1. Find the area of the triangle in the R2 plane whose vertices are given by (0,0), (–1,4) and (7, –2) . Your answer is 2. Find the volume of the parallelepiped defined by the vectors 0. -2 | and 3 Your answer is

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Q: Find the surface area of the plane ( 15x- 5z+20y=35) if it is in the first octant

A: Solution :-

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Q: Hfe Rfa, bj, prove the triangle ineguatity for integrats: , ) drs (Hint: Recall that ƒ - f - S…

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Q: 3. Solve for all the roots of x using Bairstow's Method starting at ri = 0.25 and s1 = 8.75 of the…

A: We will use the basic knowledge of Bairstow's method to precisely find all the real and complex…

Q: 23 Label a, b, c, d, e, & f (below) as either "Normal Distributions" -or- "Non-Normal…

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Q: Which of the followi:ng statement is false? Ta) The ring (Q, +, . } is an integral domain. (b) The…

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A: To find the maximum volume of the gutter.

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Q: Using 7 consonants and 5 vowels, how many words consisting of 4 consonants and 3 vowels can be…

A: using combinations

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Q: find the Linear transfromation TiR'+Pe) 1. whose matrix MT 2. 3. 7 1 4 Relative tothe natural baseto…

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Q: (b) Prove by Induction that (3i – 1)(3i +2) = 3n +6n2 +n for n21 i=1

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Q: Indicate whether each of the following points satisfy the following system of inequalities. S 2+y>…

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Q: Y r = 4 sin 0 r = 1+ sin 0 B 2. Consider the polar curves (see figure above) r = 1+ sin 0 and r = 4…

A: Using the given picture. A and B lies in first and third quadrant so the angle lies between 0 and π

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A: Solution

Q: (xy" cot coos +y)

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Q: For the following exercises, match each function with one of the graphs pictured below D. E 14. f…

A: For the exponential function of the form: y=abx, b is called the growth/decay factor. If b>1,…

Q: х — у 3. f(x, у, 2) %3D y? + z? а. f(3, —1, 2) b. с. d. f(2, 2, 100)

A: Solution

Q: Given the figure below, find the values of x and z. (7x-3)- 749

A: Supplementary angles add up to 180°. It follows: 74°+z°=180°z=180-74z=106 Again using supplementary…

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Q: What is the minor of element a23 -2 5 -2 5 3 - -3 4 4,

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Q: Evaluate 3- 2y ds where Cis the line segment from (3,6)to(1, –1)ts -58.240 58.240 -57.991 Non of the…

A: Let us consider the line integral I=∫cf(x,y)ds  The integral will be converted to…

Q: 27. A = [1 4 7], B = [4 2 0] Subtract A and B equals O [5 6 7] O [-3 2 7] O [4 8 0] O 12

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Q: I. Does the graph below have Eulerian or Hamiltonian Circuit? If there is, find one. If none explain…

A: # as per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: 7. A liquid vessel which is initially empty is in the form of an inverted regular hexagonal pyramid…

A: Solutions

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A: Here we use the basic definitions of singular point

Q: 3. C = cosh-1{sin¬1[tan log (3 – j8)]}

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Q: if was T:RY> R? Linear identiofier grandfathero kert O Imt

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Q: (7) Graph the following equations. Label vertical asymptotes. Eind the period. You must graph at…

A: Note: We are entitled to solve only one question at a time and up to 3 sub-parts only. As the…

Q: Show that (2o + h)" – 2ö = nz- | n-1 lim h→0 h for any zo E C.

A: To show: limh→0z0+hn-z0nh=nz0n-1for any z0∈ℂ

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A: Since θ is constructible, by definition, (cosθ, sinθ) is a constructible point.

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Q: 1. Algebra: Compile 1 application problem for introduction to algebra with solutions and correct…

A: Question Find the solution of following linear equations x+y = 2  x - y = 0 Operation Add equation…

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Q: Consider the equation surface S in the three dimensional space given by the equation X = z2+2 (a)…

A: Given the surface S in the three-dimensional space given by the equation x=z2+2. (a) The graph of…

Q: 1. Consider the following intervals on R: A = (0,1); B = (1,2); and C = [2,3). For each pair of…

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Q: · A long metal sheet with a width of L meters is formed into a gutter by bending up two of its sides…

A: A roof gutter is to be made from a long strip of sheet metal L meters wide, by bending up equal…

Q: If a series 00 Σ an n=1 is convergent, then it is absolutely convergent. Select one: O True O False

A: According to our guideline, we can solve only first question of multiple questions. Here the…

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Q: [1 0 1 1 -1 Lo 1 0 -1 1 -1 3. Given A = 1 a) Find A-1. b) Write the corresponding elementary matrix…

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Q: Question 2 1 Given the iterated triple integral S Vx²+y² -x2+9 18 – x²-y x2+ y² dz dy dx. %3D -3 0…

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Q: XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Test if the following complex limit exists,…

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