1. lim 3 2. lim 57 3. lim log r

Q: Use polar coordinates to find the volume of the given solid. Above the cone z = (x2+y2)1/2 and belo...

A: We have to determine volumes of given solid

Q: 4. S sec*(8)dx

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Q: Find the differential dy of the given function. y = arctan(x - 2) dy dx

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Q: 2. Show that the equation 2x + cosx 0 has exactly one real root.

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Q: Answer the following True or False: If an ice skater is skating directly away from a 3 meter tall la...

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Q: x5 dx 3 (36x2 + 1)7

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

Q: Evaluate the following using trigonometric substitution: Vx2 - 4 dx

A: Find your answer below 

Q: 5x3 dx. Consider the integral 4x4 +2 (a) Which of the following statements best describe the given i...

A: For part (a), option (b) is correct answer. For part (b), the given integral is Divergent.

Q: If f'(x) = 12r + 3z² and f(1) = 7, find f(x) . f(x) =

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Q: Evaluate the limit of the function f(x) = 8r as x approaches T. A. T В. 8 C. 8T D. 0 E. None of thes...

A: The given function fx=8π

Q: fV5+ 4x – x² dx

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Q: Find the indefinite integral using a table of integration formulas. 2) SV25X2 + 100 dx

A: Given: - The indefinite integral is, ∫25x2+100dx To find: - The solution of the given indefinite int...

Q: Consider the following. u = -9i - 4j - 2k, v = 2j + 2k (a) Find the projection of u onto v. (b) Find...

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Q: A 13-foot ladder is placed against a vertical wall. Suppose the bottom of the ladder slides av wall?...

A: length of ladder l=13 ft Let x be the horizontal distance from the wall to the bottom of the ladder....

Q: Find the points of discontinuity for 3(x+2)2 x3 + 4x2 + x – 6 a) h(x) = 6х— х2 b) f(x) = 9 – x2

A: we will find domain in second question and then find discontinuos  point.

Q: (D³ – Dª + 4D³ – 4D²) y = 32 cos (2æ) – 20e-

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Q: Sketch. the.region.cf.integratizin.and.evaluabe. thaw .. fallowing. integrals a ..... in2 Ins 2X-년 A...

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Q: MY NOTES Find the volume V of the solid obtained by rotating the region bounded by the given curves ...

A: Topic = Volume

Q: 4. Sketch a graph (different for each) that satisfies the given conditions: a) f'(x) 0 if x -2 (x ...

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Q: Consider the function f (x) = re. Answer each question, showing your work. A. Using derivative analy...

A: Explained below 

Q: Find the lim(-). 4 x→2x-2 x2-4 3/4 None of these O 1/4 O undefined

A: We have find lim above question 

Q: 00 Σ The population of a country dropped from 51.6 million in 1995 to 45.5 million in 2009 Assume th...

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Q: (1+ cot x) dx Evaluate: sin?x/9- cot?x cotx (А) - sin +C 3 9- cot?x – sin cotx + 9- В - cotx + C - -...

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Q: +o0 Consider the power series (* – 1)" log n n=2 (a) Show that the resulting series when x = 0 is co...

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Q: age 25​, someone sets up an IRA​ (individual retirement​ account) with an APR of 4​%. At the end of ...

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Q: Find fx, fy, and fz. f(x, y, z) = In (xy) Z fx = z ln: fy=z In :f, = In (xy) fx :수:fz= In (xy) fx fy...

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Q: f(x) = 6x/(1 + x²)², [0, 2] %3D (a) Find the average value fave of f on the given interval. fave = (...

A: Question- f(x) = 6x/(1+x²)², [0, 2]   (a) Find the average value (fave ) of f on the given interval....

Q: For the following geometric sequence find the recursive formula and the 6th term in the sequence. {...

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. ...

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Q: Find k such that the function is a probability density function over the given interval. Then write ...

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Q: 2. S sin° () dx

A: Integration

Q: 8. 4dx + (x- y + 2)'dy = 0 (2--2

A: Note: According to our expert guidelines only one individual question is to be answered kindly repos...

Q: 1 SC — х - —dx 2 csc - xdx= rdx32 2 2 A) True B) False

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

A: We have to find w vector for given condation.

Q: 15.

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Q: Question 4 Find all the local maxima, local minima, and saddle points of the function. f(x, v) = 36x...

A: Let us consider a function f(x,y) . To get the critical point of f(x,y) we put ∂f∂x=∂f∂y=0 Let (a,b)...

Q: |e2 sin²(e2«) cos(e24) dx. we let u =e2* To evaluate А) True B False

A: Given:       ∫e2xsin2(e2x)cos(e2x)dx      let u=e2x→du=2e2xdx           =∫sin2ucosu2du            =1...

Q: Find the root mean square of y=1/x in the interval [1,3]. Round to the nearest hundredth. RMS

A: Given query is to find RMS.

Q: Find the point of intersection of the line through (1, -3, 1) and (3, -10, 5), and the plane given b...

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Q: Use the information to find and compare Ay and dy. (Round your answers to four decimal places.) y = ...

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Q: Determine whether the series converges or diverges. +00 2n + 2 Vn3 + n2 + n n=1

A: Given query is to find series converges or diverges

Q: 1 is divergent. all n, then n=1

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Q: Find the point on the graph of the function that is closest to the given point. (х) 3 (x - 1)2, (-5,...

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Q: dt Which of the following is one of the correct steps to evaluate ? 4e'+e 4dt 4e'+e- 2e"dt B В 21 4e...

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Q: Find the directional derivative of the fellowing functions at Point Po in direction of the Vector à ...

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Q: Which of the following expressions gives the length of the curve y = e3« from æ = -1 to x = 2? • 2 |...

A: length of curve expression is written as.. ∫ab1 + (y')2dx so here y' = 3e3x ∫-121 + (3e3x)2dx ∫-121 ...

Q: 3. Evalnate. the. fallowing.denble.integrals..by.convecking.bo. Can polar.Caa.r.dinates. ... 2 2 I-x...

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Q: f(x) : 1

A: The given function f(x)=1x2

Q: Evaluate the following using trigonometric substitution: dx Vx2 + 2x – 15

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Q: Suppose that Po is invested in a savings account in which interest is compounded continuously at 6.5...

A: The balance P (in $) grows at a rate (per year) is given by, dPdt=0.065P(t) ............. (1)