Use l'Hôpital's Rule to evaluate lim t→0 lim t-0 5 sin (416) - 4t = 5 sin (416) - 4t (Type an exact answer.)

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A: Take the derivative of x and y with respect to theta then take the ratio to get the velocity.

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A: Given: gx,y=x2+y2, p7,24, v=3i-4j   As we know the expression for the directional derivative of the…

Q: For the function ​f(x)=2e^−x^3​, find f′′(x). Then find f′′​(0​) and f′′​(1​).

A: To find f''(x)

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Q: At what points is the following function continuous? 6x tan x x² + 3 y= Choose the correct answer…

A: Given function:- y=6xtanxx2+3

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A: Use the formula for the cross product of two vectors.

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Q: (15) 5.00 _d²_ dx x²+ 100 = 5.00 _d² + dx - 2 X +100 = lim 848 = lim 848 b = lim Sa dx + lim so dx…

A: Find the solution

Q: True or false: If f is a differentiable function, then True False de [f(x³²)] = f'(3x²) dx

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Q: Find the volume cut from the sphere p = 4 by the cone = 1.

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Q: Consider the following. y = -x³ + 4, -x² + 4x, X ≤0 X>0 Find the critical numbers. (Hint: Check for…

A: Given: y = -x3+4,      x≤0-x2+4x,    x>0 To find the critical number.

Q: does not exist, enter DNE.) f(t) = t3 − 9t2 + 24t   e) Draw a diagram to illustrate the motion of…

A: Note : according to our guidelines i can solve only first 3 subparts of the given question, please…

Q: A beverage company manufactures 2-liter pineapple juice to be packaged in cylindrical cans made of…

A: Given :The surface area of this cylinder = 2πrr+hV=πr2h

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A: Given query is to find indicated derivative.

Q: Use the ㅎㅎ

A: Given differential equation dydx=15yx+cosyx15

Q: 4. √e³x - e²x dx = 3 A. ² (ex - 1)² + C < B 3 B. (e³x - e²x) + C 2|32|3 C. 2/3 3ex - 1 √2 3 D. ²/7…

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Q: log 457,129 is between log 457,129 A and

A: As per our guidelines, we only solve one question and rest of the question will be reposted. Formula…

Q: Adidas is preparing to release a new line of soccer cleats. They expect the number of daily sales…

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Q: Sketch the region of integration and change the order of integration. *3 /In(x) [³ /0 f(x, y) dy dx…

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Q: Find the limit. lim (2 sin x - 1) x→0 lim (2 sin x-1)= (Type an integer | (Type an X-0 integer or a…

A: Given query is to find indicated limit.

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Q: K The function A(x) = 0.004x3 -0.05x² +0.16x+0.02 approximates the blood alcohol concentration in a…

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Q: Derive the volume formula of the cone by integration. In doing so, (a) find the equation of the line…

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Q: 2. xy=-x³y-csc (xy)

A: Given differential equation:- x4y'=-x3y-cscxy

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Q: Sketch the region of integration and evaluate by changing to polar coordinates: 10 f(x) L L For…

A: To find:- ∫510∫0fx1x2+y2dydx fx=10x-x2

Q: y y Wall y y

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Q: Use row reduction to find the inverse of the given matrix if it exists, and check your answer by…

A: Given matrix: 31186 Let’s call the matrix A A= 31186

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A: To Find : Inverse of the given matrix by using technology.…

Q: Find the gradient of the function at the given point. Function Point f(x, y) (4, 5) Vf(4, 5) = x +…

A: Given function:- fx,y=x+5yy+1

Q: (d) Use the given information to write an equation that relates the variables x and y. (e) Use part…

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Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

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Q: PTT/5 sin¹ (5x) dx =

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Q: Find a plane containing the point (1,4,3) and the line of of the planes 7x + 5y - 8z = 27 and 5x +…

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Q: Differentiate the function. g'(t) = g(t) = In t(t² + 1)4 8t 1

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Q: 19. f(x) = sin²: x cos 2x, 0<x<T

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Q: Identify the asymptotes. Give your answers in exact form. Do not round. -2x² + 4x-5 x+7 f(x) =…

A: First divide the numerator by denominator then rewrite the given equation again.

Q: Compute the discriminant D(x, y) of the function. f(x, y) = x³ + y4 - 6x-2y2² +4 (Express numbers in…

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Q: Consider the following power series. Let a = lim LIM R 11 (-1)*(x-8)* ku 11k (-1)* 11k (x-8)*. Find…

A: Solution will be given below

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Q: Population Movement In 2008 the population of a country, broken down by regions, was 54.6 million in…

A: Let the 2008 population figures be represented by 1×4 matrix AA=54.665.6112.670.5   Let the…

Q: Real Estate The following table shows the cost of 1,000 square feet of luxury real estate in three…

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Q: Use the inverse of the 2x2 matrix 1  a 0  1 to compute the inverse of the 3x3 matrix 1  a  0  0  1…

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Q: Find dv/dx by implicit differentiation, given that -x^2/v^2-cos(3v)=-8

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Q: Find u and v if u+3v = 3i − k and 6u − v = i +j+ k.

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