Express lim Σ n → ∞i=1 3 n ( n 3i + COS 9/² 2 as a definite integral

Q: h(x, y) = x²7xy - y² relative minimum relative maximum saddle point (x, y, z) = (x, y, z) = (x, y,…

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Q: Give the equations of any Vertical Asymptotes of f(x). Also find the equation of the Horizontal or…

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Q: Question 8 Which of these is the volume of the solid of revolution generated by revolving the region…

A: Here we have to find the volume.

Q: (a) f(z)=3z² - 2z+ 4; z-1 (c) f(z) = 2z+1 (z = -1/2); (b) f(z) = (1-4z²)³; (d) f(z) = (1+z²)4 z² (z…

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Q: Given parametric equations and parameter intervals for the motion of a particle in the xy-plane…

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Q: state the domain and range for each of the following:

A: Given set of points S={(-3,-2),(-2,-1),(-1,0),(0,1),(1,2),(2,3),(3,4)} We know that domain is the…

Q: 7. The value of f √x dx 1+√x A. x-2√x + 2 ln (1 + √√x) + C B. x-2√x -2 1n (1 + √√x) + C C. x-2√x+2…

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Q: Find the limit. O 0-00⁰ 05 O 8 0 -15 lim x² + 5x -50 x + 10 X→-10

A: Our Aim is to find the limit of the expression given below:-limx→10 x2+5x-50x+10 -(i)

Q: Let a and b be real numbers. Find all vectors (3,a,b) orthogonal to (6,-8,-7). What are all the…

A: Let a and b be real numbers. To find all vectors 3, a, b orthogonal to 6,-8, -7.

Q: Analyze the continuity of this function. If there are discontinuities, state the type. x² + 2x x≤1…

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Q: A particle moves along a straight path with velocity of v(t) = (4-4t) m/s at time t seconds. What is…

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = √5 -x, 3 ≤ x…

A: We know that surface area obtained by rotating the curve y=f(x) about x axis between x=a & x=b…

Q: Define the points Q(3,2) and R(8,- 10). Carry out the following calculation. Find the unit vector…

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Q: for P.f. 1 D+6D+8 아라 e-24 "2 스라 1 (D-2) ² +6 (0-2) +8 e-라- , Re-4 e-라 D24D+416D-12 +8 4 D212D (나물) t…

A: To find the P.I.

Q: a) b) c) The height of a rock climber thours after she begins her ascent up a mountain is modelled…

A: Average rate of change  of a function f(x) over a interval [a,b] is given by Avg.=f(b)-f(a)b-asee…

Q: #1. Compute the sum, if po 8 n 3 () 5 n=0

A: It's a GP with infinite terms and having common ratio between -1 and 1

Q: 2. Find the volume of the solid formed by revolving the region bounded by the graphs of y = √x and y…

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Q: For the polynomial below, -2 is a zero. f(x)=x² - 4x² - 6x + 12 Express f(x) as a product of linear…

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Q: 1. y" - 2y' - 3y = 5e¹, y(0) = 1, y'(0) = 0 2. y" + 2y + 5y = 3 sin(2x) 3. y" - 4y + 4y = -7x+4x²,…

A: Since you have posted multiple questions. As per guidelines we"ll solve only  first question. If you…

Q: 12) Find the area Under the curve y = e = from X=0 to

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Q: [(8-3sin2x)+ cos2xdx

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Q: Find the equation of the tangent line to the graph f(x)=x^4 +2x^2 -x at x=1. Write your equation in…

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Q: Sketch the graph of the function by first making a table of values. f(x) = −x + 4,    −4 ≤ x ≤ 4 x…

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Q: Find the angle of inclination of the tangent plane to the surface x²-2y² + z = 0 at the point…

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Q: X Find the average value of y= 4 cos on I 2 ST 6

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Q: 3. Find V x F for F(x, y, z)= -x2 i + x² + y² -yz x² + y² =j+√x² + y²k.

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Q: lan on = 2 · (² x ²+) ·cos (nwot) at O = = [² (1-²) 2 17 11 =2 -21- 2² (1-1) Cos (2nπrt) dt 21 t)…

A: I have given the delated solution to get circled part. If you want the final answer, kindly use the…

Q: Question vector equation Let C be a curve defined by the r(t)=. Show that the point P(-5, 11, ½)…

A: Solve the following

Q: Determine the general solution of the given differential equation. y" - y" -y + y = 5e +6 NOTE: Use…

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Q: Determine whether there is a relative maximum, a relative minimum, a saddle point, or insufficient…

A: Here we have to choose the correct option.

Q: c) (n+1)2

A: We will apply Ratio-Test for converge

Q: Hannah can paint a room in 8 hours. Destiny can paint the same room in 10 hours. How long does it…

A: Given that Hannah can paint a room in 8 hours.and Destiny can paint the room in 10 hours.Our Aim is…

Q: A share valued at $263.75 pays quarterly dividends in perpetuity at a rate of return of 5.50%…

A: calculate the end of quarter

Q: 3. Analyze the continuity of this function. If there are discontinuities, state the type. [x² + 2x…

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Q: Find the equation of the line tangent to the graph of f(x) = − sin (x) — 3 at x = 0. (Enter an exact…

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Q: 1) Given f(x) = -6x +5 and g(x) = 2x + 3 b) Find f (f ¹) (2)

A: We need to find f(f-1)(2).

Q: f(x, y) = -(x-7)² In²(y + 4)-(4x + 7y)². Find all the first partial derivatives of a) the function…

A: As per the guidelines of bartleby the first question from multiple questions is answered at a time,…

Q: f(x, y) = -(x-7)² In²(y + 4)-(4x + 7y)². a) Find all the first partial derivatives of the function…

A: As per the guidelines of bartleby the first question from multiple questions is answered at a time,…

Q: Compute for the value of constant (C) by solving the given DE using integrable combination. Let x=1,…

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Q: Use the given transformation to evaluate the integral. 11² 9x² da, where R is the region bounded by…

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Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) z√z…

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Q: Find f(a), f(a + h), and the difference quotient f(a + h) − f(a) h, where h ≠ 0. f(x) =  4x x − 3…

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Q: Find three positive numbers x, y, and z that satisfy the given conditions. The sum is 56 and P =…

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Q: 6. If u = given by x = +2, where x+y+z= 1, prove that the stationary value of u is y b a+b+c' a…

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Q: Evalua COS [cas (VF) ². √t = √t

A: We have to integrate the given trigonometric term.

Q: Does the series (-1)- Σ(-1) 4+² n=1 8 OA. OB. n5 Choose the correct answer below and, if necessary,…

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Q: Find all relative extrema and saddle points of the function. Use the Second Partials Test where…

A: we will use second partial test.

Q: Evaluate the integral using the indicated trigonometric substitution Select the correct answer. 9 1…

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Q: 12. Consider the differential equation: 2a + (b₂+ a(a +1) df dz Z d² f dz² + a(a + 1) √(z) = 0₁ Z a,…

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Q: 1₂ = 2√ x²+) ·cos (nwot) at = [² (-²) 2 O 25+ (1+) Cos (2nrrt) dt = 21- 1² (1-1) Los (n 2πrt) (t-1)…

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