If a and b are unit vectors in R', show that ||a x b||? + (a · b)² = 1. %3D

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A: The Mean Value theorem says, If a function is continuous on some closed interval [a,b] and different...

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A: As per the guidelines, we need to author the 1st question.  We know that product rule is given by  d...

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Q: 18xy ive of the function g(x, y) x-y abolic notation and fractions where needed.)

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Q: dx To evaluate x1/3+x1/4 • the most appropriate substitution is A z= x/3 z= x/12 B © z= x1/4 D) z=1/...

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Q: Use a graphing utility to verify your results. y y 10 10 5 - 10 -5 10 -10 -5 10 -5 -5 -10 - 10 y y 1...

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Q: Find the volume of the solid obtained by rotating the region bounded by y = = a°, y = 1; about the l...

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Q: 3. Evaluate th 2x2- x + x3 + 4x

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Q: Find the radius of convergence, R, of the series. n = 1 5,יל R = Find the interval, I, of convergenc...

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Q: 3. Find the limit. tan(5x) 0 sin(3x) sin(6x) (2) lim x04x-5x (1) lim

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Q: 2. nevig ai (x)tv lo dqsg T 5a. Solve the inequality x2 < 5x - 6. Write the solution in the interval...

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Q: nou You are assigned a task to design three rectangular cubicles lined up and sharing walls as in th...

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Q: Find the length of the Conjugate axis if the length of the semi-transverse axis is 92 and the distan...

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Q: The region bounded by the given curve is rotated about the specified axis. Find the volume V of the ...

A: We are given the equation of the curve and the volume of the rotation we will find the volume of the...

Q: The Happy-Go-Lucky toy company found that the rate its revenue is changing, measured in hundreds of ...

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Q: 5. Determine if the integral is conve 0. exdx -1/2 V1-e 2x

A: Given query is to find integral converges or diverges.

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Q: •f(0) = 4 •f is decreasing and concave up for - 6 4

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Q: function

A: We have to find the given limit according to the given graph of function

Q: 3x +8 if c 2 %3D 12 if x = 2 Determine whether f(x) is continuous at r 2. If f(x) is not continuous...

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Q: (a) (2.001)5 (b) V9999

A: Given problems:- Use a linear approximation (or differentials) to estimate the given number a) (2.00...

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A: Question is solved.

Q: A parabola is shown below. Its vertex and another point on the parabola are labeled. Write an equati...

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Q: Use the Chain Rule to compute the partial derivative. би +о In (3u? + uv) = 3u + uv

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Q: Evaluate: lim (– Im(3x)) O-00 O DNE

A: To evaluate the limit.

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Q: ()- In(x) C. lim %3D

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Q: The daily cost C (in dollars) for a manufacturer to produce x electronic video components is given b...

A: We will use given expression to find the solution. 

Q: Plot the pair of points and find the slope of the line passing through them. (0, 0), (-7, 8) Step 1 ...

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Q: 15-17 Find the local maximum and minimum values of f using both the First and Second Derivative Test...

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Q: The region bounded by the given curves is rotated about the specified axis. Find the volume V of the...

A: We use shells method to find the volume.

Q: A fire truck is to be added to a certain district. Which district should get the Fire truck?   Are...

A: Given: - A fire truck is to be added to a certain district. Area No. of fire Trucks Number of hou...

Q: 3. 6. The graph of y = f(x) is given. Match each equation with its graph a. y = f(x-4) b. y= f(x) +3...

A: I am attaching image so that you understand each and every step.

Q: Your are driving away from New Orleans. Your distance (in miles) away from New Orleans x hours after...

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