Find the quadratic polynomial whose graph passes through the points (1, 18), (2, 35), (3, 60). NOTE: Use the variable z in your answer.

Q: 3. Given the following system: x, - 2x, + 2x, + 3x, = -1 -3x, + 6x, + x, + 5x, =-11 2x, %3D 4x, 2x, ...

A: Given: Let us consider the given systems, x1-2x2+2x3+3x4=-1 -3x1+6x2+x3+5x4=-11 2x1-4x2-2x3-6x4=10 (...

Q: Consider the vector field F = p? + yzi+ + In(s* + :² + 1)k „j + In(=* + :² + 1)k 12 + y²" defined on...

A: We will use the basic knowledge of vector calculus and integral calculus to answer this question.

Q: Refer to the System of Linear Equations below. 4x1- X2- X3 3 -2x1 +6x2 +x3 = 9 -X1 +x2 + 7x3 = -6 Us...

A: We can solve this using Jacobi method and find value of x3 in the second iteration Instead of x1, x2...

Q: 7. (a) Find a cubic polynomial, q(x), such that q(0) = cos 0, q = COS = coS q (T) = cos ㅠ. 3 3 (b) P...

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Q: such that ab = 1 b) : In Z3XU3, Find the order of (1, 2). Show your work.

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Q: 7. Find all points of intersection of the r= 3sine polar curves: such that r= 1+sine

A: We equate the two equation to find solutions.

Q: One well-known bread store is franchising in Metro, they sell their bread depending on the taste of ...

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Q: 4 3 1 let A = -1 1 -3 Find a basis for the eigenspace corresponding to the eigen- 4 9. value A= 3

A: given  A=423-11-3249 find a basis for the eigenspace corresponding to the eigenvalue λ=3

Q: Using Bisection method find the solution of g(z) = 2z – 3 sin(z) = 8. Use as initial values n and 2n...

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Q: Which of the following is the correct formula for the forward difference approach of numerical diffe...

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Q: 1) Let p be a prime number. Show that Z) := {EQ| p does not divide b is a subring of Q with only one...

A: Solution:-

Q: a) Four married couples have bought 8 seats in the same row for a concert. In how many different way...

A:   (a) Given that four married couples are sitting on seats in the same row. To find  (i) in how many...

Q: a) If a speedometer’s absolute error is 2 mph and it measures a speed of 60 mph, what is the relativ...

A: a) given absolute error = 2mph measured value = 60 mph what is the relative error of this measuremen...

Q: B. Evaluate each expression. Given Working Outs Answer 1. P (6,2) 2. Р(33) 3. P (8,2) 4. P (5,3) 5. ...

A: To evaluate the following permutations, P(6,2) P(3,3) P(8,2) P(5,3) P(9,4) Solution is given in th...

Q: (2x2 + 3)3 1. (5x3 + 5)3

A: As per the company rule, we are supposed to solve one problem. Therefore kindly repost the remaining...

Q: Consider the region R bounded by y = sin x , y = cos x , x = π/6 and x = π/4. Set up the integral th...

A: Given : The equation curve is y=sinx and y=cos x, x=π4 and x=π6.

Q: Question 1: a) A function is given by f(x) = 5x3 - 6x2 + x - e*. Find the slope of the tangent line ...

A: Solution:-

Q: Given that cos A = 3s. Find the tangent of A. Select one: O a. (1- 9s² )^( ½ )/3s O b. (1- 9s² )^( ½...

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Q: -1 3 5 7 3 -1 6 3 2 4 -2 Given: A = 2 -1 1 4 -2) Find: |A|| 3. 2. 1.

A: Solution

Q: 16. (i) Is the binary operation a *b = a + b – ab commutative for all real numbers a, b? (ii) Is the...

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Q: 1 а Given: A = B = 2 b a If: |A| = 4 and B = 1; find: a + b?.

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Q: What is the derivative and second derivative of S = KBln [(NcNC ) / (mm(Nc-m)(Nc-m)] ? Showing that ...

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Q: Errors associated with both calculations and measurements can be characterized with regard to the fo...

