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Q: Evaluate the definite integral. x² - dx x' -1

A: Given, ∫x2x3-1dx

Q: Solve the triangle. 102° a-25 350 B. B= (Do not round until the final answer. Then round to the near...

A: Given: a=25∠A=35o∠C=102o To Find: i. Bii. biii. c Concept: Law of sine:sinAa=sinBb=sinCc

Q: Given f''(x) = 2x – 5, f'( – 3) = 1, and f( – 3) = 2. %3D a) Find f'(x) = b) Find f(2)

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Q: In Exercises 11-59, evaluate the integral using the appropriate methodor combination of methods cove...

A: We have to integrate: ∫sin5x cos2x dx Here we will use substitution method since derivative of cosin...

Q: Find the indefinite integral. dx 8.

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Q: 3- I want solution of this question with all steps please. Thanks

A: Given, a→=4i+2j+4k b→=-2i+4j-3k c→=4i+5j

Q: 4 and tane >0. 5 Let 0 be an angle such that sine Find the exact values of cot0 and sec 0.

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Q: Hi I need help with this problem: The base of a solid is the region in the first quadrant bounded by...

A: Given The base of a solid is the region in the first quadrant bounded by the graph of y=2x−x^2 and t...

Q: 4

A: Since, we have been asked about the conclusion of Rolle's Theorem,so we will first go through the st...

Q: 1. Graph y = 2x +24x + 40. State the coordinates of all intercepts and vertex. If you have access to...

A: 1. The graph of the given function is given below, Here, the x intercepts are -10 and -2 and the ...

Q: Help me please

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Q: The daily cost of producing q units (hundreds of pounds) of Select Sausage is known to be C = 200 + ...

A: Given, The daily cost of producing q units (hundreds of pounds) of Select Sausage is known...

Q: f(x)=2x^3+3x^2-12x find the critical numbers of (if any), (b)find the open interval(s) on which the ...

A: Consider the given function fx=2x3+3x2-12x

Q: Evaluate the following limit using table of values and graph a. limx→+∞ e2x b. limx→-∞ e5x c. limx→-...

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Q: The question is in the attached image. Thanks!

A: Given: The function fx=ex+cosx for 0≤x≤π, To find: The global maximum and minimum of the function o ...

Q: Which of the following are true statements? Mark all that are true. lim f(x) = - 2 implies that lim ...

A: Use the definition of limit as if limx→afx=l Then limx→a+fx=limx→a-fx=land conversally. Also li...

Q: Find a power series representation for the function. (x) = arctan() F(x) = E n = 0 Determine the rad...

A: Given: The function fx=arctanx9 To find: The power series of given function and its radius of conver...

Q: 1

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Q: Use the Midpoint Rule with n = 4 to approximate the area of the region bounded by the graph of the f...

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Q: 9. The demand function for a certain model of Blu-ray player is given by p = 600 (where p is the uni...

A: a) Consider the given demand function, p=600x-2 it is given that p¯=200. so substitute the value of ...

Q: Compute The double integral of a function f(x, y) = 73 over a rectangle [2, 4] × [3, 6]

A: To compute the double integral of a function fx,y=73 over a rectangle 2,4×3,6

Q: 8. Sketch the graphs of the functions f and g, and find the area of the region enclosed by these gra...

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Q: The area of a circle is to be computed from a measured value of its diameter. Estimate the maximum p...

A: Let x be the diameter of the circle and A be the area of the circle . Then, A=πx22A=πx24 Differentia...

Q: Find the solution of the equation, correct to two decimal places. log2(x+2) + log2(x−1)= 2

A: We gonna use log properties to sole this problem log m + log n = log mn loga x = y => x = ay

Q: pls help with both they are part of the same question. its just separated as part a and part b

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Q: Give the starting value a, the growth/decay rate r, and the continuous growth/decay rate k. If there...

A: Continuous Growth and decay: y(t)=aekt ...(1) Where a = value at the start k ...

Q: Find the sum of the convergent series. 8 8 + 8 125 8. 25

A: Given : The series 8 + 85 + 825 + 8125 + . . . . To evaluate : The sum of the convergent serie...

Q: Graph of f (x) is given on the right. Answer the following questions using the graph. a) lim f (x)= ...

A: according to given figure limx→-2+fx=4limx→-2-fx=4 here, limx→-2+fx=limx→-2-fx=4 so, limx→-2fx=4 and...

Q: I dont know how to do number 6

A: Given, y = 27x + 3 and point =-1, -0.2

Q: number 5

A: The given function is fx=e1-8x. Obtain the derivatives as follows. fx=e1-8x f3=e-23 f'x=-8e1-8x...

Q: Evaluate the integral.

A: To Evaluate: ∫0∞1e7x+e-7xdx Concept: ∫a∞fxdx=limt→∞∫atfxdx

Q: 1. Condense and expand. a) Condense as a single quantity: 1 In(3)+- In(x? +1)-3 In(1+x) 3 b) Expand:...

A: Given, (a) To condense ln3 + 13ln(x2+1) -3ln(1+x) (b) To expand lnx2+1x+2(1+x)5

Q: Consider the function f(x) = -6x2 + 4x - 4. Find the critical point, A of the function. At x = A, do...

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Q: A shipping company will ship a box only if the sum of its length and girth (distance around) does no...

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Q: 5

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Q: dA in terms of. dt dr (a) If A is the area of a circle with radius r and the circle expands as time ...

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Q: Can you show me how you work this problem

A: you can clearly understand if you follow the below solution

Q: Find a formula for the described function. An open rectangular box with volume 6 m has a square base...

A: Given: An open rectangular box with volume 6 m3 has a square base.

Q: Evaluate the definite integral. 3 (8(In x)3 dx 1 8(In x)3 dx = 1 (Round to three decimal places as n...

A: Given: The following definite integral, ∫138lnx3xdx.

Q: Find the cost of an item that was sold for $4230.00 in order to realize a margin of 113% based on co...

A: Given that, Selling price of an item = $4230.00 To find the cost of the item if margin was 113% bas...

Q: 3. Use logarithmic differentiation to find the derivative of the function. (2x – 1) Vx+1 y =

A: giveny=(2x2-1)5x+13taking log on both sidelogy=log(2x2-1)5x+13using log propertylogmn=logm-lognlogmn...

Q: A particle is moving with acceleration a(t) = 18t + 8 82 Its position at time t = 0 seconds is s(0) ...

A: Consider the given acceleration of the moving particle at=18 t+8 First, find the velocity of the pa...