C. Find the approximate Change in The volume of a circutar cone of base radis r and height h, by Increa sing rand h by Express aV in torms a Ve

Q: 4.8a + 6.5v – 12.65 = -13.9 %3D 5.2a – 3.6v + 4.7S = 6.8 -3.3a + 6.4v – 8.7S = 13.5 %3D Find the val...

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Q: Let A = {1, 6, 9, 10} and B = {5, 9, 10}. Indicate if each statement is true or false. 8 E A|Select ...

A: A={1, 6, 9, 10}B={5, 9, 10}

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

A: As V satisfies all vector space axioms, hence we conclude that it is a vector space over R.

Q: Suppose [1]. 7(t) = cet + cze' -3 - -1 -1 -2 j(0) = A B (a) Find C1 and C2. C1 = -3-2 - C2 = -1 (b) ...

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Q: Find the main, median and mode for the given data. 11,8,2,517,39,52,42

A: Given: 11,8,2,517,39,52,42

Q: > B .. .. .. A is the Mode, Bis the Median, Cis the Mean O Ais the Mode, B is the Mean, Cis the Medi...

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Q: 2. (a) Show that the polynomials p, (x)=1+x, p,(x)=1+2x–x², p;(x)=x+x² are Р. linearly independent. ...

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Q: 5. Solve the initial value problem -):) + ("). (29) - 6) d x1 -3 1 X1 dt 1 x2(0), x2

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Q: Let f(x) = x° + 6.4x. We will use the interval bisection method to find an approximate solution to f...

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Q: prelative to the basis S=(P. P2. P3) for P2. p = 20 - 30x +25x; P, = 5, p, = 5x, ps = 5x. %3D %3D %3...

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Q: Q 03: find the orthogonal trajectory of family of parabolas represented by the equation y? = 4ax Ans...

A: Given y2 = 4ax2y dydx = 4adydx = 4a2ya = 2yy'4= yy'2y2 = 2xy dydx

Q: The slope of a curve at (1, 9) is 6. Determine the equation of the curve when y" = 2. O z + 6z +5 O보...

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Q: Solution by Gauss seidel method. - 9х1 + 2х2 + Зx; 3D 7 X1 + 12x2 + 9x3 = 2 4x1 + 6х2 + 14х; 3D 1

A: Let x1 = a, x2 = b and x3 = c So Given equations are9a + 2b + 3c = 7a + 12b + 9c = 24a + 6b + 14c = ...

Q: Find the volume of the solid resulting from rotating about the x-axis the region under the curve 1 y...

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Q: (a) By using truth tables, check whether the propositions ¬(p ^ q) and ¬p v q are logically equivale...

A: Note: We are entitled to solve only one question at a time. As the specific question number is not m...

Q: E Divide 120 into 3 parts Such that he sum product faken 2 at a time Is a maximum. of the ir

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Q: Consider the differential equation: 2 9y"y" – 6(y')² = y" When making the change of variable v = y'i...

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Q: 3.4a + 7.0v - 13.2s = -11.39 -6.0a + 4.0v + 3.5s = 4.98 2.7a + 6.0v + 7.1s = 15.91|

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Q: Consider the power series f(x)=log(n)x" . The R.O.C. of f(x) is (a) 0 (b) 1 (c) 3 (d) o

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

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Q: Prove that f(z)=|z| is nowhere differentiable in C but is continuous everywhere.

A: Given function is fz=z. We have to prove that the function fz is nowhere differentiable in C but is ...

Q: The differential equation x- ди ди 2u satisfying the initial condition y = xg(x). +y %3D ty u = f(x)...

A: 2)     x∂u∂x+y ∂u∂y = 2uΓ:[ x, xg(x), f(x) ]1)[x,x,2x]Pdx0dt = Qd y0dt = Rd z0dt⇒P =x,  Q = x,  R = ...

Q: The cost function for a product is C(q) = q³ – 45q² + 675q + 920 for 0 < q < 50 and a price per unit...

