Curve Sketching y = x3 - 4x2 - 8x - 5 Show your work to determine: the y-intercept and any x-intercepts (you may need to apply technology to assist you with this) the critical point(s) of your function the intervals of increase/decrease the point(s) of inflection the intervals of concavity On a piece of graphing paper, sketch your function and clearly indicate each of the key features you calculated in the previous step In a well organized paragraph, use vocabulary from this unit to explain: how derivatives can be applied to determine the critical point(s) of a function how you used the first derivative test in order to classify the critical point(s) you found

Q: Determine the value of x when the slope is its maximum for the function f(x) = 2cos (3x)

A: Given,  f(x)=2 cos(3x)

Q: 2 5 6z³ -8z¹+2z² 4 Z dz

A:

Q: Ex: If w cos(uv), u = = xyz, y = π 4(x²+y²)' aw find at point (1, 1, 1). əx

A:

Q: Find the volume generated by revolving the area bounded by x² + 4x + 4y + 8 = 0 and y=-2 about the…

A: We have to find the volume.

Q: Find Vector A and B such that A is parallel to , B is perpendicular to and A + B =

A: We have to find vector A and B.

Q: Consider the vector-valued function 4t-8 [{m(3. In(3-t), 5,31²-8 8 R(t) 4-1² (0, -1,4), 1. Find the…

A:

Q: A product can be produced at a total cost of C'(x) = 500 + 100x2 + x³ dollars, where x is the number…

A: Given that; Cost function and revenue function.

Q: ector equation of the line that...... gh (3,9) and (-7,1) b) is perpendicular to the line 5x-3y-8= 0…

A: We will solve the problem

Q: Newton's Law of Cooling a) A cup of coffee has temperature 95° C and takes 30 minutes to cool to 61°…

A: SOLUTION-

Q: A payment of $2,690 was due two years ago, and a payment of $1,650 is due today. What single payment…

A: We have to solve for single payment.

Q: Solve the first order linear ordinary differential equation x sin x dy dx + (sin x + x cos x) y =…

A: Here, the given DE can be written as: xsin xdydx+(sin x+x cos x)y=xex⇒dydx+sin x+x cos xxsin…

Q: 1. For the following sequences: Find if the sequence is arithmetic, geometric, or neither. Find the…

A: A detailed solution is given below.

Q: 0 W³ 6w² +3 dw

A: Given, ∫01w36w4+3dw

Q: x-4 x²+2x-15 Inx+51-Inx-31+ C 8 Option 1 S: dx 1 (x + 5)⁹1 Je In + C + x-3 -100 1 9 In|x + 5|ln|x −…

A: We can find the answer as below

Q: The volume of a cube is increasing at the rate of 4cm³/min. How fast is the surface area increasing…

A:

Q: Find the area bounded by the parabolas (x - 2)² - 9py = 0 and y² = 9p(x - 2).

A:

Q: Calculate the average rate of change for the function f(x) = − x² + 3x + 4 intencal-1<x<3

A: We can find the average rate of change as below

Q: 5. We will be able to pay the debts if everybody pays his share. Converse Inverse Contrapositive :

A: To determine the Converse, Inverse and Contrapositive statepements of the following statement.We…

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bound by…

A: Volume of solid is evaluated using cylinderical shell method.

Q: 11. Evaluate 1 (a) √x (x² +1)³dx, (b) fdx (c) fda (d) fx x+2 ev dx √x²+4x IT'

A:

Q: A product can be produced at a total cost of C(x) = 500 + 100x² + x³ dollars, where x is the number…

A: Solved below.

Q: a. For the following function, find f'(a). b. Determine an equation of the line tangent to the graph…

A: This question can be solved using the concepts of application of derivatives.

Q: Determine wether the sequence converges, or diverges. If it Converges, S(2n-1)! 2(2n+1)!S

A: We have to find sequence converge or diverge..

Q: Advar Ex: If w = f(x,y,z), x=x(r,0), y =y(r, 0), z = z(r, 0), find wr, we? дw dz aw ax дw ду aw

A: We will use chain rule to solve this question.

Q: if a 3 letter word is formed by randomly choosing 3 letters from the word PAINTED, what is the…

A: This question can be solved using the concepts of permutation and combination.

Q: 6. f(In x)² dx

A:

Q: Evaluate the y' and Simplify the answers I Direct trigo functions y = x² sinx + 2xcosx - 2sinx

A: The function is given by y = x2sinx+xcosx-2sinx To evaluate: The first derivative of the function.

Q: 2π 3 [³* sin(y) + sec² (y) dy

A: We have to evaluate the given integral.

Q: 2. Given: polar curves C₁ : r = √√√2- cos 0 and C₂ : r = √√√2 + sin intersecting at A(³√2, ³) and…

A:

Q: o - 23 dy

A:

Q: y x3 - 2x*-5x + 2

A: Second Derivative Test : Consider the given function f(x) .Find Critical point , f'(x)=0 (say) 'c'…

Q: Ex: If w cos(uv), u = xyz, y = TT 4(x²+y²)' aw find at point (1, 1, 1). əx

A:

Q: Evaluate the double integral: 3 +9 Lo L₂ Y COS(2 (Hint: Change the order of integration to dy dx.) y…

A: The objective is to evaluate the double integral.

Q: Find_f'(x) 16. f(x) = sec² x - tan² x

A:

Q: The volume of a cube is increasing at the rate of 4cm³/min. How fast is the surface area increasing…

A:

Q: 1) Find |R'(t)|, Make sure to simplify your answer 2) Find the distance traveled by a particle…

A:

Q: PRECISE DEFINITION OF LIMITS Video Example: Use the precise definition to show that limx→2(x² + 3x)…

A:

Q: i can't understand your solution

A: We have to explain the solution.

Q: x3-4x-10 x²-x-6 dx.

A:

Q: Find the volume of the solid generated by revolving the region bounded by the given lines and curves…

A: Find the volume of the solid generated by revolving the region bounded by the given lines and curves…

Q: 16. Evaluate the integral or show that it is divergent dx x+1 1 (a) √ (3x+1)³², I (3+1), (b) /…

A: We need to find out here  integrals.

Q: Use the slopes of tangents to determine whether the function f(x) = -6x²+36x is increasing,…

A: The given function f(x)=-6x2+36x at the point x=4.

Q: 7. xdy = (5y + x + 1)dx Ans: y = -x-+cx5

A:

Q: Evaluate the double integral that will find the volume of a solid bounded by z = 4 − x^2 − 4y^2 and…

A: Let's find volume of solid.

Q: Fill in the Blank 1. u is

A:

Q: What integration technique can be used to integrate: O Integration Formulas O Trigonometric…

A: The given integration is I=∫53+x2dx

Q: f f(x) = 3 - 2x and g(x) = ln (x - 1) then (image attached) = 1. -2 2. None of these 3. 3 4. 1

A: Here, f(x)=3-2x, g(x)=ln (x-1) Now,…

Q: Find the volume generated by revolving the area bounded by y² - 4y - 4x + 4 = 0 and x = 1 about the…

A:

Q: A rectangular field having an area of 2500m2 is to be enclosed by a fence, and two additional fence…

A: Area=L×W=2500 m2 So,L=2500W The perimeter P=2L+2W+2W {to divide the field into three 2 fences of W…

Q: 1. Solve the differential equation (x-4y-3) dx-(x-6y-5) dy=0

A: