7 > k(2k + 1) с. k=1 7 2 7 k3 d. 4 k=1 k е. k=1

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Q: Determine f'(1) if f (t) = log10,ti t+1 17 Your anSwer

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Q: Suppose f " is continuous on (-o, o). (a) If f '(-3) = 0 and f "(-3) = -9, what can you say about f ...

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Q: Calculate the volume of the solid produced by rotating the region enclosed by about x - 4x – 4y + 4 ...

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Q: Use implicit differentiation to find dy/dx: 620+y + eª arcsin y = In(y³) +x – 3 cot(x³ + y

A: We will find the implicit differentiation. 

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Q: S- dx = In]x| – e* + C 5. S 2²+3*dx = 4| + C In 8

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Q: You deposit $2000 in an account earning 5% interest compounded continuously. How much will you have ...

A: topic - exponential function

Q: Find the area of the region bounded by y = x2+ 2x – 1, y =÷+x-÷, x = -3, x = 1.

A: Find your answer below 

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Q: Find the equation of the tangent line to the curve y = x² – 5 if the tangent lir is parallel to the ...

A: we know that if two lines are parallel then their slopes are equalGiven that the tangent line is par...

Q: Find the relative extreme of the function f (x) 12+2x+2 and where they occur.

A: Given: - The function is, f(x)=x+1x2+2x+2 To find: - The relative extreme of the given function.

Q: Evaluate: " sin7 cos4 dx

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Q: Using Pappus theorem, find the volume formed by revolving about the x- axis the area bounded in the ...

A: 2cy-x2=0 and x2-4cy=-c2To Find: Volume formed by revolving the x axis and the area between the parab...

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Q: Solve the problem. A company knows that the unit cost C and the unit revenue R from the production a...

A: To find the rate of change of unit revenue, We will differentiate the given relation formula with re...

Q: (a) -r -8x – 15 5(x³ – x) > 5(x³ – r)

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Q: -1 2. cos

A: 2.cos-1-12

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Q: Find the volume of the solid generated bounded by x = Jy – 1, x = y? – 2y + 1, rotated about the x- ...

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Q: Find the points on the graph of f(x) = where the tangent line is horizontal. x2+2

A: Given query is to find the points where tangent is horizontal.

Q: Suppose that f(x, y) = 6x + 8y and the region D is given by {(x, y) | – 5 < I < 3, – 5 < y < 3}. D T...

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Q: An object moves along a horizontal coordinate line such that its directed distance from the origin a...

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Q: Evaluate: " sin' (;) 4 .2

A: Evaluate :     ∫0πsin7x2cos4x2dx

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Q: Match the integral expression on the left to an equal expression on the right. (cos(x)- Prompts Subm...

A: I am attaching image so that you understand each and every step.

Q: 1 dx (2x + 1)4

A: We will use concept of improper integral here. 

Q: Stan"(w}sec°(w)ax u )کب + 27 + ه-)J ب)ا 20 - )J No appropriate Match au)کی - 207 - ه-)J du )قی + 27 ...

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Q: In (x + 3* V-1) Differentiate: h(x) %3D Differentiate g(x) = 3x+2 Use logarithmic differentiation to...

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A: Given query is to find the area of the trapezoid.

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Q: Use any method to determine whether the series converges or diverges. 00 1 Σ 2 + 7-k k=1 O The serie...

A: Given query is to find series converges or diverges.

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Q: Use the trapezoidal rule with n = 8 to approximate %3D cos(x) Keep at least 2 decimal places accurac...

A: We have to find the value of the integral∫16cosxxdx using trapezoidal rule with n=8. From trapezoida...