Recall that given a line L1 in the plane with slope m, a second line L2...

Recall that given a line L1 in the plane with slope m, a second line L2 is perpendicular to L1 if and only if the slope of L2 is − 1 m . Now consider the function h(x) = x^2 + 3/2x + 3. Among all of the lines tangent to the graph of h(x), there is exactly one which is perpendicular to the line given by y = −2x + 7. Write the equation of that line tangent to h(x) that is perpendicular to y = −2x + 7.

Expert Solution

milcah answered 3 years ago

Given two sorted lists L1 and L2, write a procedure to compute L1∪L2 using only the...

Given two sorted lists L1 and L2, write a procedure to compute L1∪L2 using only the basic list operations. Pseudo-code is acceptable.

The intersection of two lists L1 and L2, L1 ∩ L2, is defined as the list...

The intersection of two lists L1 and L2, L1 ∩ L2, is defined as the list containing elements in both L1 and L2 only. Given two sorted lists L1 and L2, write a function, called intersection, to compute L1 ∩ L2 using only the basic list operations. The intersection function is defined as follows template list intersection( const list & L1, const list & L2); C++

1) Equations for two lines L1 and L2 are given. Find the angle between L1 and...

1) Equations for two lines L1 and L2 are given. Find the angle between L1 and L2. L1: ? = 7 + 2?, ? = 8 − 4?, ? = −9 + ? L2: ? = −8 − ?, ? = 3 − 3?, ? = 4 + 3? 2) Find polar form of complex number z : ?) ? = 4√3 − 4? ?) ? = 2√3 − 2i

For the Poincare plane, find two lines L1 and L2 and a point P off each...

For the Poincare plane, find two lines L1 and L2 and a point P off each such that through P there are exactly two lines parallel to both L1 and L2.

Given two sorted lists, L1 and L2, write an efficient C++ code to compute L1 ∩...

Given two sorted lists, L1 and L2, write an efficient C++ code to compute L1 ∩ L2 using only the basic STL list operations. What is the running time of your algorithm?

1. Write a Racket function (set-equal? L1 L2) that tests whether L1 and L2 are equal....

1. Write a Racket function (set-equal? L1 L2) that tests whether L1 and L2 are equal. Two sets are equal if they contain exactly the same members, ignoring ordering (or in other words, two sets are equal if they are a subset of each other). For example (set-equal? '(1 (2 3)) '((3 2) 1)) ---> #t (set-equal? '(1 2 3) '((3 2)1)) ---> #f (set-equal? '(1 2 3) '((1 2 3))) ---> #f 2. Two common operations on sets are...

True or False. Explain Briefly. (9). If L1 and L2 are not in D, then L1...

True or False. Explain Briefly. (9). If L1 and L2 are not in D, then L1 - L2 cannot be regular. (10). If L1 and L2 are not in D, then L1 union L2 cannot be in D. (11). Every infinite language has a subset that is not in D. (12). If not H were in D then every SD language would be in D.

1)Given a list L1, create a list L2 that contains all but the last element of...

1)Given a list L1, create a list L2 that contains all but the last element of L1 (e.g. if L1 is ["a","z",True], L2 should be equal to ["a","z"] 2)Given a string s, assign a variable has_z that is True if s contains the letter "z" anywhere within it. 3)Write Python code that calculates the mean of a given list of numbers x and saves the result in a variable m. 4)Given two numeric variables, x and y, assign the maximum...

(a) Find the cosine of the angle between the lines L1 and L2 whose vector equations are given below:

(a) Find the cosine of the angle between the lines L1 and L2 whose vector equations are given below: L1 : ~r1(t) = [1, 1, 1] + t[1, 2, 3] L2 : ~r2(t) = [1, 1, 1] + t[−1, 4, 2]. (b) Find the equation of the plane that contains both L1 and L2.

An arch dam has the following characteristics. H= 22.2 m, L1=400m, L2=120 m, Find the thickness...

An arch dam has the following characteristics. H= 22.2 m, L1=400m, L2=120 m, Find the thickness and projection on the crown cantilever and volume of the concrete.

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