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Q: 2. The path taken by s = ²t² + ²/³ - ²/t² + velocity at that time? a particle is a horizontal line…

A: The path taken by a particle is a horizontal line as it moves according to the law:…

Q: D

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Q: Using the given data set, determine the interpolated value for x = 16 Use Newton's Method

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Q: 1. A particle moves horizontally according to the law s = t³-t²- 24t + 1. (a) Where is the particle…

A: The function f(t) is a rule that associates or fixes a number to the particular point t. If s=f(t),…

Q: Let u, v, w be three linearly independent vectors in R7. Determine a value of k, so that the set S =…

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Q: If f is a function from R to R, its graph can be defined as a plane curve using the parametric…

A: Curvature: The curvature of the curve given by the vector function r is:…

Q: Let p be a prime.a. Determine the number of irreducible polynomials over Zp of theform x2 + ax +…

A: For any fixed prime p, we have to determine the following : (a) The number of irreducible…

Q: = xy + xy ton x find PS when X=TI, xcosx + ty y = 377²

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Q: Find all values of k for which the given augmented matrix corresponds to a consistent linear system.…

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Q: Given the function h, find functions f and g such that h(x) = (gof)(x). h(x) = (3 + 8x)6 a. f(x) =…

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Q: Let T V W be a linear map. : Show that Range T = Span{Tv₁,..., Suppose V Tvn}. = Span{V₁,..., Vn}.

A: Given : T : V→W be a linear map and  V = Spanv1, v2, ... , vn. To show : RangeT = SpanTv1, Tv2, ...…

Q: Determine whether the infinite series En=1 convergent find the sum. 5) is convergent or divergent.…

A: Details are given in step 2.

Q: 11. Find the value of the (1,1) element of the following matrix that gives a determinant value of…

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Q: A babysitter earns $8 an hour for babysitting 2 children and an additional $3 tip when both children…

A: In this problem we want find out babysitter earning if he work x hours.

Q: An equation shown below for the terminal side of an angle θ in standard position is given with a…

A: given  -5x+9y=0 , x≥0 -5x=-9y⇒y=59x

Q: et A € Rnxn be a positive definite matrix. Prove that A-¹ and A² are also positive definite. Use the…

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Q: Use the graph below to find a 6 >0 such that for all x, 0<}x = o[ <8 + [f(x) - L|<s. 32 7(x) - √x…

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Q: Use the simplex method to solve the linear programming problem. when X₁ = Maximize subject to: B.…

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Q: Let A be a 3 x 3 symmetric matrix given by A = 2 -1 0 -1 0 2 -1 2 -1 Find an upper triangular matrix…

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Q: Determine if the given function is one-to-one, onto, both one-to-one and onto, or neither one-to-one…

A: Given function is y=fx=x2+x+1. To Determine: The given function is one-one, onto, both one-one, and…

Q: (a) Express the area enclosed by the graph of y = cos(x) and the line y on the interval [0; 2π]. (b)…

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Q: The graph shows a region of feasible solutions. Use this region to find maximum and minimum values…

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Q: 2. How many solutions could the following linear system have? ax+by=0 cx + dy=0 ex + fy=0 Give an…

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Q: Find (a + b)4 using the Binomial Theorem.  a = a4 + 4a2b + 6a2b2 + 4a1b2 + b4  b = a4 + 4a3b +…

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Q: Application of Green's theorem I Assume that u and u are continuously differentiable functions.…

A: Given: u and v are continuously differentiable functions.   To Prove: ∬DuxvxuyvydA=∫Cudv using…

Q: Use forward and backward difference approximations of O (h) and a centered difference approximation…

A: Given : fx=sin0.5xx , x=1.5 , h=0.2  To Find : first derivative by using forward , backward  and…

Q: Is these two sets open or closed? A₁ = {(x, y, z) = R³ : 0 < x < 1}

A: A1={(x,y,z)∈R3:0&lt;x≤1}If we make ball of any radius r on point (1,0,0).Then it will contain points…

Q: Express the following system of linear equations as a vector equation: -2x7+5x3 = -6 = -2…

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Q: Prove that a nonempty subset U of a vector space Vover a field F is a subspace of V if, for every u…

A: Given : V be a vector Space            : u+u'∈U , au∈U To Prove : U is Subspace of V(F)

Q: The integrating factor for the DE dy dx is: - sin x ecosxy = tan x + 2x OA.eecost B. e sinx O c.…

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Q: Find three distinct elements for the truth sets of the following statements: (a) x² - y² = 1, where…

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Q: Find the partial fraction decomposition 2x-1/(x-1)(x+3)(x+1)

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Q: 2. [x+y + 1) dx + (2x + 2y - 3) dy = 0, y (8)= -4

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Q: Problem. A tank initially contains 100 gallons of brine solution with concentration 2 pound of salts…

A: To solve this form, first we have to form a differential equation based on the information given in…

Q: Calculus    Verify Clairauts theorem for f(x,y) = 2xe^y-3ye^-x

A: Clairauts theorem is verified

Q: A basketball team sells tickets that cost $10, $20, or, for VIP seats, $30. The team has sold 3252…

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Q: Solution of the differential equation - ytanx = y cos²x = -cos zsin²z +c 2 y² cos²x = sinºz+c y³…

A: Given equation is in the form of Bernoulli's differential equation. To solve it, we will convert it…

Q: Svecosx de

A: To find : ∫xcosxdx

Q: Graph the following functions with a calculator and determine the Domain and Range. a) y = 2x − 1…

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Q: Calculate the volume generated by rotating the region bounded by the following curves about each…

A: The volume is found using disk method and washer method . Disk method : To find the volume of the…

Q: Find the values of a, b, and c that make the following matrix symmetric. 3 a 2-b 4 0 a+b 2 7 C…

A: Given matrix is 3a2-b40a+b2c7

Q: 7.³ 5. (a) Find y'(z) if y(x) = 1 + 2u² du. (b) Compute f'(e) if f(x) = -L (c) Find h'(x) if h(x) =…

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Q: TASK 1: INTEGRATION Another application of integration is in probability. This task applies your…

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Q: Determine the inverse laplace of 2s/(s2+9s+11)

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Q: Prove that the set B = {r € Q: 1² < 20 or r < 0o} is a cut.

A: In this question, we have to prove that the set,  B = x∈ℚ : x2 &lt; 2 or x &lt; 0 is a cut.

Q: sinx, h(x) = x² f(x) = 3x - 2, g(x) = sin x,

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Q: 3. Find the general solu (x+m) dy (nx where m, n, and p Express your answer

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Q: 3. Find how many times does 8.50% yields a 8.85% is compounded annually.

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Q: In Z3[x], show that the distinct polynomials x4 + x and x2 + xdeterminethe same function from Z3 to…

A: We know that ℤ3 is a field i.e., a commutative ring with unity in which every non-zero element has a…

Q: g) The curve assumed by heavy power cables manufactured by your Power division, and suspended…

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