(a) Find the integral of 6.x8 √21° +7 dx. **IDENTIA YAMIMATIO

Q: sec 3 x tan x (sec ³x sec³x secrx S see of secxu S u ли secx u du dx let a = tan x du = sec² x dx…

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Q: Find the solution of the following initial value problem. 100y" - y=0 y(-10) = 1, y'(-10) = -1 y(t)…

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Q: Given that ∞ Σ n=0 x = 1 to x = - X ∞ n=0 Identify its interval of convergence. The series is…

A: Here, we know that the power series of 11-x is: 11-x=∑n=0∞xn...(1)

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Q: Find the curvature K of the curve. r(t) = et cos(t)i + et sin(t)j + et k

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Q: Your college newspaper, The Collegiate Times, has fixed production costs of $7000 per edition, and…

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Q: In Problems 67-72, find the absolute maximum and minimum, if either exists, for each function on the…

A: See this solution in below

Q: : Evaluate the integral: √2 3y 8-x²-y² 1. JIJ 00x²+3y² dzdxdy

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Q: Solve the system of equations by any method. 2x+8y=18 x 4y=-9 Enter the exact answer as an ordered…

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Q: Q2 a) Find the derivative using logarithmic differentiation. x³(2x - 1) (5r+1)7(r+1)

A: topic- derivative of a function Note: As per bartleby guidelines, we are supposed to solve only…

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A: This question is based on conversion of polar to rectangular form.

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A: Follow the procedure given below.

Q: Q1) Find the derivative a) f(x) = arctan (e-2x) b) f(x) = [arcsin (2²)]³ C) f(x) = tan (lnx) + 52²

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Q: Let C be the curve y = 12 11 10 9 8 7 6 10 T 15 4 1 + for 0.6 3.7. 3x 25 3 Find the arc length of C…

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Q: The equation represents Select one: x² + y² + z² + 6z = 4x + 12 a sphere with center(-2, 0, 3) and…

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Q: H.W: Evaluate the integral 1 1 SS 0 y 1. x² exy dxdy 2 2. 1 y 2² SS dxdy

A: To evaluate the following integral. 1 ∫01∫y1x2exy dx dy2 ∫12∫yy2 dx dy

Q: Q3) Find the volume of the solid generated by revolving region bounded by the curve (y=e* ) & the…

A: As per bartleby guidelines we only give first question answers.  Please repost for other parts.

Q: Consider the double integral f(x,y)=(x²+y2) 3/² over the region R where y is bounded between 0 and…

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Q: Let à = i +43 and b - 37 - 7j. Find a . b

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Q: Find the value So X (x²+1)= dx

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Q: dx 16. S sin Ex di √x u= √√x du= I u 12/12 dx = ५५ -1/2 dx 2 би du YN

A: Solve the integration

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A: Find the sum of the series (-1)n16n-2/(2n)! from n=0 to infinity.

Q: Let lim f(x)=9. Use the limit rules to find the following limit. X-8 lim √f(x) X-8

A: Given, limx→8f(x)=9

Q: : Use the chain rule to find the derivative of w= x² + y² with dw with x = cost + sint, y = cost-sin…

A: This question is based on chain rule differentiation.

Q: dt u = xy + y z tzx x = tcost, y = tsint, z=t at t = a 4

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Q: is equal to [²2x Select one: Of 2xdx +²2xdx none of the others O O ○ 4 ¹2xdx + ₁ + 2xdx 3 ¹2xdx…

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Q: Let f(x) be a piecewise function. Evaluate So fl f(x) dx = = if x < 2 2x-3, if x ≥ 2 (3x²+2,

A: Topic = Integrate

Q: Use the nth term test to show that the series is divergent, or state that the test is inconclusive n…

A: We have to use the nth term test to show that the series is divergent, or state that the test is…

Q: Q5: Find the area shared by the cardioid r = 1 + cos 0 and the circle r = 3 cos 0. Graph the two…

A: Let's find area between given cardioid and circle.

Q: Evaluate the expression under the given conditions. sin(20); sin(0) ==, in Quadrant II 0

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Q: Given the equation -Sa+30-5g²-10y52²-90=210 Show that the given equation represents a sphere, and…

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Q: The two vectors a = (-1,2,-2) and b = (2, -4,-5), are not parallel but are orthogonal. Select one:…

A: Using algebraic operation

Q: Question 2 Given the equation -5x² + 30x - 5y2 - 10y - 5z2 - 90z – 5z² 90z = 210 a) Show that the…

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Q: True or False: We have Select one: O True O False 0 8 √xdx = 12.

A: Let's solve given integral.

Q: Let C be the curve y = 12 11 10 9 8 7 16 16 5 A m Cy 1.5 x³ 1 + for 0.6 3.7. 3x 4 2,5 3 Find the arc…

A: We are given a curve C : y= x3/4 + 1/(3x)  for 0.6≤x≤3.7. We have to find arc length of C.…

Q: Let C be the curve y = 12 11 10 9 8 7 6 5 4 15 x³ 1 + 4 3x 25 Find the arc length of C shown above.…

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Q: A spherical triangle has an area of 327.25 sq. km. What is the radius of the sphere if its spherical…

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Q: Solve the following initial value problem. (-1/2) dr de = sin(-60), r The solution is r(0) = (Type…

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Q: te the integral 2. 01 jjax + y + -1 -1 (x+y+1)dxdy

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Q: The intervals on which f(x) = x² ln x is increasing and decreasing, and the intervals of concavity…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: use a graphing utility to graph f(x)= -0.2x^3 - 0.5x^2 + 4x -4 on the interval [-6,4] and…

A: The given function fx=-0.2x3-0.5x2+4x-4 on the interval -6,4

Q: Solve: y" - 6y + 15y = 2 sin 2t, y(0) = -1, y'(0) = -4

A: Let's solve given diffrential equation.

Q: d. (f/g) (x) f(x)=3x+4; g(x)=2x-3

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Q: Evaluate tan(2x + 5)dx 0.0190 0.9899 0.0976 -0.0190 0.0967 0.00190 0.0109 0.9998 -0.0976 -0.8999…

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Q: Use partial fractions to find the power series of the function: ∞ n=0 5æ + 53 (x − 2)(x + 5)

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Q: Introduction to Calculus in Economics (continued): In the previous Problem Set question, we started…

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