(2) elnx = x (1) sin-1x = V1-x2 (1) ax A- Show that : cos x (2) lim x- cosx (2) (1) limx-0 В- Find :

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A: As per our guideline, we are supposed to answer only the first question, to get remaining kindly pos...

Q: 12 + csc 0 [sin 0 + csc 0]d0

A: Given I=∫12+cscθ(sinθ+cscθdθ To evaluate the integral I

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Q: ( 2 + x², -2 <x< 0 4 f(x)dx; f(x) = 1 ·x + 2, 1. 0<x< 4 -2

A: ∫ xn dx = xn+1n+1 +C ∫ab f(x) dx = ∫ac f(x) dx + ∫cb f(x) dx , where , a&lt;c&lt;b.

Q: Use the second partial derivative to Find the relative extrema OF the Function f (x, y) = x°t 2xy-6x...

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Q: Solve the differential equation (y3 – y?sinx – x)dx + (3xy² + 2ycosx)dy = 0 when x - 0, y = –1

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Q: Q1. Fill in the blank with a suitable mathematical expression. 1. The function f(x) is symmetric abo...

A: As per bartleby guidelines we only give first question answers. 

Q: 2. Use the sum and difference formulas to evaluate the following. 5TT COS 12 sin (-) 7Tt а. b. 12

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Q: E. y = xArctanx - In V1+x

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Q: Question Find (f-)'(a) for f(x) = Vx + 5 when a = 2. (Enter an exact answer.) Provide your answer be...

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Q: . Sketch the graph h(x) = x2 -x-12. Then, a.) Determine the line tangent to h(x) at x=c. What is it...

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A: "Since you have asked multiple question, we will solve the first question for you. If you want any s...

Q: Find the derivatives of the following functions: 1. y = 2x3 + 6x 2. y = 7x* - 3x? 3. y = (3x +1)(2x ...

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Q: Question Find an algebraic expression equal to cos (csc- (3x - 3)). (You may assume that-< csc- (3x ...

A: Let's find. 

Q: Give the Maclaurin series expansion of f(x) = ln(3-2x). Determine its interval of convergence.

A: To determine the interval of convergence

Q: Evaluate the given integrals. 3x?dx 1. S 2х4-1 2 dx 2. S tan x(5+ln sin x) 3. Seš(6– ei)" dz 1 4. S ...

A: according to our guidelines we can answer only three subparts and rest can be reposted thanku.

Q: +00 El-1)nInn- n=2 n2

A: The given series,        ∑n=2+∞-1nln nn2

Q: A cuboid has a square base of side (2 + 3)cm and a volume of (16 + 9 3)cm³. Without using a calculat...

A: It is given that, A cuboid has a square base of the side 2+3 cm and Volume of 16+93 cm3. Without usi...

Q: 1. Determine if if r2 /2r is differentiable at r 2.

A: First check for continuity then the derivative if both exist then function is differentiable. 

Q: [ a(x+y) - xty]dy = (x+xy²- 2y +3)d« when x-1, yal 3. %3D (9xy - 2y²) dx - ( 6x²_ xy) dy =0 4.

A: I have authority to answer one question only, if you want another question to be solved then upload ...

Q: How do you find the derivative of function y=x^2-2radicalx/x

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Q: Find the volume of the pyramid with base in the plane z = -1 and sides formed by the three planes y ...

A: We need to evaluate volume.

Q: From Rogawski ET 2e section 8.1, exercise 9. Calculate the arc length of y = - x - In x over the int...

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Q: Use the given information to find f '(2). g(2)  =  5   and   g'(2)  =  −3 h(2)  =  −1 and h'(2)  = ...

A: The objective of the question is evaluate the given composition of function at given point.

Q: is differentiable at r 2. 2. (a) Using the definition of derivative, compute for the slope of the li...

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Q: Find the volume V of the solid S that results when the region bounded by y = x2, y = x, x = 0 and y ...

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Q: Evaluate the integral [[(ate?) i+ (o-8) j+ (3) k]at 0. S[(t022) i+ (e-) j+ (3)kJat = i+ ()j+ ( )k (T...

A: The integral,      ∫014te2t2i+e-3tj+3kdt

Q: -32 %3D Find the gradient Vf (x, y,z) OF f (x,y.z) = e sin 3X cos 3y

A: The given function,      fx,y,z=e-3z sin 3x cos 3y

Q: 3) Using BAIRSTOW'S METHOD, solve f(x) = 2x* + 2x2 - 5.5 = 0 Use 4 decimal places. Required % Error ...

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Q: Find the area of the region bounded by the given curves. Decide whether to integrate with respect to...

A: According to our guidelines we can solve only three question. (1)y=3x2, y=0 and x=3Area=∫033x2dx    ...

Q: A particle moves along the x-axis so that at time t 0 its velocity is given by v(t) = 3t2 – 60t. Det...

A: v(t)=3t2-60t,    t≥0the particle is moving to the right whenv(t)&gt;03t2-60t&gt;03t(t-20)&gt;0

Q: x³dx 3. J (x4+4)* (x4+4)4|

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Q: What Mclaurin Series this function represents: En=1(-1)n+1 =" = ¤ n 3 O a. In(1+x) b. cosx c. sinx O...

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Q: The position of a car traveling along a highway is given by the function s(t) = 21* - 61-612 + 3 whe...

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