Find the center, foci, vertices, and eccentricity of the ellipse and sketch the graph. 16x² + y² = 16

Q: Find the total area of the shaded region. 10- 8 6 4 Ay 15 2 p y=9 π/2 2 y=9 cos x it 3m/2 N X 2x J

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Q: 7. If y = (x³ - cos x), then y' = (A) 5(x³ - cos .x)* (B) 5(3x² + sin x) (C) 5(3x² + sin x) (D)…

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Q: Evaluate the following indefinite integral. fo-[ dt Note: Don't forget your C! And be sure to use an…

A: We are required to evaluate the indefinite integral∫et6+etdt

Q: Developing Find f'(x) 1) f(x) = sec(x)e* 2) f(x) = 2* + 4x²

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Q: Evaluate the indefinite integral. x + 3 1² + 6x + 10 dz

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Q: Evaluate the definite integrals using properties of the definite integral and the fact that 5 f(x)…

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Q: infinite

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Q: Use the FTC to evaluate the following definite integrals. f (6x - 2)dx ³₁ t³ dt

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Q: lim cos(x) X→∞

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Q: Find the area of the shaded region. 3 f(x) = 8x + 2x² − x³, g(x) = 0 gr -4

A: NOTE: Refresh your page if you can't see any equations. . given functions are and the limits of x…

Q: Find all values of x (if any) where the tangent line to the graph of the given equation is…

A: Use differentiation to find the horizontal tangent line.

Q: A particular computing company finds that its weekly​ profit, in​ dollars, from the production and…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: a tree cast shadow 45 ft long compared to a yard stick that cast a shadow 2 ft long. write three…

A: a tree cast shadow 45 ft long compared to a yard stick that cast a shadow 2 ft long. write three…

Q: 5 3 2 1 Find the area under the curve y 5 I over the interval [1, 2].

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

Q: Basic rules (sum, product, quotient, power) DO NOT USE THE DEFINITION anymore. Use the shortcuts.…

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Q: Given a = log7 5 and b = log, 4, use logarithmic properties to represent each of the following…

A: Given that a=log75 and b=log74, using logarithm properties to represent each of the given function…

Q: Find the limit as x approaches infinity of (2x-1)(3-x)/(x-1)(x+3)

A: Given query is to find indicated limit.

Q: Find the orthogonal trajectories of the family of lines 3x + 5y = C A B C D 3x 5y = k 5x 3y = k 3x +…

A: Orthogonal trajectory

Q: Consider the series n=1 (3x)" n Find the interval of convergence of this power series by first using…

A: Radius of convergence of the series, ∑n=1∞anxn  is given by, R=limn->∞anan+1

Q: Raggs, Ltd. a clothing​ firm, determines that in order to sell x​ suits, the price per suit must be…

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

Q: Using Part 1 of the Fundamental Theorem of Calculus, evaluate: Question Help: Video Message…

A: Given query is to find the derivative.

Q: How much would you need to deposit in an account now in order to have $5000 in the account in 10…

A: The Compound Interest Formula: A = P 1+rnn·t where A = Accrued amount P = Principal amount r = Rate…

Q: Evaluate e f xy³dx. ry³dx + x²dy, where C' is the rectangle with vertices (0,0), (3,0), (3,1), and…

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Q: (D4-1)y = sinx, Find Yp 1 10 a. O b. 1 15 O c. 1 10 O d. 1 sin 2x sin2x -cos2x 15 -cos2x e. none

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Q: The safe load, L, of a wooden beam supported at both ends varies jointly as the width, w, and the…

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Q: 4. Use a linear approximation to estimate tan (47°).

A: Let's find value of tan(47°) by using linear approximation.

Q: (D3 - 2D2 - 5D +6)y=e4x, Find Yp

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Q: and V. 35. 36. 37. = (1,1,1), V = (2,0,1) = (1, -2, 1), V=(3,2,1) =(5, 0, 2), v= (-3,0,7)

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Q: Find the area under the given curve over the indicated interval. y = 2x; [2, 6] The area under the…

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Q: 2. Let f be the function given by f(x) = 300x-x³. On which of the following intervals is the…

A: Given function:- fx=300x-x3

Q: (D2-3D + 2)y=e5x, Find Y = Yc+ Yp O a. 1 *C₁² + €₂²¹ +2³² 12 O b. ³² C₂₁ ²² +₁₂=²+ = 12e-² -5x 12 O…

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Q: Evaluate the integral √2³ (2¹ – 10) "dr by making the substitution = ¹-10.

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Q: Evaluate the definite integral [² (9x² - 6x +9) dx

A: ∫279x2-6x+9dx

Q: 3D + 2)y = ex, Find -ex et -xex xex

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Q: Compute (a) ₁ and (b) ₂ for the iterative process defined by n+1 = 2xn (4 — xn) with xo (a) x₁ = -…

A: Given query is to find x1 and x2 .

Q: 5. Find the critical points of f(x) = 2x - e and classify using the second derivative test.

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Q: 7 Given that f(x) dx 7 evaluate f(x f f(x) dx. = 5 and 5 f f(x) d dx = 4,

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Q: You want to buy a new car. You can afford payments of $300 per month and can borrow the money at an…

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Q: If what does the following integral equal? L₂d d(z)dz = 10 ["ha d(z)dz = 15 and 10 [d(z)dz = 4.2

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Q: 5. Find the area of the region. a. One petal of r=2cos 30 d. Interior of r=1-sin

A: Solution (a)

Q: 8 If f.° F. '8 +6³ ² f(x) dx = 31 and g(x) dx = 18, find 8 6.² [3f(x) + 5g(x)] dx.

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Q: 1 7x6 (6-x) dx 0

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

A: NOTE: Refresh your page if you can't see any equations. . use the comparison test

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) √² dx 2 + 8x 1 + x²

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Q: Triple Integral Evaluate 2 x exty de dy fofofo 0² (y +22) Jan

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Q: Evaluate the definite integral [*2 sin(x)dx

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Q: Find the roots of (D4 + 4)y = 0 O +2i, ±2i + 2 O b. 2+2i, ti Oc1ti, - 1 ti Od-1 ti, 2+2i O e. none

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Q: Evaluate the integral by interpreting it in terms of areas. 1₁ ( 4 + √9-x²) dx

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Q: Use integration by parts to find the indefinite integral. (Use C for the constant of integration.)…

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) J sin (2x) 6 + cos²(x) dx

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