L’Hopital

Q: Q20) Two boats leave the same port at the same time, with boat A traveling north at 15 knots…

A: Let's find distance changing between two boat.

Q: 31 Suppose h(x)=¹-42³. Which one of the following is true? Select one alternative: O The first…

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Q: Find the area between the y-axis and the graph X = 127 124 y² 2 1 -3 -2 -1 2 о T 4 3 0 -1 -2 1 on…

A: We are asked to find the area of the shaded region.

Q: a. ²₁ (5x¹-2x³) dx

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Q: Which of the following is TRUE for all? All functions are continuous at all points in its domain.…

A: Given :   Continous and differentiable functions

Q: Find the second order partial derivatives, a'z for the following equation дхду z = x cos y - y cos x

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Q: For the function y = (x - 2) lnx, what are the two x intercepts, and between the two intercepts, is…

A: The given function is y=x-2lnx. For x intercepts we take y=0 and then we solve for x. If y''(x)>0…

Q: Solve the I.V.P using [x = zry]. y di dx + (y cos ( 1 ) - x) dy = 0, y (0) = 262

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Q: Find the integral. [col³ (x) csc ³¹ (x) dx (Use symbolic notation and fractions where needed. Use C…

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Q: A balloon which maintains the shape of a sphere is being inflated. The rate of change of its volume…

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Q: A solid has a base in the form of an ellipse with major axis 10 and minor axis 8. Find its volume if…

A: Given that, A solid has a base in the form of an ellipse with major axis 10 and minor axis.

Q: Use the Integral Test to determine whether the series is convergent or divergent. nhe-n n = 1…

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Q: Solve the given differential equation by separation of variables. y In x dx x dx = (x + 1)² 12/2+2 =…

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Q: 2. According to Hooke's Law, the force required to stretch a helical spring is proportional to the…

A: According to Hooke's law, F is proportional to x. where F is the force and x is the distance.…

Q: 4. Three collinear vectors, a, b, and c, are such that à = 2²/b b and à = 1/2c. (a) Determine…

A: The objective of the question is determine the knowns.

Q: find the higher partial derivative of the following

A: Solve the following

Q: PREGUNTA 12 For the table shown, calculate units per hour: Total Normal Minutes 39.981 Allowance…

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Q: lim cos x x-0 , which among the following should result, in equivalent form, before L'Hopital's Rule…

A: To evaluate: limx→0 cosxx Let y= limx→0 cosxx ⇒y= limx→0 cosx1x

Q: PROBLEM: Integral of sin²x cos²x dx is equal to A. X+C B. cos2x/16-x/8+C C. x/8-(sin 4x)/32+C D.…

A: We need to find integral.

Q: Find the area of the region bounded above by y = x2 + 8 and below by y = 4. 10- 4 2 X -10 8 6 4/-2…

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Q: Using the graph of the exponential function below, what is the limx→12 (3x)? 8 0 2 6

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Q: (1) IF: ā=21-j+ k, b=i+2j- 3k, č=-3i+2j+ k Find : a.b, ã.č, č.ã‚ (a+b).(a−b),(ã+ê).(ā-č) (a +2b-3c).…

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Q: Evaluate the given limit. Show your complete solution. limx→∞ [e5z + x²]

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Q: 4.z=(y'-2) 3/4-2y ;z= dz dy

A: See the details solution in below

Q: Given w = y² arctan(xyz) + 2x ln(xz). Determine dw მყა dro = y² + 2 arctan(xyz) + 2x ln(xz) dy du…

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Q: The temperature of a room in degree Celsius is modeled by a differentiable function T(x) where x is…

A: We need to choose correct option.

Q: 16 Estimate lim is approaching to using a table of functional values.

A: We  find the table for the function f(x) near about the point x=4 then trying find out the limit…

Q: The domain for the function ex y = x ln(3 - x) is {x/x 3} O

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Q: Find an explicit solution of the given initial-value problem. (1 + x4) dy + x(1 + 4y2) dx = 0, y(1)…

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Q: Given: f(x, y) = ln[1 + x siny] Find: 8² f(x,y) 8x² 2 sin y (1+xsin y)² ○ _ __ sin² y (1+zsin y)²…

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Q: Find a value of n such that y= x" e satisfies the equation xy' = (x-6)- y. (Use symbolic notation…

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Q: Identify the intervals where the acceleration is neither positive nor negative. Consider only the…

A: answer is in next step.

Q: Find the angle between two vectors: A=31+4j-5k, (1) Scalar product. (2) vector product. B = 3i+4j+5k…

A: To find the angle between two vectors: A→=3i^+4j^-5k^, B→=3i^+4j^+5k^ by using: 1 Scalar product2…

Q: Calculus I

A: Differentiate and put the respective values.

Q: dy If x³+y³ = 1, what is -? dx² D OC O 22(23 ys 2x(2 − y) y³ 2x y5

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Q: Given w = xex + ln(x²yz3) Determine дш дх O дш дх δω дх ди дх дш дх = ex(1 - x) + = xẻ +1+ 11 N|X 2…

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Q: 6. DETAILS ZILLDIFFEQMODAP11 1.2.009. MY NOTES ASK YOUR TEACHER In this problem, x = C₁ cost + c₂…

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Q: Find a number in [0,1] such that the difference of 1/3 the number from its cube is minimized.…

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Q: Find the general solution for the following Deferential Equations using Undetermined Coefficients…

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Q: What is the derivative of y = √/x? 1x² X 2 2 1 X X 2 23

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Q: b- 2π -50 1 (1+tan²0)3 do

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Q: Solve the following. 1. Find the volume generated by revolving the first-quadrant area bounded by…

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Q: A particle moves back and forth along a straight line. Its position (in meters), relative to the…

A: Find out the total distance travelled during the first 10 seconds.

Q: For the following exercises, draw a typical slice and find the volume using the slicing method for…

A: Follow the procedure given below.

Q: d- d³y dx3 d²y +6 dx² - Q.2-Solve the differential equation 15 - 100y = 0 dy dx

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Q: How many asymptotes (both vertical and horizontal) does the following function have: sin(x) -?…

A: To determine the number of asymptotes for the given function.

Q: Identify ALL the Indeterminate forms involved and determine the limit of: limo+ (cos(x))"

A: See the answer below

Q: Which of the following is equivalent to log₂ (2x²) - log₂ (¹) - log₁(x¹)? Select one alternative: O…

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Q: Find u · (v ✕ w).

A: Here we have to find the given vector operation

Q: Let f denote a piece-wise defined function whose graph on the closed interval [-3,3] is shown below:…

A: f denotes piece wise function .  Identify the interval where function is concave down