3.S(1 + e2x)5e2x dx

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Q: Problem #7: Use the chain rule to find the value of dz when t 5. = 2 4x2- 5y, x = 2+5, y = 3t– 4

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Q: Calculate Hhe fourier coeffrecents Of the fancdion fR) over the nderval -スと×L2 here: Fx)=(0,-2くメCー…

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Q: (a) For f(x) > 0 and differentiable on [a, b], show th = In(f(x)) is given by F(x))² + (f"(x))² L =…

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Q: Find the indefinite integral. (Use C for the constant of integration.) cos. de e2

A: We will find the indefinite integral as following.

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

A: Let,  f(x,y,z)=x2+y2+z2 & g(x,y,z)=x+y+x-27=0...(1) Let, λ be a Lagrange's multiplier such that:…

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Q: I Evaluate the following expressions by basic integration: dx 2. ,(x + 3)(x – 4)dx

A: Given

Q: 3. 19 Find f(5x + 4)dx if f(x)dx = 2. 9.

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Q: Determine the diameter of a closed cylindrical tank having a volume of 11.3 m topbtain a minimum…

A: We will use the concept of critical points to get the diameter

Q: 8 7 6 5 4 3 2 1 -8 -7 -6 -5 -4 -3 -2 4 1 2 3 4 6. 7 8 -3 -7 -8 flx) = This graph represents the…

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Q: _1. Which is the process of using implicit differentiation? A. Derive with respect to x, derive with…

A: Given: Which is the process of using implicit differentiation?

Q: (v®) do 1 sec J2

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Q: Determine the limit of the sequence or show that the sequence diverges by using the appropriate…

A: We can solve this as follows:

Q: Find the indefinite integral and check the result by differentiation. dt F--3-3)- 8. 12

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Q: Write a definite integral that yields the area of the region. (Do not evaluate the integral.) f(x) =…

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Q: Consider the following planes. -5x + y + z = 5 20x - 4y + 5z = 25 (a) Find the angle between the two…

A: Consider the following planes -5x+y+z=520x-4y+5z=25a To find the angle between the two planes.b To…

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A: Velocity and acceleration

Q: 14 Approximate (x - 5) dx using 4 rectangles. It is approximatiey. (If necessary, round to two…

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Q: Using the theorem on determinants, show that a² |1 A = а b b2 (b – a)(c – a)(c – b) 1 c2

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Q: Juanita wishes to have a rectangular garden in her backyard with an area of 100 ft2. Find the…

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Q: 1+ cos(t) 1 – sin(t) 2t) (n) y(t): (o) y(t) = In(5tª + 3t2 + 1) (p) y(t) = t° + T' + e™

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

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Q: Find the exact length of the curve. 1 y = 1 <x < 3 4x

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Q: 4. Determine the phase shift and the vertical displacement with respect to y = sin x for each…

A: Given problem:-

Q: 2:07 AM Tue Apr 5 AA www-awu.aleks.com ALEKS - Emil... Crunchyroll .. TAL. Polk K12 Session Can.. O…

A: We know surface area of a cylinder with a base  radius of r unit and height h unit= 2πrr+h unit2.

Q: 5. Which of the following statements is NOT true? A. The exponential function y = a*,a> 0 is…

A: Check the continuity of function.

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A: Given line, x-14=y2=z-36And given plane3x+4y=-7Any  point on the line isx-14=y2=z-36=tx-1=4t,y=2t,…

Q: k2020k Consider the series > ak = k!. k-1 k=1 a) What is ak+1? ak-1 aktl? b) What is ak ak-1/a ak+1…

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Q: Consider the function 1 1- x4 Write a partial sum for the power series which represents this…

A: Consider the function

Q: 4 s cot?x csc'x dx CSC X

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Q: Solve for the indefinite integral of the given. Upload your solution before moving on to the Type N…

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Q: Canada, the total for any store purchase paid in cash is rounded to the nearest 5 cents, where no…

A: Given query is to find the absolute error.

Q: 9 checik whether the following statemects are true or False. lif En an is conditionally convergent,…

A: For (i), Let us take an=(-1)nn. So, the series ∑n=1∞an is conditionally convergent but ∑n=1∞an is…

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Q: (1+ ye" + xye²)dx + (xe² + 2)dy = 0 C = xye – 2Y – x None of the choices Option 4 C = xye" + 2y – x…

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Q: (a) Find the dimensions of a box with a square base with volume 27 and the minimal surface area.…

A: This is an optimisation problem, we use derivatives to find critical points and use second…

Q: Find the equation of the tangent line to the curve y = 6 sec z – 12 cos z at the point 6). The…

A: y'=secx-12cosx' =secxtanx+12sinx Slope = secπ3tanπ3+12sinπ3=83. So, we have possible equation of…

Q: Determine the limit of the sequence or show that the sequence diverges by using the appropriate…

A: an=7n2+n+24n2-3limn→∞an=limn→∞7n2+n+24n2-3           =∞∞(indeterminate form)…

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Q: sin 2ax Given ſ cos? (ax)dx : Calculate the following definite integral f cos2 (0.5x)dx. 2 4а

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Q: 1. y = 5sin 3x*

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Q: Find the dimensions of the rectangle of maximum area that can be inscribed in a right triangle with…

A: A rectangle is inscribed in a right triangle. The base of the triangle is a=12 inches and height of…

Q: (* + 2)(r – 8) f(x)=- 6)(s + 4) x =-6, x= 4 h(x)3=

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Use the Ratio Test to determine whether the series is convergent or divergent. (2n)! 16. У (n!)? 00…

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Q: Find a particular solution to the nonhomogeneous equation corresponding to the given initial…

A: Find a particular solution to the nonhomogeneous equation corresponding to the given initial…

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Q: Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not…

A: We have to find perpendicular vector to the given vector.

Q: II. Find the first derivative of the given function. tan 2x 6. у %3 1-cot 2x

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Q: The value of investments in the stock market change daily.  Suppose you buy a stock for $4,437.  It…

A: percentage