Find the equation of the tangent line to the curve at the given point using implicit differentiation. Trisectrix of Maclaurin x(x² + y²) = 3x² - y² at (1, -1) - 3 -2 -1 y 3 2 1 1 2 B X

Q: Evaluate the definite integral. Use a graphing utility to verify your result. R/8 Jo cos(4x) dx

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Q: Find the slope of the tangent line to the curve 2xy - 3y³ = -9 - -4x² - at the point (2, -1).

A: NOTE: Refresh your page if you can't see any equations. . the given curve is  and the given point…

Q: Given the vector-valued function u(t)= (t²- 3)i + (2t + 4)j + (t³ - 3t)k, d calculate [u(t) × u'…

A: Explanation of the answer is as follows

Q: Suppose that the cost (in dollars) for a company to produce x pairs of a new line of jeans is C(x) =…

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Q: Answer: If f is continuous and [10 *f(t) dt = 12, find the integral [*²1² ƒ (1³) di dt.

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Q: (b) -2 x dx

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Q: Let P(t) represent the price of a share of stock of a corporation at time t. What does each of the…

A: Solution: Given data, Let P(t) represent the price of a share of stock of a corporation at time t.

Q: Solve fr5 ln(x) dx using Integration by Parts. Use u = ln(x) and v' = x5. Answer: 9.

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Q: The domain of In(x) + True False 1 x² - 1 consists of all real numbers except x = ±1.

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Q: 10. (3t+ 2)24 dt

A: Integrate (3t+2)2.4 with respect to t

Q: 22. sin(In x) X dx

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Q: Solve the differential equation. dy + 5y dx = e-5x dx A y = 5x + ce-5x By=e-5x (x + c) C) There is…

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Q: Define Hybrid Integration

A: A process of integrating cloud based services with the work applications and the system in premises,…

Q: The minute hand on a watch is 8 mm long and the hour hand is 4 mm long. How fast is the distance…

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Q: Answer using Differential Equations  A thermometer is brought outside from the inside of a house…

A: According to the Newton's Law : T(t) = Ts + (To – Ts) e-kt Where, t = time, T(t) = temperature of…

Q: What is the sum of the series -4? THE NIG 20 13

A: Topic = Series

Q: Find a function P(x) of least possible degree, having a= 1and with the given zeros 4 and 5i.

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Q: A particle moves according to a law of motion s= f(t), tz 0, where t is measured in seconds and s in…

A: Note: Since you have posted a question with multiple subparts we will solve the first three subparts…

Q: Let f(x) = In(x) x3 O (0, e¹/³) 0 (-∞, ∞) O (e¹/3, ∞) ○ (0, ∞) O (-∞, e¹/3) Find the intervals where…

A: I am attaching image so that you understand each and every step.

Q: Find 3u, -5v, u + v, and 5u - 4v for the given vectors u and v. (Simplify your a u = i + j, v=i- j…

A: given vectors        u = i + j  and   v = i - j   then finding -   (1)  3u = 3 (i + j) = 3i +3j…

Q: If g(x) = cos(x) then g'(x) = = g'(1) = -sin(x)

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

Q: Find the solution to the differential equations xdt = (t3 - 3t)ln2xdx

A: Need to find out the solution of the given differential equation.

Q: If a U.S. dollar purchases 90 Argentinean pesos, and a gallon of milk costs $4 in the U.S. and 120…

A: we will find the required.

Q: Eliminate the arbitrary constants lnw = -x, y = c1w + c2w2

A: Here we have to eliminate the arbitrary constant in the given equation

Q: Simplify the following expression. ajjj7-j/ √ √4 +2²dt (Hint: √ √₁ +2²dt= √ √₁+²a+ [√₁ +²³α) dt dt)…

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Q: 4. For any kл, where k = Z, O Always True O Sometimes True O Never True 1+cos 8 sin Ꮎ

A: Topic - Trigonometry We are given, sin θ1+cos θ=1- cos θsin θwe know thatsin2θ+cos2θ=1

Q: Find the general indefinite integral ∫ v(v2 + 2)2 dv  *please use handwriting not typing, I…

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Q: Calculate Vv and V x v. a) OV-v=-2x²yz and V × v = 0 b) OV v = 2yz + 3 and V x v = -2xi+ 2xyj +…

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Q: Q. A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 7…

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

Q: Evaluate the following integrals. 1 √(x + a)(x + b) (a) / dx.

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: dy 1+ dx L = √ √ ¹ + (d) dar dx

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Q: Find f-1 (z) for f(z) = 3+14z. Enter the exact answer. Enclose numerators and denominators in…

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Q: 2. If A is 2x8, B is 8x3 and C is 3x4, which of the following exists? a. 2A+3C b. (AB)C c. BA-2C d.…

A: We have to solve above question

Q: Question 11 Calculate V. v and V x v. v(x, y) = 5yzi + 6 xzj + 4xyk

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Q: 2. Let Ꮎ be an angle between vectors w = i +3j and v = ( =(5,2). What is cos ? What is sin ? Answer:…

A: Use the dot product and cross product formula for finding the cosine and sine angles.

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer…

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Q: Evaluate the integral: S (2-1)(2+1)2 dx : +C

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Q: g(1) = g(2) = g(3) = g(6) = B. On what open interval(s) is g increasing? C. At what value of x on…

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Q: Let A be the area of a circle with radius r. If dr = 3, find d when r = 4. dt Answer:

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Q: Find the dimensions of a rectangle (in m) with perimeter 68 m whose area is as large as possible.…

A: NOTE: Refresh your page if you can't see any equations. . x=width of the rectangle y=length of the…

Q: Evaluate b) O c) O d) O 28 3 56 3 20√5 3 56 3 2 √²+1 do over the surface S: 43 2 = y²; 0≤x≤2, 0≤ y…

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Q: 3. Given: sin(0) = cos(p) = Show all work! Find: sin(0 + p) π where = < 0 < π 2 5 where π < φ< 13 3π

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Q: Use integration by parts to find the following: [(t + 7)e²t+3 dt = Hint: Use the substitution +C…

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Q: Evaluate the integral - dz 2./or using trigonometric substitution.

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Q: A B C (D) (0, 2); Graph of f The graph of the function f shown above consists of two line segments.…

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Q: Use the chain rule to find First the pieces: dz da ?х Əs dy Əs And putting it all together: dz Əs Əz…

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Q: Use the result obtained in Problem 20 to find the area enclosedby f1x2 = - 5x2 + 8, the x-axis, and…

A: Given function is f(x)=-5x2+8. The objective is to find the area enclosed by f(x), x-axis. where…

Q: Find the length of the loop of the given curve. x = 9t-3t³ y = 9t² 6 5 e +39 X

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Q: Evaluate the expression -5.3-21. A -7.3 B 7.3 Select one: O a. A O b. B O c. C O d. D C D -2.7 10.6

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Q: 11. If csc 0 = -and has its terminal side in Quadrant III, find the 3 exact value of tan 20.

A: use the trigonometric identity formula for finding the given angle