lim ( x-0 /2x²+1 х

Q: The demand, D, for a new rollerball pen is given by D = 0.007p³ -0.4p² + 130p, where p is the price…

A: The demand D, for a new rollerball pen is given by D=0.007p³-0.4p²+130p,where p is the price in…

Q: Use Green's Theorem to evaluate the line integral of F = (x5,2x) around the boundary of the…

A:

Q: Use Stokes' theorem to evaluate te (▼ × F) - dS where F(x, y, z) = −5yzi + 5xzj + 7(x² + y²)zk and S…

A: Given :-and S is the part of the paraboloid  that lies inside the cylinder  oriented upward.Evaluate…

Q: Find fif f'(x) 12x3 + 6x + 7 and f(1) = 2. Answer: f(x)=

A:

Q: Graph three different non-zero vectors that sum (add up) to the zero vector.

A: We need to find 3 non zero vectors that sum to a zero vector.

Q: The total sales of S (in thousands of DVD's) of a certain movie are given by the following formula…

A:

Q: Let P(x, y) be "x has taken class y," and Q(x, y) be "x has passed class y" and M(y) be "y is a math…

A:

Q: A new product has just come onto the market and is a big hit. The success, however, does not last…

A:

Q: Two towns A and B are 5 km and 7 km, respectively, from a railroad line. The points C and D nearest…

A: Answer Explanation:

Q: x(t) = 6-7t Find a plane containing the point (-6,-5,-3) and the line y(t) = -6-7t z(t) = 5 - 8t

A: Given that the plane containing the point (−6,−5,−3) and the line {x(t)=6−7ty(t)=−6−7tz(t)=5−8t

Q: A. Find S'(t) B. Find S(20) C. Find S'(20)

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: The points A[−1, 1, 1], B[2, 0,3], and C[3, 3, -4]. Show that this triangle is a right-angle…

A: Please see the explanation Explanation:Step 1:

Q: if f(x)= 5 sin to the negative one power ( x to the thrid power) then what is f prime of x

A: The objective of the question is to find the derivative of the function f(x) = 5sin^(-1)(x^3). This…

Q: 11-X2 0 dx x = Sin O the trig aluate using the bstitution x=Sino

A:

Q: For the linear function y=f(x)=2x-2 a. Find df/dx at x =-9 b. find a formula for x = f to the…

A: The objective of the question is to find the derivative of the function at a specific point, find…

Q: The function h is given by h(x) = 23. Which of the following statements is true? - (A h is…

A: given function

Q: Assignment 10: Problem 7

A: 12Explanation:To find the minimum value of the function f(x, y) = x² + y² subject to the constraint…

Q: Unit 2 DQ: Evaluating Functions Versus Evaluating Limits of Functions x-1, x0 Can also be displayed…

A:

Q: Determine whether the statement is true or false. True False If lim_a = an 0, then Σ a, is…

A:

Q: A mass weighing 2 pounds stretches a spring 6 inches. At time t=0, the mass is released from rest 8…

A: Final answer(a). d2y/dt2=−ky(refer to equation 4 in step 3).(b). Initial conditions at t = 0 y(t) =…

Q: Find f'(x). f(x) = 4 In (1+4x²)

A: The objective of this question is to find the derivative of the function f(x) = 4 ln(1 + 4x^2). The…

Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = e⁹x + e-x (a) Find the…

A: Given: To Find: (a) To find the intervals on which f is increasing and decreasing.(b) To find the…

Q: 3. A landfill at time t = 0 years contains 1200 tons of solid waste. The increasing function W…

A: At landfill at time  years contained 1200 tons of solid waste. The increasing functionW models the…

Q: Suppose you want to have $700,000 for retirement in 20 years. Your account earns 4% interest. a) How…

A:

Q: 2. Compute the sum of the shaded areas. The shaded areas are half circles. Assume that the pattern…

A: Given that each successive circle has a radius that is half of the prior circle.The given figure

Q: Find a Cartesian equation for the curve and graph the equation. r = 6 cos 0

A:

Q: The acceleration of an object (in m/s²) is given by the function a(t) = 8 sin(t). The initial…

A: Proper solution with step by step is provided below:Explanation:Step 1: Step 2:

Q: f(x) and (f'(x))² into the surface area equation above to find b Surface Area = Lº 2π. = a 5 5 2π…

A: To explain how was the 2 used from 2pie. How is it determined the 2 is needed, when in other cases…

Q: Suppose that ƒ is a function given as f(x) = √−3x+5. Simplify the expression f(x + h). f(x + h) =…

A:

Q: if f(x) = 2+2x - 4x sqaured find f prime of 5

A: The objective of this question is to find the derivative of the function f(x) = 2 + 2x - 4x^2 at the…

Q: If f(x): f'(x)= f'(1) = = tan x-5 sec x

A:

Q: Compute the value of the following improper integral.

A: Therefore, the required answer is ∫1∞​9x2e−x3dx=e3​=1.103638323514326964Explanation:Step 1:  Step 2:…

Q: Find f'(x) and find the value(s) of x where the tangent line is horizontal. X f(x): (3x-7)³

A:

Q: Homework

A: To minimize total production costs, we need to find the values of L and K that will maximize…

Q: Find the critical point of the function f(x,y)=3ex−5xey

A: To find the critical point of the function By using the second derivative test to determine the…

Q: +x 2 1 dx X

A:

Q: if f(x)= 5 sin to the negative one power ( x to the thrid power) then what is f prime of x

A: The objective of the question is to find the derivative of the function f(x) = 5sin^(-1)(x^3). This…

Q: Find the area of the region lying between the loops of =2+4sine. Select one: ○ a. 4(√3+2π) O b.…

A: The area is:A=4(33​+π) The answer is d.Explanation:The given polar function is:r=2+4sinθFirst, let…

Q: 5 K 7 10

A:

Q: (d) Horizontal asymptotes. (e) Intervals where f is increasing and decreasing. (f) Local minima and…

A: Given: To Find: To determine the following: (d) Horizontal asymptotes(e) Intervals where f is…

Q: #2 Given the integral S√ S√ 4 cos(x²) dx dy 0 [FIN √4 y (a) Do not attempt to evaluate it yet.…

A: The value of integral is 2 and the detailed explanation is mentioned in attachmentExplanation:Step…

Q: Water is leaking out of an inverted conical tank at a rate of 12500 cubic centimeters per min at the…

A:

Q: 4) Let the curve C be given by the graph of the function y = f(x) with f(x) = coshx, a) Draw a…

A:

Q: Find a rational function f that satisfies all the given properties vertical asymptote at x = 4 and…

A: The objective of this question is to find a rational function that has a vertical asymptote at x = 4…

Q: Complete the given table. (Enter the logarithm function in the form log, (b).) Exponential Form 45 =…

A: The objective of the question is to convert the given exponential forms into logarithmic forms. The…

Q: Find the area of one petal of r = 9cos30

A: r=9cos⁡3θFor the area of one petalr=0cos⁡(3θ)=03θ=−π2,π2θ=−π6,π6−π6≤θ≤π6

Q: Find the distance from the point (0,1,-1) to the line a(t) = (-2, 2, 4)t + (-6, - 1,5)

A:

Q: 12(a) sketch the Cardioid Ө r=1+ cos 0 b) Find the area of the region inside the cardioid r=1+ cos…

A: Given cardioid equation is

Q: The mean jumping height of a sample of 79 university athletes is 89.6 cm with standard deviation of…

A: The objective of this question is to calculate the t-value, which is a measure of the difference…

Q: Find the area of the common interior of the polar equations = 2(1 + sine) and 7 = 2(1 - sine) by…

A: