Convert the polar point (-3,3π/2) to rectangular coordinates.

Q: 5. The function f(x) is a continuous, decreasing function on [0,10] with a critical point at (4,2).…

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Q: 36 identical tasks are distributed to 9 different people. Each task is assigned to exactly one…

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Q: Use the method of undetermined coefficients to solve the given nonhomogeneous system. dx dt dy dt…

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Q: For the sequence defined by: a1 = 1 an+1 TODA Find: a₂ a3 a4 ||

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Q: Which shows the angle 135° in standard position? O A. O B. 0 с. Ї Which shows the angle an in…

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Q: Consider the function: f(x)=x2−32x⎯⎯√−6f(x)=x2−32x−6 Step 2 of 2 :   Use the Second Derivative…

A: The given function fx=x2-32x-6. We have to find its local maxima and local minima.

Q: I- Complete the following table: Log Form log(12x + 7) = 3 II- Solve the following equations: a)…

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Q: The United States population (in millions) is predicted to be  P(t) = 317e0.01t,  where t is the…

A: NOTE: Refresh your page if you can't see any equations. . the given equation is where P=population…

Q: Question 5. Consider the parametric equation x = 27 cos³0 and y = 27 sin³ 0. (a) Find the Cartesian…

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Q: Use implicit differentiation to find dy/dx. 14) xy + x = 2

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Q: Give the equation of the tangent line to the graph of the function y = x - ln(2x) when = Give your…

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Q: A company manufactures mountain bikes. The research department produced the marginal cost function X…

A: NOTE: Refresh your page if you can't see any equations. . the marginal cost function is given by…

Q: 3x + 9 52+2 Consider the function f(x) this function there are two important intervals: (-∞, A) and…

A: Given query is to find the value of A

Q: Suppose you are driving away from Morgantown. At noon, you are 75 miles away from Morgantown. From…

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Q: (a) 2 P₁² (20- 1 (x-1)e(x-1)² dx

A: We have to solve this definite integral  Which can be solve by using substitution method.

Q: An oil-producing country can sell 7 million barrels of oil a day at a price of $90 per barrel. If…

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Q: Question 2. Find the volume of the solid obtained by rotating the region bounded by 9x² + 4y² = 36…

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Q: Let g(x, y) = 3.³ -6.x²-5.y2 +1. a. Əg ar Show/hide

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Q: Use variation of parameters to solve the given nonhomogeneous system. dx dt dy dt (x(t), y(t)) = 2x…

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Q: If f(x) = sin(x³), find f'(x) Find f'(5)

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Q: A spherical snowball is melting in such a way that its radius is decreasing at rate of 0.1 cm/min.…

A: Given query is to find rate of change of volume.

Q: Let f(x) = 8x 3 - 3 = if x 6 1-7x + b if If f(x) is a function which is continuous everywhere, then…

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Q: Consider the function f(x) = 6√√x + 1 on the interval [2, 9]. Find the average or mean slope of the…

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Q: Given vectors u (-1,-3) and v = = (-9, 2), find u - v. Provide your answer below:

A: As we know from the definition of the dot product of the two vectors. If the given vectors are a=a1,…

Q: Find the angle , in radians, in the given right triangle. The length of the side adjacent to is 19…

A: To find the value of the angle θ

Q: Evaluate the limit using L'Hôpital's rule 7x³ e10x lim x →∞

A: Given query is to find the limit.

Q: when 36 = 5a 120 = loa 434 = lo b + 3o c + 3ob + 100 c loob +354C + 30a + ving equations by the…

A: Topic:- application of algebra

Q: Evaluate the definite integral 7 S₂ (8x + 2)dx

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Q: Find all the intersection points of polar equations r= √2 + sin(theta) and r= 3sin(theta)

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Q: Find the equation on the ellipse that has its center at the origin and satisfies the conditions:…

A: We have to find the equation on the ellipse that has its center at the origin and satisfies the…

Q: 5 4 3 2 1 -1 -2 -3 -4 + + Find lim = tan x is The graph of the function f(x) given above for the…

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Q: x - dx x² +1

A: We are required to find∫xx2+1dx

Q: Let be an acute angle. 21 a) Given: sine 295 b) Given: cose = √√5 c) Given: sine =- 3' √√3 9 2…

A: To find other trignometric values.

Q: (19) Find the solution of the separable equations a) the general solution: b) the unique solution…

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Q: 11. Find the arc length of the polar curve r = 5 cos 0; 0≤0 ≤ 2.

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Q: (14) y = Tan¹ (3); dy =? ax A) 15) 4+x² E) y= B) - 2√4-X² x²+4 Sec²(X); dy = ? Jx Tanx √4x² D) +…

A: To solve the problem we use derivatives properties and trigonometric properties.

Q: Do the following. (a) Determine the linearization of f(x) = ln x about the number e. (b) Using your…

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Q: average rate of change of f(x)=4x^2-7 between the pair of points (x,f(x) and (x+h,(f(x+h))

A: Given query is to find average rate of change.

Q: Consider the given differntial equation y'(t)= (y-2)(3+y) Find the soultions that are constant for…

A: Given: y'(t)= (y-2)(3+y)

Q: 14 Approximate [ (x² - 4) dx using 4 rectangles. 2 It is approximatley (If necessary, round to two…

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Q: 6. Convert from Rectangular to Polar Coordinates: (x,y) → (r,0). (-3,-4)

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Q: Find the most general antiderivative. 23) (6x3+3x+5) dx

A: 23) The given integration is: ∫6x3+3x+5dx  To find the most general antiderivative.

Q: Find the function f(x) with the following properties. f'(x) = 3x², f(4) = 3.

A: Givenf'(x)=3x2,f(4)=3   We are required to find the function f(x)

Q: Find the equation on the parabola that has it vertex at the origin and satisfies the conditions:…

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Q: Let f(x) = k ln(x² + 3) + 5, where k < 0. Do the following. (a) Find the critical numbers of ƒ, and…

A: Given information: fx=klnx2+3 + 5, where k&lt;0 ------------------ Aim:…

Q: Evaluate the integral. [² v³ + 3v³ dv 3V6 V4

A: Evaluate the integral  ∫12v3+3v6v4dv

Q: A 20 ft ladder leans against a wall. The bottom of the ladder is 5 ft from the wall at time t = 0…

A: NOTE: Refresh your page if you can't see any equations. .

Q: If the function f(x) has the graph pictured below, then: a) f(x) 0, whenever 5 f(5) e) f(6) > f(8)

A: Given: Graph of function f(x) -

Q: Evaluate. (Be s (In x 20 X (In x)20 dx X (Type an exac=

A: NOTE: Refresh your page if you can't see any equations. . ...............(1) substitute…

Q: A bowl of soup at 80° C sits in a 20° C room and cools to 74° C after 1 minute. Using the model for…

A: T( t ) = ( T0 - Ts)ekt + Tswhere T0 = initial temperature Ts = surrounding temperature T( t ) =…