Give your final answer in interval notation. Find (by hand) the intervals where the function y=x³-27x+2 is increasing and decreasing. y is increasing on and and decreasing on

Q: Please review and solve problem 1 part 'a' and 'b' and explain how the answer was found. Problem…

A: 1(a)xcos(x3)=∑n=0∞​(2n)!(−1)nx6n+1​=x−2!x7​+4!x13​−6!x19​+...1(b)∫01​xcos(x3)dx=21​−161​+3361​=0.440…

Q: Below is the graph of the function f (a) and a table of the graph of g (a). Solve the equation g…

A:

Q: halp

A: The area between the given curve and the x-axis from x = 1 to x = 2 is 1/6 square units.Explanation:

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: The work done is 13714J.Explanation:Given:Force vector = [10, 15, 67] Ndistance d = [140, 75, 167] m…

Q: Question 9: Using the fact that i²= -1 and the identities: and cos(x)=(-1)" x2n (2n)!' n=0 x2n+1…

A: Given that To prove

Q: Use implicit differentiation to find x³+3x²y+y³=8 dy dx

A:

Q: A manufacturer has been selling 1500 television sets a week at $540 each. A market survey indicates…

A:

Q: In this problem, p is in dollars and x is the number of units. If the supply function for a…

A: 996Explanation:Detailed explanation:

Q: Find the length of the arc of the curve y = ln x over the interval: [1,4]. Round the answer to four…

A:

Q: (a) Find the length of the curve y = x4 - 16 + 1 1 ≤ x ≤2 2x2

A: Since you have asked multiple question as per our policy, we will solve the first question for you.…

Q: If [5 - -8 A = [611] 0 " then A- 1 =

A: The objective of the question is to find the value of 'A - 1' given the equation '5 - -8A = 611'.

Q: Find the centroid of the region 8 -8 8 x

A: Given:a region consisting of a triangle and a quarter circleTo find:centroid of the region.The…

Q: Calculate the asymptotes of the following functions provided in the image

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

Q: * x f(x) f'(x) 1 3 1 2 -1 3 3 3 3 5 -2 4 -2 4 5 4 -2 The table above gives values of f and its…

A: a)we can estimate the value of f'(1.5) to be 1.b)Why must there be a value c for 1<c<3 for…

Q: Find the value of (fog)' at the given value of x. Assume that f'(3)=6, g'(4) = -5, g(4)=3, and y =…

A: Given data

Q: would greatly appreciate if you could solve this please

A: (a)A=41​,B=43​(b)x2​=0.7612x3​=0.7673Explanation:Step 1:Step 2: Step 3: Step 4:

Q: (a) Graph each of the following functions on the same screen, using the viewing rectangle [0, 1,…

A: for question a see the attachment for explanation and answerafter plotting the points on the graph…

Q: A box is contructed out of two different types of metal. The metal for the top and bottom, which are…

A: Let x be the side length of base square Let z be the height of the boxThe figure of box

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: f′(x)=−(3x−5)23​Explanation:Step 1:Step 2: Step 3: Step 4:

Q: -Given two parallel planes, calculate the distance between them ₁ =5x+2y-12-2 2=15x+6y-3z+5 x = 0 Y…

A: (.) Given parallel planes are,       (.) Distance between two parallel planes  and  is..

Q: For what value of a is the following function continuous at every x? x²-13, x<13 f(x)= 2ax, X≥13…

A:

Q: A culture contains 1800 bacteria initially and doubles every 40 minutes. Assuming that the rate of…

A: The objective of this question is to find a function that models the growth of bacteria over time…

Q: tan-1(x) sin x f(x) = 1 for x 0, for x = 0, x²ln(-x)+x+1 for x < 0.

A: f(x) is a descrete functionWe have to find f(x) is continuous and differentiable at x= 0 or not

Q: The temperature at a point (x, y) is T(x, y), measured in degrees Celsius. A bug crawls so that its…

A: Find your answer below.Explanation:Step 1:    Step 2:we need to use the chain rule to approximate…

Q: Consider the graph of H(t) = k(1 - 6t) where k is a positive constant. (a) Find the coordinates of…

A: (a). Horizontal intercept : (61​,0)  (b). Vertical intercept : (0,k)   Explanation:

Q: Evaluate the following double integral: x2 SL √x² + ydzdy. 0

A:

Q: f'(x) = ƒ' (e³) = f(x) = (ln x)7

A: ∙  f′(x)=x7(lnx)6​∙  f′(e3)=e35103​Explanation:

Q: and Y. If Zxy = -5y, what Assume z is a smooth function of x can you say about each of the…