A: Correct Anst is Prediction.

Q: Find the first three values of the linear congruential generator X; = 2x;–1 +3 (mod 13) starting wit...

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Q: dx using 4-segment Trapezoidal Rule? 1+x What is the estimate of the integral a. 0.708334 b. 0.69702...

A: Given: Let us determine the estimate of the given integral ∫01dx1+x using the 4-segment Trapezoidal ...

Q: Any possible arrangement of 8 letters is considered a word.  The letters are taken from 21 consonant...

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Q: What is the real number of z= 7-9i ? Select the correct response: O Re (z)=-7 O Re(z) = 9i O Re (z) ...

A: What  is  the real number of  Z= 7-9i  ? 

Q: Please Find an equation of the tangent line to the curve y=5^x at the point (2,25) . Tangent line: ...

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Q: Let P(x) be the predicate “x > 1/x.” a) Write P(2), P( 1/2 ), P(−1), P(−1/2 ), and P(−8), and indica...

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Q: If tanh '() = 1- 12/3, then z = %3D In + 종 In O In In

A: As per the question we have to solve the complex equation and find the exact value of the complex nu...

Q: The value of x that satisfies f(xr)= 0 is called the (A) root of an equation f(x)=0 (B) root of a fu...

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Q: Which among the following is purely real? Select the correct response: Z= 6 Z= -1 +2i Z= 7-9i Z= -6i

A: A complex number is denoted by Z = (x,y) and is defined by Z = (x,y) = x+ iy where both x and y  are...

Q: Which type of triangle has three sides that are the same length? O A. Equilateral о в. Isosceles о с...

A: To find- Which type of triangle has three sides that are the same length? Equilateral Isosceles Sca...

Q: What is the horizontal distance of Lil's 1) landing zone from the plane? 2) What is the horizontal d...

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Q: 14. Fill in the squares using the digits 4, 5, 6, 7, 8, and 9 exactly one time each to make the smal...

A: In this problem, 6 digits are given. We have to make two 3-digit numbers using those exactly once.  ...

Q: A potato is dropped from a height of 36 feet. Its height above the ground t seconds later is given b...

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Q: X"+5x'+4x=2t^2+4 with IC x(0)=3 and x'(0)=1 Find x(0.25) to at least 3 decimal places of accuracy.

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Q: 1. Consider the function Sa(1 – x) sin r€ (0, 1), πε (0, 1) , - f (x) = %3D (0, x € {0, 1}. (a) Prov...

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Q: d) A company is offered a contract promising annual net returns of $22,000 for six years. If the com...

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Q: What is the imaginary number of z= -1 +2i ? Select the correct response: O Im (z) = -2 O Im (z) = 2 ...

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Q: Find the area of the composite figure below. (Hint: use Pythagorean to find the lengths of the squar...

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Q: What is the real number of z= -1 +2i ? Select the correct response: Re (z)=1 Re (z) = -1 Re (z) = 2 ...

A: Solution

Q: e) In a net present value (NPV) analysis it is found that proceeding with a contract with required r...

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Q: Find linearly independent vectors which generate al lutions of Ax = 0.

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Q: Identify the center and radius of the circle with the following equations then graph the circle. x^2...

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Q: x+24 - 2x−33 < 4 Find x

A: Given- x + 24 - 2x - 33 &lt; 4 To find- Find x

Q: (a) Find the exact value of the overshoot lim E 1/1- dx/x?

A: Given limn→∞∑j=1n1/j2-∫1πdxx2        

Q: Which is the correct permutation of 5 items taken from a list of 9 distinct objects? 45 15.120 126 5...

A: We have to find permutation to take 5 items from 9 objects.

Q: Write the first 5 terms of the sequences with general terms an below and indicate whether they are c...

A: Given series (i) an=3n+11-2n , (ii) an=(4n+1)3-n , (iii) an=3+(-1)n  and (iv) an=1+(-1)nn4 We have t...

Q: Evaluate: 5! ÷ 2! Your answer

A: The factorial of a positive integer number n is the product of the integer number 1 to n. I, e. n! =...