log_b x=4 log_b y=2 solve log_b(x^4y^5) log_b(x^b/y^4)

Q: F(t) = 5.2t+1-3 500t-1500 t-1 for 0 4

A: Here we need the limit of the given discontinuous function as t→∞, hence we need to use the part of…

Q: Q2: given that G=40 1=55 C = 0.8Yd + 25 T = 0.1Y+ 10 Calculate the equilibrium level of income(y)…

A: Given: G=40, I=55, C=0.8Y+25, T=0.1Y+10   To Calculate: The equilibrium level of income (Y) To find:…

Q: If F(s): = -38² + 8 + 3 is the Laplace transform of f(t), find the following, correct to three…

A: Given,           Fs=-3s2+s+3s4s2+5s+9.

Q: Step 3 of 4 The approximate Riemann sum of f(x) = x³ - 9x on [0, 7] using n rectangles with right…

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Q: Assuming the petrol burnt (per hour) in driving a motor boat varies as the cube of ts velocity, show…

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Q: sin²x, - TO T X<2 Find the intervals in Let f(x)=sin³x+λ 2 which should lies in order that f(x) has…

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Q: Find the maximum value of the function f(x, y) = xye-(²x+3) in the first quadrant.

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Q: Proof by contradiction. There is no largest composite number  contradiction

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Q: use some form of technology to determine a complete set of eigenvectors for the given matrix A.…

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Q: - Prove that the sequence an has a convergent subsequence. 3 (n² + 1) sin n³ n² + n an

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Q: LL' is the latus rectum of the parabola y² = 4ax and PP' is a double ordinate drawn between the…

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Q: By using the Bisection method to find the root (only one root) of the function: f(x) = 8x3 – 18x2 +…

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Q: What is the kind of relation between the two commodities ?

A: Relation between the commodities: The relation between the two commodities can be determined by the…

Q: You are purchasing a home for $150,000 at a 4% APR.  Your loan period is 360 months.  If you make…

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = x³, 0≤x≤ 4

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Q: Show that {f in C[a,b]:f(a)=f(b)} is a subspace of C[a,b].

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Q: Find the mean and standard deviation of a normal distribution that approximates the binomial…

A: Given n=200, p=0.25 (46)  x =np    =200×0.25    =50∴x =50 (47) σ=np1-p  =2000.251-0.25 =6004  =6.12

Q: (2x-3, 1≤x≤3 eal value of b such that f(x) has the smallest value at x =

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Q: In the restaurant above, you’d like to order 5 appetizers out of the 9 options given. How many…

A: Given that there are 9 varieties of appetizers and choosing 5 appetizers from it. The objective is…

Q: A car, 15 kilometers directly east of a bus, moves west at 80km/hr. At the same moment, the bus…

A: Given distance AC=15 km Let at time t their distance is minimum  Therefore at time t distance travel…

Q: (a) Show that for each complex number z ‡ 1, (b) Show that (c) Show that η n Στ k=0 Text Σcos(k0)…

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Q: Let an be a convergent sequence such that lim an = 0. Let bn be the sequence defined in the…

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Q: Give an example of each of the following or prove that such a request is impossible. a) Unbounded…

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Q: . State whether the series converges absolutely, conditionally, or not at all. ∞     n = 1(−1)n + 1…

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Q: Let k ER\{0}. Give an example of a function f : R² → R² and c E R² such that lim || f(x) || = k but…

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Q: Prove the following using the Mean Value Theorem: (a) For any real numbers x and y with x > y, we…

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Q: η 1 Σ;( + 1) = =n(n + 1)(n + 2 i=1

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Q: Find the value of objective function of the initial solution of transporting problem using…

A: Objective function Min : 3x11+8x12+x13+2x21+4x22+5x23+9x31+6x32+7x33…

Q: Letf: [0, ∞)→ [0, ∞) and g: [0, ∞) → [0, ∞) be non-increasing and non-decreasing functions…

A: Given  f: [0,∞)→[0,∞)g: [0,∞)→[0,∞)hx=gfx Clearly hx≥0, ∀x since g:[0,∞)→[0,∞) Now  dhxdx=ddxgfx…

Q: I'm a little confused in the first couple steps of the double integral after converting to polar.…

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Q: Prove or disprove: ne N. If lim xn exists. Let m≥ 2, and let n, Yn E Rm for all 0 and lim(n yn)…

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Q: Let A, B E Mn (F) where n is odd and the characteristic of F is not equal to two. Prove that f AB-BA…

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Q: what is the answer of question (3)

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Q: Part 1 a) What can you say about a solution and the behavior of the equation y'= -y² just by looking…

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Q: The average apartment rent in country A is $1330 per month. Jacob has an apartment in city B and one…

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Q: 7. (Solve a simpler case or similar problem then look for a pattern) Find the last digit of the sum…

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Q: Let f: [2, 7] [0, ∞) be continuous in [2, 7] and differentiable in (2,7). Then prove that there…

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Q: In exercises 5-10, find parametric descriptions for the following surfaces. 6. Paraboloid = ² + y²,…

A: Given paraboloid is circular paraboloid.

Q: create any mathematical problem and show its solution.

A: A mathematical problem is a problem that can be represented, analyzed, and possibly solved, with the…

Q: . Set up only. Do not evaluate! Find the mass of the solid in the first octant bounded by the…

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Q: Find all extrema and any inflection points for the function f(x)=sec² x-2 tan x on the interval T T…

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Q: Prove that there are infinity many prime numbers.

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Q: A function y = f(x) is represented parametrically as follows: x = o(t) = t-5t³ - 20t+7 y = y(t) =…

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Q: Find the number of positive integers not exceeding 1000 that are either the square or the cube of an…

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Q: A composition sensor is used to continually monitor the contaminant level in a liquid stream. The…

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Q: 3.9 Obtain lower and upper bounds for Y, (G).

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Q: Translate the following statements in symbolic form using quantifiers. Then negate the symbolic…

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Q: Set up (do not evaluate) the iterated triple integral in spherical coordinates that gives the mass…

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Q: 14. An inverse ratio is the reciprocal of a given ratio. Gear A has 96 teeth, and gear B has 12…

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Q: non-negative continuous function. 5π Let f(x), x ≥ 0, be a If f'(x) cos x ≤ f(x) sin x, V x ≥ 0,…

A: The given problem is to find the value of f(5π/3) for the given inequality f'(x) cos(x)&lt; f(x)…