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

Q: The rectangles in the graph below illustrate a left endpoint Riemann sum for f(x) = on the interval…

A: We have to find the integral using left and right endpoints.

Q: 4. Find the arc length of r = cos? (0/2), 0 s 0 s 2n.

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

A: we know that  The deck has cards in two colours red and black

Q: A mass weighing 32 pounds stretches a spring 2 feet. Determine the amplitude and period of motion if…

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Q: The graph of f is shown below. Evaluate each integral by interpreting it in terms of areas. 1,0 10…

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

Q: Rewrite the series to show that it is an alternating series of the form E1(-1)"b„. Then, use the…

A: The given series,          ∑n=1∞n cosnπ2n

Q: (a) 2. A bug begins to crawl up a vertical wire at time t=0. The velocity v of the bug at time t,…

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Q: Problem 3. Sketch the region enclosed by the curves y = 6x, y=4x², and find the area of that region.…

A: We can solve as follows

Q: An iron block weighs 5.2 N and has a volume of 272 cm³. What is the density of the block in kilogra…

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

A: ----------------------------------------

Q: hi

A:

Q: The integral S dydx represents what?

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Q: B: .A card is drawn from a well shuffled pack of 52 cards. Find the probability of: (i) '2' of…

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Q: Consider the double integral ° S sin a dy dx. What conclusion can you make about the value of this…

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Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

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Q: 1. Find the derivative of the following: (Simplify your final answers.) f(x) = ev3(cos²zx) C.

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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: power line is to be run to an offshore facility as shown in the figure above. The offshore facility…

A: Solution: Cost function C(x) = 50000(8-x) +x2+1(80000)

Q: 53-58 A particle is moving with the given data. Find the posi- tion of the particle. 53. v(t) =sin t…

A: We know that if 's' is position of a particle at a particular time 't' then velocity v (t) and…

Q: Find the area, A, of the region enclosed by the cardioid r = 8+ 8 cos 0. 96 л (B 52 A © 48 n (D) 100…

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Q: Consider the diagram shown below. Suppose that O = (0, 0) and A = (3.5, 0) and B = (2.91, 1.95). The…

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Q: Consider the angle shown below with an initial ray pointing in the 3-o'clock direction that measures…

A: The terminal point is 2.15, -1.94

Q: Use the limit definition to compute the derivative of the function f(t) = ,, at t = -4. (Use…

A: Here, the given function is: f(t)=33-t

Q: Solve for the following system of differential equations. dx x + 3y, dt dy = 7x + 4y dt

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Q: Q(x) = Jx + Vx + x + ..

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Q: fa |(1 + 63*(6) ds 25 – x² (– 2x) dx

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Q: Graph the function and find its average value over the given interval. g(x) = |x| – 1 on [-1,1]

A: We have to draw the graph and average value.

Q: 26. Let g be the function defined by g(x) = |. +7 - 2--61 dt. On which of the following intervals ie…

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Q: Derivative of f(t) = 8^t[(2t+1)^2+t] using Chain Rule

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Q: The function values f(x) in the table below is increasing for 0 < x< 12. 0 369 12 f(x) 34 35 37 42…

A: (A)  RIGHT HAND SUM   when ∆x=3     then n=12-03=4 The four subintervals are[0,3]   ,   [3,6]  ,…

Q: 639 * The degree of the polynomial graphed above is Select an answer v Select an answer

A: Degree is the largest exponent of variable.

Q: Directions: Solve the following using the theorems on differentiation. 1. Evaluate x5dx 2. Evaluate…

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

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Q: Classify the quadratic form below. Then make a change of variable, x= Py, that transforms the…

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Q: Find of the following equations: dx 4 a. y = -3x² + 7x² + ln 8x)"

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Q: 200 D(r)

A: answer is in next step

Q: Use power series to show that 1 1 1 e =- + 0! +...** 2! 3! 4! 5! 6! 117

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Q: Let y = f(x) be some function and suppose f(4) = 3. %3D If the tangent line to f at a 4 passes…

A: On solving this we will get

Q: Question An open-top box is to be made from a 12-inch by 42-inch piece of plastic by removing a…

A: An open‐top box is made from a 12‐inch by 42‐inch piece of plastic by removing a square form each…

Q: Which one of the following accurately describes the set {(p, 0, $)|¢ = 5 } in spherical coordinates?…

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

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

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Q: y = e2a %3D

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Q: Find an equation of the tangent line to the graph of the function at the given point. Function Point…

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Q: er each series is conditionally convergent, absolute (-1)" n n! c) E n'+1 2 '100"

A: We have to find the nature of the series according to the given information

Q: acceleration due to gravity.) x(t) = ft

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Q: Consider an angle with an initial ray pointing in the 3-o'clock direction that measures 0 radians.…

A: We need to choose correct options.

Q: A forest fire covers 1600 acres at timet = 0. The fire is growing at a rate of 2/t acres per hour,…

A: How many acres are covered 20 hours later ?