Find the domain of the vector-valued function. (Enter your answer using interval notation r(t) = √√√9-²i+t²j - 5tk

Q: 3 • xy²-2y = x ²cos4x (x-2) • FY+ 2(x-2) ³

A: As per our guideline if multiple questions are posted we are supposed to answer only the first one.…

Q: Find the slope of the tangent line to the polar curve r = 2 sin(36) at the point corresponding to =…

A: NOTE: Refresh your page if you can't see any equations. . substitute the given angel

Q: Sketch a graph of a function that is negative on(0,2), increasing on [2,4], and has x-intercepts at…

A: As per the guidelines we are supposed to answer only one question at a time. If you want answers of…

Q: A country's postal service will accept a package if its length plus its girth (the distance all the…

A: Let x be the a side of the square base and y be the length of the package.

Q: Use Fubini's Theorem to evaluate the double integral ff f(x,y) dA, where f(x, y) = −3x²-x²y - 3y²…

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Q: 4. y' - (3+anx)y = 1

A: need to find out the general solution of the differential equation.

Q: Soft ty √x³+1 dx dy 3

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Q: 3 Drum Tight Containers is designing an open-top, square-based, rectangular box that will have a…

A: Given: Drum Tight Containers is designing an open-top, square-based, rectangular box that has a…

Q: b.) If r(x)= 1 √g(2x) > find r'(x) at x = 2

A: Topic = Derivative

Q: Use implicit differentiation to find dy/dx and d²y/dx². xy + 3 = y, at the point (4, -1) Select one:…

A: According to guidelines I can solve only 1st question

Q: Apple music subscription fees for $10 a year. After paying a subscription you purchase 4 items your…

A: To describe a linear function which relates the cost with no. of songs purchased.

Q: 3. A tank contains 400 liters of brine holding 300 kg of salt in solution. Water containing 125 g of…

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Q: Given cost and price (demand) functions C(q) = 110q+41,000 and p(q) = -2q +880, what price maximizes…

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Q: a. Squares with sides of length x are cut out of each corner of a rectangular piece of cardboard…

A: a) Given:     The dimension of the cardboard is given as:      Length=41 ft      Width=22 ft Assume…

Q: A commercial cherry grower estimates from past records that if 45 trees are planted per acre, each…

A: Topic - Application of derivatives We are given A commercial cherry grower estimates from past…

Q: In Exercises 17 – 18, sketch the ellipse defined by the given equation. Label the center, foci and…

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Q: Find the intercepts and asymptotes. (If an answer does not exist, enter DNE. Enter your asymptotes…

A: The given function rx=3x2-30x+76x2-10x+25 We have to find the domain, range, horizontal and vertical…

Q: Find the limit using I' Mopital's Rule where appropiate. net, the some way ele several times). (IF…

A: keeping a note ?as per our company guidelines we are supposed to answer ?️only first 3 sub-parts.…

Q: ſ f(x,y) dA, where ƒ(x, y) = −525 – 3x and D is the triangle with vertices (–1, 0), Set up the…

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Q: 3. Evaluate the following integral COS X | sinx+cosx sin x + cos x O a. In\sinx + cosx| + C O b.…

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Q: 4. At what point does the exponential function overtake the linear function on the interval (0,00)?…

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Q: 16) Write a possible expression for a rational function, whose graph is below: 4 Y 3 2 1…

A: see below the answer and explanation

Q: Optimal Chapter-Flight Fare If exactly 180 people sign up for a charter flight, Leisure World Travel…

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Q: Find the orthogonal trajectory for the family of straight lines passing through the point (1,1).…

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Q: Then determine the x-coordinates of all relative maxima (minima). 1.  F is increasing on the…

A: Given: fx=4x+8x To find: Intervals on which function is increasing or decreasing, point of relative…

Q: A bank features a savings account that has an annual percentage rate of r r = 4% with interest…

A: Topic - Compound interest  we are given, Present value: P=$9500Annual percentage rate =4%=0.04number…

Q: Consider the following function. f(t) = 70e0.4t (a) Find the relative rate of change.       (b)…

A: Given query is to find relative rate of change

Q: 16+² x da

A:

Q: 8:49 A particle moves along the x-axis position at time 0 < t < 18 is g x(t), whose graph is shown…

A: We have to find the interval  such that particle is decreasing

Q: Let u(x) = sin(x) and v(x) = x20 and f(x): u'(x) = v'(x) = f' = u'v - uv' v² = u(x) v(x)

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Q: Set up a triple integral for the volume of the solid. Do not evaluate the integral. The solid in the…

A: See this solution in below.

Q: y 5 sin(x) cos(x) + 4 csc(x)

A: Given query is to find the derivative of the function.

Q: A homeowner wants to build, along his driveway, a garden surrounded by a fence. $2 per foot $6 per…

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Q: 4. If y = tan-¹(cos x), then dy = dx

A: As we know the Chain rule: fgx'=f'gx·g'x And Use the common derivatives.…

Q: dx √ ₁ (1-x²7/01/2 0

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Q: Find the derivative using the chain rule of the following: 4 f(x) = (1+x4_. NO NEED TO TYPE IN YOUR…

A: Topic - Derivative of a function We are given, f(x)=1+x4-1x53formulas used:chain…

Q: xdy +y=xy dx 3

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Q: Fill in the spots in the integration process below based on the indefinite integral 4x²-25 S using…

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Q: If f(x)= f'(x) = f'(4) = = 3tanr X 2 then

A: I am attaching image so that you understand each and every step.

Q: If f(x)= f'(x) = f'(4) = = 3 tan x X " then

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Q: If f(x) = f'(x) = f'(4) = = cos x - 7tanz, then

A: To differentiate the given function

Q: Find the linearization L(x) of f(x) at x = a. f(x)=√√6x4, a = 0 Select one: OA. L(x) = ² × - 2 OB.…

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Q: 1. f(x)= sqrt(x^2-4) Where is the function positive? A) [0, infinity) B) (2,infinity) C) (0,…

A: 1) Given: sqrt(x2 - 4) we know that square root is not defined for negative input as we will get the…

Q: The plane y + z = 2 intersects the cylinder x2 + y2 = 5 in an ellipse. Find parametric equations for…

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Q: = Let the demand function for a product made in Dallas is given by the function D(q) = - 1.7q+260,…

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Q: 7. For the function f(x) = 4x 3 + 3x2 − 6x + 1, D = (−∞, ∞) (a) Determine on which intervals f(x)…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Evaluate the integral. (Use C for the constant of integration.) | √₁³²-2² 49 - x² X dx

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Q: y = √x² (2x - x²)

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Q: 5 5 Find the derivative of the function s = cos (9t) + 9 -sin (3t). 3x

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Q: Use Fubini's Theorem to evaluate the double integral ſf f(x, y) d.A, where f(x, y) = 2x − 4xy² – 8y…

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