Find the horizontal asymptote of f(x) = y = 5x + 2x³ +3 5x³x2-4

Q: (A) = and (B) = . Find 2A - BO* none of the above

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Q: Find the curvature and the radius of curvature at the point t = 0. x = et cos(t), y = et sin(t), z =…

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Q: ♫♫¹⁄² sin (*) cos (*) sin (²) dx (Consider initially the first 2 terms)

A: Solving the definite integral.

Q: Find the limit. NOTE: Enter the answer using round brackets. t² + 4 1 lim t+oo 5t² + 6'8t = (?, ?)

A: Solved below.

Q: Given the function f(x) = -6 x -9 Evaluate f(8) = Find a when f(x) = 3 I

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Q: Solve the differential equation: * (D² - 3D + 2)y= 2e-x + 8

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Q: Consider using the method of partial fractions to solve dx x²+x+1 2x²+2+x³+x - dx = [Aƒ (x) − B…

A: Given problem:-

Q: Find the equation (in terms of 2) of the line through the points (-5,-4) and (2,3) y =

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Q: dx √x²=2x-4 is solved by trigonometric substitution, which of the following substitutions is used?…

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Q: The radius of a circle increases at a rate of 2 m/s. Find the rate at which the area of the circle…

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Q: Determine the number and type of solutions for the equation - 3x² + 14z 15 0 =

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Q: Exercise 5 Find the center of mass of the uniformly dense upper half disk x² + y² ≤ R², y ≥0. Your…

A: Solved below

Q: 32 96 0 48 If f cos 2t dt = At - B sin 2t cos 2t + D sin 4t cos 4t + C where A, B, C and D are…

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Q: ²1dx = f ( + g(x)) dx, then A + √² g(x) dx is equal to 12. -1 + In(5/2) 1 -1 -1 + In(7) A. B. C. D.

A: The given integral,  ∫x2-1x3+xdx

Q: Compute the area bounded by the curve y=3x² and the lines y=0 and x = 3,

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: a's father is planning to open a savings account to pay for Amelia's college education. He has found…

A: Given query is to find the value of deposited amount.

Q: Question 3 Given: (1 + 2x) e-x dx. Using integration by parts and letting u = -1- 2x, dv = f(x)dx,…

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Q: Find f'(1) given that f(x) ax+b cx+d' where a, b, c, d are constant.

A: we have to find derivative.

Q: 3. Determine the equation of the tangent plane and normal line to 2xz + y²z³ = x + 5 at (1,0,3)

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Q: Circles, arc length, and Area of sector. (a) Draw a circle with radius r (b) Convert angle 0 to…

A: Given :   Radius : 4 inches Angle =135°

Q: Find Do not simplify your answers. dy da 1. log;(√2x² + y) + tan(x² − 7") = sin¯'¹(x² − 1) + ½

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Q: At a time t hours after taking a tablet, the rate at which a drug is being eliminated is r(t) =…

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Q: Find the integral of ∫(sin2x - cos2x)2dx. Use trigonometric transformation or integration by parts.

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Q: Use the formula k(t) k(t) = = ||r'(t) × r"(t)|| ||r' (t)||³ = 10t: r(t) = e¹⁰ti + e-tj to find k(t).

A: This question is related to vectors, we will solve it using given information.

Q: Explain why you think the sequence converges to a finite number or (n+1)! diverges. If the sequence…

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Q: [sin³ (2) cos(4) dx

A: Follow the procedure given below.

Q: rπ/4 x² dx (x²+4)5/2 (Use trigonometric substitution)

A: To evaluate the given definite integral.

Q: The region R enclosed by the curves y=x and y=x^2 is rotated about the line y=2. Find the volume of…

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Q: 0, y = 0 x ≥ 1 In Exercises 49-52, determine whether the given point is in the feasible set of this…

A: Inequality

Q: Exponential function Copy the table onto your paper, and fill in the y-values for y = 3*. X y 0 1…

A: Since, you have posted multiple questions. As per guidelines, we"ll solve only first question. If…

Q: Integration by Parts 4. fxe4x dx 5. [ e* cosx dx

A: This question can be solved using the concept of integration by parts.

Q: 3. Using trigonometric substitution, what is 1 sec-²¹ ( 137 ) + √x²-9 2x² + C A. 1 300² (2) √²-90…

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Q: Find y dx' 1. y (32x)³(x² - 2)

A: Here is the solution

Q: sin³ (cos(4) dx 2 32 Ⓒcos A COS 35 32 B 35 32 Ⓒ-3 cos (4) C 32 D 3/7/7 C (4)[-5cos (4)+7] 5³ (4)…

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Q: Given : x³ sin(2x) dx = 277²-24 Find bif sb . 64 2π 3 5π 6 F|+ =|m 3 3π 4 sbst

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Q: Using integration by parts, Then k is? (a) - 1.5136 ²x³ cos x³ cos(x²) dx = k - [*x sin(x²) dx 0…

A: Solve it

Q: If t is in years, and t = 0 is January 1, 2005, worldwide energy consumption, r, in quadrillion…

A: We need to solve integral porblem.

Q: Question 8 3 (2x+4)³-8 } is

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Q: Question 2 Consider using the method of partial fractions to solve rb dx = Sa 2x²+2+x³+x² dx = [Aƒ…

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Q: Test for convergence: Summation from n = 2 to infinity of (n + 3) / (2n^3 - 6)

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Q: 5. Given: G(x, y) = 4y¹ sin(2x³) Gyxy(x,y). What other 3rd order partials are equivalent to Gyxy(x,…

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Q: Exatuate the integral QUS √3x xام واح

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Q: * Evaluate. [12 [20x cos(5x² - 1)]dx

A: The given integral is   ∫20xcos5x2-1 dx We solve the integral using proper substitution .

Q: Consider the function f(x) = x² x7 +4 Use the Intermediate Value Theorem, if applicable, to…

A: Using the intermediate value theorem.

Q: Question 9 Using trigonometric substitution to solve: cos x dx f 3 (4-sin²x)2

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Q: 2. Solve the following using the inverse matrix method: 6x - y = 0 2x - 4y = 1

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Q: Find the radius of convergence, R, of the series. Σ (x - 7)" 07 n=1 R = Find the interval, I, of…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: A bacteria population doubles every three hours. The initial population is 700. (a) Write a function…

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Q: Use the formula k(t) k(t) = = ||r' (t) x r"(t)|| ||r' (t) ||³ = 10t. r(t) = e¹0ti + e-tj to find…

A: We have to find k(t)

Q: Given the function f(n) = 3n¹ +33n³ +90n²: its f-intercept is its n-intercepts are

A: We can find the intercepts as below in the following steps.