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Q: could you please solve this problem

A: Concept:

Q: Write the sum using sigma notation: 1 1 1 1 У В, where 1.2 2 -3 3.4 128 · 129 n=1 A B =

A: The given sum is 11·2+12·3+13·4+⋯+1128·129=∑n=1AB. Here notice that every term is in the form of 1nn...

Q: Linear algebra

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Q: -5 Let L : +t 4 be a line and P(-1,–2, 1) a point. Let Q be the closest point on L to P. %3D 4 a) Fi...

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Q: Can I get the solutions and steps for this problem? Thank you.

A: Definition (Differentiability of two variable function): A real valued function f(x,y) is said to be...

Q: An investment is projected to generate a continuous revenue stream at the rate of R(t) = 40,000e0.0...

A: Given that, the function is Rt=40,000e0.02t. "It is known that, the future value after T years of in...

Q: A box with a square base and no top is to be made from a square piece of carboard by cutting 8 in. s...

A: Let x be the length of a side of the cardboard. Since we are making a square box, the dimensions of ...

Q: Consider the intergral of(2x + 1) dx from 1 to 5Estimate its value using 4 and 8 subdivisions of(i) ...

A: Note:- In given problem, you don't mention Simpson Rule name (Simpson 1/3 Rule or 3/8 Rule). Due to ...

Q: 12x5 + 15x4 + 100x³ . Find the critical numbers of the function f(x) Round your answers to three dec...

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Q: 3. Let vi = [1, -2,3], v2 = [-1,–4,5], and v3 = [5,-1,3] be vectors in R³. a) Use determinant to sho...

A: Concept: Let A is a matrix associated with vectors u, v and w. If vector u, v and w are linearly de...

Q: 1 dt, for x > 4. In(t) Let F(x) 4

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Q: In a certain town the bus tickets are numbered 0000 to 9999. Some children are collecting the ticket...

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Q: A function and its first and second derivatives are given. Use these to find each of the following. ...

A: Given that, the function is fx=27x-223x2 "It is known that, If the polynomial in the numerator is a ...

Q: Use Venn Diagram and set operations to find how many elements:

A: U=130A=50, B=30, C=60, D=30, A∩B=10, A∩C=20 C-A∪B=20, D∩B∪C=∅, D∩A¯∩B¯∩C¯=25⇒D∩A∪B∪C=25 ⇒D∩A∪B∪C=5 A...

Q: Approximate the area under the graph of f(x) = x^2 + 2 overthe interval [0, 4] with 4 subintervals u...

A: From the given information, it is observed that a = 0 and b = 4 and f(x) = x2 + 2. Note that, ∆x=b-a...

Q: Please show all the work including the test being used. Thank you

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Q: Your house is 2 km due north of a stream that runs east-west. Your aunt’s house is located 12 km wes...

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Q: find the first and second derivatives of f(x) = ln (x+1)

A: f'(x)=1x+1 and f''(x)=-1(x+1)2

Q: Consider the function defined by f(x) = -x + ae"-1, where a e R: (1) find a such that the graph of t...

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Q: The ratio Fib(n+1) /Fib(n) as n gets larger is said to approach the Golden ratio, which is approxima...

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Q: Express the series in terms of elementary functions and find the radius of convergence of the sum. E...

A: Solution:Given series is ∑n=0∞(xn-x2n+1)

Q: Use Stokes' Theorem to evaluate curl F. ds. F(x, y, z) = x²y³zi + sin(xyz)j + xyzk, S is the part of...

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Q: Mary had 1 kilogram of cheese.She used 1/4 kilogram for sandwiches.Which of these shows how much che...

A: Initially Marry has 1 kg of cheese. She used 14kg of cheese to make sandwiches.

Q: Find the partial S8 for the geometric sequence with a = 5, r = 3. sum %3D

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Q: Use the black and red chips model to describe three different sets, Set 1, Set 2, and Set 3, of blac...

A: Let black chips represent positive integers and red chips represent negative integers. Take the miss...

Q: A number of two digits exceeds twice the sum of its digits by 26. If the digits are interchanged, t...

A: Let the original number is 10x+y, and as the number exceeds twice the sum of its digits by 26, so 1...

Q: Let L : +t 2 be a line and P(5, –1, -2) a point. Let Q be the closest point on L to P. !! a) Find th...

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Q: parametric equations

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and s...

Q: Graph the curve traced by the given vector function r(t)=ti +2tj+costk;t>0.

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Q: 14 - BIU 343.4 +5.607%3D 800.54 + 90.52%3D 809.144 15.963D 94.9 41.871%3D 767.3 24.9 = 803.309 133.3...

A: This is addition and substraction of two numbers.

Q: Find the general solution

A: We have given (D3+7D2+6D)y=0.

Q: consider the nonhomogeneous linear system { dr * = a1 (t)x + b1(t)y + fi(t). * = a2(t)x + b2(t)y + f...

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Q: Find the partial sum S16 for the arithmetic sequence with a = 7, d = 7. S16

A: Given that, the value of a=7, d=7 and n=16. "It is known that, the formula for the sum of first n te...

Q: There is a 60% chance of rain today and a 60% chance of rain tomorrow. Assume that the event that it...

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Q: IV. VThe students must take part in at least one of the activities among the extra curricular activi...

A: Since there are multiple questions the 7th question is answered.Kindly repost if any particular ques...

Q: #88

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