y = gx-4 +1n (6561)

Q: Question 2 The functions y₁ = x³ and y 1 ₂=x4 are solutions of x²y" - 6xy' +12y=0 on the interval…

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Q: 8. n(x) = ( ) = (2x + cosx) (-sinx-x²)

A: NOTE: Refresh your page if you can't see any equations. . the given function is  take derivative

Q: List the domain and the range of the provided graph of a square root function. -3 -2 0 3

A: To list the domain and the range of the provided graph of a square root function.

Q: Find the slope of the tangent line to the curve 2x² + 3xy-4y³ = 270 C at the point (-1,-4).

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Q: The domain and range of the square root function below is: Domain: [1, 0o) and Range: (-00,-1]. K о…

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Q: Find f'(x). f(x) = 3x - 5 In x6 f'(x) =

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Q: A plane flying with a constant speed of 4 km/min passes over a ground radar station at an altitude…

A: A plane flying with a constant speed of 4 km/min passes over a ground radar station at an altitude…

Q: Graph the following equation using shifts of a basic function. f(x)= x2 + 2 O O 7 -3 * 31

A: Use basic function

Q: • Use Cylindrical Shells to find the volume of the solid generated when the regio enclosed by the…

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Q: If f is the function whose graph is give

A: here,  we have graph of a function f(x) :-then we have to check which of the following properties f…

Q: nd the maximum and minimum values of the function f(x, y, z) = x²y²z² ubject to the constraint x² +…

A: To find the maximum and minimum values by langrage multiplier

Q: rough 8 is 14. Show that any separable equation ) y' = 0 roblem d. given brem sible M(x) + N(y) y' =…

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Q: Sketch the region D = {(x,y,z): x² + y² ≤4, 0≤z≤ 3}.

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Q: It was discovered that after t years a certain population of wild animals will increase at a rate of…

A: given  p'(t)=48-3t13∫xndx=xn+1n+1+c

Q: x=6667 That's it! To maximize its profits, how many copies should Phonola produce each month? (Round…

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Q: Solve the following differential equations 1) d²y dy +4² +4y=x²²e-2x₂ dx² dx

A: You have asked multiple questions, we will solve the first question for you. The rest one can be…

Q: What is the amplitude of the function f(x) = -8.2 sin (3.8) +6.7? Enter your answer in the box.…

A: Given equation:- fx=-8.2sinx4-3.8+6.7

Q: Graph the following equation using reflection. f(x)=√x O O о 7277

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Q: Evaluate: [3. 3x sec² (³) dr = [

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Q: onsider the following. <-²₁ x=e³t₁ y = 1² w=x-- (a) Find dw/dt by using the appropriate Chain Rule.…

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Q: Write an example of each of the following (assuming it is in 3-dimensional space). A point…

A: let a point on 3D is (x,y,z)(1) on y-axis, x and z is zero

Q: What are the critical points of the function f(x) = x² ln(x)? ○ a. x = 0, x = e−¹/2

A: Here we have to find the critical points.

Q: If 8000 dollars is invested in a bank account at an interest rate of 9 percent per year, Find the…

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Q: Solve for dy/dx if 2^tanx+y Arccsc(πx) = cos^2 (πx^2 - y^2)

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Q: A box is contructed out of two different types of metal. The metal for the top and bottom, which are…

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Q: The slope of the tangent line to the curve y 2 x at the point 5, (5,²/3) ₁ 25 is: The equation of…

A: To find out the equation of the tangent line at the given point.

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

A: Here we find position vector by using acceleration initial velocity and initial position

Q: Find the equation of the line tangent to the graph of f(x) = x² + y = |help (formulas) 5 12 X - 9 at…

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Q: sin²(x²-9) lim x-3 tan(x-3) (5 x - 15)

A: Given;  Limx-3 sin2(x2-9)/[tan(x-3)(5x-15) ].

Q: Suppose that an is an infinite series with partial sum S√ = 8 - 2 N2 10 10 16 What are the values of…

A: As per our guidelines we can answer only 3 subparts of the given question so kindly repost the…

Q: If g(x)= xf(x), where f(2)= 7 and f'(2) = -2, find an equation of the tangent line to the graph of g…

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Q: Find the limit. Enter DNE if the limit does not exist. 8xy lim (x,y) (0,0) x² + y²

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Q: The position function of a particle is given by F(t) = (3t², lt, t² – 1t). At what time is the speed…

A: Given position vector:- ⇒r→t=3t2,1t,t2-1t

Q: For the following exercises, consider a right cone that is leaking water. The dimensions of the…

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Q: Use an integral to calculate the population in the whole town of Squaresburg. Round your answer to…

A: population density = population of the cityarea of the city On moving y distance from the highway…

Q: 27. Given K = x, K = 1.8 x 10-5, b = 1.33 × 10-³, a = 4.18 × 10-¹, calculate x and express the…

A: Use the given relation we can find x

Q: Let f(x)= x2 and g(x) = 2x - 1. (a) Compute fig(x)]-fig(a)] g(x) - g(a) (b) Compute fig(x)]-fig(a)]…

A: Here we have to find the composition of functions.

Q: Find the function. Find the function that is finally graphed after the following transformations are…

A: Given parent function:- y=x

Q: Suppose that you are on the beach on December 25 and notice that the high tide occurs at 2:00 pm…

A: We need to find sinusoidally equation data.

Q: 2 Suppose that lim (x, y) → (3. 1) f(x, y) = 6. What can you say about the value of f(3, 1)? What if…

A: Use the concept of limit, it states that limit at any point is approaching value of that function.…

Q: Use Stokes' theorem to evaluate JC F. dr. F(x, y, z) = zexi + (z − 6y³)j + (x - 7z³)k, C is the…

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Q: pls show all steps and if possible do it handwritten so i can better understand thanks, Find the…

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Q: D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

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Q: Maximizing Profits An apartment complex has 100 two-bedroom units. The monthly profit (in dollars)…

A: The given function is p(x)=-10x2+1780x-48,000.

Q: The inverse of the following set of ordered pairs is a function. ((0, 1), (2, 9), (-2, 9), (1, 3),…

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Q: Suppose that f is a function given as f(x) = 2x² + 5x. Simplify the expression f(x + h). f(x + h) =…

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Q: 18. $300 $3

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Q: The vector field 2x 2y F(x, y, z) = is defined when z0. It is conservative. Find a potential…

A: Given: Let consider the given function: F(x,y,z)=2xz,2yz,-x2+y2z2 We have to find potential…

Q: ving the ial value lane the differential equation. problem depends In each of Problems 13 through…

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Q: Question 6 The Wronskian is the determinant of a matrix whose entries are functions and its…

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