Find the limit of the function along the path y = 2x X-1 lim (x.y)-(0,0) y -1

Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -...

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Q: For the following composite function, find an inner function u = g(x) and an outer function y =f (u)...

A: topic - functions and derivatives

Q: |(1 – 32)} dx [a (1 – 43)! (1— 4х): (1 – 4x){ + C 3 + C 4 + C 3 none of the above

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Q: For what values of x d X = II

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Q: Given Cost and Price (demand) functions C(q) = 100q + 40000 and p(g) = - 2.6q + 800, what is the mar...

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Q: 2. An object is launched upwards moving on a straicht line Its height in metres, i5 given by the equ...

A: Topic = Algebra As per guidelines , At a time only three sub-parts can be answered.

Q: You are standing 42 meters from the base of a building. You estimate that the angle of elevation to ...

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Q: 2. Find the area of the region bounded by the graphs of y = x2 - 6 and y-3 = 0.

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Q: Suppose that y varies inversely as the square of x, and that y = 9 when x = 13. What is y when x = 1...

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Q: Evaluate the integral. 2 dx 5 Vx (3 +2x)

A: We will solve the integral by substitution method. By (3+2√x)=t

Q: 1. (a) State the Intermediate Value Theorem (IVT). (b) Show that the equation r+3r +1 0 has at least...

A: Let f be a polynomial function. The IVT states that if f(a) and f(b) have opposite signs then there ...

Q: 5. Prove that lim Show your t→-2 t+2 complete solution.

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Q: 22 – 12z + 32 Find the vertical asymptote of y = 22 – 28z + 160 Note: Give the exact answer but not ...

A: The vertical asymptote of the given curve is solved below in detail.

Q: V 3x – 4 FINDTHE DERIVATIVE USING THE DEFINITION

A: Given: fx=3x-4   As we know from the definition of the derivative; The expression for the derivative...

Q: Find the total area of the shaded region. AY 16- 14- 12 10 32 40 12 14 16-

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Q: 4. Evaluate each of the following. (1) E6+3. 2 &x (Recall that k = k2+k. You should have H, in your ...

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Q: A hotel rents rooms to customers by the night. The hotel determines that if it sets the price of the...

A: NOTE: Refresh your page if you can't see any equations. . x=number of rooms y=price per room from th...

Q: x +1 xp- x3 + x2 – 6x d.x

A: As per our guidelines we are supposed to answer only one question. Kindly re-post other question as ...

Q: Create your own examples. Formulate one given 4x4 equation (4 equations and 4 unknowns). Solve each ...

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Q: 5q sin q p = 4 q* - 3 dp = dq

A: it is very basic problem of diffrentiation.

Q: 1. Use the Product Rule to differentiate y = x³(2x + 1)*.

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Q: If g = 1110°, simplify the expression sin- (sin g). If undefined, enter Ø. Provide your answer below...

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Q: Write a chain rule formula for the following derivative. for u = f(p, q); p = g(x, y, z), q = h(x, y...

A: Given problem:-

Q: Determine the maximum and minimum points of the given functions below. g(x)=x6−2x5+8x4

A: Here we have to find the maximum and minimum points of a given function g(x), we have use first and ...

Q: 1. For function z = f(x, y) where f(x, y) = 4 – x² – 2y², we compute that fa(1,1) = -2 and fy(1,1) =...

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Q: For questions 2-5 please determine the following: a). End behavior of f(x). b). Determine the r-inte...

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Q: Test the series below for convergence using the Root Test. 3n 10n + 4 n=1

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Q: A hotel rents rooms to customers by the night. The hotel determines that if it sets the price of the...

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Q: Test the series below for convergence using the Ratio Test. 97 n! n=1 The limit of the ratio test si...

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Q: 2. Determine the x-coordinate of the points where the tangent to the curve y = (x – 2)²(x + 3) is ho...

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Q: For f(x)= (2x – 3)°, find the equation of the tangent line at x = 0 and x = 2. The tangent line at x...

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Q: The temperatures T (in °F) at which water boils at selected pressures p (in pounds per square inch) ...

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Q: Determine whether the series converges, and if so find its sum. 4k+2 Σ 7k-1 k=1 1) This series can b...

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Q: Find the derivative of the function. 3x-4 %3D 2. X+6x y' = ]

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Q: 2 In x+1 3. S dx x In?x+x In x

A: The given integral is; (2lnx +1)/(xln2x+xlnx). Repost the next question.

Q: As broadband Internet grows more popular, video services such as YouTube will continue to expand. Th...

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Q: Find the intervals in which f (x) = x3 - 3 x + 1 is increasing or decreasing

A: Find the intervals in which f (x) = x3 - 3 x + 1 is increasing or decreasing.  

Q: The indicated function y, (x) is a solution of the given differential equation. Use reduction of ord...

A: NOTE: Refresh your page if you can't see any equations. . compare this equation with  so here we ...

Q: Find dx | cos (P) dt y = dx I3D

A: NOTE: Refresh your page if you can't see any equations. . use the integration rule 

Q: y = 6x² – 4x, - dy Find dt dx = 7,x = -2 dt

A: As per our guidelines we are supposed to answer only one question. Kindly re-post other question as ...

Q: 1. g(t) = (4 – t²)ś first derivative %3D critical numbers stationary points (relative extrema) secon...

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Q: Consider the polar equation r = 16 cos(0) – 12 sin(0). (a) Convert the given polar equation to a Car...

A: The given polar equation is: r=16cos(θ)-12sinθ...(1)

Q: met unction. y = 6 sin(3mx) Need Help? Read It

A: Given; y=6Sin(3πx).

Q: Question 14 of 15, Step1 6f The variable a varies directly as the cube of b. If a = 9 when b = 17, w...

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Q: Use the Chain Rule to find the indicated partial derivatives. R = ln(u2 + v2 + w2), u = x + 7y,   ...

A: Given that R=lnu2+v2+w2u=x+7y , v=4x-y, w=4xyTo find :∂R∂x,∂R∂yR=lnx+7y 2+4x-y2+4xy2∂R∂x=1x+7y 2+4x-...

Q: The percentage of alcohol in a person's bloodstream t hr after drinking 8 fluid oz of whiskey is giv...

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Q: dw at t = 4 for the function w(x, y) = e y - In x; x = t 2, y = Int. Evaluate dt O 1 2

A: Given that       w(x,y) = ey - ln x         x = t2 ,  y = ln t 

Q: dy and then dx Use implicit differentiation to find 2 dx 4 5 X +y =99 dy (Type an exact answer.) %D ...

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Q: 5) Evaluate the integral.cusc c for the constan6 of integrafion) 2(ean cx) +6an cx>) dx

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Q: Given the graph of f, sketch a graph for: a. – f(- x) + 3 b. 4f(4x) 5+ f(x) 5. -5 -5+

A: Graph