Use Addition formula to find the exact value of cos (a + B). if tan a= 3 (a in quadrant I) and csc B=, (B in quadrant II). %3D 3

Q: Mark each statement as True or False. The basic feasible solutions before and after a pivot are alwa...

A: mark each statement true or false (a) the basic feasible solutions before and after a pivot are alwa...

Q: Answer both item.

A: We find inverse Laplace transform of given F(s).

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A: Second order differential equation, Wronskian of the differential equation

Q: Exercise2: Prove that the Laplace Transform of step function: (10120 10 X(s) = x(t) ={ |0 t<0

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Q: Find the minimum value of the function f (x, y) = 16x² +81y² subject to the constraint xy = 1.

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Q: Consider the experiment of tossing a die. Let A be the event of obtaining an odd number. Let B the e...

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Q: The Scottsdale fire department aims to respond to fire calls in 7 minutes or less, on average. Respo...

A: find the attachment for the solution.

Q: Let S be a set of m vectors in R" with m > n. Select the best statement. O A. The set S could be eit...

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Q: Need help for this advances math problem. Will give a like for the answer. Thank you. Given the sys...

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Q: A Truth Table as a Function Let p, q, and r be statements. Let S {T, F}. %3D a) Write the set that c...

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Q: Suppose water is leaking from a tank through a circular hole of area A, at its bottom. When water le...

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Q: Find the inverse of function h(x)=5-e*-3. O h-1(x)=3 + In (5 – x) O h-1x)=3 – In (5 + x) O h-1(x)= I...

A: Given the function hx=5-ex-3 We have to find the inverse of hx  

Q: 9. 10. What is t divisors?

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Q: If R is a U.F.D., then R[x, y] is a U.F.D. If F is a field, then F [x, y] is a U.F.D.

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Q: Express the vector field B = (x^2- y^2)ay + xzaz in spherical coordinates at ( 4, 30o, 120o) * Expre...

A: Relation between cartesian and spherical co ordinate system x= r sinθ cosϕ   , y = r sinθ sinϕ   , z...

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Q: SOLVE THE 0.E 2Ydx 3xy²dx +xdy when x=2 y=-2

A: We can solve this using substitution method

Q: Give one example of a mathematical truth by convention or by tradition. Then express this mathematic...

A: This is a problem of Propositional Logic.

Q: Let f(t) = (t – 2)*(t+1)² be the characteristic polynomial for a linear operator T. Obtain all Jorda...

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Q: Find the inverse of matrix A given below using the formula A1 = CT |A| -6 -4 -4 6 A = -1 -4 -6 -1

A: The inverse of a matrix A is defined as AA-1=I, where I is the identity matrix. In this problem the ...

Q: The questions in 1-5 are concerned with functions of two variables. 1. Let f(x, y) = x2y + 1. Find (...

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Q: y = Ce- 2 + C2e3

A: Given equation is y=C1e−2x+C2e3x......1. We have to eliminate the arbitrary constants. Differentiate...

Q: The volume of a solid bounded by surfaces: z= 0,y=1,z = y² +x²,y=x²

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Q: 1. Lets, f(x) = xt – 5x3 + 9x2 a) Find all critical points and infection points, if any. b) The inte...

A: a. the critical points are the points where the derivative is zero or undefined. The given function ...

Q: 4. John and Sue are baking cookies. The recipe lists 3/4 cup of flour. They only have 3/8 cup of flo...

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Q: f (x) = log2(x + 8)

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Q: Graph the line that goes through (0,3) and has a slope of -2. #1 Graph the line that is perpendicula...

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Q: A die is rolled 6 times. Find the probability of rolling no more than 4 fours. .... The probability ...

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Q: Twenty-three slips of paper are each marked with a different letter of the alphabet and placed in a ...

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Q: Q3. Solve he 1X+41>2 yollowing ineqralitisom2. . Ix -1|s /2x+3/ m/onli 4 1x-31 d. X+3 e. x-8x+7<o 2.

A: Please post questions with multiple subparts separately.a) x+4≥2We know that,If x≥a, a&gt;0then, x≤-...

Q: maximize z(x1, x2) = x1+ 2x2 subject to = (x1, x2) E X. a) Use the graphical method to find an optim...

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Q: Beta Function; Evalua te the following integrals. k, k b. (1- Z ans: dz C. 3/4 (2+bz?)? 5/4 2.

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Q: [1 3] Find (b) Let A = 3 (i) an orthogonal basis for R? consisting of eigenvectors of A. an orthogon...

A: Orthogonal basis for space

Q: A_is the probability that belongs to one or both of two events. * Union Intersection Sample points E...

A: First of all, let me define the terms here: 1. Union : if two events are associated say A and B, the...

Q: Consider the polar equations r= 3+2 cos(0) and r = 3+2 sin(0), whose graphs are shown below. 2- 1 2/...

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Q: Let (3 2 1 -1 2 3 1-3 120 w= X = Y = 2 -2 0 -1 2 2 3 3 1 2 -1 1 a. WY-X = (-2 3 -7 3 4 -7 (1 6 1 c. ...

A: Ghj

Q: 3. (a) What is the slope of the curve y = 2x* – x³at x = 1? sin x (b) If y = dy find dx 2 (c) Find t...

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Q: Note: F=9 K=6 9х — (F — 11) a. Find the solution by graphing. b. Check if the point (F-16, F+4) is ...

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Q: f(x) = alog,(cx d) the x -axis and the line x = 9 using Midpoint Riemann Sum with 8 equal intervals ...

A: 1st we will find range of blues of x and then divide it into 8 sub interval. Then apply mid point ru...

Q: Find the fourth iteration value of an extremum (maximum/minimum value) of 3 f (x) =acos (bx) +cx+d i...

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Q: Consider the experiment of tossing a die. Let A be the event of obtaining a number less than 4. Let ...

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Q: Classify the following D.E by order and linearity and also the degree of the D.E

A: Given: 1) d2Pdt2+dPdt+P=sin(P+t) 2) y''+2y'-x2=csc(2x)+y-8 To classify: Given differential equations...

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Q: Find the differential dy or evaluate the differential of any function at the given point. Match the ...

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Q: Tasks: 1. Make a scatterplot. Does the data seem to be trending linearly? 2. Calculate the Et, Ey, a...

A: 1) scatter plot as the points fall along a line thus, we can say the seems to follow linear trend. ...

Q: Find the first six terms of the sequence defined by each of these recurrence relations and initial c...

A: In order to find the first six terms, we will substitute n=0,1,2,3,4,5 in the given recurrence relat...

Q: (a) Let u,v and w be vectors in R³. The volume(u, v, w) is given by determinant of [u v w]. (i) Deri...

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Q: For the circle x2 + y? = 2, which of the following is the equation of the tangent line at the point ...

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Q: [1 a b Let A = 0 5 2 0 0 1 (а) (i) Determine the condition of a and b so that A is diagonalisable. (...

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Q: fomily of pone - members of the formily. Find the differential cquotion of te Curves ck scribed. Dra...

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