Determine the convergence or divergence of the following series. 1 (a) Σ (Use Integral Test.) n(ln n)4 n=2

Q: A. Use the tabular method to evaluate the following limits. Set three values of x from each side. Ro...

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Q: What is the integrable form of dx? e* – e -> S(u?- 1) -12 du du 2 du

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Q: 9. cosr - e sinxe sinx +x The integral dr may be written as me"sinx + px + qe™+C, where m, n, P, q, ...

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Q: S 10* dx may be written as lsecRx 1 tanR*+ C where A, B, and C are constants not equal to zero. Eval...

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Q: dr? What is the integrable form of et-e A (1-u²) ² du O fa- B 2 du 2 du 2 du 1.

A: Given Problem is solved in attachment.

Q: I. Solve the following: 1. Given: y = 2x - Find: a.) dy/dx b.)y" 2. Given: 16y – 9x? = 144, find y" ...

A: Given  1. y=2x-13+43x-2 if x=22. 3x+4y3=5 If (3,2) To find slope m:

Q: 10. Find, among all right circular cylinders of fixed volume V, the one with smallest surface area (...

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Q: dx Evaluate 3x – 12 O 1 O + 00 8

A: To evaluate the integral.

Q: dx - = In[F(x)]+C.What is F(/3) if C = 0? For (x+x³)(x Tan-'x+ 1) + Sl- SI- STE SE

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

Q: . What is F(/3) if C = 0?

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Q: Given revenue and cost functions R(q)=90q−0.3q2 and C(q)=14q+550​, find the marginal profit at a qua...

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Q: Which of the following is an improper integral? -dr -4 x² – x – 2 In(x++ 1) dr dx 2 2x + 8 In3e COSK...

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Q: cos2r – sin2x cos2r For -dr=-F(x)+C_What is F(x)? cosx – sinx 2 sinx + -cosx +cosx+ =sin³x 3 3 O (cs...

A: We know that,  Int(sinx)=cost Int(cosx)=-sinx

Q: m m n т +n b. E k i) k - i=0

A: Please see the below picture for detailed solution. 

Q: 1280 Consider the function f(x) = 5x + on the interval [6, 17]. Find the absolute extrema for the fu...

A: solution is given below...

Q: 2. Let by = cos and cn = cos for all n e N such that n > 2. Determine whether the given n – 1 series...

A: Using Telescoping series. 

Q: Find the area of the region bounded by the curve y2 = 4x and the lines x = 1 and x = 4

A: We  re asked to find the area of the region.

Q: S What is the integrable form of / sin-cos-sino do? 2 2 (A) 1-u? du B) sinu du -2 V u2-1 du O 2 cosu...

A: We have given integral  I=∫sinθ2cosθ2sinθdθ Using formula  sinθ=sinθ2cosθ2 I=12∫sinθsinθdθ As, sin2θ...

Q: 6. f Vesx + etx dx

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Q: The antiderivative of f(x), denoted by F(x), exhibits an odd symmetry i.e., it satisfies the propert...

A: Follow step 2nd . 

Q: Evaluate the integrals of the functions graphed by using the formulas for areas of triangles and cir...

A: To evaluate the integrals using the formulas for area of triangle and circles. 

Q: The antiderivative of f(x), denoted by Ax), exhibits an odd symmetry i.e., it satisfies the property...

A: We will solve this problem in some steps

Q: The antiderivative of fx), denoted by F(X), exhibits an odd symmetry i.e., it satisfies the property...

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Q: 25. For the function f(x) = 45x3 - 3x5, determine the interval(s) for which f(x) decreases. O (3, 3)...

A: We will solve this question by  differentiating f(x) and then finding the intervals for which the fu...

Q: 6. How do you know if a system has a unique solution? (A) The associated, reduced augmented matrix h...

A: To determine the form of reduced augmented matrix when the system has a unique solution.

Q: asap

A: We have to choose the correct option according to the given information

Q: e* What is the integrable form of dx? B -1/2 D du

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Q: The resulting integral of (0) de has the form F(8) +C. What should be the value of 0 to make F(0) =0...

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Q: Find the dimensions of a rectangular lot with perimeter of 300m and whose area is maximum. Use Opti...

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Q: dx - = In[F(x)]+C•What is F(/3) if C = 0? For (x+x³) (x Tan-lx+1) -1 + - -1

A: Solved below

Q: 2. Find the volume of the solid formed by the region inside the sphere x? + y? + z? = 16 and outside...

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Q: cos2x- sin2x cos2x dx =-F(x)+C: What is F(x)? For cosx-sinx 1 A (sinx- cosx -3 sinx + -cosx+ cosx+ -...

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Q: Suppose that replacement times for washing machines are normally distributed with a mean of 8.6 year...

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Q: If F(X) is an antiderivative of x2 +x', then what is the value of F(1) - F-1)? (А) -2 В) -1 D) з

A: Given: F(x)=∫x-2+x-1dx So, by the Fundamenetal theorem of calculuas: F(1)-F(-1)=∫-11x-2+x-1dx Now, i...

Q: 10. a d The general antiderivative of (3x2 – 4) 2x2 can be written as -x" -x" + x" + C. What is the ...

A: On solving this we will get

Q: dr = b(cos Odr +r sin Ode) Ans. r = c(1-bcos 0)

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Q: 4. Determine the directional derivatives of $(x, y) = tan"2+3 sin ). at the point (1,1) in the direc...

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Q: 1. Complete the following tables of values to investigate lim(x² – 2x + 4). f(x) f(x) 1.6 0.5 1.35 0...

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: dx For -= In(F (x))+C. What is F (/3) if C=0? (x+x³) (xtan-(x)+1) -1 + - 3 1 + -1 + -

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Q: Find the area of the region bounded by the curve y=1. and the x-axis.

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Q: d?y =6-9x and which passes through the points (0, -1) and (2, 3). Find the equation of the curve for...

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Q: eIn (ale) (2- sec2x)em«"^sec³x sec( 3A – x) What should be the value of A for to be integrable using...

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Q: Question 13 S. sin (e) do has the form --F (0) +C. The resulting integral of -F(0) +C. What should b...

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Q: Find all critical points of the function f(x) = x-15 – x-16. (Use symbolic notation and fractions wh...

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Q: What is the integrable form of sin-cos- sin0 do?

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask th...

Q: 10* -dx may be written as Aln secB*+ tanB*|+ C, where A, B, and C are constants not equal to zero. E...

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Q: Evaluate the flux integral F.S S where S is the surface given by 22 = x? + y?, 0 < z< 4, oriented up...

A: We have to find the flux integral according to the given information

Q: Question 12 If F(x) is an antiderivative of x2 +x1, then what is the value of F(1) - F(-1)? O-1 3

A: If Fx is an antiderivative of x-2+x-1, then to determine the value of F1-F-1.    

Q: Make a problem solving question with full solution regarding area of circle. Include a graph and dia...

A: We will take a problem

Q: A company produces a special new type of TV. The company has fixed costs of ​$476,000​, and it costs...

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