Find the value of a,b ∈ R ,so that the following sets of functions are linearly independent for all x ∈ R sin(ax), cos(bx)

Q: Let V be the set of all 2 × 3 matrices. Verify that V is a vector space.

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Q: Find the solution to the system of equations: Find the solution to the system of equ y – 5x =– 2 5y ...

A: 1. Given y - 5x = -2     ---(1) 5y = x - 10     ---(2) from (2) x = 5y + 10 By putting the value of ...

Q: Find the measures of the numbered angles of the given figures. Show your solutions: Rhombus SRUT (fo...

A: Since there are multiple questions, we will answer the first question. Post the question again and m...

Q: Sketch the graph of the curve with the polar equation: r=2– sin(20).

A: To draw a polar graph we need to check its symmetricity by using following   #  In the first test, w...

Q: Find the general solution of the following homogenous linear equations: 3. (9D²– 6D + 1) y = 0

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Q: 1. Determine the magnitude and direction of the resultant. 300KN 250 +N 50° 12 30 200KN 360KN

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Q: 3. Prove that p is irrational for any prime p.

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the third question.  Please...

Q: E. Solve the differential Equotions O Czxy + xIn3x)dy + xtyJdx *0 (2xy + xIn 3x)dy+ (xty) dx =0 (3 w...

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Q: f(x+2)-(3) . f'(3) = lim is 1. n-3 x-1 . f'(1) = lim f(4x+1)-(5) is 4. n-1 x-1 , f'(1) = lim f(3x2+6...

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Q: The first five terms in the sequence is 3, 8, 15, 24, 35 What is the next term? What is the 7th ter...

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Q: Let A, B, and C be subsets of a set S. Prove the following statements and illustrate them with diagr...

A: Definition(Cartesian Product): The cartesian product of two sets A and Bis the set of all ordered pa...

Q: Given the graph of f, sketch a graph for: a. – f(- x) + 3 b. 4f(4x) 5+ f(x) 5. -5 -5+

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Q: 1 plus 1 is equals to? and why?

A: Given: Determine and 1 plus 1 equals and its reason.

Q: Exercises (11): Find y if 1. 1 + V1 – x2 y = xcsC 2. sin (x + y) = cosxy = COS

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Q: Practice Use V = B x h or V = |X w x h to solve. 9. What is the volume of a box that is 14 inches lo...

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Q: Let f( x,y(x) ) = y(x) +1 and y(0) = y0 = 2. Use pichard iteration and induction to show that yN (x)...

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

A: Use the identity cosα+β=cosαcosβ-sinαsinβ Use tan2x+1=sec2x to find cosine function. Use cos2x+sin2x...

Q: For items 31-35, consider the following data set which shows the time recorded, in seconds, it took ...

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Q: Let U = (-∞, x), A = [-1,6], B = [-6,2). In interval notation, determine AN B. Let U = (-0, 00), A =...

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Q: Find the general solution of 9y ′′ (t) + 12y ′ (t) + 32y (t) = t + et

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Q: 3. If f : [a,b] → R is a bounded function such that f(x) = 0 except for x in {c1, C2, .., Cn} in [a,...

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Q: For items 46-50. Using a truth table, determine if the compound proposition -(rAs) +(¬sV¬r) is a tau...

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Q: 1. Create your own function f(x) of the form F (x) = f (x)·g (x). In other words, F(x) is a product ...

A: Since you have asked multiple question, we will solve the first question for you. If you want any sp...

Q: 1. y = xcsc + V1 – a?

A: As per our guidelines we are supposed to answer only one question you can repost other questions in ...

Q: (-9 -5 12 (11 -3 1 Given matrix A = 6 -4 -5 B = 7 3 -7 -2 2 -9. For the following, use fractions (do...

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Q: Find (dy)/(dx) by implicit differentiation, where 4x^(5)+5x^(3)y−4xy^5=−8 (dy)/(dx)=

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Q: Evaluate the second derivative of Z F5.png sin (b Vr2) f(x) = acosh cx3 if a = 5.54, b = 3, and c = ...

A: Introduction: There are three approximation formula for determining the derivatives of a function at...

Q: Determine the equilbirum price (p) and quantity (q) if P = 4/25 q + 50 %3D and q= 100p + 6500/7

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Q: Ronald McDonald, a fast-food worker, earns $11.50 per hour. He typically works 36.25 hours per week....

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Q: Marianne left the house with a jug containing 4 liters of water. She drank ¼ of the water in school,...

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Q: Note: F=9 K=6 (F+2)y+(F-12)x+2z 3. Draw the graph of the linear equation: = 4z + 7. %3D (K+2)

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Q: 8 -4 2 Compute each matrix sum or product if it is defined. If an expression is undefined, explain w...

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Q: f(x, y) dx dy -2 Jo

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Q: Graph the following functions with Desmos or by hand. Ide umbers and determine which are stationary ...

A: In the given question, the concept of maxima and minima is applied. Maxima and Minima The extrema of...

Q: For

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Q: Let A be the set of students {Tom, Jim, Lisa, Mary}. Let B be the set of courses {C100, C200, C300}....

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Q: 3x, + 3x2 + X3 =7 ーX、-X2 =-3 2X, + 2x2-Xメ3 - 8 |

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Q: Find the period of the linear congruential generator defined by (a) a = 2, b = 0, m = 5 (b) a = 4, b...

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Q: 36. Let the universal set U = {r | x is a non-negative integer}. Let A = {x E U | x is divisible by ...

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Q: Consider the exponential graph sketched below where k(ny The asymptote of k is y= 0. k is the result...

A: The graph of the exponential function k is given. It is given that kn=Tn. The graph k is the result ...

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

A: We can solve this using substitution method

Q: Item 57 refers to the following diagram. 35 12 m The diagram, notdrawn to scale, shows that the angl...

A: The given figure is as follows since alternate angles are equal therefore the marked angle ZXY is 3...

Q: The members of Math Club are to choose a representative among four candidates, M, A, T, H. The follo...

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Q: Factor 4x3 + 4x² - x - 1. O a) (x + 1)(2x + 1)(2x - 1) O b) (x + 4)(x + 1)(x - 1) O c) (x - 1)(2x - ...

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Q: Direction: solve and analyze each of the following problem in neat and orderly manner. Do this in yo...

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Q: n of a particle 5. v!(0) = 20 v

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Q: 6. School children were surveyed to determine their favorite Justice League character. The students ...

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Q: Golden Gate cables The profile of the cables on a suspension bridge may be modeled by a parabola. Th...

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Q: 3. Which of the following is logically equivalent to [(-p V q)^(¬p Vq) ^(-p Vr)]→[(p V q)A(¬p vq) ^(...

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Q: Find the general solution of the following hom 3. (9D² – 6D + 1) y = 0

A: Solution :- we can solve one question at a time . so, we solve the 1st one  The given differential e...