Q: 2. Let h'(2) = 8, h' (2) = 5, h(2) = 3, h″(4) = −—1,h'(4) 4 ª[₂x x.h"(x) dx. 3, h(4) 6. Find = =
A:
Q: Consider the following function. f(x) = x² + 2x² - 8 (a) Write the polynomial as the product of…
A: We have to-write the polynomial as the product of factors that are irreducible over the…
Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by the…
A: We have given, x = 0 , y = 1 , x = y13 , about the line y = 1.
Q: C= (sinx 0bx</ ** ใช้ * * Cosx ser
A:
Q: Find g'(4) given that f(4) = 3 and f '(4) = −5. g(x) =√x *f(x))
A: f(4)=3, f'(4)=-5g(x)=sqrt(x). f(x)find g'(4).
Q: 6e (C) e (be ($)) e cos (5.195) + i.
A:
Q: Identify the open intervals on which the function is increasing or decreasing. f(x) = sin(x) + 4…
A: The given function is
Q: Example 9 6 L 2 45 Determine what interals are discontinuous & explain your reasoning. (2) give 3…
A: Note: “Since you have posted multiple questions, we will provide the solution only to the first…
Q: A tank, with the shape shown below, h is loosing water at a rate of 15 cm³ per second. The radius of…
A:
Q: The velocity function, in feet per second, is given for a particle moving along a straight line.…
A: The velocity function, in feet per second, is given for a particle movingalong a straight line.(a)…
Q: A manufacturer has been selling 1400 television sets a week at $390 each. A market survey indicates…
A: Let x be the number of TV sets sold per week and y be the price per TV set.From the given data,…
Q: Students in a zoology class took a final exam. They took equivalent forms of the exam at monthly…
A:
Q: lim f(x)=-5, lim g(x)=3, and lim h(x)=0, find the following limits if they exist. If 3. Given x→a x…
A: Check if the limit of the functions exist or not.
Q: You are going to make an investment with an 8% APR compounded continuously. In ten years, you want…
A: You are going to make an investment with an 8% APR compounded continuously. In ten years, you want…
Q: 17. 1 √ x² + x² + a² dx
A:
Q: A circular arc of length 17 feet subtends a central angle of 15 degrees. Find the radius of the…
A: A circular arc of length 17 feet subtends a central angle of 15 degrees. To find the radius of the…
Q: Use the given zeros to write the complete factored form of f(x). 5 f(x) = 2x² − 13x + 20; zeros: 2…
A:
Q: The demand for a new computer game can be modeled by p(x) = 47- 7 In x, for 0≤x≤ 800, where p(x) is…
A:
Q: Use the given zeros to write the complete factored form of f(x). 5 f(x) = 2x² - 13x+20; zeros: and 4…
A:
Q: - Find sec(y) tan7 (y) dy. S .
A:
Q: Find rule for sequence: 1/6, 3/8, 9/10, 27/12, 81/14
A: 1/6, 3/8, 9/10, 27/12, 81/14
Q: ← f(a+h)-f(a) h a. Use the definition mtan lim h→0 b. Determine an equation of the tangent line at…
A: f(x)=x3, P(1,1)
Q: ^ ^ Find T, N, and x for the plane curve r(t) = -6 In(sec t)i – 6tj. − <t< (t)=)i+j Type exact…
A:
Q: VLUCCH Find the trigonometric ratio Sec aby ref a 17 8 17 ㅇ 15 8 ㅇ # 15 B
A:
Q: sin70 cos6 0 de (d)sin
A:
Q: Use the table to the right to find the given derivative. d[ f(x) [X]Xx=5² x=5 X+9 = (Simplify your…
A:
Q: A new hybrid car sold in the United States reports a fuel usage of 39 mpg. Write the equivalent rate…
A: Given that a new hybrid car sold in the United States reports a fuel usage of 39 mpg.Write the…
Q: 120x-12,000 x-150 The function f(x) = , 30 ≤x≤ 100, models the tax revenue, f(x), in tens of…
A:
Q: Consider the function f(x) = 11x²- 19x + 6. Compute the difference quotient expression (you should…
A: Given, f(x)=
Q: JI) H(x) = -x² + 2x + 2 A) minimum; 3 Solve the problem. 2(-1) B) maximum; 1 C) minimum; 1 mum value…
A:
Q: lim x →∞ lim x →∞ In²x In5x √√x inf M M
A:
Q: QUESTION 6 Find the x-coordinates of the points of O15- 32 O 6+√29 7 O 6+ 7 29 6+ 29 7 6-√29 15 7 32…
A: consider the given function.
