Assume that you are dealing with three squares and a right triangle, what is the area of the following figure when a = 9, b = 12, and c = 15? C I b a 150 squaro

Q: a) Find all solutions of the recurrence relation an = 2an-1+3⁰ b) Find the solution of the…

A: This is the problem of recurrence and generating function.

Q: b. lim -3/x 2

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Q: of K be a finite extension. Then |Emb_F(K, L)| ≤ dim_F(K), wher

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Q: Use multiple equation Newton-Raphson method to determine one of the roots of the following…

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Q: Subtract. 6√7-9√7

A: Solution :-

Q: 4. Solve each for angles between 0° and 360°. (Round final steps.) a) cos=-0.2186 b) 5-2 sin 0=…

A: This is a problem of counting. This is a problem of trigonometric calculations.

Q: Solve the linear system using both gaussian and gauss-jordan elimination 2x₁ + x₂ 3x3 = 4 = 10 4x1 +…

A: Given system is     2x1 +x2    - 3x3 = 4    4x1             + 2x3 = 10-2x1 +3x2 - 13x3 = -8

Q: Solve the following problems. A. Given the graph determine the following: 1. Absolute maximum value…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three…

Q: - 2 x₁ + 6x₂ + x3 = 9 - X₁ + X₂ + 7 x3 = -6 4x₁x₂x3 = 3

A: We can solve this using Gauss Jordon  method

Q: 3. Find all values for (a) Log(i√2+√2). (b) Log((1- - i)8). 2

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Q: 7. Suppose that f = u + iv is analytic and not identically constant. a) Show that uv is the real…

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Q: Consider the following VP: u" (1) + Au(t) +p (1)-sin(1) (1) w (0)-1 and u'(0) = -1, where -69 and…

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Q: Given a smooth function f such that f(-0.3) = 0.96589, f(0) = 0 and f(0.3) = −0.86122. Using the…

A: The 2-point difference formula is given by f'x=fx+h-fxh

Q: 3) Evaluate the iterated integral by converting. the to polar coordinates 2- ) √x²+y² dy dx dy dx…

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Q: Consider / = (2x + 1) dx with b > 0. If R₂ = 2 then the value of b is: O 1.5 1 05 0 2

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Q: Let T be the linear transformation defined by T(1, 2, 3, 4, 5) = − 8x₁ + 4x2 x3 +54 + 3x5. Its…

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Q: (f) Three of these transformations are shape-preserving. Which are they? UJ OK OL COM ON

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Q: 5) Use Intermediate Value Theorem to explain why the function has a zero in the given interval.…

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Q: We assign a complex number Am to each n-tuple of non-negative integers m = (m₁, ..., mn)…

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Q: (b) Let F₁ be the ordered basis of R2 given by 5-(8-4) and let F2 be the ordered basis given by F2=…

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Q: A roast turkey is taken from an oven when its temperature has reached 190 degrees Fahrenheit and is…

A: This is the problem of the Application of the Calculus.

Q: 2. Consider the function f(r). 2r²-9r-18 r²-r-2 (a) Sketch the curve y = f(r). (b) Find the area of…

A: Given equation fx=2x2-9x-18x2-x-2 Apply division algorithm to the fx fx=2-7x+2x2-x-2…

Q: Find an equation for the plane that is tangent to the given surface at the given point. z=√√y-x…

A: Introduction: The formula of the tangent to the plane F(x,y,z)=0 at the point a,b,c is given by,…

Q: Let G be a graph obtained from Kå after subdividing all edges of K6. So the graph G has 21 vertices.…

A: The graph for K6 is as follows:

Q: PROBLEM S Prove that in any bi-right quadrilateral CABDC, LC> ZD if and only if BD > AC. (Assume ZA…

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Q: Use the short truth table method to determine whether the following argume is valid.

A: Introduction: Consider the shortened truth table technique to be a game with permitted and…

Q: Q3. (a) Find the binomial expansion of (1-x)-1 up to and including the term in x².

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Q: 2. The height, h, in meters, of a car above the ground as a Ferris wheel turns can be modelled using…

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Q: . Find the coordinates of the vector v relative to the ordered basis B. a) B = {x² + 2x +2, 2x…

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Q: Determine the inverse Laplace transforms of: 2s²-5s-1 (a) (s+3)(s²+9)

A: The Laplace transform of the function f(t) is represented as F(s) or L[f(t)], it is defined as…

Q: Find the equation for (a) the tangent plane and (b

A: Given, the surface                      4z-x2=0 and the point P0(4, 0, 4).

Q: Romberg integration for approximating f f(x)dx gives R21 =7 and R22 = 7.21 then f(1) = 4.01 -0.5…

A: Solution :-

Q: Let C be the curve connecting (0,0,0) to (1,4,1) to (3,6,2) to (2,2,1) to (0,0,0) Evaluate Love (x*…

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Q: A corporation has three factories, each of which manufactures acoustic guitars and electric guitars.…

A: We will use the basic knowledge of matrices and percentages to answer this question correctly and…

Q: Using the stability criterion by means of bilinear transform (Tustin), find if the system is it…

A: Solution:-

Q: 1000 In X d. lim+ X

A: Solution:-

Q: 5. f(x) = 1 1- x² 2 7. f(x) = () = 3 ² x x² 2 9. f(x) = x4 + 16

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Q: TRUE OR FALSE 4. Logically equivalent propositions are tautologies. 5. To prove p→q by…

A: To determine: If the following statements are True or False: (4.) Logically equivalent propositions…

Q: 9. State domain, range, y-intersection, and the equation of the horizontal asymptote. y=1.5(2-x)+2…

A: Solution

Q: 2h² The degree of precision of a quadrature formula whose error term is 5 2 This option This option…

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Q: 1. Evaluate the given integral Q. (y - 2x) dA, R where R is the region bounded by ax = 0, y = x, x =…

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Q: Lea makes a double number line and starts with ×10, but then gets concerned. “That’s too big... I…

A: Given: The problem, "12 is 40% of what number?", whose answer is 30. Lea makes a double number line…

Q: 31 Let F be a field and let f(x) in F[x] be a nonconstant polynomial. Let K be the splitting field…

A: K is splitting feild. K=F(a1,a2,.......an) for ai roots for polynomial over F  we can prove it for…

Q: [² (x − y² + 1) dy dx x² +1 Your answer 2. Sketch the region of integration of the given integral Q…

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Q: s(1) = {" 0 1+ jwe ¹+jw (-w+j)² Given: f(t) a.) -t te -1<t<0 otherwise

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Q: (a) Let a family of curves be integral curves of a differential equation y'= f(x, y). Let a second…

A: Let the first family of curves described by the differential equation: dydx=y'=f(x,y)…

Q: The sum of the lengths of the two diagonals of a parallelogram is 18 m. One diagonal is 2 meters…

A: Let d1, d2 be the diagnols of a parallelogram given,  d1+d2=18d1=2+d2 ⇒d1=10, d2=8 Area of the…

Q: 7. Let S = [0, 1] × [0, 1] and ƒ: S → R be defined by f(x, y) (2x³+y², 10, Show that f is integrable…

A: Follow the steps.

Q: Let f be a given function. A graphical interpretation of the 2-point forward difference formula for…

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Q: y = 1 (x² - 1)(x² + x + 1)

A: Solution: Given  y=1x2-1x2+x+1 Now,