2. Convert the following standard a. (y + 1)² = -2(x + 2)

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A: Solution

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Q: J.J. Sm 35.) a. cos 210° 36.) a. cos TC 6 DICUS DIJ b. cos 90° b. sin TU 3 C. COS SEU c. sin(-120°)…

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Q: Consider the following. 4 + e¹- 4x = 25 (a) Find the exact solution of the exponential equation in…

A: To solve the given exponential equation

Q: 6. $2 wwwage 2+1 3335

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Q: d. 1 3a+18 = 1 - 8 a+6

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Q: 12. 14. Ss sir 1

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Q: -G) ¹ + ¹ +)* 3 2 (f)_7(t)=e¹i+e¹j+t√2k for 0≤t≤1 (e) r(t)= k for 0≤t≤1

A: (e).The given vector function is:r→(t)=t33i→+t22j→+12k→          for   0≤t≤1

Q: A standard deck of cards consists of four suits (clubs, diamonds, hearts, and spades), with each…

A: *Note :- As per the rules, only first question solved. Kindly repost remaining questions separately.

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Q: 2) Solve the given Variable separable DE 1) x cos² y dx + tany dy =0

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Q: 4 A stone is thrown upwards out of a window, and the rate of change of its height (1 metres) is…

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Q: above by the surface Tuery² and below bu

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Q: = e 3 from x pproximate the area under the curve y with 4 subintervals. Round your answer to 4…

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Q: Consider the solid obtained by rotating the region bounded by the given curves about the line x = 3.…

A: figure:-

Q: Remove arbitrary constant in the given relation. y = Ae²x cos 3x + Be²x sin 3x

A: y=A e2xcos3x+Be2xsin3x Differentiate with respect to x:…

Q: Find sin 2x, cos 2x, and tan 2x if sinx = - sin 2x cos2x tan 2x = 11 0 0 2 √13 and X terminates in…

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Q: Let z = 6ex²y³. Then: дz дх дz ду

A: We can solve this as follows:

Q: 3. (b) Identify the curve by transforming the given polar equation to rectangular equations. r = 6 3…

A: (b) The polar equation is given as , r=63cosθ+2sinθ          .....1 Identify the curve by…

Q: Consider the function f(x)= 2x-3 x-1 1. f(x) has a horizontal asymptote at y = 2. f(x) has a…

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Q: Q3.4 You have been given the Solve it and write function of x. Your youtu wer innitial value problem…

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Q: 6. Use differentials to approximate the volume of a spherical shell whose inner radius is 5 cm and…

A: Note: According to our expert guidelines only one individual question is to be answered kindly…

Q: The function f(x) = 2x³ - 45x² + 300x + 9 has one local minimum and one local maximum. Use a graph…

A: Topic - Local extrema's of a function We are given an equation, f(x)=2x3-45x2+300x+9And it's known…

Q: 2) Evaluate the definite integral cos a dx. Round your answer to 4 decimal places.

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Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the funct 8 + sec(6t) dt…

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Q: = SCADX (40x e**²-5) dx 1. S[(GN=51) 10 Jax = log2 (OXP²41) 6X 7- ² 105_ [ [10CC (1014 4X²-5 8. 5 e…

A: Note:  As per our guidelines we are restricted to solve more than 3 subparts of a problem.…

Q: Q5.2 You have been. given the equation Find a particular following differential solution. for it…

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Q: the initial value problem (IVP) y' = y³/4/x, y(1)=0 How many solutions does this IVP have? a) More…

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Q: Find a cubic function y = ax³ + bx² + cx + d whose graph has horizontal tangents at the points (-2,…

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Q: Evaluate the definite integral. Southe 11T 2 9 sin(x) dx =

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Q: The demand function for Wally Winka's Neverending Lollipops is given by p= (12-x)In(x + 7) where p…

A: Given  p=12-x lnx+7 is the demand function When x=6    p6=12-6 ln6+7           =6 ln13   Rate of…

Q: Find the value or values of c that satisfy the equation fb)-f(a) = f'(c) in the conclusion of the…

A: Here is the solution:

Q: the rectangular equation if r = 4 cos 0 + 4 sin 0

A: Given query is is to find the rectangular equation.

Q: Determine if the following series converges or diverges. Indicate what test you use. a) Σ 1 2 n=1 n²…

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Q: Find the extreme values of the function and where they occur. None O Minimum value is at x = e¹/4;…

A: To find the extrem values of the following function and to determine where they occur.y=lnxx4

Q: Suppose the population of the world was about 6.2 billion in 2000. Birth rates around that time…

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Q: 1. Given the function f(x) = C. f'(x) = 2 for all x. (2x -1, x ≤ 1 x², x > 1 A. f is continuous and…

A: Given function:- fx=2x-1x≤1x2x≥1

Q: Calculate the gradient of f(x, y) = xy at (x, y) = ( − 1, - 2). Vf(-1, -2)

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Q: Given f is a differentiable function such that f(4) = 2 and f'(4) = -3. If g(x) = 2x3 * f(x), find…

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Q: d² y 5. Find at t = 2 for x dx² (a) (c) NIM LI3 = 212 + 1, y = 213-1 t2 t3 t (b) (d) 518 318

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Q: A farmer is constructing three equally-sized pens against the side of a barn for his animals, as…

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Q: Initially an 800 gallon tank contains 400 gallons of water in which is dissolved 50 lbs of salt.…

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Q: Find dy/dx if y = sec¯¹(x) Answer: ·¹(x) + csc¯¹(x).

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Q: 1+ 3n4" for every integer n ≥ 0.

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Q: In the accompanying diagram, right triangles AOB and COD are inscribed in circle O, which has a…

A: Topic- Area of shaded region We are given  Right triangles AOB and COD are inscribed in circle O ,…

Q: I 2.) Solve the given ylnx Iny dx + dy = 0 Variable reparable DE

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Q: Evaluate the following integral. x² dx 2 1₁x²0x (225+x²)²

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Q: Find the absolute maximum and minimum of f(x, y) = 2x + 4y within the domain x² + y² ≤ 1. Please…

A: Given function:- fx,y=2x+4y Let gx,y=x2+y2-1

Q: 3. Determine the vertex, focus, directrix, and axis of symmetry of the parabola with the given…

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