2. lim (tanx) (sin r-1) x→

Q: ind the absolute extremum values of f(x) = xe² on the interval [0, 1]. Note: e 0.22) ≈

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Q: Determine whether the infinite geometric series is convergent or divergent. If it is convergent,…

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Q: Use the First Derivative Test to find any relative extrema of the function. (a) g(x) = 2x³ – 18x

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Q: TU (sin³ x)√1 + cos x dx EN

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Q: 6. y dy 1+√√y 11

A: SOLUTION-

Q: What is the volume in cubic units of the solid formed when the region bounded by y = 2x + 1, x-axis,…

A: Given :y=2x + 1, x- axis, x=1, and x=2 is revolved about y=0.Formula :Volume in cubic = π∫y2 dy

Q: 1. (2x6x5 +7x³-3x² - 11) dx 2. f(9y2 +6y-4-y-5+1) dy (12x-x+x) dx 3.

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Q: Determine whether the infinite geometric series is convergent or divergent. If it is convergent,…

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Q: lim x++∞ x² + x e²x + Inx

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: What is the second derivative of y = 6x² 3x³ + x² - 5 ? - Oy"= 72x² 18x + 2 Cinema) Oy" 24x³9x² + 2x…

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Q: 3. Σ7ne-² (Integral Test) n=1

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Q: π 2 EK 4 cot4 x dx

A: Here, note that: ∫cot4x dx=∫cot2x cot2x dx=∫(cosec2x-1) cot2x dx=∫cosec2x cot2x dx-∫cot2x…

Q: Question 1 Express the Laplace Transform of the following functions: (a) f(t) = 2t sin(3t) - 3te5t…

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Q: 2. Find the interval of convergence of the power series & 3x गय

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Q: What is the center of gravity of the solid formed when the plane region bounded by y^2 = 4x in the…

A: First we sketch the given region using a graphing calculator as shown below:   The shaded region…

Q: Let f(x) = e2sinx 1. Find the absolute extremum values off on the interval [7]

A: To find the extreme values of given function at given  interval.

Q: For the function defined as follows, find all values of x and y such that both fx(x,y) = 0 and fy…

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Q: f(x) = 4√√x + 2x¹/2 - 8x-7/8 +x². f(x) +2 1 x3 = ²325/2 - 2x³/2+1/32²³- x³ - 2x² + x −1. 9

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Q: Set up the triple integral that will give the following: the volume of the solid B that lies above…

A: We have to set up the integral and draw solid B.

Q: Derive the standard equation of a circle if its general equation is x² + y² - 10x - 6y + 14 = 0.…

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Q: II. Evaluate the following integrals cos xsinx 1. S -dx V2+cosx ||

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Q: 6. Find the area bounded by y= In x, y = 0 and x = e.

A: Area of a curve y=f(x) bounded by x=a, x=b is given by, A=∫abf(x)dx ln(e)=1, ln(1)=0

Q: (Requires a short but nontrivial geometric argument.). Let ABC be a triangle with angles…

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Q: Suppose that the number of crates of an agricultural product is given by 11xy-0.0002x² - 5y Z= 0.03x…

A: Suppose that the number of crates of an agricultural product is given by z=11xy-0.0002x2-5y0.03x+4y…

Q: Given that -3 9+x² following functions: (-1)n+1 32n+1 4x (9+x²)² Σn=0 2. g(x) = x2n. Obtain the…

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Q: a. Arc length of the curve y = 4- (x-2)² 4 bordering the region R

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Q: Find the equation of the line tangent to y = e The equation of the line tangent is y= at x = 1 - In…

A: Given query is to find the equation of the tangent.

Q: What is the volume in cubic units of the solid formed when the region bounded by x = y - y^2 and x =…

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Q: I. Evaluate the following limits. 2. lim (x - Inx)* +0+x

A: We have to find the limit of the function  limx→0+x-lnxx. We can write,    u= elnu Therefore,…

Q: Determine an equation of the normal line (a line that is perpendicular to the tangent line) to the…

A: Let's find equation of normal line.

Q: Evaluate the integral: 1 - coth² (log₂ x) S² x cosh(log₂ x) dx

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Q: Simplify the expression (1 - i)(√3+i) (1 + i)(√3-i) and express your answer in polar form where r> 0…

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Q: 7. Find the mean of a student's test scores if he earned 95, 93, 85, 90, and 91 points on five…

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Q: II. Evaluate the following integrals. 2. (sin³x)√1 + cos x dx KIN k 플

A: Here is the solution:

Q: ab c Pq r U V W a. det (2B¹) where B = 4u 2a 4v 2b -q 4w 2c <-r 2p -a+u 3u b. det (20¹) where C =…

A: Given problem:-

Q: Prove that d/dx(cos x) = −sin⁡ x using the definition of the derivative.

A: Given: fx=cosx   As we know from the definition of the derivative; The expression for the derivative…

Q: 3.2.2 Test for exactness then solve. y(2xy2 − 3)dx

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Q: Evaluate the multiple integral. * 131-x² SS S dz dy dx 100 0 2/3 5/3 4/3

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Q: Use the Second Derivative Test to find all relative extrema. (a) h (x) = x - 2 cos x, [0, 4π]

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Q: Is that pi (π)? Or something?

A: Given ,  Area of the region bounded by  y = cosx , x = -π/2 and x = π/2 and the x - axis  We have to…

Q: Find the area bounded by the curve 2x² + 4x + y - 0 and the line y+x=0 a. 1.000 b. 1.125 c. 1.525 d.…

A: We will first sketch the curve and the line.

Q: 9 To express Q(x) = cos(4x-5) as the composition of three functions, identify f, g, and h so that…

A: The given function is  Q(x)=cos9(4x-5).

Q: * (sin(2a) + cos(2x)) da Jo

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Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

A: Given :y=9-2x0&lt;y&lt;8revolution about y-axis

Q: (y² - x² sin xy) dy+ (cos xy - xy sin xy + e²x) dx = 0

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Q: Evaluate the limit: lim (x - Inx)* x→0+

A: Using limit definition

Q: ∙1 Ꮭ ᏝᎽ 1-x-y z dz dy dx

A:

Q: Solve

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Q: FIND X: 6.95460 = -0.658 + 1.41853 + 9.36 (log10 (X + 1)) + 0.40+ -0.20091 1094 (X+1)5.19

A: Given:  6.95460=-0.658+1.41853+9.36log10x+1 + -0.200910.40+1094x+15.196.19407=9.36log10x+1 +…

Q: Find the volume of the solid generated by revolving the region bounded by the lines and curves y =…

A: Here we have to find the volume.