Q: Suppose Jake is running a 15 mile race. Jake runs at a constant speed of 2 miles every 8 minutes.…
A: Jake is running a 15 mile race.Jake runs at a constant speed of 2 miles every 8 minutsLOPE INTERCEPT…
Q: Linda invests $25,000 for one year. Part is invested at 5%, another part at 6%, and the rest at 8%.…
A: To solve the given problem, first we form 3 equations in x,y and z,then solve these equations by…
Q: Refer to the right triangle in the figure. Click on the picture to see it more clearly. If, BC = 3…
A:
Q: Let f(x) be a cubic polynomial with zeros - 3, 4, and 1. If the graph of f passes through the point…
A: A cubic polynomial with zeroes -3, 4 and 1
Q: Find the average value of f(x) = √x²-1 -1,15 X , 1 ≤ x ≤ 3.
A:
Q: Find the following higher order partial derivatives. (A) (B) 8² z дхду (C) 8² z əx² || 8²% მყ2 (Note…
A:
Q: 9. In each part, find the horizontal asymptotes, if any. 2x - 7 x³ - x² + 10 x² - 4x 3x² - 4x (a) y…
A:
Q: Use the Chain Rule to find az/as and az/at. z = x²y³, x = s cos t, y = s sin t
A: given,
Q: 9. Determine the exact point on the line x + 3y = 3 that is closest to (0, 0).
A:
Q: Use the method of variation of parameters to find a particular solution of the following…
A: given differential equation
Q: Consider the constant coefficient equation. Solve the initial value problem. Express the solution as…
A:
Q: Find the particular solution of the differential equation that satisfies the initial condition. dy…
A: To find the particular solution of the differential equation that satisfies the initial…
Q: 15. Find the exact distance between the skew lines ở = (−3,−2, 4) + t(1,−1,1) and p = (1,3,0) +…
A:
Q: The positive angle between 0° and 360° that is coterminal with the angle -1481° is The negative…
A: The positive angle between 0° and 360° that is coterminal with the angle -1481° is degrees.The…
Q: 11. Consider the plane and the line with these equations: 0 = 2x + y-z + 10 a) :: e must b) r = (−4,…
A:
Q: If 600 mg of a radioactive element decays to 500 mg in 36 hours, what is its half-life? hours
A: I am going to solve the problem by using some simple calculus to get the required result of the…
Q: Begin with the graph of y=e* and use transformations to graph the following function. Determine the…
A: The given function .The aim is to sketch the graph of the function.
Q: Find a second-degree polynomial P such that P(2) = 5, P'(2) = 7, and P"(2) = 6. P(x) = X
A: Find the second degree polynomial P such that
how to evaluate using limit laws
Step by step
Solved in 4 steps with 4 images
- Determine the value of the constant c if limx→0 4√1+cx −1 /x = 3.If limx→0(2f(x)−15)=45limx→0(2f(x)−15)=45, then what must limx→0f(x)limx→0f(x) equal???????? ? (a) (i) Lim 5x −3 − 4/ 2x −2 + 9 x→∞ (ii) Lim (x − 3) 2/x2/2 − 2x − 3 x→∞ During a nationwide program to immunize the population against a new strain of the flu, public health officials determined that the cost of inoculating x% of the susceptible population would be approximately C(x) = 1.85x/100 - x million dollars. (i) What would it cost to providing immunization to the first 20% of the susceptible population? (ii) What would it cost to providing immunization to the next 30% of the susceptible population? (iii) Suppose 17 million dollars are available for providing immunization. What percentage of the susceptible population will not receive immunization? (iv) If money was not a problem will they be able to providing immunization to the entire susceptible population? (c) Determine the values of x for which the function f(x) = {2x2 – 4 x < 2 {x + 2 2 < x > 5 {7 x ≥ 5 is…
- Is there a value of a for which limx1 3x^2+ax+a+3/x^2+x-2 exists? Enter the value of a if such a exist otherwise enter 0.1. For what value (s) of x is the function f(x) = 4/2x2 - 6x not continous? 2. If the demand of firm is QD (p) = 50 -3p and its supply function is Qs (p) = 14 + 6p. What is the equilibrium? 3. Find Lim x2 -4x + 3/5Show that 13x - 12 can be made as small as desired by taking x close to 4. lim(4x 2 + 2x + 5) = 5x➔0