Express the following as a vector valued function 7 (t). 1. The line L defined by y+3=3x and z+1 =0 2. The hyperbola -x2 – 2x + 2y² + 4y = –2

Q: Example 3.8. For r = 1, 2, 3 and y = 1,2, let the joint pmf of X and Y be defined by x+ y fx,y(x, y)...

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Q: The graph of a function f is shown below. 2 -4 4 -2 -4 For the following questions, note that you ca...

A: ?As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly repost oth...

Q: dz Compute dz and for the following equation. dy e Y + xz² 6xy*z³ .3

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Q: Use sigma notation to write the Maclaurin series for the function. 7sin zx 7(– 1)*,2* (2k)! (2k + 1)...

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Q: Solve the differential equation with appropriate method. Finalize answer free of Logarithms and frac...

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Q: the

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Q: dx The integral can be rewritten as - X (a) lim (-2 + 2V1-s) (b) lim (-1+ 2v1 -s) S-00 00--S (c) lim...

A: First we solve integral, put √1-x=t  And follow step 2nd . 

Q: One of the following is an improper integral. Determine which one it is then evaluate it. What is th...

A: We have to first find improper Integral then we have to evaluate it.

Q: зах X-Vx

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Q: Let S be the plane defined by 5x-Sy+10z 0, and let T be the plane defined by 2x-2y+5z=-2. Find the v...

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Q: 4x3 %3D 1. mtegrate. de - aya dx 4x3 du = 4x° dx %3D Jxt -2 xp: こ -112 du te 2(x*- 2) ° +C %3D %3D

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Q: sec? x 4 dx- Evaluate 1-tan x O 2 O -2 O -1 O 1

A: The given integral,        ∫0π4sec2x1-tan xdx

Q: EXERCISE 1 In each of the following, find əf. ду df Əf and (j) f(x, y) = ez+by

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Q: 8. dx du The integral reduces to k, where u = f(x) and for some ex + 1 constant k . Compute f(1). e ...

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Q: Graph the function, not by plotting points, but by starting from the graph of y = ex in the figure b...

A: Question : Graph the function, not by plotting points, but by starting from the graph of y = ex in t...

Q: 3. The graph of a function g is shown. 1. (a) Verify that g satisfies the hypotheses of the Mean Val...

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Q: a. The graph of a monomial function f is shown below. 25 20 15 10- 5 -5 -4 -3 -5 -10 -15 -20 -25 Com...

A: Please see the below picture for detailed solution. 

Q: 8. Detemine the area of the region enclosed by the curve y = x +4 and y = x+4. %3D

A: The given curves y=x2+4 and y=x+4  

Q: To determine how fast a change in weight will occur, the most plausible assumption is that is propor...

A: Given that dwdt is proportional to the net excess C-19.25w

Q: Use the Intermediate Value Theorem to show that 2х - 3 if – 3 0 has a zero on the interval [-2, In ...

A: By using the Intermediate Value Theorem to show that fx=2x-3x+3  if -3<x≤0-3+2 cosh x  if x>0h...

Q: 4 tanz dr 2. The value of the definite integral (b) (e) 1- (d) 0 (a) 1

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Q: The graph of the derivative of a function f is shown. Determine the x-coordinates of all stationary ...

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Q: Given: x² dx Find: Formula So"du Sa"du

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Q: Evaluate the integral S 4x4 – 12x² + 7 xdx (2x2 – 3)/4x4 – 12x² + 7 + 2ln|2x² – 3+/4x+ – 12x² +7]} +...

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Q: x+1 Is the function f(x) - X2 *Xく2 ;ン2 x >2 2X-1 continuous at x= 2? Why or why not? Show solution.

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Q: 37. h(t) = 14 -214 39. F(x) = x" (x - 4)²

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Q: 1+ In x 6. Find f(x) so that when u = f(x) the integral J tan(f(x)) dx can be rewritten as | cot u (...

A: Solve by integration

Q: Consider , xe¬**dx. What will be the appropriate solution and answer to this improper integral? A. l...

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Q: -5 dx Evaluate 2х — 10 (а) — оо (c) 1/2 (d) 0 00

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Q: Prove that lim X-2 2x2-3x-2 = 5. x-2

A: Topic = Limits

Q: t f be a function that is concave up everywhere. Suppose we would like to use the tangent line at x=...

A: If f is concave up so f''>0 and follow step 2nd . 

Q: 7. Determine f (x) so that cos(In'x) f(x) dx = sin(In'x) + C %3D (a) 2 In x 2 In x (b) (d)

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Q: Evaluate the integral dx |V7 + V3x -In 3 V2 - V3VX +C 1 -In V3x + V2 V2 +C 2/2 O In(2 V x³ - 3x Vx)+...

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Q: The demand for a company's e-reader can be approximated by g(p) = 21e0.02p million units per year (3...

A: Solution is here 

Q: An object is dropped from a tower, 1936 ft above the ground. The object's height above ground t seco...

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Q: Evaluate the integral ex 2e-2x - 3e2x | Arcsin V6e2x 2 A V3 +C ®Arcsin l V3e2x +C B © 2/2e-2x - 3e2x...

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Q: SV1+ vw_dw

A: ∫1+wdw  

Q: estimates used by climbers? Higher altitudes can present challenges to mountain climbers and hikers....

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Q: •tan(e-x) Given: ex Find: du exdx e-*dx - exdx O -e-*dx

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Q: 1+ In x tan(f(x)) Find f(x) so that when u = f(x) the integral | dx can be rewritten as cot u du . А...

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Q: e Σ k=1 3.

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Q: Question 2: Illustrated below are two tangent lines drawn at 2 different points on the curve whose f...

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Q: dy :-y = xy2 dx

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Q: person’s approximate brain weight is directly proportional to his or her body weight, and a person w...

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Q: What values of x make 3(x – 5)(x – 12)(x + 5) = 0? If there is more than one answer, enter your answ...

A: Topic = Algebra

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Q: Find an equation of the tangent line to the graph at the given point. (The graph is called a Witch o...

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Q: In3 ex i. dx In2 4- ex i. X/16 - Inx e 1 iI. i xInx In2 1 dx Ino.5 e2x + 1 iv.

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Q: Let f be a function that is concave up everywhere. Suppose we would like to use the tangent line at ...

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Q: Find the shortest distance, d, from the point (4, 0, -4) to the plane x + y + z = 4. d =

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