find the following limits if exist:- limx-0 1-cosx x sinx

Q: Let M be the capped cylindrical surface which is the union of two surfaces, a cylinder given by x² +…

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Q: 33. Given the function, defined in the range [0, 1], find the function P(x) defined in the range…

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Q: 1) If w= Inz, then the family of straight lines u = constant in the z- plane is mapped into 21 the…

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

Q: A. A company manufactures three goods, X; Y and Z, each of which is made from three types of input,…

A: Note:- As per our guidelines, we can answer the first part of this problem as exactly one is not…

Q: 4 Determine the values of r for which each of the following differential equations has solutions of…

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Q: If the slope of one of the pairs of lines represented by equation a³x² + 2hxy + b³y² = 0 is square…

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Q: Sketch the graph of the function y=f(x)=1-x with domain [-1, 1] and range [0, 1]. Find the domain…

A: What is Domain and Range of a Function: For a function depending upon a single independent variable,…

Q: z₁ and z₂ are the roots of 3z + 3z + b = 0. If O(C form an equilateral triangle, then find the value…

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Q: Let P2(R) have the inner product, (p, q) = f* p(x) q(x) dx, Vp, q € P₂ (R). Find the best…

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Q: 4. Consider the problem of estimating a root of the equation cos(2x) - x = 0 via Newton's method.…

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Q: Set A={1, 2, 3, 4, 5) and set B={Ford, Chevy, Toyota, Kia, Honda). Are sets A and B equivalent?…

A: Two sets are equivalent if they have same number of elements(members). So answer is option A

Q: Can linear systems with more than two or three equations be solved with the aid of calculators or…

A: To Describe " Can linear systems with more than two or three equations be solved with the help of…

Q: Resuelva por minimos cuadrados el sistem 5 3 3 453 354 2 1 5, Reporte x3 21 I2 I3 1 4

A: Least square solution of a system of linear equations Ax=b can be calculated by solving ATAX=ATb We…

Q: Find y(1) with h = 0.2. Find % &7. Use the Euler method and Improved Euler Method. Tabulate your…

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Q: Prove that for all a, b = R, the function f(x) = 3x² - 4x³ + 6x² + ax + b has exactly one point…

A: Given f(x) = 3x4 - 4x3+6x2+ax+b  f'(x) = 12x3-12x2+12x+a  To prove f'(x) = 0 has exactly one real…

Q: Find the amounts x1(t), x2(t), and x3(t) of salt at time t in the three brine tanks of Fig. 5.2.5…

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Q: Q1 Solve the following differential equations dx + (x+y)dy=0 X 2x (x² + 5)² (B) y-6y +9y=e" cos…

A: As per bartleby policy, I've answered only one question. Please upload the rest two under another…

Q: Find a quadratic equation whose product of roots x, and x₂ is X₁ X₂ equal to 4 and satisfying the…

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Q: 3.2 If the slope of one of the pairs of lines represented by equation a³x² + 2xy + b³y² = 0 is…

A: Given equation is a3x2 + 2hxy +b3y2=0 Let the slope of one line is "m" then slope of another line is…

Q: 5. Let vector A=-ä, +2r cos 0ä, +3ä,. (a) Express the vector à in rectangular coordinates. Express…

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Q: Suppose F(x, y) = 9 sin ( - ) sin ( ² )7 – 9 cos (₹) cos( 1 )³ and C is the curve from P to Q in the…

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Q: (3x² - 2y²) y' = 2xy

A: Given: The differential equation is (3x2-2y2)y'=2xy. To find: The solution of the given differential…

Q: 6. Show that x (t) = -20₁²-₂³ and y(t) = c₂e² the following system of differential equations. Cze…

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Q: For the following function models the position s(t) of an object moving along a stright line, where…

A: Introduction: The instantaneous velocity, which is frequently referred to as just velocity, is the…

Q: 8. Diagonalisation Consider the matrix A= 9 -6 -12] -13 -24 11 -2 ܚܪ ܝ 6 i. Determine the…

