Find the length of the curve r(t) = (ln(t))i + (2 t)j + (t²) k from t = to t = e.

Q: Find B and for the space curve below. r(t) = (8 sin 3t)i + (8 cos 3t)j + 7tk 7 25 T = N = K = 24 cos…

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Q: Find the first order condition of In 1-3x + lng + 2 maxg In 1-gt 2 calcul こ g= J

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Q: 1 lim(1 + xe2x)x x-0

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Q: 4. If P1000 becomes P1126.49 after 4 years when invested at a certain nominal rate of interest…

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Q: A B Ⓒ Which of the following functions is a solution of (x²+1)y' + y² + 1 = 0 ? 1+x y=1*** y=2+x² .y…

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Q: 11. Complete the following b) y_dB = 100 dBW + 10 dBm 15 dBm

A: We have to complete the given expression.

Q: C. Write the equation of a circle in general form. Determine the center & radius. Sketch the graph.…

A: Given the equation of circle in standard form as (x+5)2+(y-4)2=49 Since the equation of circle in…

Q: = 10 log x 10g 4 = (2)10 log x (2) log 4 (1 11 |1 10 1094 x - 12 log₂ x 11 = 2010gx log 8 1 8 log x…

A: To simplify the expression.

Q: For the function f(x) = 3ˣ find f(x+1)/f(x-2)

A: Topic = Function

Q: Can we use x = vy?

A: The Solution is given below

Q: (A B Which of the following functions satisfy x²dy + y(x + y)dx=0 with y(1) = 1 ? 3x²y = 2x + y x²y…

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Q: (D²4)y=8e²x - 12.

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Q: Given f(x) 2x + 5 x + 8 > verify f'(x) = a) State the domain of f(x): b) State the domain of f'(x):…

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Q: 17)  Perform the following arithmetic operation: 62C16 / 12E16 = ____________

A: We have to calculate base 16 multiplication i.e. 62C16/12E16

Q: Find the length of side x in simplest radical form with a rational denominator. X 30° 4 60⁰

A: Solve for x

Q: Find an integrating factor for each of the following equations and solve these equations. 1) (x² +…

A: Solution

Q: Find the exact value of tan(sin¯¹()).

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Q: Use a tangent plane at (-6,-4) to approximate the value of the following function at the point (-…

A: Given function :  −2x2−4y2+7z=−101 Now, −2x2−4y2+7z=−101z=2x2+4y2−1017f(x,y)=2x2+4y2−1017

Q: 2. Use any method to evaluate the following integrals. T₂ b. Ja a. 2* 22x+2=-2 dx sin 0 de cos²0+…

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Q: 15. Find f(x) using the limit definition of the derivative. f(x)=√2-x In the answer box, enter the…

A: We have to find derivative

Q: Question 8 of 9 Find the radius of convergence and the interval convergence. Radius of convergence:…

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Q: iven the function f(x) = (x²-1)/(x-1), determine if the function is continuous or not for all the…

A: Given: f(x)=x2-1x-1

Q: Given the differential equation (4x2+y2)dx + x(x-2y)dy = 0  1. Verify that M(x,y) = (4x2 + y2) and…

A: Given the differential equation (4x2+y2)dx + x(x-2y)dy = 0  1. Verify that M(x,y) = (4x2 + y2) and…

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. 4sin…

A: The given series: ∑k=1∞4sinkπ2We need to check its convergence.

Q: 1-cos 4x lim x-0 1-cos 2x

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Q: Find f'(t) and simplify your answer. cost f(t) = 1 - 2 sint

A: Given function is a quotient function and we proceed with finding the derivative of f/g…

Q: A patient has an illness that typically lasts about 24 hours. The temperature, T, in degrees…

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Q: 11) ƒ(x)=x² + 4x² + 5x+2

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Q: The figure has a tangent line drawn at a labeled point. c(t) thousand chips (1.95.7.7) T7 6 4 2 t…

A: Concept: Rate of function =slope of the tangent at point (x2,y2) and (x1,y1)m=y2-y1x2-x1%rate of…

Q: Given the graph of f(x), find: lim f(x) A. B. 8. lim f(x) X->-2* c. f(6) -12-10-8-64-2-1

A: We have to find out limit from graph

Q: lim π 2 0 0→ cos 20 tan 0

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Q: Find all solutions to the equation cos(x) = √√3 2 in the interval [7, 2ë].

A: We can find the answer in the below steps.

Q: 1) Calculate the following integral on the plane domain D defined by (x 20,y20 y ²0, x² + y² ≤ R²³)…

A: See this solution in below.

Q: Use the Mean Value Theorem to supply a proof for Theorem6.3.2. To get started, observe that the…

A: Concept: Theorem 6.3.2. : Let (fn) be a sequence of differentiable functions defined on the closed…

Q: 1. Use the limit formula, and showing all work, find f'(x) for f(x) = -3x³ + 2x -1.

A: To find the differentiation of given function.

Q: 11. g(x) = X, x-1, x < 0 x ≥0

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Q: Use sigma notation function. Σ write the laylor series about 1 2+5 for the

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Q: The graphs of z = 8, y = g(z) (solid) and y=h(z) (dashed) are shown; the graph is not drawn to…

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Q: Rate of Change of Production Costs The daily total cost C(x) incurred by Trappee and Sons for…

A: The objective is to find the rate of change of total cost function.

Q: 7. y sin(y)dy + xycos(x) dx = 0

A: To find the solution of given differential equation.

Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

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Q: І 1 (3x - 2) √9x2 - dx 12x

A: To find out the integration.

Q: For a differential equation of the form: =f(x, y), the dependent variable is y and the independent…

A: We know that differentiable equation of the form dydx=f(x,y) , the dependent variable is y, and…

Q: (a) A spherical iron ball 6 cm in diameter is coated with a layer of ice with uniform thickness. If…

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: ye-cosx dx — 3 tan x dx +tan x (e-cosx) dy = 0

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Q: Each cement block weighs 2 1/5 pounds. How much do 5 cement blocks weigh in total.

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Q: 2. Evaluate the following limit. 4 ++ ४|४- lim x-4 4+x *

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Q: Set up and evaluate the integral that gives the volume of the solid formed by revolving the region…

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Q: Sin x/x

A: Let's solve.

Q: Suppose that the functions and g are defined for all real numbers as follows 16-3-1 g(x)-3x+1 Werte…

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