consider a function f (x) vihose derivative f"(x) is continuous as shown belowr. Graph of f'(x), NOT f(x) 2 1 2 4 -1 -2 At which value of x does the local maximum occur? Ox-1 O local maximum does not exist Ox-5 O x-3 3.

Q: Sketch the graph the integrands and use areas to evaluate the integrals. | Ix| dx -2

A: Follow the procedure given below.

Q: A rocket is launched from the ground at an angle measuring 0.63 radians. The rocket travels in a…

A:

Q: 2. A toy company finds there is a linear relationship between p, the price they charge for a…

A:

Q: sech (r?t2 using logarith mic differon Tiation ニ r

A:

Q: To find the distance across a small lake, a surveyor has taken the measurements shown in the figure…

A: The Cosine rule; a2=b2+c2-2bccosAb2=a2+c2-2accosBc2=b2+a2-2abcosC Given; a=850 ft, b=960 ft, C=75°

Q: (5) Find the volume of the wedge in the first octant that cut from the solid cylinder x² + y? < 4 by…

A:

Q: What is the probability you draw two cards of the same color from a standard 52 card deck you are…

A:

Q: Find the function F that satisfies the following differential equations and initial conditions.…

A: Given,  F'''(x)=6x, F''(0)=0, F'(0)=1, F(0)=1

Q: By using shell method, find the following volume a. y = x2 - 4x - 4 and line through point A(1,3)…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: 21-23 Use Definition 2 to find an expression for the area under the graph of f as a limit. Do not…

A: To solve the following problem s

Q: 3. Write an equation for each function graphed below (they are transformations of familiar…

A:

Q: 2. Find all the derivatives of f, given f(x) = x8 – 5x7 + 4x6 – nx* + 3x3 + 11.

A:

Q: Find y ' if xº = y* .

A: Given problem:- xy =yx  To find:- y'

Q: Solve the following set of equations with LUdecomposition: 3x1 – 2x2 + x3 = -10 2x1 + 6х2 — 4хз — 44…

A:

Q: Assume the coefficient on Age is -0.052 and the coefficient on Age-Squared is 0.0007. Based on this…

A:

Q: d Calculate ri(t) · r2(t)] and ri(t) × r2(t)] first by differentiating dt dt the product directly…

A: ddtr1(t).r2(t)=r2(t)dr1(t)dt+r1(t)dr2(t)dt ddtr1(t)×r2(t)=r1(t)×dr2(t)dt+dr1(t)dt×r2(t)

Q: Question 7 Find the volume of the solid that results when the region enclosed by the given curves is…

A: We need to find volume of enclosed region.

Q: Graph the function and find its average value over the given interval. g(x) = |x| – 1 on [-1,1]

A: We have to draw the graph and average value.

Q: Find the derivative of the function. f(x) = In x+ 2 f'(x) =

A: We have to find the derivative of the given function.

Q: (a³-8) g(a) = (Va²+4)* .3.

A: The given function,     ga=a3-86a2+43

Q: 24. Given z = 6x°y-e", calculate or z. A) 12y–x'e" B) 12y-ye" C) 12y-e" ху D) 12x - хуе"

A:

Q: Use power series to show that 1 1 1 e =- + 0! +...** 2! 3! 4! 5! 6! 117

A:

Q: evaluate the following integrals:

A:

Q: Šolve the optimization problem. Maximize P xyz with x + z = 9 and y + z = 9, and x, y, and z > 0.…

A: Note thate there are three variables and our goal is to express two of those as a function of…

Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

A: To find the volume of the solid that results when the shaded region is revolved about the indicated…

Q: What is the volume of the solid formed by revolving the region bounded by 4y = x and 4x = y about…

A:

Q: sinx 14. What is y" if y=' 1- cosx -sinx -cosx A) у'— C) y'= (1 – cos.x) (1 – cos.x) sinx (1 –…

A:

Q: d. q(x) = cot-1 ( ) 1-nx

A: Follow the procedure given below.

Q: Find the exact location of all the relative and absolute extrema of the function. (Order your…

A:

Q: wastebasket has a wire circle for the top and bottom, and six straight wire rods that hold the top…

A: Find your answer below

Q: 4. If ) dx=a+ 2b, then Sw+5)&r= (A) a+2b+5 (B) 5b-5a (C) 76-4а (D) 7b-5a (E) 7b-6a

A: A detailed solution is given below

Q: Use the divergence theorem to find the outward flux of F across the boundary of the region D. F=…

A:

Q: d Calculate r1(t) · r2(t)] and ri(t) × r2(t)] first by differentiating d dt dt the product directly…

A:

Q: An iron block weighs 5.2 N and has a volume of 272 cm³. What is the density of the block in kilogra…

A:

Q: "If a function is continuous at some point then it must be differentiable at that point". Do you…

A: No, i am not agree. If function is differentiable then it continuous , but not vice versa. For…

Q: Si s(2x)dx = 23. If f is a continuous fiunction and if F'(x) = ƒ(x) for all real numbers x, then (A)…

A:

Q: Use the transformation x = 2u + v and y=u+2v to evaluate where R is the triangular region with…

A:

Q: If the marginal profit is P'(x)=x^3-2x+100 and the profit for selling 10 items is $2000, determine…

A:

Q: Evaluate the line integral Vo dr for the following function o and oriented curve C (a) using a…

A:

Q: Verify Green's Theorem by evaluating both integrals Lv = / an_ aM dA dx + x² dy * ax ay for the…

A: Given problem:-

Q: A certain radioactive substance decomposes at a rate proportional to the amount present. Suppose…

A: I have appended the formula used in the solution part.

Q: dy = -xy %3D dx

A:

Q: dæ is equivalent to Using the substitution u = x + 1 Vx + 1 1 -du 1/2 du du -1/2 du - 1) /u2

A:

Q: Let R be a variable and r a constant. Compute the derivative. d :(° · R') = dR

A:

Q: The integral Jo So dydx represents what? O the area of a triangle the area of a rectangle the area…

A:

Q: For the following function f, find the antiderivative F that satisfies the given condition. 3 f(v) =…

A:

Q: determine which statement is true h(x) = (4x – 1)/ (9 – x) (A) not a function (B) function;…

A: h(x) is function and is not defined at x= 9.

Q: a) 2 B: .A card is drawn from a well shuffled pack of 52 cards. Find the probability of: (iv) a card…

A:

Q: The demand for a particular item is given by the function D(a) 1, 300- 3x2 Find the consumer's…

A:

Q: acceleration due to gravity.) x(t) = ft

A: