dz 4-1² Siv Ans. T

Q: A helicopter starting on the ground is rising directly into the air at a rate of 21 feet per second.…

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Q: Let 2 sinx+7cos y = 6. dr

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Q: X y' - m₂y = C₁ e¹₁x, c₁,m,, m² are constants, 1 m ₁ m₂ I

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Q: Find the second derivative of the vector-valued function r(t) = (7t + 5 sin(t))i + (4t + 5 cos(t))j…

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Q: A farmer walks down a circular ladder from the top of a silo. With x, y, z in feet and the origin at…

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Q: Find fx and fy, and evaluate each at the given point. arctan(ỵ), (2,-2) f(x, y) fx(x, y) = fy(x, y)…

A: Given:        fx,y=arctanyx , 2,-2     fxx,y=∂∂xarctanyx                   =1yx2+1∂∂xyx taking y as…

Q: Find the position vector for a particle with acceleration, initial velocity, and initial position…

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Q: 1 √₁2²-4 d x² - 4

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Q: 4. How far from y-axis is the center of the circle 2x² + 2y² + 10x - 6y - 55 = 0? 5. How far from…

A: Given the equation of a circle, 2x2+2y2+10x-6y-55=0

Q: = Find a and b so that f(x) is continuous if f (x) = O O a = ¹/2 b 11 a = EE O a= b = 60 7 a = - 96…

A: A function if said to be continuous if its graph has no break on its domain of definition.

Q: The sum of four times a number and 1 more than the number is the same as the difference between −27…

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Q: the lcm of 21 and 54

A: To find out the LCM of the given numbers.

Q: Find the derivative of the function at Po in the direction of f(x,y,z) = xy + yz + zx, Po(3,-3,1),…

A: Topic:- application of derivatives

Q: Let r(t) = ( −2+²+2, −3e¹, − 3 sin(2t)). Find fr(t)dt (don't include the +C) fr(t)dt = ([ ])+C

A: Topic = Integration

Q: A function and its graph are given. Find the domain. f(x)=-1-√√9-x² 54

A: Ye

Q: In(a) = 2, ln(b) = 3, and ln(c) = 5, evaluate the following: (a) In () = (b) In √b¹c²a-2 =

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Q: please

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Q: Find the indefinite integral. (Use C for the constant of integration 2 cosh(√x) X dx

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Q: Consider the space curve r(t) = (3 sin(- 4t), cos(-4t), 2√2 cos(-4t)). a. Find the arc length…

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Q: The reproduction function for a whale is estimated to be f(p) = -0.0005p² +1.02p, where p…

A: Given,          The reproduction function for a whale is estimated to be                     f(p) =…

Q: Find the values of the following limit. If a limit does not exist, type DNE in the entry box. x-3…

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Q: Exercise 1. Let an 2n 3n+ 1 (a) Determine whether (an) is convergent. (b) Determine whether an is…

A: Part (a) A sequence an is said to be convergent if limn→∞an exists and is finite. Determine limn→∞an…

Q: 5 Given sine. and 13 5 0 ₁ + (-1/3) ² - O 5 13 12 13 12 5 ◎[-] 1+ 13 13 12 13 cose= 5 °(9)²+(3)³²-…

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Q: C b 50° 28

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Q: In each of Exercises 1-14, D(x) is the price, in dollars per unit, that consumers are willing to pay…

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Q: You have the innial value problem below, solve it analyitcaly write you answer as a symbolic…

A: need to find out the solution.

Q: is the relation defined by the table a function of x

A: If each input value leads to only one output value, classify the relationship as a function. If any…

Q: What is the distance between the point (5,1) and the line with slope 2 and y intercept -2? 13√7 7…

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Q: What are the solutions to sine -- {픔쯤} 아픔 2 4 3 3 5개 66 {} 6 ,where 0 ≤ 0 ≤ 2πT?

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Q: c. ( - 1 - 2 - 2 ) : ( - 1 - ₁ ) × (1 - 1) = C. 5 3 16 2

A: Concept: A situation is represented using mathematical symbols, variables, and arithmetic operations…

Q: K Find the linearization L(x,y,z) of the function f(x,y,z)=√2+²+2 at the points (2,0,0), (5,6,0),…

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Q: Provide the complete sign analysis using a table to clearly indicate the behavior of the function…

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Q: can you please write out the final answer as its supposed to go in the answer box because I cannot…

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Q: For the right triangle below, find the measure of the angle. Round your answer to 1 decimal place.…

A: Given data÷ The opposite side and adjacent side of the angle are Opposite side(OS)=10 Adjacent…

Q: A particle moves along the x-axis so that its position at time 0 < t < 18 is given by x(t), whose…

A: Given query is to find the interval where speeding up.

Q: co|= 5 Thus fff(x, y)dA = [' [ А 0 drdo

A: To determine the double integral shown below.∬fx, y dA=∫0π3∫15? dr dθAlso, to evaluate the above…

Q: S√8x³ +36x² +54x+27 dx

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Q: The instantaneous rate of change of the value of a certain investment (P) is proportional to its…

A: We have given  dPdt=r P If r= 8 and P(0)= 5000, then Find P(t).

Q: At noon, ship A is 40 nautical miles due west of ship B. Ship A is sailing west at 20 knots and ship…

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Q: The altitude of a triangle is increasing at a rate of 2 centimeters/minute while the area of the…

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Q: Consider the region bounded by the curve y = 4x2 - x3 , the x-axis, and the lines x = 1 and x = 3.…

A: Graph:-

Q: 1 Evaluate lim』→-25 22-4 0-0 ㅇㅇ 이를

A: The expression of the limit is limx→-2+1x2-4 To evaluate: The value of the limit.

Q: Find the limit of the rational function (a) as x→∞o and (b) as x→→∞. 6x³ +9 x³x²+x+3 f(x)=

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Q: The position vector r describes the path of an object moving in space. Find the velocity v(t), speed…

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Q: Evaluate the limit, using L'Hôpital's Rule if necessary. (If you need to use ∞ or -00, enter…

A: We need to evaluate the following limit using L'Hopital's Rule limx→∞ex39-x4 L'Hopital's Rule: If…

Q: 4.7.5

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Q: Find the indicated partial derivatives of f(x, y) = 9x³y² using the limit definition. The limits…

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Q: Find the following for the given equation. (t)-9²,3a( (a) (e)- (b) (1) (c) Find()).

A: Please see the below picture for detailed solution.

Q: A particle moves along the x-axis so that its velocity at time 0 7 or (₂) Submit Answer U ∞ > [₂]…

A: slope of velocity vs time graph represent acceleration  and where  slope is positive indicate that…

Q: Please solve ASAP. Show your complete solution. 1. The length of latus rectum of a hyperbola is 18…

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