1) a) Solve the following inequalities: (i) 5 (11-q)

Q: Write each equation in polar coordinates. Express as a function of t. Assume that r > 0. (a) y = -9…

A: NOTE: Refresh your page if you can't see any equations. . use the cartesian to polar substitution…

Q: sinking fund is established to discharge a debt of $40,000 in 5 years. If deposits are made at the…

A: Given query is to find the amount of each payment.

Q: Find the second derivative of the function. (Simplify your answer completely.) f(t) = 4e−5t − 5e−t f…

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Q: Housing PricesThe Estradas are planning to buy a house 4 years from now. Housing experts in their…

A: The present cost of the house = 300,000 dollars  Since the price increases at a rate of 2%/ year…

Q: ollowing differential equation dy y + dx X 11 = ex

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Q: Grain pouring from a chute at the rate of 12 ft3/min forms a conical pile whose height is always…

A: How fast is the height of the pile increasing at the instant when the pile is 8ft high? change in…

Q: f(x) = 4x√√√2x² +1

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Q: 3 Given the function of f(x) = -1 + on the interval [-8, -2], find a point c between -8 7x and-2 so…

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Q: An oil spill along a straight coastline (from a broken oil pipe) spreads in the shape of a…

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Q: Cost, revenue, and profit are in dollars and x is the number of units. The average cost of a product…

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Q: Given the velocity v = ds and the initial position of a body moving along a coordinate line, find…

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Q: Find the derivative (simplify, but do not rationalize): f(x) = sinh ¹(x³)

A: Given: f(x) = sinh-114x3

Q: sinon fex) = Find a fonction fix such that f'(x) = -4e²+ x and f(0) =2 11A 159 26d 1916 126 k

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Q: Use the Alternating Series Test, if applicable, to determine the convergence or divergence of the…

A: NOTE: Refresh your page if you can't see any equations. . use the alternating series test

Q: 5. Set up a triple integral to find the volume of the tetrahedron that has vertices (0,0,0),…

A: Given vertices ( 0,0,0 ) ( 0,0,4 ) ( 3,0,0 ) ( 0,4,0 )

Q: The area of the rectangular piece of cardboard shown below is 198 square inches. The cardboard is…

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Q: WeBWork: math-1371-f22: Web x → с…

A: We will find the required.

Q: Consider two nonnegative numbers x and y where x + y = 15. What is the maximum value of 14xy? Enter…

A: Given query is to find the maximum value of the Indicated expression.

Q: Use the Second Derivative Test to find the location of all local extrema in the interval (-7,5) for…

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Q: Find the exact length of the curve. y² = 4(x + 1)³, 0≤x≤ 3, y> 0 Need Help? Master It

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Q: A certain unit produced by the company can be sold for 200-0.02x pesos where x is the number of unit…

A: We need to find out the price  per unit that will maximize the revenue.

Q: Use the graph of the function to estimate the interval on which the function is increasing. y -SA-…

A: Increasing Function:  If f(x) is a function, and x1 and x2 are any points in the domain such that x1…

Q: If a company has total costs C(x) = 10,000+ 15x + 0.2x² and total revenues given by R(x) = 265x…

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Q: Identify which of the following formulas applies to the future value of a series of payments, with…

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Q: Consider the following acceleration a = a=32, v(0) = 15, s(0) = 6 d²s initial velocity, and initial…

A: To solve the following problem

Q: Consider the following. 8 [²x³ dx r8 Rewrite the integral ¹11° (x x³ dx = 1,020, • 8 8 8 0 [*(x -…

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Q: question 18

A: We need to find dimension of fencing.

Q: Given the following graph a. Evaluate f (3). f(3) = Number b. Solve for f(x) = 3. n ril H Submit…

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Q: Given [³F(x) f(x) dx = 19 and (a) ſº f(x) dx. (b) fºot ff f(x) 5 f(x) dx. 5 c) f³ F(x 5 (c) f(x) dx.…

A: NOTE: Refresh your page if you can't see any equations. . here we have .

Q: Sketch the situation if necessary and used related rates to solve for the quantity. If two…

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Q: Use properties of power series, substitution, and factoring to find the first four nonzero terms of…

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Q: 2. Let's make an open-topped box from an 8.5 x 11-inch sheet of paper by cutting squares of length…

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Q: Calculate the gradient of f(x, y) = cos(x² + 3y) Vf= A

A: To calculate the gradient of the function.

Q: Find the form of guess of the particular solution. 4y" + y = e^-2t sin (t/2) + 6t cos (t/2)

A: Solution: Given data, 4y" + y = e^-(2t)sin(t/2) + 6t cos (t/2) By using method of undefined…

Q: Find the center of curvature of the curve y=2x^3+3x^2 at (1,5). O (-235/18, 287/3) O (235/18,…

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Q: 2. Solve the following equation. Round your answer to the nearest hundredth. Answer: ex – gex + 18 =…

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Q: √4 4一步 100 n=1

A: See this solution in below

Q: Find an equation of the tangent line to the given curve at the specified point. е e6x y-of (1₁60) у…

A: Given query is to find the equation of the tangent.

Q: A function f(x)f(x) and interval [a,b][a,b] are given. Check if the Mean Value Theorem can be…

A: Given; f(x)=11lnx+6 on[1,6]

Q: 1 Σ √n Inn 71 2

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Q: -2x² + 7x - 8 - (x + 2) (2x - 1) (1 - x) (A) (B (С) (D -dx = -4 ln x + 2 + In|2x - 1| + ln|1 - x| +…

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Q: Find the arc length function for the curve y = sin(x) + √1-x² with starting point (0, 1). s(x) = 4…

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Q: Find the derivative of y with respect to x; where x = 2 sin t & y = 4 cos t.

A: Given:        x=2sin t       y=4cos t here differentiating with respect to t       dxdt=ddt2sin t…

Q: Sketch the situation if necessary and use related rates to solve for the quantity. A 10 -ft ladder…

A: Let the horizontal length of bottom of ladder from the wall is x ft and the height of the wall is y…

Q: Use Newton's method to approximate the x-coordinate of the point where the graph of 4x3 - 10x-5…

A: NOTE: Refresh your page if you can't see any equations. . the given function is  and the given line…

Q: Suppose that f'(x) = 2x for all x. a) Find f(1) if f(0) = 0. b) Find f(1) if f(2)=0. c) Find f(1) if…

A: Given that f'(x)=2x for all x. We have to find the required values.

Q: The principal argument of the complex number −9+2j (rounded to the nearest degree) is equal to: 76°…

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Q: 3. Use cylindrical coordinates to evaluate 3 √9-x² [² [³²*² [√²²+³ (2² + y²) ³¹ dzdydz 0 Jo

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Q: Using Rolle's theorem for the following function, find all values c in the given interval where…

A: Given query is to apply rolle's theorem.

Q: A manufacturer produces bolts of a fabric with a fixed width. The quantity q of this fabric…

A: NOTE: Refresh your page if you can't see any equations. . the given revenue function is  so we can…