What is the first derivative of s(x) = logs xsin x 7x²+8x+2

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Q: D ▶Region D is bounded by y=x² and y=x. Draw the region. Set up the integral xdA in two different…

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Q: Combine the integrals into one integral, then evaluate the integral. 5 la-sa-fa-sa (7x-2) dx +6J (x…

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A: The unit tangent vector:The principal unit normal vector:

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A: The given graphs f and f' are shown the domain (-8,1)

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A: Determine Δx and the midpoints of the subintervals1≤x≤15;n=5

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Q: Values of f(x) at selected values of x are shown in the table. X 2.75 2.9 2.99 3.01 3.1 3.25 f(x)…

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Q: x² + x¹y³ = -3

A: x2+x4y3=−3ddx(x2+x4y3)=ddx(−3)Using the power Ruleddxxn=nxn−1

Q: Evaluate x dS, where S is the part of S the plane 2x+y+z=4 in the first octant.

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Q: An open-top box is to be constructed from a 4 in by 16 in rectangular sheet of tin by cutting out…

A: An open top box is to be constructed from a 4 in by 16 in rectangular sheet of tin by cutting out…

Q: Vrite an equation for the hyperbola shown in the graph. The equation for the hyperbola above is=1.…

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Q: Use implicit differentiation to find dy/dx. 9. (3xy + 7)² = 6y

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Q: Find the point on the line 3x + 7y+ 6 = 0 which is closest to the point (-4,-3). )

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Q: For Question 5, region W is bounded by f(x) = 4+√9-x², g(x) = cos 7 104 9 8 7 6 5 4 3 2 1 + + + -3…

A: Region W is bounded by f(x)=4+9−x2,g(x)=cos⁡(π6x),x=0, and x=3 Area =∫03[f(x)−g(x)]dx

Q: 29. a(t) = -32; v(0) = 70; s(0) = 10 30. a(t) = -32; v(0) = 50; s(0) = 0 31. a(t) = -9.8; v(0)=20;…

A: 29) a(t)=-32, v(0)=70, s(0)=1031) a(t)=-9.8, v(0)=20, s(0)=0

Q: Question For which value(s) of x does f (x) = 16x³ - 4x² + 6x - 13 have a tangent line of slope 5?…

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Q: Given f(x)dx= 3 and 3 } pixkidk g(x)dx= -1, find 3 158x [5f(x)-2g(x)]dx. ...

A: Integral f(x) is equal to 3 limit from 3 to 12.Integral g(x) is equal to -1 limit from 3 to 12.

Q: 3. Is there a relation between the domain of a function and its interval of convergence?

A: From the given statement

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Q: d) F(x)= [√e² +e™² dt 2x

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Q: Let F(z) = ™* sin(6t²) dt. S Find the MacLaurin polynomial of degree 7 for F(x). 2x3 -x7 36 7 Use…

A: F(x)=

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Q: Determine the resulting definite integral after making the following substitution: Se dx where u=lnx…

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Q: If f'(x) = 5x4, what is f(x)? (Remember the constant of integration.) f(x) =

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Q: The total revenue from the sale of x stereos is given by R(x)= 3,000| 1- sale of x stereos, R(x). O…

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Q: jane is 2mi offshore in a boat and wishes to reach a coastal village 6mi down a straight shoreline…

A: jane is 2mi offshore in a boat and wishes to reach a coastal village 6mi down a straight shoreline…

Q: 2) Find the first derivative given that f(x)= 5x √2x+3

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Q: Region R is bounded by the graphs of y=e2x + 1, y = 0, x = 0, andx = 2

A: Region R is bounded by the graphs of y=e2x+1,y=0,x=0, and x=2

Q: b(x) = √√√x Answer O 21 2√2|x| t(x) = 2x

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Q: Find all vectors u that satisfy the equation (1,1,1) xu= (-6,1,5). Select the correct choice below…

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Q: Let f (x) = √√√x + 4 and g(x) = ex² + 5, then Select one: a. b. O c. O g•f = √ex² +5+4 8. 8 · f = √…

A: 1). 2).

Q: 2. Find the Maclaurin series of the following functions. 1. f (x) = xm 1-x³9 2. f (x) = x² sin² (4x)…

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Q: Let u(t) = 4t³i + (t² − 1 )j – 3k and v(t) = e¹i+ 9e¯¹j- et k. Compute the derivative of the…

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Q: Trust Fund A deposit of $15,000 is made in a trust fund that pays 8% interest, compounded…

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Q: Question Given the graph of f (x) below, what is the open interval(s) over which f'(x) is positive?…

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Q: o. A 3.9 m ladder is leaning against a house when its base starts to slide away (see accompanying…

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Q: Calculate af Әх af ду af ?х af ду af af af ах ду' Әх -f (1, f(x, y) = ex + y (1, -1) (1, -1) = = = =…

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Q: If F(u, v) = u³ ln(2v) and u = x - 2y, v = " y compute 8² F Әхду

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Q: Given that 3 L³ex ex dx = e³ - e, use this result to evaluate [²³3 3ex + 2 dx.

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Q: If the marginal revenue (in dollars per unit) for a month is given by MR = -0.3x + 400, what is the…

A: If the marginal revenue (in dollars per unit) for a month is given by To find the total revenue from…

Q: 7. Evaluate cln 8 √th 0 [² Sin pln(2y) In y e+y²-drdydz.

A: To evaluate the following integral.

Q: Find af ах af ду af дz Әх af af af af and I Әх ду дz Find their values at (0, -1, 1) if possible.…

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