94. Can you have a finite absolute maximum for y = ax²+bx+c over (-∞, ∞o)? Explain why or why not using graphical arguments.

Q: The given curve is rotated about the x-axis. Set up, but do not evaluate, an integral for the area…

A: Recall:Area of the resulting surface rotated about the x-axis :If the curve y= f(x) ,…

Q: Answer the following questions for the function f(x)=x√x² + 36 defined on the interval -4 ≤ x ≤7.…

A:

Q: The graph of y = f(x) is given below. -5 150 num -4 lim f(x) AI-1 -3 -2 5 4 3 2 -1 -1/ 1 2 4…

A: A graph of the function  is given.The aim is to find the given limits.

Q: Differentiate the function. X f(x) = - 1 Xx +9

A:

Q: 5. Let f(x, y, z) = x²e + ay³ + az + 115. Find fyzz (b) Find 8³1 əxəydy'

A:

Q: Find the derivative  a. y= ln(cos^2x) b. y= e^cosx+e^-x

A:

Q: Find f'(t) if f(t)= -2t² - 8t+7. f'(t) =

A: We need to find out the derivative of the given function.

Q: 16. x1 + 3x2 +4x3 = 0 3x1 + 8x2 + 7x3 = 0

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: Let f(x) = 5 − 3x²2 and g(x) = x + 5. Compute the following. (a) (fog)(x) (b) (c) (e) (fog)(-1)…

A:

Q: 1 Let f(0)= sin(0) + cos(0). √√3 Calculate the derivative. [Note: to get the to show up type theta,…

A: Consider the function

Q: Use the graph to estimate the open intervals on which the function is increasing or decreasing.…

A:

Q: Consider the following. {-x³ +3, -x² + 4x, x≤0 x > 0 Find the critical numbers. (Hint: Check for…

A:

Q: Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the…

A:

Q: 10 P.M. an oil tanker traveling west in the ocean at 15 kilometers per hour passes the same spot as…

A:

Q: 2. Calculate the Jacobian of the coordinate change (x, y, z) to cylindrical coordinates (r, 0, z).

A: To calculate the Jacobian of the coordinate change  to cylindrical coordinates .

Q: 5 Determine the difference quotient for the function f(x) = 2x-1.

A:

Q: Labor. Refer to Table 4. (A) Find the average rate of change of weekly hours from 1980 to 1990.…

A:

Q: Two sets A and B are defined as follows: A = {x, y, z); B = {1, 2, 3}. Ug Oh f range of g range of h…

A:

Q: Find the general solution: y" + 5y' + 5y = 0

A:

Q: 5. 13: I can estimate the value of a definite integral using a table, Riemann sum, or technology. A…

A: I have appended the formula used in the solution procedure

Q: Find a general solution of the differential equation 2 dy dx You may leave the solution in implicit…

A:

Q: dy dx y = u54 and u = 3x² - 2x² dy du du' dx Find and

A:

Q: 17. x1 - 3x2 + 2x3 - 4x4 = = 0 2x1 - 5x2 + 7x3 − 3x4 = 0

A:

Q: find maximum rate of change of f(x,y)=x sin(y) @ the point (2,0)

A: To find the maximum rate of change of at the point .

Q: Find the area of the shaded region. y 3 2 1 (1, 1) 2 y = ³x y || 4 1 X 6 X = 8 CO 8 X

A: Given equations of the curve

Q: 5 4 --3- 2 -1

A:

Q: Find the value of an investment of $20,000 for 14 years at an annual interest rate of 3.85%…

A:

Q: Suppose f (x, y) =x² + y² - 8x and D is the closed triangular region with vertices (8,0), (0,8), and…

A:

Q: 1. Using the fundamental theorem of calculus part 1, along with properties of the definite integral…

A:

Q: An island is located 42 miles N26°10W of a city. A freighter in distress radios its position as…

A: The figure

Q: Evaluate the following limit. lim 8+←8 15 ln x X = Note: Input DNE, infinity, and -infinity for does…

A: Given,

Q: Please answer the following derivative question. If H (x)=(4f(x)+ g(x))2/3 and f(3)=2, g(3)= -4,…

A:

Q: Math 152 metric IHU 3. In this problem we'll evaluate the integral cos²(z) sin³ (2) dr. (a) First,…

A:

Q: An account earns an APR of 4.7% compounded as often as imaginable ("compounded continuously"). The…

A: The given rate is, r=4.7%=0.047 compounded continuously.For the continuous compound, the annual…

Q: If f(x) = f'(x) = ƒ'(1) = = 2 sin x 3 + cos x > 3 cos (1) () then 3 cos (x) + sin(x) (3 + cos x)² X…

A:

Q: List the first five terms of the sequence. an 1 + an a1 a2 аз a4 a5 || = = = a₁ = 6₁ an+1 =

A:

Q: Where is f' undefined? at x What are the critical values of f? at x Where does f have local…

A:

Q: 2. Use Calculus to find all local extrema of the function g(x)=x√3-x.

A:

Q: If y = cos² 3x, then =? dy dx dy dx O dy dx dy dx = 6 cos 3x = = -2 cos 3x -6 sin(3x) cos(3x)

A: Given,

Q: Consider the function INTERMEDIATE WORK Using calculus give a sketch of y. Make sure you include the…

A: The given function equation is

Q: differentiate y(theta) = e^cot theta

A: given function

Q: (a) Find parametric equations for the line segment that joins the point P(-1, -4,-3) to the point Q…

A: Question no. 1(a):To find the parametric equations for the line segment that joins the point..Note:…

Q: dy dx cos(x + y) = 3x Find dy dx dy dx dy dx dy dx = = -3 csc (x + y) - 1 = -3 cos(x + y) - 1 = −3…

A: we need to find out the derivative.

Q: differentiate. do not simplify f(y) = (3-y^3)^3/4

A: given function

Q: HOMOGENEOUS DIFFERENTIAL EQUATION Solve the following differential equations using HOMOGENEOUS DE.…

A:

Q: Find the volume of the region in the first octant bounded by the coordinate planes, the plane x+y=5,…

A: Equation of plane : and equation of cylinder : Find the volume of the region in the first octant…

Q: A golf ball manufacturer knows the cost associated with various hourly production levels, given…

A: Production cost for golf balls is given as,

Q: 2.21 A mathematical model describing the state of a learner y(t) at time t while learning a specific…

A:

Q: Consider two functions y₁ = f(x) and y₂ = g(x), and that y₁ ‡ y2 except where they intersect. If…

A: Given that two functions  and  and  except what they intersect.These functions intersect at…

Q: Find the linear g(x) z approximation of the function given below at a = 0. g(x) = √1+x

A: