Problem 24: Given the equation of the parabola y? + 16y + 8x + 40 = 0. Find the coordinates of its vertex. А. (3, -8) В. (3, 8) C. (- 8, 3 ) D. ( 8, 3 )

Q: 2 -4 -6 8 Let A = 0 3 6 and b = -3 -3 5 6 -10 Select Answer 1. Determine if b is a linear combinatio...

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Q: 50. k! Σ (3k + 1)! k=1

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Q: 1. Express the following numbers in polar form and plot it in a complex form а. 3+4i b. -3+4i C. -3-...

A: We have to find the complex number in polar form.

Q: Consider the differential equation dy dy 4=x? ху =1, where x <2 and y=1 when x= 0. (a) Use Euler's m...

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Q: is said to be the Laplace transform of f, provided that the integral c Find L{f(t)}. (Write your ans...

A: Given f(t) = et + 2

Q: Find the constant term in the expansion (2y + 1) O 4032 4232 O 4323 4023

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Q: F(t) = 2T, 0 < t <3; F(t+ 3)u(t – -

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Q: Determine if the following functions are analytic or not: 1. f(z) = (z* + 1)³ – 3z* where z is the c...

A: (i) The  given function is ;               fz = z*+13 - 3z* We know that a function  f is analytic a...

Q: Determine if AĀBC is acute, obtuse, or right. Move points around to help you A(1,5), B(-3,-3), C(1,-...

A: We are given with three points as three vertices of a triangle. We need to tell whether ∆ABC is acut...

Q: 94° 56° 26

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Q: . In a simple model of territory, a single animal defends a circular territory of radius x (miles). ...

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Q: of piano in 1995 was $18500. In 2012 the average price of the piano was $25900. What is the percenta...

A: Introduction: The formula of percentage increase is given by, percentage increase=new-originalorigin...

Q: Maximum: none; minimum:

A: Option B is correct , we will use lagrange multipliers

Q: P that belongs to the line and direction vector v of the line. Express v in component form. P=

A: Introduction: The parametric equation of line passing through a point p=(a,b,c) in the direction of ...

Q: Solve the system using the inverse method. 4x + 3y = 26 4x + 2y = 20

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Q: Find the extreme values of f on the region described by the inequality. f(x, y) = e-XY; x2 + 4y2 s 1...

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Q: one like in the lesson, or you won't receive full credit.I Use your video notes. 1. 4 in. 12 ft 9 in...

A: Solution: Volume of cuboid is given by the formul: V=length×width×height Put values we get, V=12×5×...

Q: 2. Find the eigenvalues and normalized eigenvectors of the following matrix. Note: This one looks li...

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Q: 1. Which of the following functions have a derivative of zero? a) y=9.8 b) y= 11 5 c) y= -4+x d) y =...

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Q: Is 66 a square mod 127? Is 80 a square mod 127?

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Q: Determine the area of the region bounded by x = y² – y – 6 and 2y + 4.

A: According to the fundamental theorem of calculus ∫abf(y)dy=F(b)-F(a), where dFdx=f(x). The equation ...

Q: Find the Fourier Transform of the following function f(t): f(1) 1 1

A: First we have to write function which is in the given graph. Then we have to find the Fourier transf...

Q: D Express the following 3 complex form; e u! wof Jejod u! !h + e b.) -3+4:

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Q: Andy, Bandy, Candy, Dandy, Endy and Fandy wanted to form a school club. They have decided that there...

A: 2. there are 6 members in total Andy, Bandy, Candy, Dandy, Endy and Fandy we need to select one secr...

Q: 2. Find all solutions of each of the following linear congruences. c) 17x = 14 (mod 21) a) 3x = 2 (m...

A: Given: To find the linear congruence of d)15x≡ 9(mod 25)e)128x≡833(mod 1001)f)987x≡610(mod 1597)

Q: .Find the eigenvalues and normalized eigenvectors of the following matrix. Note: You won't be able t...

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Q: 1. Suppose T : R² → R³ is a linear transformation defined by -3] |- (F). {H H} (). T -3 T 6. 9 Find ...

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Q: 1. Determine whether the following vectors form a basis for R4. -2 124o

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Q: Find three non-trivial 2 x 2 matrices such that the square of the matrix is the zero matrix, i.e: A?

A: We want to find matrix A such that A2 = 0000

Q: Find the absolute maximum and absolute minimum values of the function f(x, y) 2x3 + 3xy + 2y %3D ove...

A: We have to find the absolute maximum and absolute minimum values of the function fx,y=2x3+3xy+2y3  o...

Q: Find the point at which the line meets the plane. x= -3+5t, y= -2+4t, z 3t, x+y+z= -5 The point is (...

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Q: Solve the following problems by using the inverse of the matrix involved. labor hour to polish; mode...

A: (a) Given An automobiles factory produces two models A and B.  Model A requires 1 labor hours to pai...

Q: 2.18. Halah drew right triangle A JKL. She then drew A RST, which was a dilation of A JKL by a scale...

A: Dilation is a transformation in which the shape of the image remains the same and its size changes b...

Q: Angela deposits $4000 into an account with an APR of 4.6% for 12 years find the future value of the ...

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Q: rỉ + 10x1x2 + x = as² + ßt²

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Q: . 4. Find y as a function of x if x?y" – 7æy + 16y = 0, 2. || y(1) = -5, y'(1) = -4.

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

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Q: f(x) = x sinx – 4 A. Find the root of this function in between the interval [6 , 7] using the NEWTON...

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Q: n average bathtub uses 8 gallons of water and an average shower uses 6 gallons. To provide baths for...

A: Given An average bathtub uses 8 gallons of water and an average shower uses 6 gallons.

Q: Analyze the sequence 1, 8, 19, 105, 503, 1746, 4793, 11159, 23045, 43468, 76391 using sequences of d...

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Q: Let f be a function whose graph is shown in the figure below: a) Express f(t) in terms of the step f...

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Q: Estimate the area under the graph of f(x) : 1 over the interval [- 1, 1] using ten approximating rec...

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Q: A jacket costa $75 and it is on sale for 56 % off . What is the discounted price of the jacket

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Q: Use a triple integral to find the volume of the solid bounded by x = y and the planes z = 0 and x + ...

A: To find- Use a triple integral to find the volume of the solid bounded by x = y2 and the planes z = ...

Q: Atticus college predicts that in 18 years it will take $250,000 to attend college for 4 years. Madis...

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Q: 1. Encrypt and decrypt the sentence “Pay more cash" using Hill Cipher with the key: 17 17 5 21 18 21...

A: First we convert given plaintext to 3x1 vectors then we use the key matrix to find the corresponding...

Q: $1,600,000 in her retirement account. When she turns 28, she decides to begin depositing money into ...

A: Introduction: The formula of monthly payments is given by, A=PMT×1+rkn-1rk Where PMT is the monthly ...

Q: Determine L{e5t cos2t}.

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Q: Consider the set V of all vectors of the form (x y 2)" where x, y and z arereal numbers 3. Show that...

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Q: olve a Related 12 foot ladder is leaning against a wal. If the top of the ladder slides down the wal...

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