-32-9 9-4 2. Consider the following function f: r2 r< 1 f (x) = Find lim,1-f (x) (a) (b) Find lim,1+ f (x) . Find lim (c) 1f (1). (d) 1? Briefly explain. Is f continuous at r
Q: for this problem in the answer it says, cos^-1 (1/2)= pi/3,-pi/3. Why is that? Why did they go count...
A: According to question
Q: Find the derivative F(x)=x^3(x4/3 -1)
A: Please see the white board.Recall the famous rule of differentiation: d(xn) / dx = nxn-1
Q: The operating cost to an airline for having a flight between its west-coast and east-coast hubs chan...
A:
Q: When blood flows along a blood vessel, the flux F (the volume of blood per unit time that flows past...
A: Differentiate F with respect to R to get
Q: The half-life of iodine-123 is about 13 hours. You begin with 52 grams of iodine-123. (a) Write an...
A: Consider the amount of iodine(I) as a function of time(t).
Q: Differentiate the function g(x) = ln(xe-2x).
A: Given function is,
Q: Q1. Differentiate g(x) = (x +-)-2 OC
A: Given:
Q: Calculus Question
A: Given:
Q: If 16% of a radioactive substance decays in 13 hours, what is the half-life of the substance? Round ...
A: In case of a radioactive decay, the amount x after time t is given by x(t)=x(0)e−kt where x(0) is t...
Q: see attachment
A: Here the given logarithmic equation is,
Q: ∫x3e-4x^4dx
A: We assume z= -4x^4 From there we find x^3*dx.
Q: find the derivative 1).f(x)=X^3(X^4/3-1) ...
A: 1)
Q: f(x)=(4x^2)/[(x^2)−4]. Calculate the first derivative of f. Find the critical numbers of f, where i...
A: The given function is,
Q: I need to find the answer using integration with polar coordinates.
A: Given:
Q: Can you help me on #27
A: The series1/k2 converges. We compare given series to this series and use comparison test.
Q: An underground gasoline storage tank is leaking. The tank currently contains 600 gallons of gasoline...
A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...
Q: Find the area of the region that is bounded by the given curve and lies in the specified sector. 4. ...
A: We have to use area formula of polar coordinates with a= pi/2 and b=2pi
Q: 4. Let f(x talk about its inverse.) Without finding a formula for f1(x), find (f1)'(4) Vx26 (We rest...
A: To determine (f-1)’ (4) without using formula of inverse.
Q: An investment grows at 24% compounded monthly. How many years will it take to do the following? (Rou...
A: Consider the given information:
Q: The top and bottom margins of a poster are 8 cm and the side margins are each 2 cm. If the area of p...
A: Given,The printed area of the poster = 388 cm2.Let ‘x’ be the width of the printed poster.Let ‘y’ be...
Q: Can you help me step by step?
A: f(x)= x^(2/7) is continuous in the interval [-5,8].Image of the graph attached. It shows f(x) is con...
Q: Evaluate the indefinite integral -3 tan (x) sec'(x) dx +C
A: Given,
Q: Can you help with this problem step by step?
A: Given,
Q: see attachment
A: Answer: cos B= 5/13
Q: A piece of wire of length 63 is cut, and the resulting tow pieces are formed to make a circle and a ...
A: The total length of the wire is 63.Let x be the length of the wire cut for the circle.Then, 63-x is ...
Q: Find the equation of the tangent line to the curve at the given point.
A: To find the tangent at the given point on the curve, using derivatives
Q: Question 1 Parts 4, 5, and 6
A: Actual value of g(4.01)= 2.002498439Linear approximation= 2.00252.002498439 < 2.0025Actual value ...
Q: Calculus Question
A: To check the concavity of a given function f(x) first we need to find the f ''(x).If the value of f ...
Q: dx Evaluate 256 289x2 dx 256-289x (Use C as an arbitrary constant.)
A: Substitute for x as follows.
Q: see atta chment
A: Equation can be rewritten as
Q: Graphs A and B are approximate graphs of f and f' for f(x) x28x - 10 So f is decreasing (and f is ne...
A: Let us find the interval in which f is decreasing:
Q: Calculus Question
A: Given,
Q: Can you do question 21 and show the steps
A: the equation of line.
Q: The number of children under 18 living in households headed by a grandparent can be modeled as p(t) ...
A: Consider the given information:
Q: The question says: "A pair of paraetric equations is given. a.) Sketch the curve represented by the ...
A: To sketch the graph, the points (x, y) are to be determined for different t values and then the poin...
Q: An island is 1 mi due north of its closest point along a straight shoreline. A visitor is staying at...
A: Model the given problem as follows.
Q: X Document1 - Word AutoSave evie tucker Off ET Design References Mailings Review View Search Share F...
A: The given equation is
Q: Find the area of the largest rectangle that can be inscribed in an equilateral triangle of side leng...
A: To determine the rectangle which give the maximum area under the given conditions
Q: see attachment
A: x-coordinate of the point is
Q: F(x)=4+54x-2x^3 , [0,4] what are the absolute minimum value and absolute maximum values?
A: Given function
Q: Can you please answer question 59 and show the steps
A: The given function is
Q: The question prompts for the integral from 0 to 1 of 1/x^p, what values of p would the integral conv...
A: Given,
Q: see attachment
A: Simplify the argument to find the exact value
Q: Find the derivative.
A: Given function is
Q: Answer the following questions about the function whose derivative is f′(x)=(x+2)e^-x.Assume the do...
A: for increasing and decreasing the function.
Q: The initial size of a particular substance is 75. After 3 hours the substance count is 4500. 6. Find...
A: We are given that the initial size of a particular substance is 75 and after 3 hours the substance c...
Q: Use the method of partial fraction decomposition to perform the required integration X3 dx (x-7)2 X+...
A: to given
Q: Can you help me on #1
A: Distribute secx use 1/secx=cos xThen simplify.
Q: Express the given quantity as a single logarithm. 2)2 In(x 2)7In x - In(x2 +
A: Let the given expression is:
Q: Week 4 Fall 2019 Maxima minima of function Consider the following function of variable r, for r2 0 y...
A: The given function is shown below:
Step by step
Solved in 5 steps with 5 images
- If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local extremum offon (a,c) ?For the function f(x) (X^2-3 if -3 ≤x2 C) is f continuous at x=2? D) does lim f(x) exist at x->4^-? E) does lim exist f(x) exist at x->4^+?Consider g(x)=−7x3+7x2+9. a) limx→0−g(x)= b)limx→−1−g(x)= c)On what interval(s) is g(x) continuous?
- which of the following statements is true about the function 3x-2, if x<2 r(x)= -8 if x=-2 5x+4 if x>2 a. f(x) is not continuos because f(-2) is not defined b. f(x) s not continuos at x=-2 because lim f(x)≠ f(-2) x->-2 c. f(x) is not continuous at x=-2 only d. f(x) is not continuos at x=-2 because lim f(x) ≠ lim f(x) x->-2- x->-2+suppose f,g an d h are functions which g(x)<=f(x) <=h(x) ,for all x in an open interval containing a , except possibly at a. if lim g(x) ,x approaches to a does not exist or lim h(x) ,x approaches to a does not exist , will the lim f(x) ,x approaches to a do or does not exist ?1. Consider the function f(x)= {x+2, x>0 -x-6,x<0. Use the table of values to find the limit of the following: a. lim f(x) x→0+= x 0.0001 0.001 0.01 0.1 1 f(x) b. lim f(x) x→0-= x -1.0 -0.1 -0.01 -0.001 -0.0001 f(x) c. Does the limit f(x) x→0 exist? If yes, give its value. If not, why?