The population (in hundreds) of fish in a pond is given by P (t) = 2t+ sin(2t - 10) t months from now. Find the rate of increase in the population after 5 months.

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A: This question is related to definite integration, we will solve it using given information.

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A: Let's find dz/du by using chain rule.

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Q: Question 2 Solve sinx+cosx=1 for 0≤x≤27 using: (a) The R-Method; (b) The T-Method.

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A: We need to find out the value of x and y that will minimize the cost.

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Q: Convert the point (x, y, z) = (2, 4, 1) to spherical coordinates. Give answers as positive values,…

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Q: 5 The gain of an amplifier is found to be G= 20 log (10V out) :: The tasks are to find equations…

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Q: write the cubic polynomial function f(x) in expanded form with zeros -4, -3, and 2 given that f(1)=…

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Q: I For the equation h(x) = -√x+1 a) Complete the table: h(x) x 0 1 4 a b) Use the appropriate tool to…

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Q: Use the Limit Comparison Test to determine if the series converges.

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Q: x+y=z=4 Solve the system of linear equations using Gaussian matrix x=y+z=2 (2x-y-z = -3

A: Given:

Q: Find the Jacobian J of the transformation T(u, v, w) = (u (—v— 7), −7u (1 − w), 2uvw) = (x, y, z).…

A: The given transformation is:T(u, v, w)=u(-v-7), -7u(1-w), 2uvw=(x,y,z)

Q: The pressure P (in kilopascals), volume V (in liters), and temperature T (in kelvins) of a mole of…

A: NOTE: Refresh your page if you can't see any equations. . the given temperature is T=330 K and the…

Q: Given the vectors v and u, answer a. through d. below. v = 10i+2j-11k u = 3i+ 4j a. Find the dot…

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Q: the that you don't need to use. f(x) = 3xe8x cal number of the N N N llowing reasing order. nter any…

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Q: Let - 2x3 - 2y³ - 2z3 + 2xyz - 284 = 0. дz дz Use partial derivatives to calculate and at the point…

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Q: Find the general solution to the homogeneous differential equation d² y dy dt² dt The solution can…

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Q: 6. Use the unit circle to evaluate the following: (a) (c) (e) (g) sin(7) cos (4) sin (¹5) csc (-²)…

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Q: #Find the distance the point (4,-3,-2) and between the line given by: Y+2=7-4 X-3 = 2+²/² -5 Find…

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Q: Solve the initial value problem dy dt = 4t + 9t², y(1) = 3.

A: We  will find the required solution of initial value problem.

Q: Jesaki Furniture Company has two plants that produce lumber used in manufacturing tables and chairs.…

A: Let number of days plant A operates be x and plant B operates be y We have to find Min Z = 830x +…

Q: 1 3. Convert the integral IM x² + y² + z² and evaluate it. (Think about why converting to spherical…

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Q: Using differentials, approximate √9.1

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Q: Convert the point (x, y, z) = ( – 5, 5, — 5) to cylindrical coordinates. Give answers either as…

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Q: Simplify the expression: 7 x-1 X x-1 + 3 x+1 1 x+1

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Q: Find the equation of the line tangent to the graph of f(x)=(ln x)5 at x=2. Answer in slope…

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Q: The length of a rectangle is increasing at a rate of 5 meters per minute and the width is increasing…

A: Given, rate of change of length, dLdt=5 meter/min. rate of change of width, dwdt=1 meter/min.…

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Q: Where is the focus of the curve: x^2=-12y

A: Focus of a curve  y=a(x-h)2+k is given by  (h,k+p)where p=14a

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A: volume of a sphere is defined as V=43πr3, where r is the radius of the sphere. For volume of…

Q: Evaluate the following integral. 4 3-3x 3-3x-y !!! 00 Sdz dy dx 4 3-3x 3-3x-y SS 00 0 dz dy dx =…

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Q: A firm manufactures a commodity at two different factories, Factory X and Factory Y. The total cost…

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Q: K Use the quotient rule to find the derivative of the given function. Then find the derivative by…

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Q: terminal point of 6pi x.y coords please

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Q: The radius of a sphere is decreasing at a rate of 2 meters per minute. When the radius is 12 meters,…

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Q: 3) (6349 #3 p. 114) Let y = f (x) = 14x^2 + 3x. Find the increment ∆y and differential dy. Find the…

A: f(x)=14x2+3xd dx(xn)=nxn-1dy=f'(x)dx∆y=f(x+∆x)-f(x)

Q: 9) Use the Intermediate Value Theorem to prove that there is a number c, such that, Ac)=-1 for the…

A: Given function:- fx=x5-2x3+x2+2

Q: 1. Find the equation of the tangent line to the graph of y=f(x) at x=-1, if fM)=3 and f(x)=ź

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Find the solution to the boundary value problem: The solution is y = d²y_6dy + 5y = 0, y(0) = 1,…

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Q: Sand is pouring out of a pipe and is forming a conical pile on the ground. The radius of the pile is…

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Q: What is the inverse of the function f (x) = 3(x + 2)² – 5, such that x = -2? Of(x)=-2+, +5…

A: Given query is to find the inverse of the function.