A: Solution 

Q: Find d2 87 Xe Ing

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Q: 10. If z = 2 i, find z6. 2 A. i В. —i С. 1 D. –1 6 cis 90° 11. If z = find |7]. 2 cis 45° А. 4 В. 2 ...

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Q: If |G| = 30 and |Z(G)| = 5, what is the structure of G/Z(G)? What is the structure of G/Z(G) if |Z(G...

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Q: If So I; (x² + y²)sin(x)dædy = fo ,2 Sa(x² + y² ) sin(x) dydx then a, b are

A: if  ∫01∫y1x2+y2sinx dx dy =∫01∫abx2+y2sinx dy dx then find the value of a ,b

Q: Which of the sets below are equal to {1,3,5,7,9}? You may need to select more than one box. {1,3,5,1...

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Q: Activity 2: Find the derivative of each of the following functions: a. f(u) = (4u + 5)(7u² – 2u) 3s-...

A: Since  you have posted a multi subparts question according to guildlines I will solve first  three q...

Q: (; )x- ()

A: Given system is X.=06-70X+37 Let A=06-70 Let the eigenvalue be λ, so A-λI=0⇒-λ6-7-λ=0⇒λ2+42=0⇒λ=±42i...

Q: In the question that follows, the "units digit" of a number is the last digit in decimal representat...

A: 41 = 4 42 = 16 43 = 64 44 =256   Conjecture:- For all n&gt;=0, If n is odd then Unit digit of 4n is ...

Q: Construct proofs to show that the following symbolic arguments are valid. Commas mark the breaks bet...

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Q: (please solve within 15 minutes I will give thumbs up)

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Q: Question 3. Let n > 2 be an integer. Show that n is either a prime or it has а prime faclor < Vп.

A: Question: Let n be an integer such that n≥2. Prove that either the number is a prime number or it ha...

Q: 2) The top surface of a desk is composed of 2 rectangles and a triangle. Some side lengths of the to...

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Q: 1.8 1.6 S (3-2) (7- y²) dz dy -1.8 –1.6 using an adaptive Gauss-Legendre Quadrature method.

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Q: Find the inverse Laplace transform of 720/(s-5)^7.

A: using know results of inverse Laplace transform.

Q: 2. By replacing f in Problem 1 with certain well-known multiplicative functions prove (a) lH(d)| = 2...

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Q: Now we know the point on your curve y(x) occurs when t = x. Earlier you found y(t) = t2 +t + y(z) = ...

A: Solve the equation

Q: dy Find by implicit differentiation. dx (1+ e*) =4+ In (x + y), y - x Select the correct choice belo...

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Q: Use the roster method to list the elements in the set: The distinct letters of the word "senses". Us...

A: List the elements in the set.

Q: Consider the power series f(x)=log(n)x" . The R.O.C. of f(x) is (a) 0 (b) 1 (c) 3 (d) 0

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Q: V12(–1)" 37 (2n + 1) 1. Consider the series n=1 Use any test for convergence/divergence to show that...

A: We will use alternating series test to check series is convergent or not  Suppose that we have a ser...

Q: 2.Make a sketch of the following polar equation: r = 2 +4 sin 0 (r, 0). Determine also the tangent g...

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Q: show that outer product for two vectors not rotation and not commulative ? justify your answer

A: The outer product is defined as, Consider x=x1x2x3⋮xn and y=y1y2y3⋮yn are two vectors from ℝn. Then ...

Q: Let A, B, and C be three matrices of the appropriate sizes. Then, the following holds. AB = AC and A...

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Q: 3. Solve the partial differential equation a'z a'z dy

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Q: 1. . :) Determine the series solution to u' – tu = -², up to rª.

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Q: Compute f dx, where f(x)=|x |

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Q: Given a point in cylindrical coordinate (4, , -4 find its equivalence in spherical coordinate. Draw ...

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