Find the value(s) of t so that the tangent line to the given curve contains the given point. r(t) = 2ti+t²j-t²k; (0, -9,9) t= (Use a comma to separate answers as needed.)

Q: Find the equation y = Bo + B₁x of the least-squares line that best fits the given data points.…

A: Method of last squares

Q: Consider the following matrix: -18 0 5 0 20 -30 -3 10 0 40 0-30 0 A = 0 0 0 0-30 -15 0 5 0 17 a)…

A: A=-1805020-30-31004000-300000-30-1505017

Q: Ex: The average daytime temperature of a city is given by function D(t) = 5cos(301) 20⁰ where t is…

A: Given, The average daytime temperature of a city is given by the function D(t) = 5cos(30t)°+20°…

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Q: 8) Consider the following set of data: 13 7 19 46 25 45 14 THE (There are 28 data values) 10 8 6 23…

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Q: Solve the following partial differential equation with the given conditions: 8² u Ju Əx² Ət' u(-1,…

A: We are given the following partial differential equation with the given conditions.…

Q: Use the simplex method to solve the problem:  Maximize: P = 3x1 + 2x2  subject to: 5x1 + 2x2 ≤ 20…

A: We Use the simplex method to solve the problem:  Maximize: P = 3x1 + 2x2  subject to: 5x1 + 2x2 ≤ 20…

Q: Can i see the other 5 solutions

A: First 6 problems are already solved, hence I am answering remaining problems. i.e. the below…

Q: Calculate the rest of 12021 + 22021 + 3202¹ by dividing by 11

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Q: (c) L-¹ 2s 14 { (8+3)(8 + + +28+5) 4e-3s -1 s² (s+4)) (d) L-¹ {

A: As per the policy of bartleby the provisions is to solve only one question at a time  but here  I am…

Q: Problem: Using the language of differential forms, find the value of the integral of the vector…

A: Here, we need to find the integral of the vector field          A=2+z2∂x+y2∂y+2xz∂z along the curve…

Q: Use the vectorized Euler method with h=0.25 to find an approximation for the solution to the given…

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Q: 3-4₁1 2-22 2-₁ 3-2₂ B(z₂), C(3), and D(2) (taken in clockwise sense) are concyclic. If = k (k>0),…

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Q: #4

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Q: If I have a piecewise function that I want to write an f(t) for then take the laplace transform;…

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Q: Check whether a group of order 156 is simple or not.

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Q: A spring gun at ground level fires a golf ball at an angle of 45%. The ball lands 14 m away. The…

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Q: A fluid has density 600 kg/m³ and flows with velocity = xi+yj + zk, where x, y, and z are measured…

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Q: Let G be a finite semigroup. Prove that there exists e∈ G such that e = e^2.

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Q: Evaluate dxdy √√3x + 4y over the rectangle [0,3] × [0,4].

A: We find required integral by using Fubinis method.

Q: Evaluate the following integrals using contour integration ( 1 -dx 13+5sinx

A: A line integral is used to find the integral over a complex plane. The path of line integral is of…

Q: Outside temperature over a day can be modelled as a sinusoidal function. Suppose you know the…

A: Given, The temperature varies between 73 and 87 degrees during the day. The average daily…

Q: Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve. 元…

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Q: Minimize z = 3x + 4y subject to the constraints   3x - 4y ≤ 12, x + 2y ≥ 4   x ≥ 1, y ≥ 0.

A: Solution :- While solving problems , it is considered as x=x1 & y = x2 Problem is Max Z =…

Q: 3) A cylindrical hole is drilled along diameter of a sphere w/ radius R. Tk rady of the cylinder is…

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Q: 1. Let A = {1,2,3,4,5}, B = {3, 4, 5, 6, 7), and C = {2,3,5). (a) Find An B. (b) Find A UB. (c) Find…

A: As per the policy of bartleby the provisions is to solve only 3 subparts of questions at a time now…

Q: Find the center of mass of the region between the curves y=x and y=x^2 (Assume the region has…

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Q: Apply Green's Theorem to evaluate the integral. $(4y + x) +x)dx + (y + x)dy C: The circle (x-3)² +…

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Q: Take the function defined by the series f(t) = 2+1 cos(nat). Find the antiderivative which is in the…

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Q: Find all critical points of f(x,y)=x³+y³-3x²-3y²-9x and classify each as yielding local max., local…

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Q: Consider the following vectors: -9 -6 THE a= C= -6 -7 -6 For each of the following vectors,…

A: a→=3312, b→=-9-6-6-5, c→=-90-7-6

Q: A group of students wish to charter a bus which holds at most 45 people to go to an educational…

A: As this question has multiple subparts, hence only first three parts will be solved. Let x≤40 people…

Q: Which of the following is true about the quadratic fit to the three points: (1,0), (3,2) and (5,3).…

A: There are given three points (1, 0), (3, 2), and (5, 3). our goal is to find the quadratic equation…

Q: Pls solve this question correctly in 5 min i will give u instant like Consider the graph . There is…

A: A connected simple graph is Eulerian if and only if all vertices are even degree. Also, if there is…

Q: A vector in the direction of vector i -23 + 2k that has magnitude 15 is î-2j + 2k 3 O 5 -10 + 10k O…

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Q: Determine whether the matrix is in echelon form, reduced echelon form, or neither. 16 5-7 0 1 -4 -1…

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Q: · Let S : RCUN) = < u² Losv, u²³-4, 4²-sinv), (u₁v) & [13] x [2₁4] Evamate : do (y+4)³2 SS S

A: Note: For r→(u,v)=&lt;x(u,v), y(u,v), z(u,v)&gt; , take dσ=||ru→×rv|→|dA

Q: Linear Algebra

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Q: Complete the following, using exact interest. (Use Days in a year table) Note: Do not round…

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Q: = 2f X Discuss the monotonicity of g(x), where g(x) 2 + f(6-x²) Vxe R. It is given that f"(x) > 0Vxe…

A: g(x) = 2f(x2/2) + f(6 - x2)  =&gt; g'(x) = 2xf'(x2/2) - 2xf'(6 - x2)                = 2x[f'(x2/2) -…

Q: Evaluate the surface integral. 11. ³² ds. y² dS, S is the part of the sphere x² + y² + z² = 1 that…

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Q: Make a change of variable, x = Py, that transforms the quadratic form 6x +18x1x2 + 6x2 into a…

A: Quadratic form and diagonal matrix

Q: 3. Let f: A→ B be an injection, and X, Y CA. Show that f(XnY) = f(X) nf(Y).

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Q: 2s + 3 S 2 s² + s + 1

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Q: Find formulas for the voltages x, and x2 (as functions of time t) for the following circuit…

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Q: r(t) = (2+31+3 23. Find the length of the curve r(t) = (rsint+cost)i + (sint-rcost) j+rk from 0..…

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Q: 4. Graph the following transformations of the parent function graphed in number 1. Identify the…

A: Since you have posted a question with multiple subparts, we will provide the solution only to the…

Q: Show that a group G is abelian if and only if the mapping f: G->G, given by f(x) = x2, is a…

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Q: +|m₁nEN ² mine 3. Let S = { (-1) ²² [ +1 +224131 Find all cluster points of S

A: S=-1m+n21m+2n+12n+3 m,n∈ℕ

Q: 1- How many roots does each of the following equations has? a- Cos x=e* b- e*= 1+ Sin x c- Inx=x² d-…

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