Use the properties of infinite series to evaluate the following series. k 20*30*] Σ + 6 4 5 6 k=1

Q: Find the derivative of the function f(x) = (3x² – 2x³ O f'(x) = (12x³ - 6x²) ³/2 f'(x) = O 3 f'(x)=…

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Q: Solve the following differential equation by using the Laplace transform techniques. d²x +8- dt² dx…

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Q: ind the solution of with y(0) 2 and y/(0) = 5. = = y" + 4y = 96 sin(4t) + 96 cos(4t)

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Q: If g = xy + yz + zx and Ē = x²yī+ y²zī+ z²x k, find F. grad g and cross product of F and grad g at…

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Q: The given family of functions is the general solution of the differential equation on the indicated…

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Q: Find both the vector equation and the parametric equations of the line through (0,0,0) that is…

A: Given that , Point =0,0,0 and parallel line r=3+2t , 7-6t , 5+4t find vector and parametric equation…

Q: Calculate M6 for f(x) = √√2x over [3, 6]. (Use decimal notation. Give your answer to two decimal…

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Q: Enter in form a + bi the complex number z which has an absolute value 2 and argument 2/3 π.

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Q: 5) (10 ptos) Determine los puntos críticos de ƒ(x) = ²x³ + x² – 2 2x

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Q: Use the Product Rule or Quotient Rule to find the derivative. f(z) = (3x-²+5) (-4x−³+4). ○ f'(z) =…

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Q: Consider the basis S = {V₁, V₂] for R2, where v₁ = (1, 1) and v₂ = (1, 0), and let T:R2 R2 be the…

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Q: Find the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the…

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Q: Find an equation for the surface obtained by rotating the line z = 7y about the z-axis.

A: On solving this we will get

Q: The limit is equal to 1312 Select one: O True O False lim n→∞ 3n 2n³ + 1

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Q: 5. Find the specific solution of the differential equation Oy=ex² O y=-1- ²³/2 O y=-ex None of these…

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Q: Find the absolute minimum value of f(x) = 9x² - 5 x + 14 on the interval [0, ∞). Note: You need to…

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Q: Q1. If g = xy - yz - · — zx and F = x²y ī − 2 y²zī – z²x k, find F. grad g and cross product of F…

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Q: Determine the vertical and horizontal asymptote of the graph of the function. h(x)=x-2/2x2+8x+8

A: We can find the vertical and horizontal asymptotes as below.

Q: By using trigonometric substitution, evaluate the following integral IVF x √²+6x+10 dz

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Q: Identify the increasing and decreasing intervals for f(x) = x + 5 X-4'

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Q: II) Let ƒ be the piecewise function f(x) = 2³+ 6x² + 8x x+2 2¹-2, 1-x-2, " x≤-1, x -2 -1 1 1) Sketch…

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Q: A machinist is required to manufacture a circular metal disk with area 934 cm². Give your answers in…

A: Concept: The area of the circular disk is  A=πr2 Where r is the radius of the circular disk The…

Q: Consider the following vector function. 12²) r(t) = (st, 1-², (a) Find the unit tangent and unit…

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Q: b) Find the volume of the solid obtained by rotating the region bounded by the curve y = -x² + 11…

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Q: solve the differential equation dy/dx=2x^4sqrt of y, y.0

A: Solution of given question is written in below steps.

Q: The series is divergent. Select one: O True O False Σn=1 4n³ + 4 5 5 7 n° +1

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Q: The average value of the function f(x) =2x + 6 on the interval [2, 5] is Select one: O True O False…

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Q: Find the mass and center of mass of the lamina bounded by the graphs of the equations for the given…

A: answer is in next step. please give a like !!

Q: (a) Find the volume of the solids generated by revolving the region bounded by the curves y = 4-x²,…

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Q: docs.google.com This option Question * The domain of the function f(x,y)-- x+7-1 D={(x,y) ER² / x² +…

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Q: Q5. Evaluate the triple integral ²³ cos (y²) dz dx dy.

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Q: d² -sin (2x³) = = dx²

A: d2dx2sin2x5=ddxcos2x5· 10x4=10-10x8sin2x5+4x3cos2x5

Q: Calculate the Taylor series for 1/x about 1. O 1+ (x + 1)(x-1) ²+ (x+1) ³-... ○1-(x-1) + (x − 1) ²—…

A: We know Taylor series expansion of 1/(1+x) is given by, 1/(1+x)= (1+x)-1= 1-x+x²-x³+x⁴-....

Q: Maximum Revenue Jesaki Electronics manufactures and sells a smartphones per week. The weekly…

A: NOTE: Refresh your page if you can't see any equations. . the demand and cost functions are where…

Q: After his receiving his first income, Juan dela Cruz invested P20,000 in a bank for his future…

A: Juan Dela Cruz invested P20,000 in a bank for his future family. The annual interest rate in his…

Q: Calculate L6 for f(x) = √√7x + 3 over [1, 3]. (Give your answer to three decimal places.)

A: The given function fx=7x+3 over the interval 1,3 we have to the left Riemann sum using 6…

Q: 1. Use the Ratio Test to determine whether the following series converge. Make sure to explain why.…

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Q: Find the equation of the tangent line to the function f(x) = ln(5x) at x = 8. (Use symbolic notation…

A: We have to find out the equation of tangent

Q: Use sigma notation to write the sum. 4 [G)²-1])+ N" i=1 X [(4)²-“() X

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Q: Question 1 (a) A particle moves according to a law of motion s = f(t), f(t) = t³ - 9t² + 24t, t> 0…

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Q: Determine whether the series +∞o 1 Σκος (7) - co ¹ ( ² ) - COS ¹ (2 + ₁)] \n n=1 converges or…

A: We have to find whether the series converges or diverges.

Q: If f(x) = 4x + 14, find the slope of the secant line between the values of *₁ = 9 and ₂ = 2.

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Q: Identify the function represented by this graph. -5 -4 -3 -2 -1 5 4 3 2 -3 ✔ 1 2 3 4 5 x

A: Topic = Functions

Q: (a) Find the length of the curve y=[^ √√√²-1dt, 1≤x≤ 16.

A: To find the length of the curve.

Q: the magnitude of the equilibrant? pounds to the nearest tenth.) Media - Copyright © 2022 Pearson…

A: Topic:- trigonometry ratios application

Q: When demonstrating that lim suffices? 1 x-1 4x + 4 08= 0.0000025062656641604 OS=0.0000025 08=…

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Q: d the length of the dashed zig-zag path in the following figure. X+ 0.75+ 0.5+ 0.25+ 00.25 0.5 0.75…

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Q: b) […. obtained curve 1: Find the volume of the solid by rotating the region bounded by the y = -x²…

A: Given :y=-x2+9y=x2+1

Q: Prob. 5 (a) () Find all points where f is discontinuous. Classify these points (if any) as removable…

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Q: f(x)=4 sin¹+x+√4x²

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