Find the absolute maximum and absolute minimum values of f on the given interval. f(x): x²-4 = x² +4 [-4, 4]

Q: horizontal asymtotes of  1 (x−3)2

A: The objective of this question is to find the horizontal asymptotes of the function 1/(x-3)^2. A…

Q: 5) If f(x)=6x sin" '(x), find' (x) f'(x)= Find f'(0.7) f'(0.7)= 6) Evaluate the integral S 0.8 dx…

A:

Q: Find the length of the curve over the given interval. r = 16cos0, - 77 ≤0≤77 Π 2 505 Select one: a.…

A: ​ length of the curve =16π​Option (b) is correct.Explanation:Step…

Q: Rewrite the following iterated integral in the order dy dx dz: f(x, y, z) dz dy dx.

A:

Q: b) y = (3x-1)e-x²

A: The equation you've provided is a mathematical expression in terms of a variable x, given by:…

Q: Given h(x) = x³ + px²+9x+15, find a value for p so h(x) has an inflection point at x = -4.

A:

Q: Question 6: Find the equations of the tangent and the normal line to the curve g(x) = the point…

A: As we knowThe equation of tangent line at the point with slope  is The equation of the normal line…

Q: Find T and N for the space curve, where t> 0. r(t)=(7 cost+7t sin t)i + (7 sin t-7t cos t) + 3k T= i…

A:

Q: Find a vector v with initial point (-3, -4,0) and terminal point (-6, -5, 3). Then find a unit…

A:

Q: Find all rational roots of f(x) = 3x3 − x2 + 15x− 5.

A: The objective of this question is to find all the rational roots of the given polynomial function…

Q: ' Write out the first five terms of the sequence with, [(+)"] determine whether the sequence…

A:

Q: Evaluate the integral.

A: 1. 34​π​2. 72π2​​Explanation:1. Given:∫3​1​3​​1+x28​dxFirst we need to take out the constant, we…

Q: Find the average rate of change of y with respect to x from P to Q. y= x²+ 7; P(5, 32), Q( 5.1,…

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: #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: A rectangular swimming pool is designed to be 7 times longer than it is wide. The total surface area…

A: Solution of the above mentioned problem is provided below for further queries u may ask in comments…

Q: A company manufactures a units of one item and y units of another. The total cost in dollars, C, of…

A: We solve the given problem using the second derivative test.The Second derivative test :Let f(x) be…

Q: Joxe 4x dx = +C

A:

Q: (Calculator allowed) Find the area of the surface formed by revolving about the 0 = given interval.…

A: area = 2π(√122)/485 (e11π -22) (option A)Explanation:First calulate area for r= eaθ   Now Put a = 11…

Q: Part 1 of 3 35 3 << 37 2

A: Given that the expression

Q: 6 6 + 2+1 2+2 + 6 2 + 3 +.. + 6 2+1

A: The given sum

Q: Consider the function f(x) = 2√√x+4 on the interval [2,6]. (A) Find the average or mean slope of the…

A:

Q: Use the equation  Max =  1 2(x + y + |x − y|)  to answer the following questions. Recall that  |a|…

A: Here we have given an equation: .What is absolute value of a number?The absolute value of a number,…

Q: Find the exact length of the curve. y = ² ²x³/2, 3 0≤x≤6

A:

Q: The resale value R (in dollars) of a particular type of laser cutting tool t years after its initial…

A:

Q: Need to Evaluate WITHOUT using a calculator! For: (Refer picture for the questions) (An…

A: 1) e-√2 2) -1 / ctn(46°)Explanation:1)  To evaluate the expression e(sin(-45)-sin(45)), let's first…

Q: Use a linear approximation (or differentials) to estimate the given number. e-0.01 Need Help? Master…

A: Given that  consider the function Linear approximation of f(x) about the point x=a is given by now,…

Q: Find the exact length of the curve. x=e'−t, y=4e¹/2, 0≤t≤2

A:

Q: Evaluate 4x cos(y²) dy dr. 0

A: The value of integral is sin(16).Explanation:Approach to solving the question:Given question is a…

Q: Page

A: The mean value of the probability density function 0  ≤ x ≤ 60 is simply the centroid's…

Q: Exercise: Solve the equation d²y dx² + y = tan x

A: The given differential equation is

Q: 1. f(x) = (4x2)5

A: As per our guidelines we can answer only 3 sub parts of the given question so kindly repost the…

Q: Evaluate the indefinite integral. sec²(√x)dx

A:

Q: Let f(x, y, z) = x4y²+ z² and x = = st³, y = s²t³, and z = st. (a) Calculate the primary derivatives…

A:

Q: Find the following limits xy (a) lim (x,y)→(3,2) x + y

A:

Q: Suppose that ƒ is a function given as f(x) = −x² + 5x − 3. Simplify the expression f(x + h). f(x+h)…

A: given function

Q: Determine whether each of the following integrals is proper, improper and convergent, or improper…

A: Note:-Since you asked multilple subparts questions, according to our policy we can solve only first…

Q: If F(x) = f(xf(xf(x))), where f(1) = 3, f(3) = 4, f'(1) = 4, f'(3) = 5, and f'(4) = 6. Find F'(1).…

A:

Q: Use implicit differentiation to determine dy/dx given the equation x squared+y to the fourth power…

A: The objective of this question is to find the derivative of y with respect to x, denoted as dy/dx,…

Q: Find SS, 20 JA, R = [0,2] x [3,3] x²+1 Round H answer 10 H

A: The answer is as follows: ∫∫R​x2+1xy2​dA=9ln5.Explanation:Steps and explanations are as follows…

Q: Complete the parametric equations of the line through the point (-6,1,-3) and perpendicular to the…

A: Point: (-6,1,-3)Plane: 6x-2y+2z=5

Q: lim (x,y)→(1,1) 2x² - xy - y² x² - y²

A:

Q: = Suppose that a continuous income stream has an annual rate of flow f(t) 700e-0.052 (in thousands…

A: Given:a continuous income stream has an annual rate of flow  in thousands of dollars per year.To…

Q: the the point (-1,2,256) of the normal line to the Surface 2 = 2xy + a -t + 256.

A: X=-1024t -1 Y= 896t+2Z= -t+256Explanation:Step 1:-- Step 2: Step 3: Step 4:

Q: Problem #1: By Taylor's theorem, we can find a Taylor polynomial P3(1) of degree 3 for the function…

A: Given: To Find: To calculate the coefficient .

Q: 5 A polar curve is given by r = (3-cos(e)) What angle corresponds to the point on the curve with an…

A: Hence the final answer is : θ≈2.42,3.86 Explanation:To find the angle θ corresponding to the point…

Q: 2 4-y²² #13 Given S² S√4-y 0 0 (y) ddy (a) Write down inequalities. in xy representing the region R…

A: 4πExplanation:Step 1: Step 2: Step 3: Step 4:

Q: [ In(x² + 1) dx

A: integrate

Q: Let ā = (5, 1, −1) and ỗ = (2, 1, 4). Find a. b.

A:

Q: 3) An adult human at rest inhales and exhales approximately 520 ml of air (called the tidal volume)…

A: Question No. (d):Given: An adult human at rest inhales and exhales approximately 520 ml of air…