A force of 6 pounds is required to hold a spring stretched 0.2 feet beyond its natural length. How much work (in foot-pounds) is done in stretching the spring from its natural length to 0.9 feet beyond its natural length?

Q: Show all the necessary figures and solutions to each of the following problems. 2. Find the area…

A: The given curves are: y=x3-6x2+8x and y=x2-4x. A rough sketch of the area of the region is:

Q: 17. Find the volume of the solid that results when the region enclosed by y = √x, y = 0, and 2 = 9…

A: According to our guidelines, we can answer only the first problem or first three subparts of a…

Q: (x - 2) is a factor for x2 - 5x + 6. صواب (خطأ

A: For   x-a to be a factor of a quadretic equation then x=a is a solution of the quadretic equation.

Q: 36 Where x <0, the point (-x,2) is located in Fourth quadrant A O Third quadrant .BO y-intercept .CO…

A: We will find the given point located in which quadrant in the following step.

Q: 2. Radioactive isotope Carbon-14 decays at a rate proportional to the amount present. If the decay…

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Q: Find the derivative of 10 5x - 4. 1 5 9 X (10) 5x-4 Click here to enter answer Back Delete Clear…

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Q: (y² + 7xy + 16x²) dx + x²dy = 0 choices: In x + ( ₂₁ ₁²₁ ₁x) = C с 4x 1 In x + (y₂ + 4x) = с In x (y…

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Q: 1. Newton's Law of Cooling: At 9:00PM., a thermometer reading 70°F is taken outdoors where the…

A: Note: Unit of temperature °FTs1=Outdoor temp or surorunding temp 1          = 15°FTo=Thermometer…

Q: 3. Using the Gauss-Seidel method make three iterations for the linear svstem x(0) = 0, 4x - y -z =…

A:

Q: So .x² dx (2x²+2x+1)²

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Q: y = f(x) denote the function defined as x²+x-2, if x < 1; f(x) = 1 X, if 1 ≤ x < 2; √x – 1, if x ≥…

A:

Q: Question 1 A body cools from 72°C to 60°C in 10 minutes. How much time (in minutes) will it take…

A: We will use Newton's law of cooling to solve this question.

Q: The graph of a rational function, f(x), has a point of discontinuity when x = 2 and an asymptote…

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Q: flog(x) dx

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Q: 12 Rewrite with out rational exponents, and simplify, if possible: (169) 2 4n4√√AO 4n 4.5 BO 8n4…

A:

Q: hello, could you sketch the graph in 3d please?

A: Let's draw the graph in 3D.

Q: Find the number k> 0 such that the region bounded by the curves y = x² and y = kx has area 9 square…

A:

Q: lim (√x² + x +1 − x) X-80

A:

Q: 3 Find the approximate value of fe-x² d x, by using the Simpson's rule with n = 8. Click here to…

A: As we know from the Simpson's rule: ∫abfxdx=∆x3fx0+4x1+2fx2+4fx3+2fx4+...+4fxn-3+2fxn-2+4fxn-1+fxn…

Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

A: Solid S is bounded by the surfaces z=x2+y2 and z=4-x2-y2

Q: The solution interval of 2y +1≥3 or 3y1 or y< -11 BO

A:

Q: 3) Let f(x) = 1 + 3x on [-8, 2]. Find the number c that satisfies the mean value theorem. a) O C= b)…

A:

Q: ƒ(z) = (z³ + z − 4); [−1,2] x h(x) ; [0,2] x-3'

A: Mean Value Theorem:  f'(c) = (f(b)-f(a))/(b-a)

Q: In(x+2) 1. S dx 2x+4 2 2. fx² ex dx 3. f tan³x dx 12

A:

Q: Find the derivative of f (x) = 5* In (x). Enclose arguments of functions, numerators, and…

A: Given; f(x)=5^x. ln(x)

Q: SHOW COMPLETE SOLUTION (NO SHORTCUTS PLEASE) !!! General solution of (x²y³. - 1+9x²) dx + x³y²dy = 0

A:

Q: ind the general solution of xdy + (3xy + y - e-³x) dx 0

A:

Q: S₁ dx J2x (J2x +9)

A: To solve the given integral.

Q: dy 9 Find the general solution of the differential equation: - dt t Use lower case c for constant in…

A: Here we have to find the general solution of the given differential equation,  dydt-9t·y=t5 Compare…

Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

A: Given problem:- Solid S is bounded by the given surfaces. (1) Sketch S and label it with its…

Q: Let L(z) be the linearization of f(x) = sin x + 1 at the point x = . Find L(1/2). O -1 pi/2-1…

A:

Q: A lumbering battle tank's treads applied wildly varying forces in order to propel it to move…

A: We know that,  Work = force * displacement    W = F * x  = 10x(1-e-0.03x2+0.2cosx)

Q: Consider the function f(x) = x^4 − 5x^3 + 9x^2 Find a)  The intervals on which f is increasing. b)…

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Q: 3√3 dx X²³√x² +9

A:

Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

A: Application of integration

Q: e slope of the line parallel to 6y + 2x=8 is 0.3. صواب خطأ

A: Topic:- geometry

Q: A. Determine whether each integral is improper. If it is improper, give your justification. 1. ft x²…

A: The given integral is improper. An improper integral is a definite integral in which the integral is…

Q: g(x) = x²mx, -2, mx+b, if x 1.

A: We can solve this as follows:

Q: 4. Find the general solution to each of the following differential equations. (a) 2xy² - 1 +…

A:

Q: 3.A kite at an altitude of 200 ft. moves horizontally at the rate of 20 ft/sec. At what rate is the…

A: apply Pythagoras

Q: Applications

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Q: Lim √2+x² X

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Q: Vx(A x B)=(B-V)A-B(V-A)-(A-V)B+ A(V-B)

A: Solution

Q: 3. The Critical Point of y = xe-*

A: Answer :-  We have to find the critical point of y = xe-x

Q: Expand the quotient by partial fractions. x²+3 x² - 13x+42 ²+3 x²-13x+42 (Simplify your answer.)

A: Given :x2+3x2-13x+42

Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

A:

Q: Z ек у -4x Find any ду az ах

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Q: 1. Find the limit. lim x118 5x³ + 3x² X- 7x²

A:

Q: 5. The auxiliary equation of the differential equation (4D³ - 13D + 6)y = 0 falls under_ Prove your…

A:

Q: ƒ (x, y) = ln (√√x²y³) f

A: