QUESTION 20 Which of the following correctly evaluates 10P3 ? 10 x 9x8x7 x6x5x4x3x2x1 7x6x5 x4x3x2x1x3x2x1 10+9+8+7+6+5+4+3+2+1 7+6+5+4+3+2+1 10 3x7 10 x 9x8x7x6x5 x4x 3x2 x1 7x6X5 x 4x3x2x1

Q: 8. Find the indicated term of each harmonic sequence. 2. dai 1 1 1 1 a. 5'8' 11' 14' 10th term - 1 1…

A: Que (a)  Ans : find 10th term of sequence           1/5,1/8, 1/11, 1/14,......           8-5=3,…

Q: Section 14.2 1. Show that the function f(x, t)=a sin (bx) cos (vbt) (i) satisfies the…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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A: Substitute the first five natural numbers for n in the given sequences to obtain the first five…

Q: -c+d = 0 3+c-3d = -3c d = ( +

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Q: 1. Find the area of the region bounded by the given curves. Show the computed areas of sections…

A: Properties of integration  ∫xndx=xn+1n+1+C∫sinxdx=-cosx+C∫abf(x)dx=F(b)-F(a) where F(x) is anti…

Q: 26 8. Find the indicated term of each harmonic sequence. 1 1 1 1 a. 5'8' 11' 14' 10th term .... 1 1…

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Q: 5. Let x be a solution to the homogeneous linear system of equations Ax = 0, where A is an n xn…

A: Solution:-

Q: Using the Alternating Series Remainder Theorem, determine the number of terms N required to appro es…

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Q: and V2 3 1 and let A = -2 3 be the 9. Let v = 4 matrix for T : R R2 relative to the basis B =…

A: Given that                      v1=13 and v2=-14, and A=13-25 be the matrix for T : ℝ2→ℝ2 relative…

Q: 2. Solve the following homogenous differential equation dy 2ry = (a + 3y). |3D

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Q: 3. Consider a set of numbers B = {n E Z|1<n < 900} Answer the following questions. (a) How many…

A: Given a set of numbers B=n∈ℤ|1≤n≤900. a. To find the number of elements in B divisible by 4 or by 9.…

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A: When using a conventional normal distribution (also known as a Gaussian distribution): Approximately…

Q: Find the solution of the equation =e* cos y hich tends to zero as x - 0o and has the value cos y…

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Q: Find the convolution of the two functions: f (t) = 2t and g(t) = (Cos 3 t. %3D %3D

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Q: Q4/ Find the centroid of the shaded .area shown in figure below y =4² b.

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Q: Find a rational point on the plane conic 2x2+y? = 6 other than the points (+1,±2). Show all your…

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Q: The sum of the degree of vertices of a graph is always an even number.

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Q: Use the pie chart to answer the following questions. a. Which color of power ranger has had the most…

A: Given, Total character variations = 130 Also, percentage of ranger variations: Yellow: 17% Black:11%…

Q: How many numbers between 11 and 200 are exactly divisible by 7? Find their sum.

A: The nth term of an arithmetic sequence is calculated using the formula: tn=a+(n-1)d. The sum of the…

Q: 2. Consider the system -2x + y -2y and its corresponding direction field. (a) Skotch a number of…

A: Introduction: Slope fields (also known as direction fields) are a graphical depiction of the…

Q: et V = R?. For (v, v2). (W1, w2) E V and k eR define vector addition by: (v , v2) O (w1, w2) := (v…

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Q: 6. The points A(8, 3, 2); B(4,-1,2) and C(0, 3, 2) formed what kind of triangle?

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Section 2.4 In Exercises 1 and 2, we consider the system da = 2x + 2y dt dy = x + 3y. dt 3. Consider…

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Q: Which of the folowing statements does NOT contain a mistake? O The comelation coefficient…

A: Solution

Q: c. tn = 6tn-1 – 11tn-2 + 6tn-3 ;n > 3 to = 2 t1 = 5 t2 = 15 Result: C1 = 1; C2 = –1; C3 = 2

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Q: 2. Prove by the method of mathematical induction that for any integer n 21 the expression 8" + 13 is…

A: The solution is given as

Q: Solve the following Initial Value Problem using Laplace transform: y′′−9y′+8y=e−8t ;y(0)=1,y′(0)=1

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Q: 1. Let P(r1, yı) be a point on the parabola r = 4py, p > 0, with focus F(0, p). Let a be the angle…

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Q: Directions: On a separate sheet of paper, solve the system of linear equations shown in the upper…

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Q: ct the Fourier series for the function f(x) = (T-x)² for 0 <x < 2n ? %3D

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Q: 1. Points A(2,1,0), B (4,1,6), C(5,3,s) and E (-8,5,t) are the vertices of a triangular prism where…

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Q: B) Find for the folawing fumetion 2. 3.

A: The given function is:  w=x2+y2+z2,    ysinz+zsinx=0. To Find: ∂w∂yx, ∂w∂zx, ∂w∂zy.

Q: QUESTION 4 There's a special going on at the local pizza place for two one-topping pizzas. April…

A: According to Approval method, the winner is the thing that got the maximum number of votes.

Q: dy in terms of Differentiate parametrically to find dx t: x = 3t2, y = 6t A B 3t C) 3t D E None of…

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Q: G. Consider the permutation (1 3 5 4 2)(1 4 3 5). 1. Express as a product of disjoint cycles. 2.…

A: Product of Permutations

Q: 2. The following table shows the list of the math exams with student IDs registered for each course.…

A: From the given table it is concluded that Math 101 was held in 2001, 2003, 2004 and 2008. Math 201…

Q: Is it possible for a basis transition matrix to equal the identity matrix? Explain with an example.

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Q: (c) The solution of the following problem for the wave equation on the half-line: x > 0, t> 0, u(x,…

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Q: b) - a +b-c+d = 0 – 2a + b+c-3d = 0 a + 2b - 3c + d = 0 2a + 3b +4c- d 0

A: Let us considre the system of matrix Ax=b Using Cramer's rule, the solution of the system of…

Q: x3 – 4x – 9 = 0 flx) -x°-4x-g ca) bisection 6) false yoution txcel file !!

A: Given that fx=x3-4x-9 Let first find the interval where the root lies, therefore check…

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Q: If a typist makes errors at random at a mean rate of 3 per page, then the probability of making at…

A: Solution :-

Q: (ii) = 0.3r - 3ry dt = -2y + 0.1zy dt

A: Note: As you asked only Question2 (ii) part so, I answered here only part (ii).

Q: let fo) - X In (x) , using the following approximation formula for the secowd denvative 1. assuming…

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Q: 3. Find the indicated term in each arithmetic progression. a. a, = 4, d= 5, n=12 %3D 2. b. a d =-4,…

A: We have to find indicated term in Questions.

Q: dy in terms of t: Differentiate parametrically to find dx 1 y = +2 t+1

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Q: A clamped cubic splinc spedie for a function ļ on [o,3] is. given by o r x <l sCx) = i+ ax?_- 2x3,…

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Q: dz is equal to .. dt Let z= In (x2+y²) where x=ue"sin t and y = ue"cos t. If u= -2 and t=0 then -

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Q: 2 Use the Remainder Theorem to find P(c) P(x) = x + 3x2 - 5x + 1; c= 3 b. P(x)= 5x – 12x² + 7x + 1;…

A: given P(x) =x3+3x2-5x+1  We have to find P(3) using Remainder theorem  Remainder theorem:- if an…

Q: A man has 5 blue and 4 yellow balls in a bag. Without looking in the bag, he takes out a ball,…

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