dx Using trigonometric substitution S = sin(0) + C, express the answer in terms of x. 3 (x²+x+1)7

Q: tan (x) J Cos cos“(x) 하an7(x) + 늑tan®(w) +C O tan'(x)7tan?(x) +9]+ C tan7(x) 36 O sin…

A: Here we have to integrate the given function.

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Q: g(t) = 2t3 + 3t² – 12t %3D Find the intervals where g(t) is increasing and the intervals where g(t)…

A: Given: gt=2t3+3t2-12t   (a). To calculate the interval for increasing function, g't>0

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Q: CHOOSE ONE. Find the length of the curve x = 4- y (a) using the parametric equations r = 2 cos t and…

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: In how many ways can the digits in the number 8,400,000 be arranged? ways (Type a whole number.)

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Q: 10. Consider the function f (x) = x³ + 6x2 -36x + 4. Then I. f decreases on (-6, 2) and increases on…

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Q: 2х n evaluating J cos²(2x) Tx using integration by parts, identify the portion of the integrand to…

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Q: 12. The slope of the curve y = x2 - e-* at its point of int A. -In 2 В. C. 2+In 4 D.

A: Given query is to find the the slope at inflection point.

Q: Compute the following values for the given function. f(x, y) = 4x2 + 2xy – 7x + 4 f(1, 2) %3D f(2,…

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Q: Find an equation of the tangent plane to the given parametric surface at the specified point. r(u,…

A: We have to find the equation of tangent plane

Q: cos2x – sin2x cos2x dx = For -F(x)+C What is F(x)? cosx – sinx 2 2 sinx + =cos'x+cosx + =sin³x 3 3 2…

A: For ∫cos 2x-sin 2x cos 2xcos x-sin x dx=13Fx+C, to determine Fx.

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Q: Find all relative extrema of the function. Use the Second Derivative Test where applicable. (If an…

A: We find the local extrma using first derivative test by checking the nature of f'(x) at different…

Q: .4 x²+4x-5 Consider dx using Trigonometric Substitution find X- 1. x+2 -2 +3 sec 0 3 sec e -2 + sec…

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Q: Using Integration By Parts, x3 x2 +4 dx = uv- - Sv du

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Q: Find all points (x,y) on the graph of y = x-4 with tangent lines perpendicular to the line y = 4x +…

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Q: 2x3- x² + x + 2 dx = D dx find A+B+ C+D. + x+1 + Consider x4 + x3 4 O 3 O 2 O 5

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Q: s-8 3. (s-3)(s²+2s+17)

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Q: 9- x2 dx using Trigonometric Substitution what is dx ? x2 Consider 3 sec e de 3 sec? e de 3 cos e de…

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Q: 2. |=xp(x)JLOS Then find the value of the integral: pune f(0)=| Sketch, on a sheet of work paper, an…

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Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

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Q: J sin(x)cos(2x)sin(3x) dx sin(3x)cos(3x) , sin(2x)cos(2x) , sin(2x) + + C 12 8 8 4 sin(6x)_ sin(2x)…

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Q: x³ + 6x2 + x+2 2 Tan Ve fx-1 ax + In{(x+ 1)*(x² – x + 1)"| + The resulting integral of -X+ -1 + C,…

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Q: Consider the following parametric equations. a = t + 5t y = -3t2 + 1 - 2 <t<2 a) Find four unique…

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Q: 4. Suppose U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {3, 4, 5, 6, 7}, B = {all multiples of 3} and C =…

A: U=1,2,3,4,5,6,7,8,9A=3,4,5,6,7B=all multiples of 3C=all multiples of 2

Q: 1. Evaluate the following limits. 4x – 7 3x2 – 2r – 5 1 c. lim I-1- |I + ¤|

A: We put the limit .

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Q: Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to…

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Q: Using Integration By Parts, x sec - x tan x dx = %3D

A: Use integration by parts.

Q: If i x w = i- j+ k, and i · w = 4, and 0 is the angle between i and w, 2 - (a) tan 0 = (b) 0 =

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Q: Find the tangent to y = x-x+10 at x 3.

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Q: dx If x2 - 2x - 4 is solved by trigonometric substitution, which of the following substitutions is…

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Q: A stone is dropped from the upper observation deck of a tower, 800 m above the ground. (Assume g =…

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Q: sin dx 32 cosS 35 4 Ssin +2 +c cos () • 32 cos + C 32 -cos 32 cos + C 7 4 32 cos 35 즐)-Scos()+기+C

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Q: Find an antiderivative of the function. (a) h(q) = sin(q) H(g) = (b) f(x) = 3eX F(x) =

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Q: 3x2+ 8x – 12 3. -dx. Use partial fractions. x3+7x2+ 12x

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Q: x² –9 2. dx. Use trigonometric Substitution. .3

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Q: 5xy = 4x²z – 3yz²; xz and xy.

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Q: Find the first partial derivatives of 2х — 4у - f(x, y) = at the point (x, y) = (2,2). 2х + 4y af…

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Q: Evaluate the integral Scors cot x csc'x dx X CSC X

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Q: 4 x² +4x-5 dx= find the new limits of integration. Using Trigonometric Substitution f(e) de x+2 TT O…

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Q: 1 Using Integration By Parts, x sec x tan 2 1 -uv-Jvau Find u v- Svdu '2x sec 을x-J25ec을x dx o 1 2*…

A: From the given problem; ∫xsec12xtan12xdx=uv-∫vdu    ....1   We know that; ∫secxtanxdx=secx+C

Q: Evaluate the surface integral F. ds for the given vector field F and the oriented surface S. In…

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Q: dx Using Trigonometric Substitution J- , find f(0) = (x² + x + 1)7 O 3 sec? e 4 3 sec e 4 4 3 sec e…

A: The given integral,     ∫dxx2+x+132

Q: s2x²-x²+ x+2 A dx find A + B+C+D• X +1 Consider dx = x4 + x3 3. 2 4 O O o o

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Q: ind the area and the circumference of a circle with diameter 6 m. Ise the value 3.14 for a, and do…

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Q: TRUE OR FALSE. Consider the parametric equations of a cycloid given below. Its length of arc is…

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Q: (2x+4) + 1 x² +2x- 10 dx = x² (x² + 4x +5) (2x +4) +1) dx- x² + 4x+5, Consider dx evaluate | x² + 4x…

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