Find absolute maximum & absolute minimum f define on C0, 2]

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

A: answer is in next step

Q: The volume of a right circular cone of radius a and height y is given by V = dy volume of the cone…

A: Explained below

Q: Find the slope of the tangent line to the curve x² - xy - 2y³ 116 at the point (-2, 4).

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

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Q: The demand function for a bottle of Bethune Hand Sanitizer is p(x) = 0.78 +0.0003x, where x is the…

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Q: Use the indicated method to approximate the area under the curve f(x) = x³ + 28 on the interval [-3,…

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Q: Consider the curve parameterized by x 3t2 3 and y 2t°. Find equations for all tangent lines to this…

A: Here we have to find the equation of tangent line.

Q: Question Find fy for f(x, y) = eª ln(y). Sorry, that's incorrect. Try again?

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Q: 6. Find the intervals on [0,27) where f(0) = sin² (0) is concave upward/ concave downward.

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Q: The depth (in feet) of water at a dock changes with the rise and fall of tides. The depth is modeled…

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

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Q: If a rock is thrown into the air on small planet with a velocity of 30 m/s, its height (in meters)…

A: Given;  y=30t-4.9t2

Q: 15. Indefinite Integrals (Part 1) -/3 -2 a) + cscxcot x dx b) cosx--sinxr+4csc², sin x+4csc² x dx 3…

A: Solution is done in step 2

Q: Consider the curve parametrized by x = t4 + 1 and y t6 + 4t5. www dy a) Find in terms of t. dx b)…

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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: Please

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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: Find the length of the part of the curve y = = between x = 1 and x = 2.

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Q: 2. Given the function f(x) = 2x² + 3x + 1, a. Use the secant method to find the instantaneous rate…

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

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Q: 6 Find the derivative of: 9/x

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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: 1. Determine the following using the graph off provided below. If the value is infinite, specify oo…

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Q: Explain Newton Raphson method of finding root of the polynomial.  (will leave a like)

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Q: Find the area of the region enclosed by the graphs of x = y³ - 14y and y + 3x = 0.

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Q: 71 Compute Σ (5k2 + k - 3) i=1

A: Solved below

Q: Sketch the region whose area is given by the integral and evaluate it. Answer: 8 sin 0 Lote Lor r dr…

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Q: 1. Compute the solution to the following initial value problem y' + y = x, y(0) = 1 Using Picard…

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Q: Determine a, and as for each arithmetic sequence. See Examples 3 and 4. 29,. 24. -3, -7, -11,... 25.…

A: Since, the student has mentioned to solve only question number 24, so we are solving accordingly…

Q: In Exercises 5-7, rewrite the specified linear system in matrix form. 5. dx 6. dx 7. dp = 2x + y =…

A: 5.

Q: 3. A snowball is rolling down a hill, getting bigger as it goes. Assume the snowball remains a…

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Q: Question 2 Suppose f(6) = - 5 and f'(6) 5. Find the following. = d + 3x dz ((7x². : + 5)ef (²)) at x…

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Q: Find the absolute maximum and absolute minimum values off on the given interval. (Round all answers…

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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: 1.) lim 5-x 2.) lim 5-x 3.) lim 5-x

A: Given query is to find indicated limit.

Q: QUESTION 9 Eliminate the parameter to find a Cartesian equation of the curve. x = e²¹ - 1, y = 4f

A: Given that    x = e2t - 1  ,  y = e4t  We have to find the cartesian equation of the curve to…

Q: The equation of motion of a particle is s = t4 - 3t3 + t2 – t, where s is in meters and t is in…

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Q: Determine whether the series converges using the limit comparison test. Σ20k²+k-20 k=1 The series

A: We have to determine whether the series converges or not

Q: Let f(x) = x³ - 3x². Find the absolute minimum value of f(x) on the interval [1, 4].

A: The given function,  f(x)=x3-3x2 on the interval 1,4

Q: Given Cost and Price (demand) functions C(q) = 100q+40000 and p(q) = -2.4q+950, what is the marginal…

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Q: A bottle of milk initially has a temperature of 79°F. It is left to cool in a refrigerator that has…

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Q: If √√x + √y = 10 and y(9) = 49, find y' (9) by implicit differentiation.

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Q: differentiation to find in terms of x and y. dx In(y) + 3xy - 4 = x² - 2y 5. Use implicit

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Q: 1. Use the limit definition of derivative (no shortcuts!) to find the derivative of f(x) = 3x² + 2x.…

A: Recall: To find derivative,  f'(x)=limh→∞f(x+h)-f(x)h We have, f(x)=3x2+2x

Q: 13 5 3 1 5 Let F= 1 7 -4 and G= -1 2 3 12 3 2 2 5 Find 5F- 4G. 5F - 4G = 00 C

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Q: 1. Find the area of the region enclosed by the given curves. a) y - x² = 2x and x + 4 = y

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Q: Full Solutions 1. CHOOSE ANY TWO of the following problems and determine i) the Optimization…

A: Note: There are multiple questions. No specific question has been asked.So, We will solve the first…

Q: Let f(x) = 3 + 2x². (a) Estimate the area under the graph of f, the x-axis, and the lines x= -1 and…

A: Solve the following

Q: You are taking a multiple choice test that has 10 questions. Each question has 7 answer choices with…

A: A multiple choice test that has 10 questions. Each question has 7 answer choices with one correct…

Q: Consider the following. y = √x 4 X = 8 y = 2-x -6 -8 (a) Form the integral that represents the area…

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