1 1. lim In (x- 2) x-3 X-3+

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

A: v=19, -12oppositely directed to v,(The angle between vectors with opposite direction is 180° and the...

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Q: b) The area bound by the curve y = 2x + 1 and the y-axis is rotated about the y axis between y = 2 a...

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Q: of 5 (7) The graph of y = (x 1)° + 2 is the graph of y = x° shifted (A) 2- units right, 1- unit up (...

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A: Given cosθ=513We know that sin2θ+cos2θ=1sin2θ=1-5132        =1-25169        =144169Sinθ=-1213 (As si...

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

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Q: (1) As x→ t0, the end behavior of the polynomial p(x) = 3x°(1 – 2x + x°) can be resembled as (A) p(x...

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Q: Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dim...

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Q: Q1: Answer A OR B A - Evaluate the following integral. e2x cos3x dx

A: let I=∫e2xcos(3x) dxlet  u= cos(3x) ,  v =e2x I= ∫cos(3x) e2x dx∫cos(3x) e2x dx= cos(3x)e2x2+∫3sin(3...

Q: A +B + C +スt X (x+D (x+1)" (x+2)

A: Using partial decomposition method

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Q: Solve the following initial value problem. y) = -3 sint+2 cos t with y"'(0)= 9, y"(0) = - 2, y'(0) =...

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Q: Prove that lim (4x² – 25) = -9. X→2

A: We will prove this by definition of limit as follows 

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

A: a)a→=-3 i + 8 jUnit vector as the same direction;u= a→a→ =(-3 i + 8 j)(-3)2+(8)2u=(-3 i + 8 j)73u=-3...

Q: V -/1+/x - 1 1+/x +1 · IVx tan 2 tan dx 1+/x +1+//1+/x -1 -1

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Q: Your factory is going to manufacture a rectangular container which has a fixed capacity V, with a sq...

A: The Volume of a box with a square base  x by xand height  h is V = x2hh=Vx2The amount of material us...

Q: Find the area of the region enclosed by the parabola y = 2 - x2 and the line y = -x.

A: We have to find the area of the region enclosed by the parabola y = 2 - x2 and the line y = -x.

Q: 5. Which of the has a domain of (-o, +c0)? a. f(x) = x b. f(x) = x2 c. f(x) = x d. f(x) = x*

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Q: Evaluate the double integral. y dA, x2 + 1 D = {(x, y) | 0 s x5 8, 0 s ys V} 29727

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Q: Calculate the integration from the following figure y 2 y=x-4 A

A: To evaluate the integral for the region shown  

Q: Prove that lim(4x² – 25) = -9 X-2

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Q: Answer the following questions about the function whose derivative is f'(x)= (x+3) e 2x a. What are ...

A: Let us consider a function f(x). A point x=a is said to be a critical point of f(x) iff f'(a)=0 f(x)...

Q: x + y = 5,y = 0,x = 0; about y =

A: Topic = Volume

Q: Suppose that f is a function given as f(z) = x – 5. Simplify the expression f(x + h). f(x + h) = %3D...

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Q: 6. Find the minimum surface area of a box that holds 2 cubic meters.

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Q: 2х2-8х+7 x 0 х-бх3

A: The given function is: f(x)=2x2-8x+79x2+5x-3, x≤0-4x3+6x2-15x-6x3, x&gt;0

Q: xf (x² )dx if / f(x)dx = 9. Find Enter the exact answer. %3D

A: Given query is to find the value of the integral.

Q: (2+x, x<2 15. Given the function g(x) = l6-x, x22 Find g(2). a 1 b. 2 C. 3 d. 4 16. (Refer to item #...

A: We have to choose correct option

Q: Find d'y /dx? Y = xtan (=)

A: d²y/dx² means we have to calculate second derivative of the function.

Q: Find the area of the triangle with vertices P(1,6, –5), Q(0,0, 0) and R(2,3, 1). NOTE: Enter the exa...

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Q: Find the radius and interval of convergence of the given power series. +o0 (x +3)" Σ 1. n5 +1 n=0 +0...

A: Given problem:-     To find:- Interval and radius of convergence of given series

Q: Find the volume of the solid generated by revolving the area bounded by the given curves about the i...

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Q: Consider the points A(2, -3, 4), B(4, –5, 1), C'(-2, –4, 1), and D(4, 2, –6). (a) Find the volume of...

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Q: Suppose f is a function such that f'(7) is undefined. Which following statements is always true? a. ...

A: for the define f'(7) the function must be contineous at 7 but here undefine is given so  answer is b...

Q: 2x2 (7) Let f(x) = Find the vertical x2 –1 and horizontal asymptotes of the given function. Show the...

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Q: The rose r = asin 30

A: Solution is given below:

Q: Find the vector component of v = (4, –1, 7) along b = (6, 6, –7) and the vector component of v ortho...

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Q: Solve the following initial value problem. y"-2y'+ 2y 7x +4; y(0) = 3, y'(0) =0 The solution is y(x)...

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Q: 1 Show that 2-* d.x 2 In 2

A: We can show the answer in the following steps.

Q: What is the equation of the line tangent to the curve 9x^2 + 25y^2 – 225 = 0 at (0, 3)?  a. x + 3 = ...

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Q: (2х + Зу — 5)dx + (3x — у — 2)dy — 0

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Q: EVALUATE THE INTEGRAL

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Q: Consider the following. f(x, y) = 2x – 4y (a) Find f(10, 3) and f(10.1, 3.05) and calculate Az. f(10...

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Q: How can we determine this unit circle by filling them?

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Q: Consider the parallelepiped with adjacent edges u = 5i + 8j + k v = i+j+ 9k w = i+ 3j + 5k Find the ...

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Q: 2 S dz = 3. S dv

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Q: Three computers are chosen at random from 15 computers of which 5 are defective. Find the probabilit...

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Q: Q3 : Evaluate the following integral. x+V9-x2 xps

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Q: dy 3 1. a) Solve the differential equation dx if y = 3 when x = 1. xy

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