Consider the following. f x 4x − 1 4 x2
WebOct 19, 2024 · Consider a typical cylindrical shell of thickness ∆x obtained by revolving about the line x = 4 the thin strip of the region R that lies between x and x + ∆x. For such a shell, find an expression for its approximate radius R(x), its approximate height H(x), and its approximate volume V (x). WebDetermine dimension x to 3 decimal places. Find the local extrema of f (x)= (x-1)^2 / x^2+1 Using first/second derivative test. Find two positive numbers so that the sum of the first and twice the second is 100 and the product is a maximum. (Use Second Derivative Test for maxima/minima to verify.)
Consider the following. f x 4x − 1 4 x2
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WebFinite Math. Find f (g (x)) f (x)=4x-1 , g (x)=x^2+1. f (x) = 4x − 1 f ( x) = 4 x - 1 , g(x) = x2 + 1 g ( x) = x 2 + 1. Set up the composite result function. f (g(x)) f ( g ( x)) Evaluate f (x2 +1) f ( x 2 + 1) by substituting in the value of g g into f f. f (x2 +1) = 4(x2 + 1)−1 f ( x 2 + 1) = 4 ( x 2 + 1) - 1. Simplify each term. WebUnderstand the how and why See how to tackle your equations and why to use a particular method to solve it — making it easier for you to learn.; Learn from detailed step-by-step explanations Get walked through each step of the solution to know exactly what path gets you to the right answer.; Dig deeper into specific steps Our solver does what a calculator …
WebQuestion: Consider the function f (x) = x^2 / (x^2 − 4) . (a) Find the domain of f. (Enter your answer using interval notation.) (b) Find the intervals on which f is increasing. (Enter your answer as a comma-separated list of intervals.) Find the intervals on which f is decreasing. (Enter your answer as a comma-separated list of intervals.) WebFinal answer. Consider the following. y = −x2 +3x+ 1 (a) Identify the degree of the function. (b) Identify the leading coefficient. State whether it is positive or negative. positive negative Describe the increasing, decreasing, and constant behavior of the function. (Enter your answers using interval notation.
WebExplanation: Instantaneus rate of change is the derivative calculated in a given point. For the function: f (x) = 3x2 +4x ... What does 'express in terms of x ' mean? When it means … WebMath. Calculus. Calculus questions and answers. 1. a.) Consider the following. f (x) = 5 − 6x − x2 Describe the interval (s) on which the function is continuous. (Enter your answer using interval notation.) = Identify any discontinuities. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) x = If the ...
WebFinite Math. Find f (g (x)) f (x)=4x-1 , g (x)=x^2+1. f (x) = 4x − 1 f ( x) = 4 x - 1 , g(x) = x2 + 1 g ( x) = x 2 + 1. Set up the composite result function. f (g(x)) f ( g ( x)) Evaluate f (x2 …
WebQ: Find the derivative of each of the following functions, 99 . f(x)= (1+x+x²) ⁹⁹ f(x)= 99(1+x+x²) 98… A: To find out the derivative of the function, Note that as per the rules we are supposed to answer… ca hiv programWebConsider the following. (a) Use a graphing utility to graph the region bounded by the graphs of the equations. (b) Find the area of the region analytically. (c) Use the integration capabilities of the graphing utility to verify your results. (Round your answer to three decimal places.) Expert Answer 100% (16 ratings) Previous question Next question cah kortrijkWebCalculus questions and answers. Consider the function below. f (x) = −2x2 + 4x + 5 (a) Find the critical numbers of f. (Enter your answers as a comma-separated list.) x = (b) Find the open intervals on which the function is increasing or decreasing. (Enter your answer using interval notation. If an answer does not exist, enter DNE.) cahp james o\u0027rourkeWebWhat is the following notation asking you to find? lim f (x) x → 2. The limit of f (x) as x approaches 2. What is limit behavior? The behavior of the value getting close to f (x), but not at it. Which direction is the limit approaching from if x → 3⁻? Left. Which direction is the limit approaching from if x → 3⁺? ca hrdličkaWebExplanation: Instantaneus rate of change is the derivative calculated in a given point. For the function: f (x) = 3x2 +4x ... What does 'express in terms of x ' mean? When it means express in terms of x It means to express the quantity you're finding in terms of x, the variable. Therefore, Since: f (x) = 2x2 +4x So, f (−2x) = 2(−2x)2 +4(− ... cahos tijuanaWebConsider the following. f (x, y) = x 2 − 2xy + 3y 2 + 4x − 28y + 78 Find the exact point ( x, y ) where f ( x, y) has a possible relative maximum or minimum. Then use the second-derivative test to determine, if possible, the nature of f ( x, y) at this point. If the second-derivative test is inconclusive, so state. (x,y)= ? cahni konigWeb(a) Find . f '(x). f '(x) = −4x−x2 (b) Graph both . f(x) and . f '(x) using a graphing calculator. The x y-coordinate plane is given.There are 2 curves on the graph. The first curve enters the window in the second quadrant, goes down and right becoming less steep, crosses the x-axis at approximately x = −5.5, changes direction at the approximate point (−4, −5.7), … cahrso doj.ca.gov