a²z Determine if z = tan- + r2+02° r

Q: ||r'(t) × r"(t)|| ||r'(t)||³ Use the formula k(t) = to find k(t). r(t) = t²i + t5j 390 t14 K(t) = 3…

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Q: ft? How fast is the balloon's radius increasing at the instant the radius is 2 ft? A spherical…

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Q: Consider the series n+5 Determine whether the series converges, and if it converges, determine its…

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Q: 1. Consider the curve C with parametric equations Sx(t) = t3 – 3t +1 lu(t) = t(t +1) defined for t e…

A: Given information:  xt = t3-3t+1yt = tt+1               , where t∈ℝ.…

Q: Find the total area of the region between the x-axis and the graph of y = -x - 3x, - 6sxs1. The…

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Q: 2. DETAILS LARAPCALC10 4.R.086. Find the derivative of the function. 8 In

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Q: -3 -2 -1 1 2 4 8 16 32 64

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Q: Question Supposef is continuous on [1, 8] and differentiable on (1,8). If 12 <f'(x) < 13 for all…

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Q: 2. Find all the derivatives of f, given f(x) = x8 – 5x7 + 4x6 – nx* + 3x3 + 11.

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Q: 44. V 3(-4V3. –2V3)

A: Given  Vector

Q: Evaluate the integral by interpreting it in terms of areas. In other words, draw a picture of the…

A: This question can be solved using the concept of area of triangle and area under curve. I have…

Q: 1. Suppose a body has a force of 3 pounds acting on it from the west, 4 pounds acting on it from the…

A: Using vector addition  we determine the force

Q: B: .A card is drawn from a well shuffled pack of 52 cards. Find the probability of: (iv) a card of…

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Q: Find the local linear approximation L (x) of the function f(x) = 5 – x² at =2.

A: To find the linear approximation of given function.

Q: 4. If ) dx=a+ 2b, then Sw+5)&r= (A) a+2b+5 (B) 5b-5a (C) 76-4а (D) 7b-5a (E) 7b-6a

A: A detailed solution is given below

Q: Let R be the quarter-circle region in Quadrant 1 bounded by the x-axis, the y-axis, and the circle…

A: See the answer below

Q: The demand for monorail service in a city in 2005 can be approximated by q = -4,500p + 43,100 rides…

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Q: 1. (a) By reading values from the given graph of f, use five rect- angles to find a lower estimate…

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Q: solve the question with complete and correct explanation within 15 mins or else downvote

A: Let's find.

Q: 3. 2. 1 15. The graph of f is shown in the figure above. If , f(x)dx=2.3 and F'(x)= f(x), then F(3)-…

A: ∫13f(x)dx=2.3 and F'(x)=f(x)

Q: 2. Which of the following is not an ordered field? Q=(all rationals) R=(all reals) S=(all…

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Q: 4. Find all real values of x such that |x-1| : Ix+11. O (00,-1| O (00,0) O 1,0) O 1,1) None of the…

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

Q: Find the area of the shaded region shown in the graph. y-13 sin e 13 cos x The area of the shaded…

A: Given: Let us first find the common element.            13sinx=13cosx⇒13tanx=13⇒tanx=1⇒x=π4

Q: Find the nth derivative of y = In(16x2 – 9).

A: Given y=ln(16x2-9)

Q: Write a triple integral, in spherical coordinates, that describes the volume of the lower hemisphere…

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Q: 3. Find the volume of a solid of revolution generated by revolving the region under the line 2x +1…

A: Volume of solid = integration of πf(x)^2 dx from x1 to x2

Q: Sketch the graph the integrands and use areas to evaluate the integrals. 1. L'lx| dx Sketch the…

A: The graph is shown below, where the shaded region represents the area.

Q: Danielle is skiing along a circular ski trail that has a radius 3.5 km long. She starts at the…

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Q: 21-23 Use Definition 2 to find an expression for the area under the graph of f as a limit. Do not…

A: To solve the following problem s

Q: determine which statement is true h(x) = (4x – 1)/ (9 – x) (A) not a function (B) function;…

A: h(x) is function and is not defined at x= 9.

Q: Si s(2x)dx = 23. If f is a continuous fiunction and if F'(x) = ƒ(x) for all real numbers x, then (A)…

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Q: The function g(t) = (8t)t – cosh? t + sinh? t satisfies gʻ(c) = 0 for which value of c?

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Q: A ball is thrown vertically upward from the top of the house 110 ft high with an initial velocity of…

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Q: 1 Calculate the difference quotient for f(x) = at a = 4. V2x + 5 (Express numbers in exact form. Use…

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Q: What is the probability you draw two cards of the same color from a standard 52 card deck you are…

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Q: Demand for the latest best-seller at OHaganBooks.com, A River Burns through It, is given by q = -p2…

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Q: Eveluete Khe definde lategal 3 In C) doc

A: To evaluate the integral.

Q: 9) Determine whether the series is absolutely convergent, conditionally (-1)"n convergent or…

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Q: 4.two die are tossed, the probability that the sum of two faces will be 4 11 d) 3 a) 72 b) 12

A: Probability

Q: Question 2 Find the volume of the solid generated when the region enclosed by the given curves is…

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Q: The general solution of the D.E.  ( x + y)dx + (x-y)dy = 0.

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Q: 5- If Die is rolled find the probability that never appear 2 a) b): d) 3

A: Answer is given

Q: d Calculate r1(t) · r2(t)] and ri(t) × r2(t)] first by differentiating d dt dt the product directly…

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Q: 1. Suppose a car is travelling on a straight road and s(t) is the distance travelled after For…

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Q: d. q(x) = cot-1 ( ) 1-nx

A: Follow the procedure given below.

Q: b. Engineers are designing a box-shaped aquarium with a square bottom and an open top. The aquarium…

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Q: Let f be a function defined by f(x) = In(2x2 + 1) and let g be a function defined by g(x) = 2x4 –…

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Q: Answer the question. Show ALL your steps in your calculations. Answer in complete sentences. 8…

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Q: A metal sheet is shaped as a region R on the plane defined by the following: 0 <x < 2, 0 < y <4- x².…

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Q: Find the antiderivative of the function 4x3 - 2x2 +x - 5 dx

A: This question is based on indefinite integral.