If w In(4) cos(2yz - 3), x = log(t), y = 4et² and z = sin(t3-1). Find d

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A: Let n be an odd integer.     => there exists some integer k such that n = 2k + 1.     => n3 =…

Q: (9) Two objects and x₂ on a coordinate line at the end of 5 seconds are 1₁ = 35²³-125² + 185 +5 and…

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Q: SET-UP the double integral which gives the vol- ume of the solid in the first octant enclosed by the…

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Q: 3 (a) From first principles, find To(x), the Taylor series expansion of (1 - x)-¹ about x = 0.…

A: Solution (a):-

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Q: 2n If for n = N, Σ(-1) (²n C₁)² = A, then find the value of (2 k=0 2n Σ(-1) (k-2n) (2n C)². k=0

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Q: 2n+2 52n+1 3n+2, 22n+1 is divisible by 19 co dady M N [ day f04+ 204d (21)

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Q: Find consumer's surplus for the demand function P demand of x = 20 200 T x + 50 at the

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Q: True

A: Here we use properties of diagonalizable matrix.

Q: Show that the polynomials Po(x) = 1 and P₁(x): = x are orthogonal on the interval [-1,1] with…

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Q: The further x is away from the point of tangency, the better the tangent line approximates the…

A: False

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Q: Use the method of undetermined coefficients to solve the system. dx dt dy dt = 2x + 3y - 7 = -x - 2y…

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Q: ) Use Green's Theorem to evaluate the line integral along the given positively oriented curve: F. dr…

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Q: Given h(x) = 2x² + 10x - 48, a) determine its y-intercept. b) determine its x-intercept(s) using the…

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Q: Often sales of a new product grow rapidly at first and then level off with time. This is the case…

A: Given function is: S(t)=100-100t^(-1), where t represents time in years.

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Q: f'(x) f"(re) = 2 = 2000.062 +1222 -2216 -122 +12

A: Differentiation is the rate of change of the dependent variable with respect to the independent…

Q: Let the position of a swinging pendulum in simple harmonic motion be given by s(t) = cos(t) + sin(t)…

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Q: Use induction to show that A₁ U A₂ U U An|A₁|+|A₂|++|An, where A denotes the number of elements in…

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Q: Obtain the general solution. (EXACT EQUATIONS) 2. y²dx = (xy - x²)dy

A: Given ode is y2dx =(xy-x2 )dy we have to calculate the general solution of the given ode '

Q: Find d (3x + 5y)dA where R is the parallelogram with vertices (0,0), (5,3), (4,-2), and (9,1). R Use…

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Q: Click the best answer *

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Q: Find the area between the graph of y=5-5x^(2/3) and x-axis and -1≤x ≤8 using the limit definition…

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Q: Why I cannot find that answer? Can you label the answer out?

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Q: one math class, the first exam had an average score of 81.2% with a standard deviation of 10.9%. The…

A: Answer Giventhat: First exam: Average score = 81.2% Standard deviation = 10.9% Second exam: Mean…

Q: Show sequence (-1)^n has uncountably many subsequences

A: The given sequence -1n. We have to prove that the sequence has uncountably many subsequences.

Q: 3. Suppose that f(x)=2000x-.02.r³+6²-2216r-1920. Find all local and global maxima and minima of this…

A: Given: The given function fx=2000x-0.02x3+6x2-2216x-1920. Our aim is to simplify the highlighted…

Q: From step 1, why is it p(0) and p(1)? Isn't it supposed to be alpha(0) and alpha(1).

A: The objective is to check some variables.

Q: show each step

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Q: A mass weighing 4 pounds is attached to a spring whose spring constant is 9 lb/ft. What is the…

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Q: (16) Prove that 22n – 1 is divisible by 3 for all n € N.

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Q: For each of the following series, determine whether the series converges or diverges. (Sum from 1 to…

A: The given series, 1. ∑n=1∞4n+2n3n 2. ∑n=1∞sinn3 3. ∑n=1∞1n2+2n 4. ∑n=1∞n+2-n. We have to check the…

Q: In each problem sketch the graph of the given function and express f(t) in terms of the unit step…

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

Q: Score on last try: 0 of 1 pts. See Details for more. > Next question You can retry this question…

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Q: Set up the integral(s) to find the area between the graphs of f(x) = 25-x² and g(x) = x - 5 from x=…

A: Given: fx=25-x2 and gx=x-5. We have to set up the integral to find the area between the graphs of…

Q: QUESTION 7 To test the effectiveness of a new treatment for patients with skin cancer, a randomised…

A: Randomization is necessary for these types of tests. So option one is wrong.

Q: 17. f(t) = (t 3)u2(t)-(t-2)uz(t) Solution: We can write Differential Equations f(t) = (t2)u₂(t)-…

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Q: 2. tds-t³edt 3 = when s= // (3t+1) sdt t=1

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Q: ~ Define an equivalence relation on Z by a b if a - b is even. Show that . equivalence relation.…

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Q: For each of the following series, determine whether the series converges, diverges to ±∞, or…

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Q: Obtain the particular solution. (EXACT EQUATIONS) 3. 3y(x²-1)dx + (x³ + 8y − 3x)dy = 0, when x = 0…

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Q: (7) 2. Graph the rational function below. Find the intercepts, label and graph all asymptotes. x-1…

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Q: Find any critical numbers for the function f(x) = (x+2) and then use the second-derivative test to…

A: The given function is fx=x+26. Our aim is to find the critical points of the function if exits and…

Q: Determine whether the argument is valid or invalid. You may compare the argument to a standard form…

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Q: Use the Gram-Schmidt process to produce an orthogonal basis for the column space of matrix A. C A =…

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Q: Consider f: Z+ → Z defined as follows. x)=2x-1 Isf a bijection (YES NO and JUSTIFY)? 2. Consider f:…

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Q: List the intervals on which the function is increasing, the intervals on which it is decreasing, and…

A: Let f be the function whose graph is given.