Evaluate the following limits at infinity. 2³-42² 2x³+1 a) lim 100 b) lim 8118 3-41² 2z³+1

Q: 8. (1.1.74) If f and g are both even functions, is the product fg even? If f and g are both odd…

A: if f(-x)=f(x) then f is called even function.If f(-x)=-f(x) then f is called odd function.

Q: Find the area of the shaded region. AY 2+ L -3 + + 2 3 square units y=x-2 34 y=√x ✈X

A:

Q: Write a polynomial function, in factored form, with real coefficient whose zeros and multiplicities…

A:

Q: find the derivative by using the product and or quotient rule  g(w)=e^w(w^3-1)

A: Given that function  to find the derivative of the given function

Q: Find the area of the shaded region. f(x)=x+2 g(x)=x²-2 y -8-7-6-5-4-3-2 8765432 ACT -8 ¶|||| +++…

A:

Q: Give each derivative. Do not use the limit definition. (Practice these until you can answer them…

A: given different function to find the derivatives

Q: f(x) = = x² + 3x; a = -1, 4

A:

Q: Explain why Rolle's theorem does not apply to the function even though there exist a and b such that…

A:

Q: take the integral of 1/(1+tan^2(x))(sinx -1)

A:

Q: Convert the point (x, y, z) = (-1, 5, -3) to spherical coordinates. Give answers as positive values,…

A:

Q: 89. Explain why or why not Determine whether the following state- ments are true and give an…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Consider the following. [² x (x² - 1)³ dx 0

A:

Q: The area under the curve y = √x bounded below by the x-axis and on the right by x = 4 is 16/3 square…

A: Solution:Area=Let t=-x==Area==Area=Similarly,Area=Let t=xdt=dx==Area=

Q: All edges of a cube are expanding at a rate of 7 centimeters per second. (a) How fast is the surface…

A:

Q: Write the equation of the vertical line at which the graph is discontinuous. Then, write what y…

A: f(x)=(x+5)(x+12)(x+7)

Q: The Seventh Gate As you approach the seventh gate, you notice that it is only a short distance to…

A: Given:: f(x)=√(2-58x)Find domain of f'(x).Since,d(√x)/dx=1/2√xTherefore,f'(x)=1/2√(2-58x) .…

Q: 2) Given the function f defined by f(x) = 7√⁹x²-1

A: The given function is

Q: Find an equation of a plane containing the line r = (3, -4,-5)+t(-4,-4, 2) which is parallel to the…

A: We have to find the equation of the plane containing line r and parallel to the plane 2 x-y+ 2 z=-5.

Q: Factor 1296x4-14641 and solve the equation 1296x4-14641 = 0

A:

Q: Without a calculator, identify the given key features of the polynomial and sketch a possible graph.…

A: The given polynomial function is

Q: A -4 -3 -2 -1 1 2 -1 15 Determine the intervals where the derivative is positive and negative. Use…

A:

Q: 6. Is the function given by f(x) (x + 4, for x < 3 2x - 1, for x ≥ 3 Continuous at x = 3? Why or why…

A:

Q: 8) Determine the formula for the 4th degree polynomial f(x) shown below: -2 0 2 --6- 2

A: To determine the formula for the 4th degree polynomial  shown below.

Q: can you solve b ,c and d

A:

Q: 1. Let R be the region bounded by y = x² and y = 6x - 8. Find the volume of the solid S generated…

A:

Q: A lamina with constant density o(x, y) = 4 occupies the region under the curve y = sin(лx/5) from x…

A: As we knowThe given curve  from  to

Q: pair of initial conditions are given. First verify that y₁ and y₂ are solutions of the differential…

A:

Q: or #18 - #20 - Find & in terms of using the formal limit & efinition. lim x1 = 0 x→1

A: Note:-Since you asked multiple questions , according to our policy we can asolve only first question…

Q: a) b) c) d) The graph of y = 4sin (x) x) has many tangents with a slope of 4. Another way of…

A:

Q: What is the angle between vectors v= (√39, 1, 3) and w = (0, 3, 4)? T/3 2π/3 Ⓒarccos(3/7) 39 3…

A:

Q: Set up and solve a first order IVP to solve the mixture problem. A tank is filled with 100 gallons…

A: The tank is filled with 100 gallons of brine solution - The volume of tank is 100 gallonsThe initial…

Q: 1.) Given the function in the graph, answer the following questions. g(x) = x³ - 3x g(x) a.) What…

A: We have to find domain, range, monotone intervals, relative extrema and average rate of change for…

Q: How did we get 40 in the last solution? How did we get (k+2) and (2k+1)

A: Given that :- To Prove :- Using Mathematical induction showing the left and right are equal.

Q: Use the information to find and compare Ay and dy. (Round your answers to four decimal places.…

A:

Q: 2 derivative y=x²-a3

A:

Q: Sketch a graph of a function g that satisfies all of the following conditions: a. limh(x) = h(-2) =…

A:

Q: Given f(x, y) = 6x5 cos(y¹), find fxy (x, y) = fyy(x, y) =

A: given

Q: Determine whether the following function is continuous at a. Use the continuity checklist to justify…

A:

Q: 30,000 Р Suppose that the demand function for a product is given by D(p)=- a) Find the demand as a…

A:

Q: S K₁² Evaluate 1 (x − 1)² dx

A: Evaluate ∫1∞1(x−1)2dx

Q: Determine whether the relation is a function. Give the domain and the range of the relation.…

A: Given that the relation is a function to find the domain and range

Q: Kal K² = 1¹ + 2 + 3² + +ny n (n+1) (²n+1) ( 3n² + 3n-1) 30

A:

Q: Use the graph of the polynomial to the right to determine as many zeros as possible graphically.…

A:

Q: NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to…

A: Consider the set S

Q: Check Your Understanding: Why is it not always necessary to use the quotient rule to find the…

A:

Q: Analyze the function below. Which of the following is/are true? 8 f (x²) 184²8 x+1 as x → −1+, f (x)…

A: Given: To Find: To determine the true statements.

Q: 21. (1.4.4) Use the Law of Exponents to rewrite and simplify the expression. a) b) x²n * x³n-1 xn+2…

A: (a)The expression is .Calculation:

Q: The equations of the normal line to the surface z = the point (1, 2, 1024) is r(t) = (x, y, 4x7y³ at…

A:

Q: SOLVE: Y" - Sy=0 -

A: given differential equation

Q: If f(x) 8x²√x+ (Answer must be entered without negative exponents.) ƒ'(x) = - 6 = x² √x' then

A: