Evaluate the definite integral. 1 Г хзе-ха dx 0 Need Help? PRENT

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) I sint sin(t)√1 + cos(t)…

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Q: (x - 2y - 1) dy = (2x - 4y - 5) dx

A: Solution:x-2y-1dy=2x-4y-5dxdydx=2x-4y-5x-2y-1dydx=2x-2y-1-52+1x-2y-1dydx=2x-2y-1-32x-2y-1let,x-2y-1=…

Q: y = 2x2 + 9; (a) x = -1 (b) x = 0 (c) x = 1 dx dt of the given function at the rate dx/dt. Find…

A: We have to find out the derivative

Q: The letters r and 0 represent polar coordinates. Write the given equation using rectangular coordin…

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Q: Find the derivative of ƒ (x) = 8ª ln (x).

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Q: An inner-city revitalization zone is a rectangle that is twice as long as it is wide. The width of…

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Q: The dot product of vectors p = (3, -5) and q = (15,9) is A/

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Q: The function f(x) = 2x³ − 42x² + 270x – 4 has two critical numbers. The smaller one is x = and the…

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Q: Calculate the centroid coordinates of quarter circle (x² + y² = a*) in the quadrant, use Cartesian…

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Q: Let f(x)=x²-4x²+3x and g(x)=4x+3 then find the product. Discuss the steps

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Q: Explain the process and strategies you would use to determine the derivative of y=tanx. Note that…

A: Break the tanx into Sinx/Cosx

Q: A payment of $750 is due in 3 years, and $5,100 is due in 5 years. What single payment made today…

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Q: Problem. Compute the general solution of the following 3 x 3 linear system: -2 3 dY 3-2 1 Y, where Y…

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Q: (4x-2)dx x³-X² - 2x

A: We have to evaluate ∫4x-2 dxx3-x2-2x.

Q: Find the second derivative of f(x) = 9 sin (2x). Enclose arguments of functions in parentheses. For…

A: On solving this we will get

Q: f(x) = (6x² - 2x+1)^

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Q: 18dx ·S (4x² +9) 19.

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Q: A payment of $700 is due in 3 years, and $5,000 is due in 5 years. What single payment made today…

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

Q: Use Cartesian coordinates to set up the iterated double integral given by III ² av dV D where D is…

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Q: 332. f(x, y) = x² + y-e³

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Q: Ashley heard that he could triple his money in 12 years if he invested it in a large…

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Q: 6. dx 13+4x- ?ܢ

A: A detailed solution is given below.

Q: Given compute the following integral. [ f(x) dx = -9 and 1.° 8f f(x) dx = -8, в' 8f(x) dx

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Q: An inner-city revitalization zone is a rectangle that is twice as long as it is wide. The width of…

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Q: 15. [sec xdx

A: Trigonometric Identity: sec2x=1+tan2x

Q: EXAMPLE 6 Evaluate lim x In(x³). x →0+ SOLUTION The given limit is indeterminate because, as x→ 0+,…

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Q: Given cost and price (demand) functions and C(q) = 115q + 43000 and p(q) = -2.3q + 900, what price…

A: We have, Marginal profit (MF) = Marginal Revenue (MR) - Marginal Cost(MC)

Q: f cos4x dx

A: According to guidelines, we must answer only one of the multiple questions given.So I answered only…

Q: Suppose that an accelerating car goes from 0 mph to 58.6 mph in five seconds. Its velocity is given…

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Q: 3 | co - 4. Find the length of the curve y = 7(6+ x)2 from x = 189 to x = 875.

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Q: (a) An archaeological artifact is found to have 45% of its original carbon-14. How old is the…

A: Decay and half life

Q: Gi‎ven: ∫ 40∫ 4−z0∫ 2√y f (x, y, z) dx dy dz a. Sk‎etch the so‎lid of integr‎ation of the give‎n…

A: Let's solve.  1.   Sketch the solid.

Q: (x - 8)dx x (x + 5)² X

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Q: 9. 2x-1 (x+1)(x-2)² -dx

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Q: The function f(x) 2x³ 33x² + 108x - 6 has two critical numbers. = The smaller one is x = and the…

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Q: Determine the values of a where the function f (x) is not continuous. Label each discontinuity as…

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Q: 1. Evaluate a) for²dr, 2. Evaluate fr+7r² dr. 3. Evaluate a) fe²dr, r/2 4. Find sin rdr. b) dr, c)…

A: 1. evaluate  a) ∫01x2dx = [x3/3]01 = 1/3   b) ∫231/x2dx [-1/x]23 = -1/3 +1/2 = 1/6   c) ∫12x2dx =…

Q: дz For z = x² + xy³; x = uv² + w², y = u + vew, find when u = 2, v = 1, and w=0 dv

A: Let's solve given derivative functions.

Q: If f"(x) < 0 at x = c, f(x) at x = c is

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Q: Consider the following families of sets indexed by the set of natural numbers. i which among these…

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Q: 2. Let f(x) = 3 cos 2x + sinx. a) b) Show that f'(x) = -5 sin 2x. π 3π In the interval <x< one…

A: We need to find derivative and normal.

Q: •uy uz [T dx dz dy 1x represents the volume of the region in the first octant that is inside the…

A: Use triple integral concept

Q: 12 [ sin* ‡nxdx

A: We can find the answer as below

Q: Q1: Find the area of the region that lies in the first quadrant under the curve √x + √y = 1. (Draw…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Find a potential function f for the field F = e²y + 52 (2 i + 4x j + 10x k). A general expression…

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Q: 3. If ƒ(x) = log₂(−(x − 6)) and g(x) = √(x + ²) a) Determine the domain of g(x) + f(x) b) Is there a…

A: We want to find domain of g+f

Q: 7. √16-e2x e* -dx

A: We can solve the integration as below.

Q: Question 12 ( What is the function of cos that has an amplitude of 4 a period of at (0,2)? and has a…

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Q: Q1/B) Find the length of the cardioid curve: r = 1+ cose

A: A detailed solution is given below.

Q: 2. A lifeguard standing at the water's edge sees a man flailing out in the water. She runs along the…

A: This question can be solved using the concept of trigonometry.