1. Condense. . (a) 32.32 y

Q: solve the inequality algebraically 2x / x -3 > 3x / 2x+4

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Q: Determine the required integrating factor: y'=csc (x) + y cot(x) O sin(x) O csc (x) O cos(x) O sec…

A: Given Data : Here given differential equation is, y'=csc(x)+y cot(x)   Expansion : Consider general…

Q: (y4-2xy) dx + 3x²dy=0

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Q: . Expand: (i) (2x - 3y)4

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: How to get the derivative of the 7th root of (5+2logz)9?

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Q: 1-2x²x4 (i) lim X118 5+x -3x4

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Expand the expression in attached image up to 3rd term.  Hence estimate (0.99)10 to 3 dp.

A: Binomial expension

Q: FB 2.2 Find exact expressions for the sine and cosine of 12

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Q: Differentiate the given function using the appropriate rule(s). Your answer does not have to be…

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Q: Question 1 Given: y' + y = y²(cosx - sinx)and y(0) = 2, Find C OA.0 OB. 1/4 OC. 1/2 OD. 3/4 O E.…

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Q: Two stations, located at ?(−5,0) and ?(5,0) (units in kilometers), simultaneously send sound signals…

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Q: Determine the type of DE (select all that applies): dr dᎾ + rsec0 = cos( Separable Exact None of…

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Q: Calculate the first eight terms of the sequence defined by 1 a₁ = 1, an+1 3an +3. Does it appear to…

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Q: A bank heist occurs. The robbers flee the bank at 60 km/h due south. As they are leaving, cops that…

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Q: Use implicit differentiation to find the equation of the tangent line to the given equation at the…

A: When the slope is infinte then equation of the tangent line is a vertical line x=a where (a, b) is…

Q: Find the derivative of the following functions using limits. 1. f(x)= 3x² + 4x-5 2. f(x)=x³2x²+x-3…

A: The given functions, 1. fx=3x2+4x-52. fx=x3-2x2+x-33. fx=x-12 We have to find the derivative of…

Q: Assume that the level surface equation x3+y3+z3+6xyz = 1 defines z implicitly as a function of x and…

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Q: Let u(t) = 2t³1+ (t²-1)j-8k. Compute the derivative of the following function. (+15+6t) u(t) Select…

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Q: dx Find by implicit differentiation for the given equation. cot (x + y) = = 4+x4

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Q: Find the length of arc of the curve given by the parametric equations: x = t³, y = 2t², −1≤t≤2.

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Q: Find the critical point(s) of the function f(x, y) = x¹ +y¹ − 40xy. Enter your answer as an ordered…

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Q: Let f(x)=-12 arccos (2e) Find f'(In (3)). Enter your answer below.

A: Wee need to find derivative value.

Q: Question Determine which of the following tests would be best to use to determine the convergence of…

A: Solution: ∑n=1∞9n37 Apply p series test if the series is of the form  ∑n=1∞1np, where p>0 If…

Q: Determined of the following. Do NOT simplify your answers. y = cos (ln(3+sinx)+tanh) 1.

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Q: Let g(x) = f f(t) dt, where f is the function whose graph is shown. Answer the following questions…

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Q: A. 3t+ 2y + (3t+ 2y)y' = 0 OA. A only OB. B only OC. A and B O D. None B. 3t+ 2y + (3y + 2t)y' = 0

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Q: 5. Prove that, for n> 1, n

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Q: The arc length of one petal of the rose r = sin 30 is given by 1 73 2 S 2/³ TT 1 ·풍 2 S sin2 0+9…

A: We know  Length of arc length in a,b=∫abrθ2+r'θ2dθ

Q: ow If w = −6x + 2yª, x = 3s +7t, and y = −8s — 6t, find Ət Sorry, that's incorrect. Try again? Əw Ət…

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

Q: Let u(t) = 2t³1+ (t²-1)J-8k. Compute the derivative of the following function. (+¹2 +4t) u(t) Select…

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Q: Evaluate the definite integral 5 2 X dx

A: Given query is to find the integral.

Q: The edge of a cube was found to be 30 cm with a possible error in measurement of 0.1 cm. Use…

A: We need to find out possible error in volume and surface area.

Q: Question 2 xy dx + (x²-3y) dy=0

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Q: Consider a particle moving along the x-axis where x(t) is the position of the particle at time t,…

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Q: x + 1 x-1 1. Given: f(x) a.) solve: (fog)(0) = and g(x) = x-3 x + 3 b.) Find the domain of f,domain…

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Q: Evaluate the integral using the FTC 1: [₁(8x² + 7x5) dx = =

A: Given query is to find the value of the integral.

Q: A Moving to the next question prevents changes to this answer. Question 1 Given: y2 + t² + (e²y +…

A: Let's solve given diffential equation and find constant C.

Q: A police car traveling south toward Sioux Falls, Iowa, at 160 km/h pursues a truck traveling east…

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Q: 2. Let S = {100, 101, 102,...,999} so that [S] = 900. (a) How many numbers in S have at least one…

A: We need to find number of digits.

Q: closed box is in the shape of a rectangular solid with dimensions x, y, and zin inches. Suppose that…

A: Given query is to find the rate of change of area.

Q: R is the region bounded above by the graph of f(x) = 5x - x² and below by the x-axis over the…

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Q: Give the general solution of the given ODE. Show full solution. y′(2x−3) = 2xy+48x−3y−72

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Q: The revenue in dollars from the sale of x calculators is given by the equation R(x) = 6 + √540x-2x²…

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Q: Could you find A,B,C,D

A: Given, f(x)=a(x+b)(x+c)(x+b)(x+d)

Q: Define as the region bounded by the function f(x): and the line x = 1 in the first quadrant between…

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Q: Given: y2 + t2 + (e2y + 2ty)y' = 0, and y(1) = 0, Find: C (constant) O A. 1 OB. 0 O c. 1/2 OD. 1/4…

A: Given y2+t2+e2y+2tyy'=0 and y1=0

Q: What is Exponential Growth and Decay on population growth elaborate

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Q: Use Simpson's Rule with n = 10 to estimate the arc length of the curve. Compare your answer with the…

A: Here we have to use the Simpson's rule.

Q: (a) Explain how we can test whether the DE (cos y) dx + (y² - x sin y)dy = 0 has an integral…

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Q: 1.) xy3dx + ex^2dy = 0

A: We need to find out the solution of the differential equation.