A: Given : A=9-6-128-13-24-2611 To find : (a) characteristic equation Dλ             : (b) use…

Q: Prove that the Voronoi cells induced by the single-nearest neighbor algorithm must always be convex.…

A: Given: Two points x1 and x2 in a cell, all points on the line linking x1 and x2 must also lie in a…

Q: find the sum of squares of all roots of the equation 248 17+4²²_2²+x²4-n²+x²-x+1 - H

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Q: Solve the system 1 2 3 4 || +s 1 1 +x2 2 +X3 3 +4 +4 || = || ܒ ܝܕ ܚܘ -3

A: The given system of linear equation                                           x1+x2…

Q: 1) FIND THE MAGNITUDE OF THE VECTOR = (7,14,1) 2) USING THE CONCECTS OF VECTOR ALGEBRA, FIND THE DOT…

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Q: find the interpolation points and the control points for the Bézée curve:   X(t)=1+6t^2+2t^3…

A: Hint: consider   (x1,y1)   and     (x2,y2)   are interpolating points and    (x3,y3)   and…

Q: 3) Use the Euclidean algorithm to find (662,488) and express it as a linear combination of these…

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Q: 2. Find the value of each variable a, b, c, d, e, and f using Cramer's rule. 2a-b+3c + 4d + 9e +8f a…

A: Consider the system of equations: a1x+b1y+c1z=d1a2x+b2y+c2z=d2a3x+b3y+c3z=d3   Using Cramer's rule,…

Q: -351 ye dc -3 tanx dx t. tan x (e-casx) dy =0

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Q: Prove by mathematical induction that for any integer n>0, 1 3 X4 X5 + 2 4x5x6 + + n = (n + 2)(n+3)(n…

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Q: 5. 6. Compute the general form of the following anti-derivatives: r² dr (a) [ 2². (b) √x-¹ [x²³dr=…

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Q: If a, ß are ordinals, then either a CB or BC a.

A: Given: α and β are ordinals. To check: Either α⊂β or β⊂α.

Q: Find a vector parametric equation F(t) for the line through the points P = (1,0,-5) and Q=(2,3,-7)…

A: The vector parametric equation of the line that passes through the points: A=x1, y1, z1, B=x2, y2,…

Q: 10. Let D be the solid inside the cylinder r= cos , above the xy-plane and under the paraboloid…

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Q: Prove that 3n+2 and 5n+3 are relatively prime for every integer n.

A: 3n+2 and 5n+3 are relatively prime for every integer n.

Q: The audience of a movie theatre is 400 people consisting of adults, teens, and children. The ticket…

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Q: Find a quadratic equation whose product of roots x, and x₂ is X₂ equal to 4 and satisfying the…

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Q: In Problem. apply the successive approximation formula to compute yn(x) for n 4. Then write the…

A: Given,         dydx=-2y, y(0)=4.

Q: The Margaria-Kalamen test is used by physical educators as a measure of leg strength. An individual…

A: Using definition of derivative we can find the solution for(a) .  And using definition of line we…

Q: x²³dx + ydy fr อ

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Q: ای )porve ereco if: er f= 3² szt.dt de

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Q: Solve the equation. The letters a, b, and c are constants. X= b+c b-c x+a x-a , c#0, a#0

A: b+cx+a=b-cx-a⇒(x-a)(b+c)=(x+a)(b-c)⇒bx+cx-ab-ac=bx-cx+ab-ac⇒2cx=2ab⇒cx-ab=0

Q: In the following system Problem, categorize the eigenvalues and eigenvectors of the coefficient…

A: given system x1'=-3x1+4x2x2'=6x1-5x2 phase plan of given system of equation this can be written as…

Q: Resuelva por mínimos cuadrados el sistema: 1 2 13 14 15 6 1) 0.2 0.35 0.45 0.4 Escriba en orden las…

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Q: Use the divergence theorem to calculate the flux of the vector field F(x, y, z) = −1xyi – 2yzj —…

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Q: If w and af are the nonreal cube roots of unity and [1/(a + c)] + [1/(b + w)] + [1/(c + w)] = 2w²…

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