1. The integral of 34 dx is equal to: A. 4/1n3+ C C. 34/1n81 + C B. 34/1n27 + C D. 34/1n12 + C

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: Q2: Find the for the following functions: dy dx 1. y = 1- and t = 1/ 2. y [In(x² + 2)²1³ 3. y = xsex

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Q: 2x-1

A: Follow the procedure given below.

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Q: What value(s) of 6 are an appropriate choice when proving the following limit? lim (x² + 5x) = −4…

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Q: U (d) Let t ==; V at u = x² - y², v = 4xy³. Find- and Əx dy

A: According to our guideline we can only answer first question and rest can be reposted.

Q: (3) dx x 1+√x

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Q: Question 6 af Given f = esec (#) -ya+y, find dy (#) sec² (=) ye NO -y+In (y)

A: Given :f=esecxy-yx+y

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A: Given :limx→05x

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Q: Find the area of the sector of a circle with diameter 32 feet and an angle of 57 8 Round your answer…

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Q: M 10. Integrate f x² ln x dx Oxln x³ + +C Onx-x³ + C Onx²-x³ + C Onx-x³ + C

A: Integrate ∫x2lnxdx=?

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Q: Write an equation of the line that passes through (-5,1) and is parallel to the line defined by…

A: The line passes through -5,1 and parallel to the line defined by 5x+y=2

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A: Concept: Midpoint theorem of the triangle: According to the midpoint theorem, "the line segment in a…

Q: 20.21. Suppose that the sequence (X) is fundamental in probability in the sense that for e positive…

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Q: Find the solution of the differential equation that satisfies the given initial condition. 2t +…

A: The given differential equation is dudt=2t+sec2(t)2u⇒2u du=2t+sec2(t) dt ..................... (1)

Q: A 10 lb weight is lifted vertically 3 ft. Calculate the work done.

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Q: Find the general solution of the following equations: a.(d^3y/dx^3)−2(?^2y/dx^2)−3(dy/dx)=0…

A: We need to solve D.E.

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

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Q: 1. xex² dx ·6². 2.52²dx answer: answer:

A: ∫01xex2dxSubstitute u=x2→dudx=2x→dx=12xdu=12∫euduWe know that ∫audu=auln(a)=euPlug in the solved…

Q: The equation of the tangent line to the graph of e+√√2 cos x-2=0 at x = 45 is

A: Given ey+2cosx-2=0 at x=45To find equation of tangent line.

Q: x² + 10 x3 + 3x² + 3x + 1 dx

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

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Q: Q4: Draw and Integrate the function f(x, y) = (xy) over the region bounded by the curve x = y² and…

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Q: f(x) = f ¹n (x X dx a = 2, b=4

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: Express the given quantity in the form a + ib. sinh 8 + )

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Q: 1. Find the arc length of the curve f(x) = 3 4 (x + 2)2 on the interval [0, 4]. 3

A: Find the arc length

Q: Problems bany CARRAS stalwin A داراه rablare, ww.ap. Problem 9 rober 19 graphy belowy is lustrated…

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Q: What is the exact value of tan 0-√3 0-1 01 0 √3 16л 3

A: we have to find the exact value of tan(16π/3)

Q: (c) Find the polar coordinates of the point P whose rectangular coordinates are (2,-6).

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Q: The production costs per week for producing xx widgets is given by, C(x) = 500+350x-0.09x² 0≤x≤1000…

A: Please follow the next step.

Q: Use basic identities to simplify sin³ x + cos² x sin c. Enclose arguments of functions in…

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Q: 4 3 2 1 -4 -3 3 4 --x-- -2 -3 -5+ In the above graph of y = f( x ), find the slope of the secant…

A: In the given graph of y=fx, to find the slope of the secant line through the points -3, f-3 and 1,…

Q: Use the compound-interest formula to find the account balance A, where P is principal, r is interest…

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Q: You plan to invest in an account which pays 5.5​% compounded continuously. If the investment period…

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Q: Show the 2 SOLUTIONS using Simpson and Trapezoidal's Rule. Thanks

A: Given

Q: 22 [x + 1 x - 11 -1 5. Let A = |x-1 5 7 -X does not have the inverse. find the value of x that make…

A: Given A=x+12x-1x-12-157-x that A is not invertible, Therefore det(A)=0

Q: Find the value (1) lim (x,y)-(2-3) (3) lim (xy)-(11) √x-√√y of the following limits: x²-2xy + y²…

A: As per the instruction, post the question again for question (5). For (1),    limx, y→2,…

Q: 1. Evaluate the following integrals: dx -x² + 4x - 3 f) . dx (x - 2)√x² - 4x +3 S

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Q: 1.5 1 R₂ 0.5 0 y = 1 x = y³ y =√x x = 1 X 0 0.5 1 R₁ is the region bounded by the curves x = y³ and…

A: Given problem:- R₁ is the region bounded by the curves x = y3 and y = √x   R2 is the region bounded…

Q: IV. Implicit differentiation 114 4. x³y + xy² = 3 and x = 1, find y' and y²

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Q: 5- Find the volume of the box (parallelepiped) determined by the vectors 0 = (0,0,0), B = (1,1,2)…

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Q: If f(x) = 5x6 - 2x² then [f(x)dx=

A: The given function is: f(x)=5x6-2x4

Q: 5) Determine the equation of the tangent to the curve y = √3x² - 2x at x=1.

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Q: 3. "sin 2x dx [²sti answer: dx answer: 2+4

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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: The production costs per day for some widget is given by, C(x) = 2500-10x-0.01x²+0.0002x³ What is…

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Q: 3. (x²+x+4) dx

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Q: Use the given information to find the unknown value. y varies inversely with the cube of r. When -…

A: y varies inversely with the cube of x. When x=5 then y=1.