) Show that W = {(a, b, c)|a + b + c = 0} is a subspace of V = R3 over R.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: (-4x -6 y)dy -(-6 x+4y)dx=0 a) Show that the differential equation is exact; b) Find a general…

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Q: - Let (fn)1 be a sequence of functions such that fnf on a set X. Which of the following condition(s…

A: X should be a closed interval.

Q: You borrow $950 from your brother and agree to pay back $1000 in 19 months. What simple interest…

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Q: Find the average rate of change for the function. f(x)= 1 x-8 between x = -1 and x = 1

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Q: Suppose Lorenzo wants to buy a truck. The dealer offers a financing package consisting of a 6% APR…

A: Suppose Lorenzo wants to buy a truck. The dealer offers a financing package consisting of a 6% APR…

Q: 8][ k=1 k+1 k2 x+ 2 k

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Q: find the domain (d) , range (r ) and asympote (a) of the graphof the function f(x) = (3/5) ^6x  A.…

A: Given function is  fx=356x The domain, range and asymptote of the graph of the function are…

Q: Let S be the plane defined by 2x-2y+2z = -4, and let T be the plane defined by -x+2y-3z = 6. Find…

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Q: (1 point) If log p = x and log q = y, evaluate the following in terms of x and y: (a) log (p³q−¹) =…

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Q: 6. Find the general solutions to the PDE Ux - Ut= = 1 U2

A: Let us consider the PDE P(x,y,z)zx+Q(x,y,z)zy=R(x,y,z) Lagrange's method for general solution of the…

Q: 5.) - 4i³ + 5i'

A: Since i2= -1 So, i3=i*i2=i*(-1) =-i . i7= i6*i   =(i2)*3i  = (-1)3i= -i

Q: 10 9 8 7 6 5 4 3 ON 2 1 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10 2 Find the area inside…

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Q: Given the four equations, solve the value of i₁, i2, ix, and Vx. 10 - 5i₁ - 14ix - 0.2Vx = 0 1st…

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Q: A survey of athletes revealed that for their minor aches and pains, 28 used aspirin, 52 used…

A: Let A represent asprin, I represent ibuprofen. The number of athletes who used aspirin are 28, the…

Q: 1. Let V₁, V2,...,Vn be n vectors in a vector space V. Explain what it means to say that these…

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Q: Graph the function y-20 sin (x) cos(x). 0sxsx by identifying the domain and any symmetries, finding…

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Q: Evaluate the following integral over the Region R. (Answer accurate to 4 significant places). | Sri…

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Q: (a) Let I3 denote the 3 x 3 identity matrix. What should be the shape of in order for I3 to be…

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Q: 1. Use Newton's method to approximate a root of f(x) = −x³ − 4x² + 2x − 6 starting at xo = 1 and…

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Q: The temperature at a point (x,y) of a solid E bounded by the coordinate planes and the plane…

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Q: Use linear approximation, i.e. the tangent line, to approximate 4.85 as follows: Let f(x) = x5. The…

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Q: 1. Write the addition and multiplication 2. Write the addition and multiplication 3. Write the…

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Q: For the graph of the function ƒ(x) = 56x – 12 + 1, find each transformation, stretch, compression…

A: Domain of the function is where the function is defined.  Range of the function is the value of the…

Q: Use separation of variables to find the production solution for the given differential equation. 02u…

A: Let ux,t=XxYy Given…

Q: 7x²+5t(x²)+3x=2t x(0)=1= x²(0) = 4 ot = 0.2 mexe airit 101 allua91 10 aceboA Use the Euler method…

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Q: Let R(x), C(x), and P(x) be, respectively, the revenue, cost, and profit, in dollars, from the…

A: We know that, Total profit = Total revenue - Total cost

Q: What is the probability of getting a sum of 20 when rolling three fair six-sided dice?

A: We know, Probability of an event E is defined by PE=Number of favorable outcomeTotal number of…

Q: Let u = -1 2 1 -Hand and v= 1 -2 2 R None of the others 2 -2 and x = 32 3 2 and B={u, v). Then [x]

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Q: Problem 1. Let L: R² R2 be a linear operator. Suppose that L(1,2)= (-2, 3) and L(1,-1)=(5,2). Find…

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Q: Draw the graph of the given rational function. p(x) = 4x² - 4x + 1 2x²5x + 2

A: We need to find intercepts , asymptotes , interval of increasing decreasing  and concavity , Also…

Q: (a) Find the direction for which the directional derivative of the function f(x, y, z) = √√x² + y² +…

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Q: Use Newton's Method to estimate a root of the function f(x)=6x+4−e^x Use the initial estimate…

A: The given function fx=6x+4-ex We have to find the root of the function using Newton's method with…

Q: Which of the following are true for all sets A, B, and C? (a) If A C B and BCC, then ACC. (b) If A B…

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Q: Prove that 4n++ 3n³+ n-3n² is O(n).

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Q: fn(2) (a) f is continuous on [0, 00). (c) f(x) = 0 for all z ≥ 0. nx, if 0≤x≤1/n; if x > 1/n. =. Let…

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Q: The system -2x+y-4z=0 y+2z+7=0 The system has only trivial solution. Select one: O True O False

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Q: Choose the correct region of integration √16-² √x² + y² dx dy. Assume that in each figure, the…

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Q: Q-28:- Use a chain rule for w = x² + yz, with x = 31² + 1, y = 2t - 4, z = t³ Using above…

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Q: Question 1 Consider a matrix: a) matrix A; A -2 7 -3 -3 -2 7 Find a row echelon form (REF) of the 7…

A: We know that a matrix B is said to be the inverse of a matrix A if we have AB=BA=I, where I is the…

Q: Solution to Part ii) of the question above is missing: [ii] Let ABCD be a tetrahedron with…

A: (ii) Given that, ABCD is a tetrahedron with vertices A(−4,1,2), B(0,2,−2), C(1,−1,2) and D(1,0,2).…

Q: Problem 2. Consider a map f: Mn,n(R) → Mn,n(R) given by f(A) = A+I for all n x n matrices A (where I…

A: I have given the answer in the next step. Hope you understand that

Q: have five boxes of banana. When weighs them two at a time, I obtain the following weights in pounds…

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Q: tried

A: We use definition of Laplace Transform.

Q: 2. der a map J given by J(A) for all n X N matrices A (where I is the n x n identity matrix).…

A: Given : A mapping f:Mn , nR→Mn ,nR define as fA=A+I for n×n matrix A . To Find : f is a linear…

Q: (11 Let 9₂ = T an n=1,2,... nti i) show that an <anti for n=1,2,.. ii) Find lim an пэто

A: