A cardboard box manufacturer wishes to make open boxes from rectangular pieces of cardboard with dimensions 16cm by 30cm by cutting equal squares from the four corners and turning up the sides. What is the domain of V? Find the derivative of V(x) with respect to x.

Q: A conical surface is defined as 0 = 30°,0 < y< 2n,0<r< 2, the lateral surface area is what?

A:

Q: 19x + 50 The average cost for a company to produce x units of a product is given by the function…

A: We have to solve above question and find the change average cost

Q: For the curve with parametric equations x = 4 sin (t) – 1 y= 2 cos (1) + 3 dy find the point dx at…

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Q: Suppose that , g(t) dt = v7 rg(x)] dx 1. g(r) dr 2.

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Q: 14x + 1250 The average cost for a company to produce x units of a product is given by the function…

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Q: // Find the Area bounded by: x = -y2 and x = y- 2

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Q: Q2// Solve the following differential equation: e2y dx + 2(xe2y – y)dy = 0

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Q: 6. Determine if is con n=1 (3n-1)*

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Q: Given that the vectors X1 = () e- -2t ,X1 = (C)e-6t are solutions of a system x' = AX, do they form…

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Q: The MAIN use of Newton's Method is to: OFind the roots/zeros of a function O Find the derivative of…

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Q: Sketch the graph of the cardioid r = 1 + cosθ and the circle r = 3cosθ. Shade the region that is…

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Q: Solve of the following equation 4 y' +y = x'y? Given by x3 In x – c -x3 In x + c O Option 1 O Option…

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Q: Find the local linear approximation L (x) of the function f(x) = 5 – x² at =2.

A: To find the linear approximation of given function.

Q: Find an equation of the line tangent to the curve r = sin 30 at the point where 0 = klo

A: Polar curve

Q: dy 1 dx 3y3 By the method of separating the variables y = x3 y = Vx+ c Option 1 Option 2 y = vx + c…

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Q: -4 -3 Find the eigenvalues of matrix 6. 5 A. 1 & 2 B. -1 & 2 C. 1 & - 2 D. -1 & -2 E. None

A: Let's find.

Q: A radar, using the polar coordinate system, detects that an airplane is currently located at the…

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Q: Find fr(r, y) and fy(x, y) given f(r, y) = tan r - cos(r² – y²).

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

A: We can answer both the question as below.

Q: x³+2x? -3x x²+4x+3 2) Evaluate lim -6-1. x→-3

A: Use l-hospital rule.

Q: Vx-5 1) Evaluate lim 10. x25 X-25 Show every step.

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Q: Radioactive Carbon-14 The percentage Pof radioactive carbon- 14 remaining in a fossil after t years…

A: Note: As P and b for the first question are not given in the data provided by you. Solved the second…

Q: 2. Write down the name of the conic given by the polar curve r = 6/ (3 - 2 cose). Determine the…

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Q: 19x + 900 The average cost for a company to produce x units of a product is given by the function…

A: To find change in average cost as production goes from 150 to 151 units.

Q: d а. dx (e* cos.x) cOs x

A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: The function g(t) = (8t)t – cosh? t + sinh? t satisfies gʻ(c) = 0 for which value of c?

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Q: Area: 7A square centimeters

A: The length is 7/3 cm and breadth is 3 cm or vice-versa for the perimeter to be minimum

Q: From a building across the street, the angle of depression of the foot of an edifice is measured as…

A:

Q: Select the conic section represented by the equation. 13x 2 + 5y 2 - 6x + 3y - 5 = 0 circle point…

A: We can select the conic section as below.

Q: Without eliminating the parameter t, find a Cartesian equation for the line tangent to the curve C,…

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Q: 4n – 9 5n + 4 S - Given that sequence {an} = { (а) Show that the sequence is monotonically…

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Q: x³+2x2-3x x² +4x+3 2) Evaluate lim -6-1. X-3 Show every step.

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Q: Without eliminating the parameter t, find a Cartesian equation for the lin curve C, defined by the…

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Q: Find a unit vector in the direction of the given vector

A: Given:        v=-9,-12 Unit vector formula is the vector divided by its magnitude.  The formula for…

Q: determine which statement is true y = (x + 2)2 + 2  (A) not a function (B) function; domain: R…

A: Given that       y = (x+2)2+2

Q: / Solve the following differential equation: e2y dx + 2(xe2y – y)dy = 0 -

A: To solve the given differential equation.

Q: Find the differential dy of the given function. (Use "dx" for dx.) x + 1 4x - 7 dy

A:

Q: 37. v = (60, 11}

A: Unit vector n→ in the direction of a vector v→ is given by, n→=v→v→, where v→ is the length of the…

Q: Use the properties to evaluate the integrals. 1. S; (1 + ) dx

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Q: Consider the series n+5 Determine whether the series converges, and if it converges, determine its…

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Q: Investigate the given two parameter family of functions. Assume that a and b are positive. f) =…

A: We will plug the values of a and b to do the analysis.

Q: Let g(x) = | f(t) dt, where f is the function whose graph is shown. y f 4 4 20 (a) Evaluate g(0),…

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Q: What is the derivative of f (x) = 3x³+2x using the limit definition (please use delta x if possible)

A: A detailed solution is given below

Q: Select the conic section represented by the equation. 2x + 5y - 7 = 0 ellipse parabola point…

A:

Q: 7. f(x) = x* - 4x³ +3x? +4x – 5 Domain: y Range: Rel. Maximum(s):. Rel. Minimum(s): End Behavior: As…

A: We have to find the graph, Domain, Range, relative maximum, relative minimum, End behaviour,…

Q: Find dy/dx: solution in handwritten 1. y = 5* (** + dx VE х4 3 -x²,

A: Using leibnitz rule for integral.

Q: Q1// Find the Area bounded by: x = -y2 and x = y-2

A:

Q: approximate sin 85° Sin a to 4 decimal poths. Compart to ne exact value if you using P(x) of me…

A: Here, to find the Taylor polynomial of the function f(x)=sin x around the point a=π2 which is given…

Q: is the graph a function?

A: To determine whether the given graph represents a function.

Q: Solve me initial No need to Jimphiry. by value the separaion of variables a.

A: To solve the following initial value problems by the separation of variables.a y'=1+y2, y0=1b…