Consider the function y = 5cos(x). What are the exact values of C in the interval [0, 2pi] such that f(c) = fave ?

Q: Using trigonometric substitution, the integral / 2-x² dx x4 is equivalent to x/3 A 8 sin?0 cos?0 de…

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Q: A rectangular lot having an area of 5000 sq. meters is to be fenced on three sides. Find the minimum…

A: topic - application of derivatives

Q: f (x) = x³ – 23 6x + 1. | e sure to verify the c

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Q: Suppose that enrolment in CLSU has been increasing over the years since year 2013 according to the…

A: Given query is to find the enroy in 2022.

Q: Directions: In implicit differentiation, we differentiate each side of an equatiom wariables…

A: Topic:- function and it's Derivatives

Q: 6. Determine, with reasons, the absolute maximum and absolute minimum of f(x) = x/2 – x on the…

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Q: Given f(x, y) = 6x?y then the total differential df = %3D 12аy dx + 6x? dy O 2xy dx + x² dy O None…

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Q: Write out the MacLaurin polynomial of degree 12 of the function h(x) = cos(x2). (b) Use you answer…

A: Given

Q: Find the maximum value of the function f(x) = x3 - 9x2 + 15x - 5.

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Q: (x? - 1)² dx = x$/5 - 2x/3 + x + C Select one: O True O False Jdx/(1 - 2x) = 1/2 In|1 - 2x| + C…

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Q: Consider the function Z = 2x²(1 – e-) where x and y are given to be 5 and In 5 respectively. Find…

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Q: A student throws a ball upward from a height of 48 feet, initially at 32 ft/sec. The function that…

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Q: A tractor pull contest is held at a county fair. The tractors in the contest pull a sled on which…

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Q: Why do we use radians rather than degrees in Grade 12 math? You may use examples to explain your…

A: We use radians rather than degrees because of below reasons.

Q: Determine whether the following statement is true or false. If this statement is true, explain why.…

A: Explanation of the answer is as follows

Q: f(x) dx = -4, f(x) dx = 6, g(x) dx = 8 - If g(x) dx b. c. 3f(x) dx d. dx x) - g(x)] dx g(x)] dx e.…

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Q: dx Assume that x=x(t) and y = y(t). Let y = x +1 and 4 when x 5. dt dy Find when x = 5. dt dy…

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Q: Compute the line integral of the scalar function f(x, y, z) = 2x² + 8z ver the curve c(t) = (et, t2…

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Q: Let the region R be the area enclosed the function f(x) = x², the horizontal line 6, and the y-axis.…

A: Explained below

Q: Pharmaceutical theft has been rising rapidly in recent years. Experts believe that pharmaceuticals…

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Q: 1„2 The graph shown is f (x) = ±x². 4 3 21 1 54 3-2 -14 1 2 3 4 5 -2 3 4 If g(x) = `f(t) dt, what is…

A: This is a problem of antiderivative function. Based on the general formula we will answer the…

Q: Find a positive number such that the sum of the number and its reciprocal is as small as possible

A: Second Derivative Test :   Firstly find critical point of f(x).i.e, f'(x)=0 and find the value of…

Q: Consider the function y = 4x3-3x2+6x-9. What is the average value of the function on [-2, 4] ?

A: average

Q: Find the equation of the tangent line and the normal line of the curve at given point: 1. y? = ,…

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Q: Solve AABC subject to the given conditions, if possible. Round the lengths of the sides and measures…

A: b=144.9c=123A=114.6°Law of cosine;a2=b2+c2-2bc cosA…

Q: x²+1, xs1 f (x) dx if f (x) = 2, raluate x> 1 A) 10 20 B 3 12 8 D 3

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Shasta was working at differentiating a function p(x) and they found that p'(0) = In Unfortunately,…

A: We will determine the value of the constant a as following.

Q: A company has identified that the revenue R for a particular product is given by the function f(x) =…

A: topic - application of derivatives

Q: Answer the following True or False, sin dt 圭 dt 0. 1 t? t cos O True O False

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Q: A company has identified that the revenue R for a particular product is given by the function f(x) =…

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Q: (8x3 + 2x) dx = 2x4 + x² Select one: O True O False (sinx/cos-x)dx = sec x + C Select one: O True O…

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Q: Find the general form of f if f'(x)= 9f(x). f(x) =

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Q: A ladder 20 ft. long leans against a vertical wall. If the top slides downward at the rate of 2…

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Q: A bacteria culture is known to grow at a rate proportional to the amount present. After 60 minutes,…

A: We will find the number of strands of the bacteria originally in the culture as following. After 60…

Q: Differentiate. f(x) = - 2 e -X t'(x) = ]

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Q: Jdx/(1-2x) = 1/2 In1-2x + C %3D Select one: O True O False S(8x + 2x) dx = 2x4 +x² %3D Select one:…

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Q: Use the graph below to find exact values of the indicated derivatives, or state that they do not…

A: Topic:- function and application of derivatives

Q: (e2y – y) cos a = e" sin 2r, y(0) = 0

A: Solution is given below:

Q: The integral of the given function ſ**-16) x3 3/2 dx is

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Q: 3. Find the orthogonal trajectory for the family of straight lines passing through (3,-5).

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Q: (a) How far is the boat from the marina? Round the answer to one decimal place if necessary. (b)…

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Q: A rectangular lot having an area of 5000 sq meters is to be fenced on three sides Find the minimum…

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Q: estion Evaluate:S sin (3x) cos³(3x) dx r answer estion Ising Trigonometric Substitution, evaluate: -…

A: Solution:

Q: 4. Find the solution to the equation below to the nearest degree. 3 sin? (x) – 2 = 0 55 -1 1 -55

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Q: x2 - x- 6 Evaluate the lim *2 7x- x²-12 3/7 O does not exist O None of these O 2/5 O 417

A: topic - limits option none of these will be applied as 2/7 is not in the options

Q: A box is to be constructed from a piece of square cardboard whose perimeter is 36 inches by cutting…

A: maximum volume

Q: Find the radius of convergence about x = -2 and interval of convergence of the series Sn°(ar + 2)"…

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Q: Find the intervals of concavity and point(s) of inflection of the function on the given interval. f…

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Q: In(&x³) f(x) = 1-9e-* -2x 1-9e 2

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Q: Find dy. y = vx + 10 dy = (Simplify your answer.)

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