Find the horizontal and vertical asymptotic for f(x)= x^3 / (4-x^2)

Q: Find the second derivative of F(t) = (1 − 2t²)i + (tcost)j – tk. O-1-(2sin(t) + tcos(t)) - (2sin(t)…

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Q: If sin = O a) 1/ Ob) _42 4√2 Oc) 4√2 Od) - O e) _4V/2 9 - 4√2 and is in quadrant IV, find sin (20).…

A: sinθ = -1/3  and θ is in 4th quadrant it means cosθ also negrative    sin2θ = 2sinθ*cosθ    sin2θ=…

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Q: To find the distance across a small lake, a surveyor has taken the measurements shown. Find the…

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Q: 1. (a) Suppose u = 3î+2j-1k and v= 0î+ 55+7k. Simplify the single expression: (u.v) (ux v) (b) Write…

A: We have to solve one question Please repost other questions again

Q: nd all the critical points of the function f(x)= ={ x² 23 if x<1 if x ≥ 1

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Q: Find a general solution to the differential equation. 1/4y"+4y=3tan4t-1/3e^3..........the general…

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Q: (a) Find the equation of the tangent line to the curve y = x² at x = 1. (b) The line in part (a) is…

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Q: 5. Determine where the local and absolute maxima and minima occur on the graph given.Assume the…

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Q: 18 Find p. q if f f(x) dx + ³ f(x) dx = f f(x) dx. (Give your answers as whole or exact numbers.)

A: A detailed solution is given below.

Q: Calculate the integral, assuming that fo f(x) dx = 14 and fo g(x) dx = 9. (Give your answer as a…

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Q: Find the general solution of the differential equation. y(4) +12y" + 36y = 0. NOTE: Use C₁, C2, C3,…

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Q: Find the equation of the tangent line to the curve y = 6x cos x at the point (7, The equation of…

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Q: Express the number 8√3-6i in the form R(cos(0) + i sin(0)) = Re, where R> 0 and -≤ ≤T. NOTE: Round…

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Q: Find the absolute maximum and absolute minimum values of the function f(x)= |x-1|+|x+3| on the…

A: The given function is fx=x-1+x+3 on the interval -5≤x≤5

Q: Using the trigonometric substitution x = 6 cos 0, 0 < 0 < π, the integral √36-x² x² In cos 0 + C O…

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Q: Find the indicated limit by using the limits [f(x, y) = g(x, y)] lim (x,y) → (a, b) Enter an exact…

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Q: Find f'(x). f(x) = O O O 6x - sin² (5x) f'(x) = O f'(x) = f'(x) = f'(x) = = 6-10sin(5x)cos(5x) 2√6x…

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Q: Find the solution of the following initial value problem. y(0) = 8, y'(0) = -55 : y" + 15y' + 50y =…

A: Given :y''+15y'+50y=0y(0)=8y'(0)=-55

Q: The linear density in a rod 8 meters long is 13/√x+1 kg/m, where x is measured in meters from one…

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Q: k. y = 3x5 (5x+4)3

A: Use quotient rule to find the derivative.

Q: sin(2t). Find Əz Ət if z = √r² + s², r = cos(2t) and s =

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Q: 0.5 0.5 sinxy dx dy, using the Ax = Ay = 0.25 0 1+xy H.w2: evaluate f

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Q: If the line r = (2-t, -2 + 13t, 8t) is the normal tangent line to the level surface axyz²by² = -14…

A: answer is in next step . please give a like !!

Q: The circumference of a sphere was measured to be 70 cm with approximation to estimate the maximum…

A: topic:- calculus

Q: The function f(x, y) = 2x³ - 6x + 6xy² has: Select one: O One minimum One maxima and one saddle…

A: The given function fx,y=2x3-6x+6xy2

Q: 5.5 Find the volume of the solid bounded above by the graph of f(x, y) = xy sin(x²y) and below by…

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Q: (1) Which is the correct formula for finding the derivative of the product of two functions?…

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Q: Find the constant a such that the function is continuous on the entire real line. 1 = √7x², lax - 5,…

A: Topic = Function

Q: Consider the following. u = (0, −2, −5), v = (−9, 2, −4) (a) Find the projection of u onto v.…

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Q: Use the Ratio Test to determine if the series converges. 2k Σ k=1 k 149

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Q: Solve the length of the unknown side. Round each answer to the nearest tenth. 22 in 29 4

A: The given triangle has measures 22, 29 and 45°

Q: A plane flew due east from a latitude 53°N,25°E to another point B latitude 83°N,85°E at an average…

A: We have to find the distance, time and latitude.

Q: Evaluate the definite integral (a) ľ² _l+ x +24 dx, (b) [¹² (x² + 3) (2x + 1)dx, (c) [¹ x²e²¹dx -1…

A: ∫-11 xdx1+x2+x4

Q: Current Attempt in Progress Find values of x, if any, at which the given function is not continuous.…

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Q: ! x (x3-2x²+x)(x²+1)* Let f(x) are any constants, which of the following decompositions into partial…

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Q: Express the complex number -2i in the form R(cos(0) + i sin (0)) = Re where R> 0 and 0 ≤ 0 ≤ 2T.…

A: Express the complex number

Q: The graph of the rational function f(z) is shown below. Using the graph, determine which of the…

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Q: Find dy/dθ by logarithmic differentiation.…

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Q: Suppose that a 4 x 4 matrix A has eigenvalues A₁ = 1, A₂=-5, A3 = 7, and A4 = -7. Use the following…

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: Consider the function f(x) = 2x³ - 6x² – 90x + 6 on the interval [ – 5, 9]. Find the average or mean…

A: Mean value theorem

Q: Question I The volume of the solid generated by revolving the region bounded by x² = 4y and y² = 4x…

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

A: Topic = Vector

Q: n n2 + 1 Σ;

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Q: a) Find the local maximum and minimum value(s) (if it exists) of the function f(x, y) = 4x + 6y - x²…

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Q: Question 1 of 20 o f(x) O View Policies Current Attempt in Progress Find a formula for a rational…

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Q: Consider the graph and determine the open intervals on which the function is increasing and on which…

A: From the given graph, we have to find the increasing and decreasing intervals.

Q: Write the sum without sigma notation. Then evaluate the sum. 2 Σ k=1 40k k+3

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