Use the 1st derivative test to find the intervals where the function is increasing or decreasing 3.) f(x)=3x²-x+4

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Q: Given that f'(x) = cos(x), ƒ'(π/2) = 5 and ƒ(π/2) = 9 find: f'(x) = f(x) = ←

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Q: Evaluate the following indefinite integral fx-9/4 dx = +C

A: We need to find out the integration.

Q: Suppose that a patient receives an injection 9 mg of a certain drug and that 60% of the drug is…

A: It is given that The initial amount of drug intake=9 mg60% of the drug metabolize each day

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A: we need to find the number of years to take the world population double.

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Q: Let f(x, y) = 3y2−2y3−3x2+6xy. Find all critical points of f and use the Second Derivatives Test to…

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Q: Given that f'(x) = cos(x), f'(π/2) = 11 and f(7/2) = 11 find: f'(x) = f(x) =

A: Please see the below picture for detailed solution.

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Q: Find the values of for which the series x+x³+ O-14x1 OLVI O-1>x>1 Otel **** converges.

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Q: verify that the two planes are parallel, and find the distance between the planes. (Round your…

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Q: Find the points of inflection of the graph of the function. (If an answer does not exist, enter…

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Q: Models yerHomework.aspx?homeworkId=634767019&questionId=3&flushed=false&cid=7 VRF atic Models Farmer…

A: Topic- Application of derivatives We are given, Length of fencing available=8000 meters

Q: 2. Evaluate the given differential equation and determine the general solution (xy² + y² + 1).dx +…

A: The given differential equation is; (xy2+y2+1)dx + (x2y+2xy+y)dy=0

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Q: A) The area under the curve y 8 2² from x = 1 to a = t is equal to B) The area under the curve from…

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Q: dy dx y = 3 log 6X Find dy dx || (Simplify your answe

A: See this solution in below

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,…

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Q: 2 The curve y = ax + bx+c passes through the point (1,8) and is tangent to the line y = 5x at the…

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Q: Find f'(x). 7 f(x) = 6x-5 In x²

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Q: What will the value of an account (to the nearest cent) be after 8 years if $100 is invested at 6.0%…

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Q: Use implicit differentiation to find ∂z/∂x and ∂z/∂y. yz = 4 ln(x + z)

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Q: First find f' and then find f. f"(x) = 8x³+ 10x² + 7x - 2, f'(1) = -6, f(1) = 8. f'(x) = f(x) =

A: We will find the required

Q: Use implicit differentiation to find the derivative of x^2+5√xy^3=-7 y'=_____

A: We need find out the derivative.

Q: If the profit function for a product is P(x) = 1500x + 20x²x³ - 12,000 dollars, selling how many…

A: Given Profit function for a product is  Px=1500x+20x2-x3-12000

Q: Evaluate the integral by interpreting it in terms of areas. (1-x) dx -5

A: Given Integral:- ∫-561-xdx

Q: For which value(s) of x does the graph of f(x) = 6x 1 + x2 have a horizontal tangent line? 0±1…

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Q: Find the derivative of the following function. a. F(x)= 9-1² ²0² F'(x)= b. y= dx -(3x+2 113 de t…

A: See the details solution in below

Q: Find the average value of f(x) = Provide your answer below: -x+3 x3 Submit an exact answer using…

A: Use the formula for average value

Q: 1. 2. 3. 4. 5. Differential Equation d5y dx5 y dx + (2xy + ln y )dy = 0 d³y +4x². + cos2x dx3 d³y…

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Q: Find the value of a that makes the following function differentiable for all values of x. g(x) = ax…

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Q: Analysis of daily output of a factory during a 8-hour shift shows that the hourly number of units y…

A: To find the maxima, we will find critical points by calculating f'(x)=0.

Q: Problem #7: A large tank contains 50 litres of water in which 18 grams of salt is dissolved. Brine…

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Q: Consider the integral (a) Find the Riemann sum for this integral using right endpoints and n = 3.…

A: Here we have to use riemann sum.

Q: V=r of a spherical balloon changes with the radius. ate (in/in) does the volume change with respect…

A: Topic:- application of derivatives

Q: Evaluate the integral. 2 [ 3² F(x) f(x) dx where f(x) X if -3 ≤ x ≤ 0 = {/²3 - x² 16x² if 0<x≤ 2

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Q: omework.aspx?homeworkId=634767019&questionId=3&flushed=false&cid=7133570 : Models Question 4, 3.4.7…

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Q: Find the exact value of sin sin 3 (3/2) 3

A: Given query is to write the exact value of sin(π/3).

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Q: 3 Let f(x)=√x

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Q: Using the Lagrange multiplier method, identify the point on the given plane that would be closest to…

A: Let's find closest point to (1,2,3).

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Q: Use the Chain Rule to find an equation of the tangent line to the curve of f(x)=tan(pix^2 /8) at the…

A: I am attaching image so that you understand each and every step.

Q: Evaluate the integral. 9 [² √x dx

A: Topic- Definite integration we are given ∫49xdxwe know that∫xndx=xn+1n+1+C

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Q: Mrs. Smith switches back and forth between her normal self, Alice, and her intimidate alternate…

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