A: Answers: (a) −5y(b) 0(c) −5Explanation:Step 1:

Q: Calculate all four second-order partial derivatives and check that fxy = fyx. Assume the variables…

A: fxx= -98 sin(7x) cos(2y) fyy = - 8 sin(7x) cos(2y) fxy = - 28 cos(7x) sin(2y) fyx = - 28 cos(7x)…

Q: ☐ ☐ 1. Evaluate the Integral リ x7 خروجه 5x8 +3 dx

A: 401​ln(58+3)+CWhere C is a constant.Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Find the area between the curve y = xex and the x-axis from x = 1 to x = 4. (Give an exact answer.…

A: Therefore, the required area is A=21​[e16−e] square units.Explanation:Step 1: Step 2: Step 3: Step…

Q: Find the exact value of each of the remaining trigonometric functions of 0. sin 0= 15 17 0 in…

A: Cosθ=−178​Tanθ=−815​Cscθ=1517​Secθ=−817​Cotθ=−158​Explanation:For any query with the solution,…

Q: 2 #12 Given f(x, y, z) = 3√ √ x²+ y²+z² (a) Find the linear approximation L(x, y, z) near the point…

A: a.) The linear approximation is L(x, y, z) = 2√2 + (-1/√2)(x + 2) + (1/√2)(z - 2)b.) The linear…

Q: A company that services a number of vending machines considers its income as a continuous stream…

A: To find the income from the stream over the next 8 years, we need to integrate the function f(t)…

Q: Suppose that functions f and g and their derivatives with respect to x have the values shown to the…

A: Since you have asked multiple sub parts in a single request so we will be answering only first three…

Q: Let 60, 61. What is the derivative of the function y = b²? In(b) -In(x) 1 1 In(b) ○ b* In(b) eIn(b)…

A: Option (c) is the right answer. Explanation:

Q: Make a sign diagram for the derivative of the function: f(x) = −x4 + 4x3 − 4x2 + 5

A: The objective of this question is to create a sign diagram for the derivative of the given function.…

Q: 1. a) The diameter of a balloon, d, is decreasing at the rate of 0.3 cm/s while the height, h, is…

A: Note: According to Bartleby guidelines we can solve only one question.  If you want more questions…

Q: ☐ 5. Evaluate 元 ○ 1 0 ○ Undefined 3π/2 tan(4x)dx ☐ 6. Evaluate 3/2 [ar/a Π sin(4x)dx ○ 1 ○ 0 4 ○ 4π

A: 5.) 06.) 0Explanation:

Q: In this problem, p is in dollars and x is the number of units. The demand function for a certain…

A: Thus, the equilibrium point is (x,p)=(3,112).The consumer's surplus at the equilibrium point is…

Q: Use the Chain Rule to find Əz/ǝs and Əz/ǝt. z = x5y5, x = s cost, y = s sin t Z Əz || дл at ||

A: Answer is given below.Explanation:Step 1:--Step 2: Step 3: Step 4:

Q: All solutions of the differential equation  y' = −6 − y4  are decreasing functions.

A: The given differential equation is y' = -6 - y^4. The derivative y' represents the rate of change of…

Q: Find all points (if any) of horizontal and vertical tangency to the curve x = 6+2cose, y = -2+ sine.…

A:

Q: Describe the motion of a particle with position (x, y) as t varies in the given interval. x = 7…

A: We have to find the motion of the particle: .Clearly, for different values of t we can get different…

Q: 1 3. Find the area under the curve y = x³ + 3 -x+4 from 0 to 2.

A: A=338​squareunitsExplanation:Step 1: Sketch the graph of the equation y=x3+31​x+4. The graph is…

Q: In this problem, p is in dollars and x is the number of units. Find the producer's surplus at market…

A: Ans. ) Required producer Surplus is $133.34. Below is the explanation of the…

Q: Please review and solve problem 6 part 'a' and 'b' and explain how the answer was found. Problem…

A: The answers are attached.Explanation:Step 1:

Q: Newton’s law of cooling states that the rate of change of the temperature of an object is…

A: The objective of the question is to show that the function u(t) = T(t) - Tomg, where T(t) is the…

Q: 0218 X 17 (2) 600 x 38 131 784 X 44 (47664 X 18 157146X1

A: We need to perfrom multiplication.

Q: Consider the following. f(x, y, z) = x²yz - xyz, P(6, -1, 1), u = (0, (a) Find the gradient of f.…

A: Consider the following.a) Find the gradient of f.b) Evaluate the gradient at the point P.c) Find the…