Write an equation in standard form of the line through points (4, -3) and (4, 2).

Q: The volume of a rectangular box is modelled by the polynomial V(x)=x³-13x²+54x, and the volume of…

A: Given data: Let us consider the given data, Vx=x3-13x2+54x. The volume of the box is 72 cm3. i.e…

Q: 3. Find the greatest digit if possible, that makes each of the following statements true. a. 6 87 4…

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Q: Write an equation of a circle with center at (6, 7) and a radius of 3 cm.

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Q: Which of the following is the greatest common divisor of a and b where a = 2³.54.75. 114 and O O O O…

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Q: The remainder, when 6x4+7x2-3 is divided by x + 2, is Select one:

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Q: Question 10: Find A, when T (A-¹-212) = = -5 -5] -5

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Q: We want to find the dimensions of the rectangle of maximum perimeter that can be inscribed inside…

A: We have to find dimensions of rectangle of maximum perimeter using given data.

Q: Set up a triple integral ( do not evaluate ) to find the volume of the solid enclosed by the…

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Q: Determine whether each of these functions from Z to Z is one-to-one. a) f(n) = 3n+3 b) f(n) = n²+1…

A: We have to determined whether this function from Z to Z is one to one. As per our guidelines we are…

Q: No hand written solution and no img  A square poster had 9 in. added to it's width and 2 in.…

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Q: Suppose ₁ and ₂ are true mean stopping distances at 50 mph for cars of a certain type equipped with…

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Q: An anemometer recorded yesterday's wind speeds. The strongest wind gust was 43 miles per hour. The…

A: Given: Strongest wind gust=43 mph, Second strongest wind gust=39 mphTo find: How much stronger the…

Q: For each of the following square matrices 0 1 [J[J] 0 1 0 find (a) its eigenvalues, (b) its singular…

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Q: 1. What is the number of possible outcomes when a coin is tossed 7 times? a. 49 b. 14 C. 128 d. 9

A: A coin has two sides . So when tossing a coin we have two possibilities.  One is head another is…

Q: Solve the initial value problem below for the Cauchy-Euler equation. ty'' (t)- 7ty' (t) + 12y(t) =…

A: The given differential equation is          t2y’’(t) - 7ty’(t) + 12y(t) = 0  . . . . . . . . . . (1)…

Q: Let A be the (3x3) matrix that describes the rotation by angle π/3 around the line through the…

A: As per the question, we are asked to find the real eigenvalues (with multiplicity) of a 3×3 matrix…

Q: Exercise 7.3.2 Show that {a+bx+cx², a₁ +b₁x+c₁x², a₂ + b₂x+c²₂x²} is a basis of P₂ if and only if…

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Q: Remark: This problem is the case that the coefficient matrix has complex eigenvalues. This case is…

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Q: K Compute the determinant by cofactor expansion. At each step, choose a row or column that involves…

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Q: Use the Adams-Bashforth three-step method (by hand) to approximate the solutions for the following…

A: We have to use the Adams-Bashforth three-step method (by hand) to approximate the solutions for the…

Q: 2. Find the volume of the solid of revolution generated by revolving the region bounded by y = x² +…

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Q: 5. Find the coefficient of a¹¹b4 in the expansion of (a + b)¹5.

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Q: Show that (p(x), g(x)) = p(0)q(0) +p(1)q(1) + p(2)q(2) defines an inner product on P2.

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Q: Consider the following system of differential equations: dx dt - x + y = 0, dy dt + 4x + 2y = 0. (i)…

A: Given: A system of differential equation : dxdt-x+y=0 , dydt+4x+2y=0. To Find:  i) Write the system…

Q: 1. Find the volume of the solid that lies between the graph of y=√1-r and y=-V1-r whose cross…

A: Advance maths

Q: Question 9: Find conditions on a, b, c, and c such tha commutes B if a b A = [] and [-1-1] 41 B c d…

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Q: Consider the solid bounded by z = 4 x, X = 6 - 4y, x = 4y, x = 0, and z = 0 with density function…

A: The given solid is bounded by z=4-x. x=6-4y, x=4y, x=0, z=0, with density function δ(x,y,z)=38xy…

