Suppose that 4 J of work is needed to stretch a spring from its natural length of 32 cm to a length of 50 cm. (a) How much work (in J) is needed to stretch the spring from 34 cm to 42 cm? (Round your answer to two decimal places.)

Q: Find the area bounded by y=√x and y= 2 (A) 2/3 (B) None of these C) 4/3 (D) 10/3 E 5/3

A: topic- area bounded by curves

Q: What is the amount of work done on a spring when it is compressed from its natural length of 1 meter…

A: Compress from the natural length through 1-0.8= 0.2 meter spring constant 'k'=16 N/m

Q: Evaluate the integral (1 + 2y)ªdy.

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Q: Given f(x,y) = ex cos y, Evaluate fy(2,0) O e² cos 2

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Q: Find a + b + c. The Maclaurin Series for f(x) = ln |3 + 4x is: f(x) = lnb + 26 + Σ'()"

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Q: culate √2-4i. Give your answer in a + bi form. In polar form, use the angle 0 < 2TT.

A: Topic:- complex number algebra

Q: Problem 7 Ső S xvx² + 1 dx

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Q: Question 14 A 60-m climbing rope is hanging over the side of a tall cliff. How much work is…

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Q: Find the integrals of the given in the picture

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Q: Given the parametric equations below, eliminate the parameter t to obtain an equation for y as a…

A: We can solve the given question as below.

Q: In the expression n (7) x²3² +3 z" •n is a real number • x, y and z are real numbers greater than 0…

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Q: Evaluate the integral. (Use C for the constant of integration.) It t sin(t) cos(t) dt

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Q: Suppose that the bacteria in a colony can grow unchecked. If the colony bacteria starts with 2…

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Q: (D³ + 2D² - 5D - 6)y=0; y = 0, Dy=0, D²y = 1, when x = 0.

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Q: Find the volume of the solid obtained by rotating about the y-axis the region bounded by the curves…

A: Cylindrical shell Method : If th eregion between the two curves y=f(x) and y=g(x) and f(x)≥g(x) is…

Q: 8 Find the area bounded by y y = 2x, y=0 and x = 3. X Using vertical element, what is the integral…

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Q: (a) Find the parametric equations for the line segment that joins P(1, 0, 1) to Q(2, 3, 1).

A: Given, P(1,01), Q(2,3,1)

Q: What is the mass in both (a) slugs and (b) kilograms of a 4390-lb car? Answers: (a) m = slugs (b) m…

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Q: 1³(x³ + x) dx

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Q: M Gmail ▸ YouTube Maps Google Homework Help On... Ciudades inteligent... ¿Qué es Ingeniería I...…

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

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Q: Reverse the order of the integration ² dy dx + 2 dy dx equal:

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Q: Used Cramer's Rule to find the value of the variables (X,Y,Z) in the following equations x + 2y + 3z…

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Q: In the quadratic equation Ax² +BX+C =0, describe the roots when B²-4AC is zero. A The roots are…

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

A: To find out the volume of revolution.

Q: use the definition of Laplace transform, to calculate the transform of f(t) if it is known that: 2et…

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Q: Q14- If f(x, y) = 2xy - x² In y- 2y² + 3x + 4, then axy is : for the function

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Q: Given f(x,y) = ex cos y, Evaluate fy(0,2) A cos 2 B) e² CO (D) -sin 2

A: This question can be solved using the concept of partial derivatives.

Q: egion in the first quadrant is bounded by the curve y=1+ sin²x, the coordinate axes and the line x==…

A: Topic:- application of integration

Q: Solve the D.E XỲ+Y=- 1 y2

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Q: Identify the surface defined by the following equation. -2²-8²2 +²²2 + -x-y + 10x -6y = 43 Select…

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Q: solve the following problems. Draw the necessary figures for each. The area bounded by the parabola…

A: The area bounded by the parabola y2+x-2y=1, the x‐axis, and the line x=2, revolves about the x‐axis.…

Q: 4. 2x³y = y (g2 + 3z2)

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Q: A region is bounded by the y=x2 and y=6x-x², Which of the following integrals would approximate the…

A: Option (a)

Q: soon as posible

A: We will use substitution.

Q: a 0 1 2 3 لیا 4 5 6 b -10 -2 6 14

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Q: Using integrals, find the area bounded by the following:  f(x) = 4x2 + 20 g(x) = 8x + 32 x = - 4…

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Q: A. Determine if p=i-3k and q = 61-3j-4k are parallel, orthogonal or neither.

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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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Q: 3: Fill in the blanks in the following: 1 3. 4. If = (-12, 4, 8) the position vector of u…

A: Topic:-  vector algebra

Q: What integration technique can be used to integrate: 5√3+x² dx X

A: Follow the procedure given below.

Q: y = x², y = 0, x = 1, and x = √5

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Q: Determine the values of m and b such that function g is continuous at every real number: if r 1.

A: Since the function g is continuous.So, limx→1-g(x)=g(1)limx→1-x2-mx=-212-m(1)=-2m=1+2m=3

Q: Consider the equation y' - 2y = te State the integrating factor u(t) and find the general solution…

A: This question can be solved using the concept of linear differential equation.

Q: how would I find the domain of the vector function r(t)=cos(t)i+ln(t)j+1/(t-4)k?

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Q: Find the slope of the line satisfying the conditions. parallel to 7x + 5y = 57 Select one: O A. m m=…

A: We know  slope of two parallel lines are same. Now,  the given equation of line is 7x+5y =57. We…

Q: lim x-0 x - tan x3 X

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Q: Let (1) u(x, y) = xx vx, (2) u(x, y) = In(ex + ey). (3)

A: u(x,y)=xyyx u(x,y)=ln(ex+ey) Repost the next parts.

Q: The region in the first quadrant bounded by the graph of y=8-x32, the x-axis, and the y-axis is…

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Q: A bacteria culture starts with 500 bacteria and doubles in size every half hour. (c) How many…

A: Topic:- exponential growth function