If q'(t) is the growth rate of a population of a fish population in fish per month, what does q'(t)dt represent?

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A: Given: The average price of the property from 1994 to 2004:

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Q: Evaluate Ic (2x - y) dx + (x + 3y) dy. C: arc on y = x5/2 from (0, 0) to (4, 32) X

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Q: Determine whether the series converges. 1 k+11 The series

A: The given series,    ∑k=1∞1k+11

Q: Given the graph of the function f(x), answer the following question. -30 B C F -20 -10 A D E 4 -10…

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Q: Find the area of the shaded region. = √cos 20 9 cos X r

A: Area = integration of 1/2 (r2^2 - r1^2) d(theta)

Q: Q1) Use explicit finite difference method to solve the following differential equati

A: answer is in next step

Q: (r2 – 4xy – 2y2) dx + (y2 +4xy – 2x2) dy = 0 - Solve

A: To solve the differential equation.

Q: Determine whether the alternating series converges. 31n k Σ(-1) k k=3 The series diverges.

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Q: Use Green's Theorem to evaluate F. dr, where F(x, y) = (y - cos y, x sin y) and C is the circle (x -…

A: Solved below.

Q: me origin is 6i + 8j, then the me direction of a = 3i + 4j at

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Q: The rate of change of the temperature, r(t), in an oven (in degrees Celsius per minute) t minutes…

A: To find out the temperature change using simpson rule.

Q: Consider the following theorem. Theorem If f is integrable on [a, b], then [ºf(x) dx = dx = lim…

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Q: 0 2 4 Let A = -2 2 5 and B= 7 -1 1 Find A-B. A - B = 0 1 -6 -35 25 6 3 8 [000) X 00 000 5 [00]…

A: Given A=   0   2   4-2   2   5   7-1  1 and B=   0-3   5   1   2   5-6   6   3.

Q: 4x subject to the condition that y = 3 when x = 2. Preview TIP Enter your answer as an expression.…

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Q: A fence is to be built to enclose a rectangular area of 240 square feet. The fence along three sides…

A: Explanation of the answer is as follows

Q: Find the first partial derivatives of  1) z = x^3 - xy^2 + 3y^2

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Q: A piece of wire is with a length of 4 m is cut into two pieces, and the resulting two pieces are…

A: According to given,    Let x be length of the portion that is bent into a circle   Therefore, 4-x=…

Q: Find the average value of f(x)= e^-x on the interval [0,2]

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Q: Find the following using the table below. x 1 2 3 4 4 2 f(x) 1 3 f'(x) 2 3 4 1 g(x) 13 4 2 g'(x) 2 4…

A: Chain Rule of differentiation : fgx' = f'gx .g'(x)

Q: 58. 10 (k² - 4k+7)

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Q: 9) Evaluate the following indefinite integrals a. [(5x¹ + x² + x) dx b. 9x²(x³ +5)*dx c. S7 C. dx…

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Q: A county's statistics indicate that the number of white-collar crimes is growing according to the…

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Q: QUESTION 8 If you save $270 per quarter for retirement in an account that earns 8% interest per…

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Q: x2 (x− 1)(x4 +8x²+16) dx- S

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Q: The supply function for a product is given by p = 50+ 100√2x + 5, where x is the number of units…

A: The supply function for a product is given by p=50+1002x+5, where x is the number of units supplied…

Q: = F(x₂) For the function f(x) = sin(x), write Newton's formula as n+1 = solving f(x) = 0. Type in…

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Q: For the given p-series, identify p and determine whether the series converges. Σk-9/8 A=1 P =…

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Q: me population of a colony of mosquitoes obeys the law of uninhibited growth. Use this information to…

A: Given query is to find the population after 4 days.

Q: 2. The following function S-60,000e models the decay of sales for a give product over time in months…

A: we have to find out

Q: Find an equation for the tangent line to the curve parametrized by x = e³t sin(πt) and y = et at the…

A: answer is in next step

Q: Set up and evaluate the integral that gives the volume of the solid formed by revolving the region…

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Q: · ln(1+x) a) dx f (1+x)7 u= du = b) f(2x + 1) tan-¹ √√x dx U= du = c) f x² sin(2x) dx U= du = dv =…

A: I have performed integration by parts for the part a) and for the rest I have mention the u and dv…

Q: Consider the following. y 20 15 10 f(x) = 25 (5, 25) g(x)=x² 5 -4 -2 2 4 6 Q (a) Form the integral…

A: Given query is the area of the shaded region.

Q: Obtain the Lagrange interpolating polynomial for a certain function f of which we know that: f (-1)…

A: Lagrange interpolating polynomial: The Lagrange interpolating polynomial is a degree polynomial that…

Q: Prove the following statement: 2" ≥2n

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Q: 7. Find the partial fraction decompositions of the following rational expressions. a) b) (x²+11x) dx…

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Q: d. Sketch the piecewise function x²2x-5 -4 ≤ x < 7 F(x) = 30 - 7 ≤ x ≤ 12 -x + 72 5 e. Describe the…

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Q: 3. [_x dx √2 +*

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Q: Find the following using the table below. X 1 2 3 4 f(x) 4 2 1 3 f'(x) 3 1 4 2 g(x) 3 4 2 1 g'(x) 1…

A: Value table,

Q: Which of the following statements are TRUE? (Circle ALL that Apply) Optimization can mean…

A: Two multiple choices questions are given. These questions are from algebra and calculus. We have…

Q: D(x) = 62-0.1x

A: answer is in next step

Q: The population of a southern city follows the exponential law. Use this information to answer parts…

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Q: Calculate[r₁(t) · r₂(t)] and [r₁(t) × r2(t)] first by differentiating dt he product directly and…

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Q: a graphing utility to construct a table of values for the function. Round your answer to two deci H…

A: Given query is to find the table using graphic utility.

Q: 7. Find the slope of the tangent line at point (-2,2) on the curve f(x) = 2x² + 3x using First…

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Q: Consider the solid torus (the donut-shaped solid shown in the figure) with radii 5r and 6R. a = 6 b…

A: We have to find the integral and volume.

Q: * (2 √x (2+x) dx

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Q: List all possible rational zeros given by the Rational Zeros Theorem (but don't check to see which…

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