Find the accumulated present value of a continuous stream of income at rate R(t) = $140,000, for time T = 17 years and interest rate k = 5%, compounded continuously. The present value is $ (Round to the nearest dollar as needed.)

Q: Evaluate the second derivative of the function below at (1, -2). y² = x³ = x + 1 -

A: To evaluate the second derivative of the function at the given point.

Q: Find all values of z satisfying the given equation. (Enter your answers as a comma-separa cos(z) =…

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Q: ¹ (x + y) − ln[1 + (x + y)²] = 5³, what is Given Tan¹ - none of the choices 2-2x-2y z-2x + 2y - 1…

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Q: 7. Integrate * m Note: fedu = e² + C Ox²ex-2xe* + 2e* + C O-tanx + C 4 O x² + 2xe* - 2e* + C O x² -…

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Q: Which conic section is formed in the image shown? Circle O Parabola

A: Solution  Given that figure                 It is clear that

Q: Evaluate the function below from x = 1 up to x = 3. 1 Nova dx (x)(1 + (lnx)²), All associated angles…

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Q: 4-f(t)=e-²¹. 3 t³.

A: Topic = Laplace Transform

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Q: Hei! If y cos(xy) dydx = x=0 y=0

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Q: 2x (x-a)² dx; a is constant

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Q: Compute the derivative. y = cos (te-61) (Express numbers in exact form. Use symbolic notation and…

A: y = cos(te-6t) here we use chain rule and derivate the equation  with respect to t

Q: 4-f(t)=e¹²¹.t³.

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Q: If y= cose* then dy dx 11

A: Solve the given

Q: 6. f 2x³sin (3x) dx

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Q: Sarge invested $10,000 per year in his RRSP each year for 20 years. If interest is 496 compounded…

A: Given problem:- Sarge invested $10,000 per year in his RRSP each year for 20 years. If interest is…

Q: Given z = (e-2) (siny), find dr -2x O-2 e 2² (cos y) O-2 e 2 (sin y) O-2 e 2 (sin y) +e-2 (cos y)…

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Q: Evaluate the integral I. integral range of 0 to 1. ((9/1+t^2)j + (6t^5/1+t^6) k ) dt Using  u = 1 +…

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Q: If A = [0, 2π] and A is measurable, prove that lim :S cos nx dx = lim sin nx dx = 0.

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Q: 49. SR 3xy dA; R is the region in the first quadrant bounded by y = 2 x, y = 0, and x = 4 − y². =

A: Given Region  is bounded by  curve y=2-x, y=0 , and x=4-y2  in first quadrant

Q: The following identity is not equal to 1-cos(t) [sin(t)]² t [1+cos(t)]

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Q: 7. What is the area bounded by the curve y=x and the line x-4=0? A. 10 32 B. 3 C. 32 D. 11

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Q: Which of the following is the domain and range of the ellipse with equation x² + 4y²2 - 2x + 16y-…

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Q: 34. Compute the surface area generated when the first quadrant portion of the curve x² - 4y + 8 = 0…

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Q: 1. A circle is drawn with its center at (8,0) and with radius r such that the circle cuts the…

A: According to question,Center : 8,0Radius : requation of ellipse : x2 + 4y2 = 16

Q: which method is best to describe an infinite set?

A: The solution is given below

Q: aw Q/ Find for wear sin ¹p where əx p = sin x q = z² ln y r at (x, y, z) = ( Hint: sin √1-x² dx X =

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Q: Which of the following sets are convex and which are not? 2 a. {(x₁, x₂) x² + x²₂² ≥ 3}. b. {(x₁,…

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Q: [x(4x²+6)√2x² +3dx = is

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Q: 1-ex 18. Determine lim x→0 x A. 0 C. 1 B. -1 D. DNE x²-1 19. Evaluate lim x-0 √x-1 A. 2 C. 1 B. 4 D.…

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Q: -4 dx 2. 510

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Q: 46. How will you know if you can use a Substitution Rule in finding the antiderivative of a…

A: According to our guidelines, we can answer only one question or three subparts of a question. Other…

Q: State the interval(s) over which the function f(x)=√x² + 10x + 25 is continuous. If there are…

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Q: Find the volume bounded by the function z = f(x, y) = xy√x² - y² 8≤x≤10 and 0≤ y ≤8. over the…

A: Volume bounded by a function z=f(x,y) and a region R=x,y:a≤x≤b,c≤y≤d is given by V=∫ab∫cdzdydx

Q: √1+x 1- x dx

A: Substitute x=cos2thetha

Q: Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R(x)…

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Q: 15. What is the appropriate total area bounded by the curve y = sin x and y = 0 over the interval 0…

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Q: 5. Is the following expression an identity? Explain your reasoning. cos²0 - sin²0 cos20+ sin cos 0 =…

A: Recall: Known Identities sinθcosθ=tanθ a2-b2=(a+b)(a-b)

Q: Prove the following using the definition of a limit. n - 1 (a) lim n+on+1 (b) lim (2x² − 3) = −3 -…

A: For (a),    limn→∞ n-1n+1=limn→∞ 1-1n1+1n=limn→∞ 1-1nlimn→∞ 1+1n=11=1 For (b),    limx→ 02x2-3Plug…

Q: Evaluate the trigonometric function below from 0 = 2 up to 0 = 3. [((2) (cot² 0) – (3)(tan² 0))de -…

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Q: D. If the outer function is not differentiable. C. f 5x¹ dx = D. f 5x8 dx = 47. Which of these…

A: According to the company rule we can answer only the first question and rest can be reposted.

Q: Find the limit of the function lim x² 3x +2 X-1 X-A

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Q: s! = xpε + ₂x7M9+ ₂X†)x]

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Q: Let e 2* = 2 find dy dx at x = 1

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Q: f(x) = -3 sin x [0, 3T]

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Q: 7. Lucas does not like Dustin weapon and decides to design his own. His model has a plane that…

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Q: What should be the balance in a Registered Retirement Income Fund (RRIF) that will provide $2,000 at…

A: Solution of given question is written in below steps.

Q: The volume V of an ideal gas varies directly with the temperature T and inversely with the pressure…

A: The volume V of an ideal gas varies directly with the temperature T and inversely with the pressure…

Q: s dx 20+ 8x - x²

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Q: Q3: Evaluate the following integrate: (chose three only) 1. dx 1+x²

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

Q: 3. Evaluate the integral sin ede from 0 to pi/2. A. 2x/3 B. 3π/5 C. 3m/16 D. R/4

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