Find the inflection point for the function shown below. If there are more than one, be sure to spearate them by using a comma. If there is not an inflection point, record DNE in the answer box. If necessary, round all numbers to two decimal places. = -2x³ 3x² +252x - 5 f(x) =

Q: a) Find all of the critical points of x2 - x - 1 b) Find all of the critical points of x3 - 3x - 2

A: We have to find the critical points.

Q: Use the shell method to set up and evaluate the integral that gives the volume of the solid…

A:

Q: Use the function below to answer the questions. f(x) = 5x¹/5 - x (a) Find f'(x) = 1 X = 4 x 1 (b)…

A: Given: The function is f(x)=5x15-x   (a). Find the derivative of the given function.…

Q: 6y' - 2y = xy¹, y (0) = -1

A:

Q: Find the interval(s) where the function is increasing and the interval(s) where it is decreasing.…

A:

Q: c) lim x³+1 X-2x+1

A:

Q: Find the arc length of the graph of the function over the indicated interval. (Round your answer to…

A: Given function: f(x) = 45x54 To find: Arc length of the given function f(x) over the interval [0,16]

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

A: Given:  fx=2-62x To Find:  To determine the domain of the derivative of fx and  then to evaluate it…

Q: Let à = (-3, -5, -2) and 6 = (2, 5, 3). Find à x b. V Calculator Check Answer 7

A: Please see the below picture for detailed solution.

Q: Maricopa's Success scholarship fund receives a gift of $ 85000. The money is invested in stocks,…

A:

Q: 1. Make a sketch for each parabola a. y² = 4x b. x² =−16y

A: To draw parabolas

Q: An astronaut on the moon throws a baseball upward. The astronaut is 6 ft, 6 in. tall, and the…

A: We have given that height of the ball after t seconds is s=-2.7t2+30t+6.5

Q: 2. Find dy/dx and d'y/dx² at the given point without eliminating the parameter : x = 6s², y=-25³ 3…

A:

Q: lim 5x³ +16x²-10 12x3+x+28

A:

Q: 4. Evaluate the limit, if it exists: lim x+1 a. 1 b. -1 x²-3x+2 x-1 c. d. 0 does not exist

A:

Q: = 1/₂ F² A region R is shown. Decide whether to use polar coordinates or rectangular coordinates and…

A: We have to find the integral.

Q: Find the limit. sin(8) lim 0 0 90 + tan(0)

A: It's in a 0/0 form, so we can apply L'hopital rule.

Q: Find the interval(s) where the function is increasing and the interval(s) where it is decreasing.…

A: Given function f( x ) = 36-x2

Q: Find all the complex roots. Write the answer in exponential form. The complex cube roots of 16+16i

A: Given:  z = 16 + 16i

Q: Find the derivate of the functions: 2) F(x) = 5x²₂² f'(x) = f(x) = x²(x³²-₂) f'(x) =

A: Since, the student has mentioned to solve multiple questions with multiple sub-parts. But according…

Q: Differentiate. f'(0) = f(0) = cos(0) sin(0)

A: Please see the below picture for detailed solution.

Q: he area of the region shared by the cardioids r= 12(1 + cos 0) and r= 12(1- cos 0).

A: We have to find the area of the given cardioids.

Q: Solve the differential equation. 2xy + 4x + (x² − 4) d (x² - 4) dy = 0 dx Mangle METALT TANG

A:

Q: Find an equation of the tangent line to the curve at the given point. y = sin(sin(x)), (4π, 0)

A:

Q: Find the first and second derivatives of the function. Check to see that your answers are reasonable…

A:

Q: a) f(x) = x2 sin x is restricted to the domain 10 ≥ x ≥ 0  and it has four critical points.  They…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: . Evaluate the limit for the graph: lim f(x). |y4 4 a. 3 b. 2 2 -4-20 2 -2 -++-% x c. d. 5 does not…

A: We will find the required.

Q: 31. The surface area of an inflating weather balloon is described by A(x) = 4x² - 1 where x is the…

A:

Q: Find the tangent plane to the equation z = -4x² + 3y² - 5y at the point (3, 2, -34)

A:

Q: (b) x dx dt 1 sin³ (15)

A: Given  x = 1sin8( t5 )

Q: 1 3 I(t) = ²/³ - 5 ² + 3 2 +86 (0 ≤ t ≤ 10)

A: I(t)=13t3-52t2+86for critical numbers put I'(t)=0d dt(tn)=ntn-1d dt(constant)=0

Q: After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is…

A: The concentration of the antibiotic in the bloodstream is modeled by the function C(t) = 6(e−0.4t −…

Q: 1. Determine whether the sequence converges or diverges. If it converges, find the limit. tan ¹ n A.…

A: Given;  A. an=tan-1n/n B. bn=Cosn.

Q: Evaluate lim x→∞ _x3 _ 5x2 +52 – 2 x² + 4x +3 =

A:

Q: f(x) = (x2-x-1) e-x is restricted to the domain x ≥ 0  and it has two critical points.  One at x =…

A: The given function is: fx=x2-x-1e-x.It is also given that it has two critical points x=0 and x=3.

Q: 16. A limit exists if both the right-hand and left-hand limits are equal. 17. A jump discontinuity…

A:

Q: Find the limit lim x (tan x) cos(x)

A: L'Hospitals Rule:

Q: Question Graph the feasible region subject to the following constraints: 6x+8y > 208 x>8 y≥8

A:

Q: you have to round it off and it will become 2.21

A: The final answer  A = 2.21875 sq units

Q: An accessories company finds that the cost and revenue, in dollars, of producing x belts is given by…

A: Profit = Revenue - Cost

Q: Find and simplify the derivative of f(x) = ln(cosh (ax))

A:

Q: Suppose you compute a derivative of a continuous function g and simplify it as the following: g'(x)…

A: A critical point of a function is defined as the value of x where the function or the derivative of…

Q: If x² + y² - 3xy² = -1, find dy/dx in terms of x and y. Using your answer for dy/dx, fill in the…

A: Given equation:- x2+y3-3xy2=-1

Q: The average rate of change of f(x) = X a. 2 b. 0.5 over the interval 1 ≤ x ≤ 2 is c. -0.5 d. -1

A: we will find the required.

Q: Solve differenthal equation Y" + 1964 = 0

A:

Q: 6. Evaluate the limit: lim x+-5+ a. 25 b. 2.5 5x X+ 5* C. c. -25 -co d.

A:

Q: QUESTION 24 Write the expression in expanded form. x2-9 (x+2)2 3 logg O 6 logg(x-3)-6 logg(x + 2) O…

A:

Q: 7. Solve for x: 16 X 70⁰ 10

A: As we know from the Sine Rule: sinAa=sinBb=sinCc Given:

Q: Find the Cartesian equations a. r = 3 b. rsin 0-10 c. rcos 0+3=0

A:

Q: If f(7) = 7 and f'(7) = 4, estimate f(6.7). f(6.7)~

A: f(7)=7f'(7)=4from leanear approximation f(x)=f(a)+f'(a)(x-a)