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Q: b) Graph the solution in the case that b = 40 fish/year. Describe the solution. c) Graph the…

A: Here number of fish population as function of time ( in year)  is found out to be  yt= b+5-be0.01t

Q: Find I's 1-25 s(5²+1)

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Q: Determine the maturity value of Php100,860 if it is invested at 7% simple interest rate for 265 days…

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Q: Find a general solution of the system x'(t) = Ax(t) for the given matrix A. 6-6 - 6 6 4 4-6 -4 A = -…

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Q: How much salt is in the tank after 1 hour?

A: Here x in salt in gram in the tank after t minutes.

Q: Let Z1 and Z2 be roots of the equation z + pz + q = 0, where the coefficients p and q may be complex…

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Q: Fill in the meaning of each of the following symbols. P, q, r, s, t, etc. ➜>> N A Meaning: Meaning:…

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Q: Explain why S is not a basis for R². S = {(2, 5), (4, 10)} S is linearly dependent. O S does not…

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Q: w √√x² + y² dv, where W is the region between the half cone zwx+yeyers, and ircular paraboloid z=2-…

A: A volume integral is given over the region W. The aim is to find the volume integral for the given…

Q: A roast turkey is taken from an oven when its temperature has reached 185°F and is placed on a table…

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Q: ob and Doug play a lot of Ping-Pong, but Doug is a much better player, and wins 70% of their games.…

A: Solution

Q: Can you answer the second part to this question?

A: We need to use fundamental theorem of calculus  Part2 If f is a  real-valued function on a closed…

Q: Find the area enclosed by the given curves Sketch the region enclosed by the given curves. y = 5x…

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Q: Find the isogonal trajectories cutting at an angle of arctan 4 to the family of curves y = Inx + C.

A: The given family of curves is y=ln(x)+C, where C is the constant of integration. The objective is to…

Q: 2 By = 2x3 + 3xy + 10 when y = 0, Ju ду = sinx + 3 and u = 0

A: We have, a second order partial differential equation . We need to find the value of u here. Here,…

Q: Let S be the portion of the cylinder x² - 6x + z = 4, oriented by upward-slanting normal vectors,…

A: The given vector field is F = xy, 3xz2, yz. Our aim is to find the flux or surface integral of the…

Q: Complete the description of the piecewise function graphed below. -7-6-5-4-3-2-1 f(x) = O { = { { 6…

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Q: x^2y" + x (1−x)y' − xy = 0. a. Show that X0=0 is a regular singular point. b. Determine the indicial…

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Q: The Science club is selecting its representative for a competition. The members rank the 4…

A: Voters 2 5 4 4 1st Berlin Antone  Charles Berlin 2nd Charles Berlin Berlin Charles 3rd Dianne…

Q: - Consider the initial-value problem t dr = te ^¹i + (₁2²+1) ³ dt 7(0) = i + 3j (a) Solve the…

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Q: Find the coordinates of a point on z-axis which are at a distance of 7 units from the point P(3, -2,…

A: Given that a distance of 7 units from the point P(3, -2, 5).

Q: Which of the following is equivalent to the statement "Mark is not smart and Mark is not…

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Q: Suppose you are driving down a highway at a constant speed of 55 miles per hour. After traveling for…

A: Given: Speed=55 milhr           Total time traveled=5 hrsRequired: Total distance traveled

Q: Select all the sets which are a basis for R2. You do not need to row-reduce any matrices. {[*]H[4]}…

A: A basis B of a vector space V over a field F is a linearly independent subset  of V that spans V.…

Q: Consider the following system. λ = dy dt Find the eigenvalues of the coefficient matrix A(t). (Enter…

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Q: 1. Consider the three points P(1,0, 2), Q(-2, 1, 4), and R(2, -2,2). (a) Compute PQ PR. Show your…

A: The given problem is to find the cross product of PQ and PR and also to find the equation of plane…

Q: 1 If S(n) = 1 + = + = + 23 + S(1) + +-(ne N), then prove that n S(2) + ... + S(n-1) = (nS(n) − n) or…

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Q: A rectangular lot is to be enclosed with two types of fence. Two opposite sides must receive a…

A: It is given that the rectangular plot is to be enclosed with two types of fence. Let x be the length…

Q: Compute the product or state that it is undefined. -1 3 -8-5 3 4 0 -6-8 -3 -3 -24 5 -18 8 -3 85 95…

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Q: 6. Consider the vector field defined by F = ( 1² ) ² + ( 3,³² m (2). X 2 2√y (a) Use the component…

A: Since F is not conservative so we can not solve the part b and c.

Q: Example. 2 -5 Consider x² = ( ² =_=_=) * -2 (a) Find a fundamental matrix. (/(t). (b) Find the…

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Q: -. Sketch a possible function with the given features: i. Vertical asymptotes at x = -1 and x = 3…

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Q: Find a basis for and the dimension of the solution space of the homogeneous system of linear…

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Q: (sin(2x₁ + 0.3) − x₂ - 1.2 = 0 Solve the system (2.8x₁ − cos(x₂ + 1.5) + 3 = 0 -5 ≤ x₁ ≤ 0,-5 ≤ x₂ ≤…

A: The multivariate Newton Raphson method uses the following formula to perform the iterations and to…

Q: 8. Using cylindrical coordinates, find 0≤x≤ 2. W with dv, with y²dV, a a region W given by x² + y² ≤…

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Q: ABC Co. has current assets as follows: Cash Accounts receivable Inventories 0.96 O 1.55 If ABC Co.…

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Q: Find the volume of a solid bounded by z = 4 - y2 and the planes z = 0, x = 0, and x = y using…

A: The given problem is to find the volume of the solid bounded by z=4-y2 and the planes z=0, x=0 and…

Q: от от T T 2 əx² + ду 2 = 0

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Q: Find y(t) solution of the initial value problem y"+y'-20y=7δ(t-2), y(0)=2, y'(0)=3 where δ(t) is the…

A: The given problem is to find the solution for the given initial value problem with given initial…

Q: Use Euler's Theorem to find a number x, 0 <x<7, such that x^21 = 3 (mod 8)

A: By Euler's theorem, for any number x such that 0 &lt; x ≤ 7,        xφ(8) ≡ 1 (mod 8)       =&gt; x4…

Q: Problem 10: A fish hatchery has 500 fish at t = 0, when harvesting begins at a rate of b> 0…

A: A model is given, which is as follows: y't=0.01y-b, y0=500 The aim is to find the solution in terms…

Q: Use the method of undetermined coefficients to find the solution to the following e problem: y"…

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Q: Prove that if p and q are distinct odd primes, then we have (p-1)(q-1) 4 25 52 TID = (-1) quadratic…

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Q: 6. Let T is a linear operator on a finite-dimensional vector space V. Prove that V R(T) + N(T)…

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Q: What would the integral be (both Shell and Disk Method) for solid generated by revolving the region…

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Q: Solve, round the answer to five decimal places: 5-2=18 O 5.60000 No solution exists. 1.86135 3.79589…

A: The given problem is to find the solution for the given equation 5x-2=18.

Q: (x - 2)¹ Determine the radius and interval of convergence of (−1)”. n=1 n3n-1

A: An infinite series will be convergence when  L=limn→∞an+1an&lt;1

Q: ngent at point P and normal to gent meet conjugate axis at A -pectively. The circle on AB as c sses…

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Q: Draw a fractal by starting with a straight line then recursively altering each line segment as…

A: Follow the steps and generate the fractal.

Q: ace transform of the f 1+ sin2t

A: