Comma SECRE Find the critical numbers of the function Center your answers as a list, an answer does not exis g(x) = x ²45 ● x-s

Q: Consider the differential equation (4D² + 4D + 1)y = xe-x/2 sinx the associated homogeneous equation…

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Q: (8) Find the differential for the function using logarithmic differentiation. y = (sin x) (sec); (A)…

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Q: Find the present value of a continuous income stream F(t) = 30 + 6t, where t is in years and F is in…

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Q: Given the graph ƒ(x), find ³5 f(x) dx using formula(s) from geomet

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Q: A theater charges $70 per ticket for seats in Section A, $50 per ticket for seats in Section B, and…

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Q: Hi! How about for #3? Thank you so much in advanced!

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Q: If we have to y = C₁e* + c₂xe* is the general solution of the homogeneous differential equation…

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Q: If a 5, b= 7, and c= 11, find the measure of ZC. ZC b C • Enter your answer as a decimal value. •…

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Q: (1) The critical values of f(x) = 9x + 16x³ + 6x² + 7 are at x = (A) 0 only (B) -1 and 0 (C) -1 and…

A: To find the critical values of .

Q: Let u, v be unit vectors and c ∈ R be a scalar. Use the fact that Dvg(a, b) = ∇g(a, b) · v to show…

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Q: Find the first-order partial derivatives of 13x+4y² 8x - 7y f(x,y)

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Q: Let f(x) = x³ - 2x² - 5x + 6. If x = 1 is a zero of f(x), use the Factor Theorem and synthetic…

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Q: 6. ∞ Σ η=1 1 3η – 2n

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Q: A rainstorm increased the amount of water stored in State J reservoirs from 124 billion gallons to…

A: The objective of the question is to find out how many billion gallons of water were the reservoirs…

Q: Find the absolute maximum and minimum values of each function over the indicated interval, and…

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Q: ELASTICITY OF DEMAND: A company can sell q=11270-23p of a certain model of digital camera (given in…

A: A company can sell  of a certain model of digit camera at a price of p dollers each. Then we have to…

Q: Use a triple integral to find the volume of the solid bounded by the surfaces z = 2e and z=2 over…

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Q: Find the limits of integration ly, uy, Ix, ux, Iz, uz (some of which will involve variables x, y, z)…

A: The given plane equation is To find:- The limits of integration

Q: A2. x-

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Q: So 1.50 F. dr where F = (3z, -4y, -3x), and C is given by F(t) = (sin(t), t, cos(t)), 0≤t≤π.…

A: We use the concept of line integrals to find the work done by the force vector F along the curve C.

Q: Assuming that a 270-foot tall giant redwood grows vertically, if I walk a certain distance from the…

A: Let x be the distance from the base of the tree. The figure

Q: Suppose that f(4) = 6 and f(9) = 7. Which of the following statements must be true? (i) If f(x) is…

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Q: Annual sales of fountain pens in Littleville are 5,000 per year and are increasing by 6% per year.…

A: The exponential function is given by,The annual sales of fountain pens are 5000 per year so take…

Q: Suppose sin(theta) = 3\5 and theta in quadrant 2. Find the exact value of the following. Solve with…

A: We have given thatsinθ = 3/5 and  lies in 2nd quadrant .

Q: The marginal profit, in dollars from drilling a well that is x feet deep is given by P'(x) = x. Find…

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Q: a. Determine, without graphing, whether the function has a minimum value or a maximum val b. Find…

A: f(x)=3x2-30x-3

Q: Find the relative extreme points of the function, if they exist. Then sketch a graph of the…

A: Consider the function

Q: y=x149+x2 Ау 35- 28- 21- 14- А X

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Q: Lets (t) = 51² - 24t be the position function of a particle moving along a coordinate line, where s…

A: Given,

Q: Solve the following inequality. Write the answer in interval notation. 9x - 4 x + 2 ≤-5x

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Q: find the values of x for which y is a maximum or minimum in the following cases, and state in each…

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Q: Consider the following initial value problem: y" + 81y = 98(t — π); _y(0) = 0, a) Find the solution…

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Q: Find the total area of the shaded region bounded by the following curves. x= 12y²-12y³ x=2y²-2y

A: From the given graphRegion is bounded by x=12y2−12y3 and x=2y2−2yFrom the…

Q: Find e if a 2.7 mi, b= 3.6 mi and ZC = 41.5 degrees. mi; C=

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Q: You are building a closed wooden shed in the shape of a rectangular box with a square base. The shed…

A: You are building a closed wooden shed in the shape of a rectangular box witha square base. The shed…

Q: Problem Let g(x) = f f(t) dt, where f is the function whose graph is shown below. Evaluate g(4). 2 1…

A: Consider the graph

Q: Find f'(x). f(x)=e17x f'(x) =

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Q: Find the derivative of Y: a) y = 10 (x + 1)¹ √ (2x+1)5

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Q: 3. For each part, let {an} be the sequence with the given general term starting v Answer the…

A: As per our guidelines we can answer only 3 subparts of the given problem so kindly repost the…

Q: Consider the function the f(x) = x¹(4 − x)³. (a) Find all critical numbers of f(x). (b) Find the…

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Q: Find dx al dx y=3 log ₂x (Simplify your answer.)

A: Giveny = 3 loga x

Q: Suppose f(x, y, z) = x² + y² + 2² and W is the solid cylinder with height 5 and base radius 6 that…

A: Now, the cylinder's base is,

Q: Evaluate the integral 1 S 2 √xe - √x sec ²³ (5e √x + 1) dx.

A: I=∫1xe−xsec2⁡(5ex+1)dx

Q: (7) Find the local linear approximation of f(x) = √2+3 at zo = and use it to estimate the val of…

A: The linear approximation of function f(x) at  is The given function is

Q: Given: (x is number of items) Demand function: d(x) = 762.3 – 0.2x² Supply function: s(x) = 0.5x²…

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Q: Evaluate the limit. 3t2t t lim t-0 log 3 -log 2 X

A: Limt-0-2t)/t

Q: 9.) Let E be the tetrahedron with vertices: (0,0,0), E is bounded by four planes: z = 0, x=0, 2 3…

A: Volume of tetrahedron

Q: Graph the polynomial P(r) = ³ + ² -5r +3 using calculus by showing the given steps: (a) Find the r-…

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Q: A company is considering expanding their production capabilities with a new machine that costs…

A: Given that Initial Investment = $97,000Lifspan = 9 yearsEstimate Increased = $ 11,000 per yearRate =…

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

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