Q: a. Use the appropriate formula to find the value of the annuity. b. Find the interest. Periodic…

A: Periodic deposit amount P=$3000 Interest rate r=6.5%=6.5100=0.065 Compounded annually  , n=1 Time…

Q: Suppose f(x) is defined for all real numbers and has continuous derivatives of all orders for all…

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Q: 1. (a) Approximate f(x) = (1+z) by finding Ts(r) (the 5th degree Taylor polynomial of f) centered at…

A: Note: As per our Guidelines we can solve first parts as your all parts are not small . But I tried…

Q: Let f(x) = x² sin(x). Which of the following is a power series about base point O for In the choices…

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Q: Consider the following matrix: 3 3 -3 -33 A = -1 0 4 4 2 3 5 3 3 10 Give a set of vectors that spans…

A: Introduction: The image space of a matrix is the set of all vectors that can be obtained by…

Q: Find the general solution to the non homogeneous equation : y^2 - 2y - 3 = 3 + 4 sin(2t).

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Q: 5. f(x, y) = y(x² + y²)¯¹; y≥ ½⁄/1, x² + y² ≤ 1

A: The given region is y≥12, x2+y2≤1. The given function is f(x,y)=yx2+y2-1. To Sketch: The given…

Q: -3t πT L (0/2) = ₁ a √5 +4+3 a √t

A: Solution:

Q: Find the solution of the given initial value problem. where Oy(t) = uh(t)-uzh(t-2n) where h(t) =…

A: given g(t)=4π≤t<2π00≤t<π,t>2π By the definition of Laplace Transform: L[g(t)]=∫0∞g(t)…

Q: Prove by induction that for positive integers n, 13 | (42n+1 + 3n−1)

A: We have to prove 13|42n+1+3n-1

Q: 1. Calculate AB by two methods, first performing 2 matrix-vector multiplications and second by row-…

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Q: Find the maximum and minimum of f(x, y,z) = 2x + y − z subject to the constraints 2x + z = (2/ √5)…

A: We have to find the maximum and minimum of fx,y,z=2x+y-z subjected to constrain 2x+z=25 and x2+y24=1

Q: (b) Describe the set x2 + y2 + x2 0, z < 0 in spherical coordinates. ρε θε ΦΕ

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Q: Please answer this question in typed format.I will rate you for sure.   The total number of seats…

A: Given that the total number of seats in a baseball stadium is modeled by fx=2x2-10x, where x…

Q: This exercise should be done two ways: by hand and using technology where possible. Let --- 0-6 A =…

A: This matrix multiplication is allowed since number of columns =number of rows of A=2 And order of…

Q: 1. Find two roots of the equation f(x) = 2x³ -7x+2. Use Fixed point Iteration.

A: Given equation is  f x = 2x3 - 7x +2                  f 0 = 2 &gt; 0                  f 1 = 2 -…

Q: I. INTEGRATING FACTORS BY INSPECTION 1. + (x²-1² - m) dx + x (x² 1²³ + n) dy = o

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Q: Find the area of the region lying below the x-axis and above the polar curve r = 1 + sin(0).

A: Given polar curve is: r=1+sinθ To find: Area of the region lying below the x-axis and above the…

Q: One of the fastest times ever recorded for the 50 yard dash is 5.2 seconds. The following expression…

A: To convert the time of the 50 yard dash to miles per hour, you can use the following formula: Speed…

Q: 2. Explain why the system f x' {y'. 9 1 + f² + g² 1 + f² + g² trajectories as x' = f(x, y). y' =…

A: The given system of differential equations is: x'=f1+f2+g2y'=g1+f2+g2 The objective of the question…

Q: a city in Africa, an epidemic spreads during 50 weeks according to the model of a sinusoidal…

A: An epidemic spreads during 50 weeks according to the sinusoidal function given in the question. To…

Q: Give a proof of the biconditional statement: An integer when (n + 1)² - 1 is even. n is even…

A: Statement :  An integer  'n' even if and only if  n+12-1 is even . Which is a biconditional…

Q: Consider the following indefinite integral. I(t) = [1 + 18 di dt a. Find the full power series of…

A: Given the indefinite integral is                                      I(t)=∫t1+t8dt.