Find T, N and B for the curve F(t) = (2 cos(5t), 2 sin(5t), 3t) at the point t -0 Give your answers to two decimal places T (0) - N (0) - B(0) -

Q: Find the arc length L of the graph of r(t). r(t) = 1³ i + 1 j + = √61² k, 3≤1≤7

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Q: Determine whether the series converges absolutely, converges conditionally, ges. 4n Σ(-1)", n³+1 n=2

A: Use alternating series test for checking the convergence .

Q: Find the volume of the solid that results when the region bounded by y = x and y = x², from x = 0 to…

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Q: . Write both an absolute-value and a piecewise function to represent the graph.

A: 5. Absolute function  take graph of f(x)=|x|shift graph 3 units to right and 2 units…

Q: Use an appropriate linear approximation to estimate cos(60.5" (Round your answer to three decimal…

A: To use the linear approximation to estimate cos(60.5°)

Q: the curve x=l-5¢, y=4€²-1 (0=ts) lengin find the arcC kngth of the curve x=1-. (ux calculator to…

A: This question is based on length of a parametric curve calculated using definite integral.

Q: Solve [2*+2³ = 10 4* +4 = 68

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Q: 1. JC y = f(x) is transformed to g(x) = 3 f (2x – 6) + 9. The domain and the range of each function…

A: Solving

Q: Use power series operations to find the Taylor series at x = 0 for the given function. f(x) = x = x…

A: Use power series of exponential function to find the right answer.

Q: X-Z The iterated integral J = g(x, y, z) dy dx dz is equivalent SS 0z0 to which of the following…

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Q: Evaluate the integral by interpreting it in terms of areas. *18 |x - 9| dx

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Q: Is the function a power function. If it is, write it in the form f(x) = kx, and state the values of…

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Q: Use the table to evaluate the expression. 1 2 3 4 f(x) g(x) 3 1 6 3 4. (g o f)(2)

A: Here (g∘f)(2)=g(f(2))But f(2)=3(g∘f)(2)=g(3)and g(3)=6Therefore(g∘f)(2)=6

Q: Use the formula к(t): k(t) ||r' (t) x r"(t)|| 3 ||r' (t)||³ r(t) = esti + e¯tj = to find (t). #1

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Q: =H.w.2 Evaluate the following cartesian integrals by - changing them into equivalent Polar integrals…

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Q: Do not use a calculator for this problem. Find the x-value where the relative maximum of y closest…

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Q: Find the eccentricity of 8x 2 + 6y 2 - 32x + 24y + 8 = 0. 2 1/2 2√7

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Q: Set up the integral to find the area of the region bounded by y = r² − 1 and y = x + 5.

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Q: Evaluate (1 + i)(¹ - i). (1

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Q: Solve the given differential equation by separation of variables. csc(y) dx + sec2(x) dy = 0

A: Solve the differential equation by separable variable

Q: -(;) > Let 7 (t) = < - 5ť² + 3, t² – 3t, In| a. Determine the coordinates of the point on the curve…

A: given: r(t)=-5t2+3,t2-3t,ln15

Q: Consider the following. Let u = 4x³ - 1. Find du. du = dx Indicate how the limits of integration…

A: The given definite integral,          ∫01x24x3-14dx

Q: Use a computer algebra system to graph f and to find f' and f". Use graphs of these derivatives to…

A: A function is increasing on an interval if for every point on that interval the first derivative is…

Q: Find the area under the graph of the function y=2-x-x² over the interval [-2,1].

A: Given query is to find the area under the curve.

Q: Figure (a) shows a vacant lot with an 80 ft frontage in a development. To estimate its area, we…

A: It is midpoint Riemann sum      here length of interval  △x=20

Q: Find T(t) and N(t) at the given point. r(t) = 8 cos(t)i + 8 sin(t)j; t = 1|3

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Q: 95 Μ: Μα (2) Σ k = (0) Σ 23 . = k=1 115 « Σ 6k +4 = k=1 k=1 95

A: Given problem:-

Q: The temperature T at a point (x,y,z) of a solid is given by the function T(x,y,z) = 2x² - y² + 2z +…

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Q: e. x3 √1+x4 f. fx sin x² dx S dx

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Q: 2) Sketch the curve with the vector equation r(t) = costi- costj+ sin tk. Show the direction of…

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Q: 3. Write equation of the tangent line to the graph of the function f(x) = ecosx at one of the values…

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Q: 8) Find the unit tangent and unit normal vectors T(t) and N(t) for r(t) = (t, t², t²).

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Q: Find the area of the shaded region. 2 -1 square units y=x+ - 2x³ y=0

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Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

A: As per our guideline we are allowed to answer only one question. Kindly repost the other question as…

Q: Is the function a power function. If it is, write it in the form f(x) = kxP, and state the values of…

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Q: 7. f(x) = x* - 4x³ +3x? +4x – 5 Domain: y Range: Rel. Maximum(s):. Rel. Minimum(s): End Behavior: As…

A: We have to find the graph, Domain, Range, relative maximum, relative minimum, End behaviour,…

Q: Consider the following revenue function, where ? is measured in dollars. R(x)=110x-0.1x^2 a. Use…

A: Consider the following revenue function, where R(x) is measured in dollars. R(x)=110x-0.1x^2 a. Use…

Q: ^ du 1 1+2 Sinn

A: Solving the given integral using the substitution method Also using the formula for the integration…

Q: Solve the following: 1. Create a table, a verbal description, and a piecewise function to represent…

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Q: Find fogo h. f(x) = x – 5, g(x) = Vx, h(x) = x – 5 %3D

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Q: Weather condition Sunny Cloudy Rainy Snowy Percentage of days 42% 31% 18% 9% A) 1240 B) 3300 C) 2100…

A: Number of days in 2008 = 366 ( leap year ) Number of sunny days  =42%*366=0.42*366 Number of people…

Q: Of all rectangles with a perimeter of 10, which one has the maximum area? (Give the dimensions.)

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Q: Calculate the work expended when a particle is moved from 0 = (0,0) to Q = (4,4) along the segments…

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Q: Find the Taylor polynomial of order 3 generated by f at a. f(x) = 1 X+8,a=1 OA. P3(x) = -1/- x-1…

A: Use derivative for finding the taylor polynomial.

Q: Find the general solution of the given differential equation. x + 2y = x³ -x dx y(x) = Give the…

A: Here, the given DE is: xdydx+2y=x3-x⇒dydx+2yx=x2-1 Comparing it to dydx+yP(x)=Q(x). We have P(x)=2x…

Q: Find the area of the region under the graph of the function f on the interval [1, 5]. f(x) = 3x³…

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Q: Refer to the graphics addendum (A). The impedance shown is connected in a O Red leg Delta…

A: The given diagram is a wye or star configuration. Impedance of a given configuration is calculated…

Q: Find the line integral of f(x,y) = y ex² along the curve r(t) = 4t i + 3t j, −1≤t≤2. The integral of…

A: Use derivative for finding the line integral.

Q: Numerical solution of Ordinary differential equations Consider the following initial value problem…

A: This is a problem of numerical method . Based on modified Euler method we will answer the question.

Q: a) Find the Q-conjugates of 5. b) Find the Q-conjugates of √2+√5. c) Find the Q-conjugates of…

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