What is the amount of work done on a spring when it is compressed from its natural length of 1 meter to a length of 0.8 meter if the spring constant k is 16 N/m? 0.5 N-m 4.5 N-m 0.32 N-m 5.12 N-m

Q: EX: Expand fit) = +² o<t<2π in a Fourier Series expansion : Sol: 2L = 2 T qu L = π -41 -2π 4T 27T 21…

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Q: II. Coefficients Linear in Two Variables 1. (6x-3y+2)dx-(2x-y-1)dy=0 2. (9x-4y+4)dx-(2x-y+1)dy=0

A: We can solve the given differential equation.

Q: 17 Simplify cot(arcsec 1) undefined 1 0 -

A: Given problem:- Simplify cot(arcsec(1))   undefined 1 0 -1

Q: Q2: The equation of the tangent line to the graph of y=t² and t = 4x² at t = 1 is (not that x is…

A: This question can be solved using the concept of equation of tangent to a curve at a given point.

Q: Find the trigonometric Faurier Series of the function defined by; flx) = x + # if = < X <... -T..

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Q: Points: A(2,1,-1), B(-3,0,1), and C(1,4,0) a.) find parametric equations of line that passes…

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A: We have to find the solution of the given differential equation

Q: For what values of p does the series p<3 n = 2 1 (n² In(n)) converge? (Enter your answer using…

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Q: 2) The expression 321 x 320 x 319 x 318 can be simplified as nPr. The value of n + r =

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Q: An investor has p1,000 income from bonds bearing 4% and 5% if the amount at 4% and 5% where…

A: Topic:- algebra

Q: Describe the x-values at which f is differentiable. (Enter your answer using interval not X ≤ 0…

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Q: One angle of a rhombus measures 104°, and the shorter diagonal is 8 inches long. How long is the…

A: Given problem:- One angle of a rhombus measures 104°, and the shorter diagonal is 8 inches long. How…

Q: 4. What is the area of the parallelogram with sides a = = [3,2,1], b = [4,5,6]

A: Topic = Area

Q: Let f(x, y) = x³ + y³ - 2x²y². Calculate fa, fy, fax, fyy and fry. Hence show that (3/4, 3/4) is a…

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Q: P1: Calculate the area bounded by the curves: C. y = e²x and x - 2y + 5 = 0..

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Q: If f(x) = lim (1+x)(1+x²) (1 + x² ) (1 + x² ).......((1+x) where [x] < 1, then - 618 1 (B) 3) (C)…

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Q: R is the region bounded by the functions f(x) = and g(x) = -4+. Find the area A of R. Enter an exact…

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Q: MATHS HOME A 41. If f (x) = f[ta (A) 3-e^/4 4 J'a (B). tan((nx) +- dx & f(1) = 0, then f (e/4) is -…

A: I am attaching image so that you understand each and every step.

Q: 3. Evaluate the following integrals. For each integral, briefly explain what method you are using…

A: Please see the answer below.

Q: arccot x arctan x arccos x arcsin x arccsc x arcsec x

A: Given that the inverse of trigonometry function  To find the domain

Q: Gas is $5 a gallon. The vehicle gets 20 mpg. Tech makes $30 an hour. He speeds 15 mph over the speed…

A: Gas costs $5/gal  Mileage = 15 miles/gal  Thus, for every 15 miles he will pay $5 if he is not…

Q: (a) IM8 k 서

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

Q: 2) Sketch the solid whose volume is given by the integral  and evaluate the integral. ∫0 to pi/2 ∫0…

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Q: Evaluate the integral. (Use C for the constant of integration.) 5 [ 8x 8x √√x + c dx

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Q: A: By using Linear equation solve the first order differential equation y' + sec(x)y = cos(x)

A: As we know the standard form of first order linear differential equation. dydx+Py=Q Where P and Q is…

Q: 31 In how many ways can 9 math students be seated at a round table? 81 40,320 80,640

A: In how many ways can 9 math students be seated at a round table?

Q: How. Solve the diff. e que (4y-cosy) dy/dx=3x² = 0, y(0) = 6

A: (4y -cosy)dy/dx -3x2 = 0 y(0) = 0 here we do this using sepration variable method

Q: 8 Find the general solution of the differential equation: xy' + y: X Use lower case c for constant…

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Q: Q4: Let y = √r and 1= x² then y) = Oifn= t= a) 2 b) 3 c) 4 d)5 e) others

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Q: Find the area bounded by the parabola x=8+2y-y², the y-axis, y=-1, and y=3 A) 92/3 s.u. B) 92/4 s.u.…

A: A detailed solution is given below.

Q: Find the vector equation of the line between the points (3, -1, 2) & (1, 4, -1), then graph the…

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Q: 2.5s (s 0.1) (s+ 0.4),

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Q: (b) The circle of radius 2 centered at (0, 0, 0) and lying in the i. xy-plane ii. yz-plane iii.…

A: According to our company's guidelines I can only answer first question (b), since (c) is not…

Q: Problem 2: Use the definition of the Laplace transform to find the transform of the piecewise…

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Q: Solve: y(x) dy dx = = (8x² - 7x + 6) (y-7), where y(0) = 11.

A: We will solve the given differetial equation by variable separation method.

Q: Problem 2: Use the definition of the Laplace transform to find the transform of the piecewise fu…

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Q: Find the convergence set for the power series, kak O a. (-7,7) O b. {0} O c. [-7,7) O d.\mathbb {R}

A: The given series is kxk/7k.

Q: 4) Consider the following logarithmic equation: What is the solution to the equation? log4(x + 2) +…

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Q: Evaluate So * sin ada

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Q: Determine the area of the shaded region. 14r y=7x-x² 12 10 8 6 2 y=x (6,6)

A: Solve by integration

Q: Q2: The equation of the tangent line to the graph of y=1² and t = 4x² at t =lis (not that x is…

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Q: Find the area of the region in the first quadrant bounded by the curve y = √√x² + 5, the x-axis and…

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Q: For the function f(x) = 2x², find the difference quotient 4a + 2h h 4 a² + h 4 a + 2 h f(a+h) h…

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Q: Find the tangential and normal components of the acceleration vector. r(t) = 4(3tt³)i + 12t²j aT an…

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Q: Question 15 The region in the first quadrant bounded by the graph of y=8-x3/2, the x-axis, and the…

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Q: Q1: If y=sint and t = sinx, then at x = a) 0 b) c) cosl d) - cosl e) others

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Q: 1. Find the area of the region bounded by y = x² - 3 and y = 5 - x².

A: This question can be solved using the concept of area bounded by two curves.

Q: 5. (a) Find the particular solution of the differential equation x³ = 1-e²t if x(0) = 2.

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Q: 12) Consider the following exponential function f, Given that f(x) = -616, what is the value of x?…

A: exponential function

Q: B. In the diagram below, not drawn to scale, A, B, C and D are points on the circumference of a…

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