(1) Without doing any calculations, explain why C(12,3) = C(12,9). (Hint: if you select 3 objects, how many are left?

Q: In step 2, how did you get the third part where it says limit 2^(n-1) x theta x sin(2^(-n)theta) as…

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Q: Let f(x) be a differentiable function and g(x)=(ƒ(x))³ – 3(f(x))² + 4f(x) + 5x + 3sin x + 4cos x V x…

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Q: determine a series of transformation that would map figure G onto figure H

A: Label the figure G as ABCDE. Reflect this figure over the x-axis. We will get the reflected figure…

Q: Compute the distance between the following vectors: V = W =

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Q: 1 f 1 + then vu Select one: O a. O b. O C. 1 O d. 1 u+v f v=u+f 1_ƒ+v fv u 1 UV u f+v fv

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Q: Transform: f(t) = sin 2t cos 2t F (s) F (s) F (s) = F (s) : F (s) = = = = F (s) = = F (s) : = F (s)…

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Q: A point on the hypotenuse of a triangle is at distance a and b from the sides of the triangle. Show…

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Q: a.) Use long division to rewrite the function f(x) = 6x−3/2x+1 as the sum of a constant and a…

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Q: The cost structure for iPhones are as follows, fixed cost of $25 and variable cost per unit of $2.…

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Q: A certain brand of cars captured 17% of the market. If 3 cars are selected at random, the…

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Q: For the selected cell create Dantzig's closed path, and specify the maximum amount of goods possible…

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Q: Find the equation of the resulting graph in the form y = ax³ + bx² + cx + d. 1- tan² x Prove the…

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Q: Q#2 Please prove the following trig identities/equalities using the above tools. To do so, start…

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Q: Plot the points whose coordinates are given. * (21) a. b. 3, π 3π - 4' 4 S

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Q: Find a value for in approximating the integral. to ensure that the absolute error n x cos x d by the…

A: Given that the  absolute error is less than 10-3 We know that the composite error in trapezoidal…

Q: 6. (Solve by "Trial and Error".) Below is a floor plan of an art gallery. Is it possible to take a…

A: Using hit and trial way can be found which passes through all the gates only one.

Q: Evaluate Jr se x sec² (xy) dV, where R : 0 ≤ x ≤ 0≤ y ≤1.

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Q: The function f(x) = |ax - b| + c|x| : x in (-∞, ol where Find the

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Q: You are purchasing a home for $150,000 at an 8% APR.  Your loan period is 360 months.  If your…

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Q: b. Anugal Lake contains 100 cubic kilometers of pure clean water. It is fed pure water by Maya River…

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Q: 2) a) Classify the following sequences: (i) 6.5, 9.75, 13, 16.35,........ (ii) 4 8 16 33 9' 9' 9' 9…

A: Please find the answers in next step.

Q: Find an equation in cylindrical coordinates for the rectangular equation x² + y² = 10x

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Q: 14. An inverse ratio is the reciprocal of a given ratio. Gear A has 96 teeth, and gear B has 12…

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Q: Show that the segment of the tangent to the a+√√a²-x² 2 -√a²-x² contained betw 2 a-√√a²-x² y-axis…

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Q: If the sum of the lengths of the hypotenuse and another side of a right-angled triangle is given,…

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Q: . State whether the series converges absolutely, conditionally, or not at all. ∞     n = 1(−1)n + 1…

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Q: By dragging statements from the left column to the right column below, construct a valide proof of…

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Q: et y(t) satisfy the following 2nd order ordinary differential equation: " — 5y' — бу = 3, with…

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Q: Find the value of the line integral of f(x, y) = -3x - 10 over the curve C parameterized by x(t) =…

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Q: Find the unit vector u which points in the direction of the vector v = TOE Enter the vector u in the…

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Q: sin²x, - TO T X<2 Find the intervals in Let f(x)=sin³x+λ 2 which should lies in order that f(x) has…

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Q: 2F. n 1 ;;1=2" (b), (26)

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Q: Let a, b, c E R. Prove that a - b < c if and only if b-c<a<b+c.

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Q: Find the x²y" − 5xy' + (9 + 2) y = 0, y(e−¹) = 0, y(1) = 0. - eigenfunctions for the following…

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Q: Which word is used to refer to the "orientation of an object": heading pitch attitude bank Oheading…

A: in geometry,  orientation of object means how a plane or object occupies in space.  similar word…

Q: Solve part b. of question 2.

A: 2) Given differential equation is y" + 2y' + 2y = h(t) , y(0)=0 , y'(0)=1

Q: Let d be the function on R x R defined by S |xy, if x - y ≤ 2, and { = 2, otherwise. d(x, y) = s a…

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Q: In cartesian product, prove that (A-B)XC=(AXC)-(BXC) A,B,C are sets

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Q: What is a disadvantage of Euler angles? O Euler angles are harder for humans than matrices O Euler…

A: Disadvantage of Euler angle is that  Euler Angles suffer from singularities and are difficult to…

Q: Consider the hyperbolic functions, and their inverses, as real functions of a real variable. (a)…

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Q: -27 The inverse Laplace transform of s² + 81 is Asin(bt), where A and b are constants such that b> 0…

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Q: In exercises 13 - 15, let S be the hemisphere æ² + y² + z² = 4, with z ≥ 0, and evaluate each…

A: Kindly refer to Step 2 for the solution.

Q: A produce buyer for a juice company is buying pears. He makes a choice of either Wisconsin,…

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Q: Suppose the bank account had been opened when Marcus started Kindergarten. Describe how the…

A: Answer)  For part-d is below.

Q: Observe the following pattern: 1 + 3 = 22 1 + 3 + 5 = 32 1 + 3 + 5 + 7 = 42  Find the next two lines…

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Q: Define the linear transformation T by T(x) = Ax. Find (a) ker(T), (b) nullity(T), (c) range(T), and…

A: Given linear transformation T by T(x) = Ax

Q: a. Solve for the function y that satisfies dy_t(y + 1) + (y + 1)² t² = dt (y(e) = e²

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Q: The human resources director for a commercial real estate company received the following numbers of…

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Q: Find the expected value for the random variable. 9 12 15 18 21 0.14 0.24 0.37 0.18 0.07 Z P(z) E(z)…

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Q: 1. f(t) = (2e-4t + sin t)²

A: The given problem is to find the Laplace transform of the given function f(t)=(2e-4t+sin(t))2.