A spring whose equilibrium length is 7 m is compressed to a length of m when a force of 14 N is applied. Find the work done by the spring force while it is compressed to a length of 6 m. (Give an exact answer. Use symbolic notation and fractions where needed.)

Q: Find the product. E 3 تن 3 m + 3 F 3 S + 3 C 3 3 m n 3 m² -n² m² +2mn +nº 2 m m²-n² 2 +2mn + n² 11…

A: The given product, m3+n3m3-n3.m2-n2m2+2mn+n2 use formulas,…

Q: Please, expert, Homework: Evaluate the following integrals 5.S√x+1d dx 4. nt to solve all these…

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Q: 1-A) Express the result of the following complex number expressions in both rectangular Re+j Im )…

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Q: Find an algebraic expression equivalent to the given expression. Hint: form a right triangle. cos (2…

A: Topic- inverse trigonometric functions

Q: 5. Evaluate a) -1 243 (27²) b) -243 c) 243 d) 243

A: 5. The given data is:  Evaluate (-127)53

Q: Q1: _lim, Q2: lim (x-1)(x-2) x+1 x+01+stnx Q8: lim h-o = (C)-8 x²-16 Q3: f(x)=x²-5x+4 is…

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Q: Estimate the instantaneous rate of change of f(x) = -3x + 2 at x = -2.

A: The instantaneous rate of change of a function f(x) is the first derivative of a given function and…

Q: Suppose an object is fired vertically upward from the ground with an initial velocity of 96ft/sec.…

A: Given: The height of the object above the ground after t second is given bys(t)=96t-6t2To Find:…

Q: An archeologist discovers a tool made of wood. The half- life of carbon-14 is approximately 5780…

A: Multiple sub-parts question-"As per our guidelines we are suppose to answer only first 3…

Q: Solve the equation or inequality. Write the solution set to each inequality in iinterval notation if…

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Q: Find the length of the vectors (a) i +3j+ k: length = (b) i — 2.6 j + 2.6 k. length = -

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Q: (b) / ₁ 1 -dx 1 + x³

A: ∫11+x13dx

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A: We need to find out h'(2).

Q: Explain how you would convert from a plane's scalar equation to a vecto

A: Lets understand the process of converting scalar equation of a plane to vector equation by an…

Q: L’Hopital’s Rule. Find the limit of (xl - 1)/l as l goes to 0 (not x, l). This is called the…

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Q: Find x<1/2, which is a solution to the equation, e^2x-3e^x+2=0.

A: Topic:- algebra

Q: Calculate the integral of f(x, y, z) = 3x² + 3y² + zª over the curve c(t) = (cos t, sin t, t) for 0…

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Q: 20) Differentiate f(x) = cos(e*)

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Q: The cross product is neither nor. The dot product is not 01. Commutative 2. Associative 3.…

A: We know that , 1) cross product of two vectors are not commutative , That is u×v≠v×u 2) cross…

Q: x³-7x-6 lim x→→3 2x³-11x²+12x+9

A: We need to find limit. NOTE - As per Bartleby's guidelines we can  solve one question from multiple…

Q: The table below shows the number of individuals infected with a disease t days after its first…

A: Given that, Days 1 2 3 4 5 6 7 8 Infected Individuals 1068 1723 2723 4393 7914 12408 19824…

Q: fferent rotations are called ard position by an integer multiple of resul an angle in standard…

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Q: 16) Differentiate y=-5x-√3

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Q: Find the line integral with respect to arc length (a) Find a vector parametric equation 7(t) for the…

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Q: 1.1 1.2 1.3 Identify 2 variable expenses from Anderson's family budget. Calculate A, if the average…

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Q: The included angle of the two sides of fixed equal length x in an isosceles triangle is u gGven that…

A: The included angle of the two sides of fixed equal length x in an isosceles triangle is u Given that…

Q: 6) Find the derivative f'(x) using the limit definition for f(x)=√x-3 lim Ax→0 f(x + Ax) = f(x) Ax

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Q: 2.3 2.3.1 2.3.2 Mr. Anderson wants to set up a vegetable garden on the leftover land in his yard. He…

A: Let's solve area for rectangle and circle.

Q: Given the points P=(1,0,1) and Q=(5,-4,3) find an equation for the sphere for which the segment PQ…

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Q: С 20 3x-1 хр. -X (3+3 (2) j² dx a Лх lo XS хр sự X Сў-12.d:

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Q: Determine the global extreme values of the f(x, y) = 8x - 2y if y ≥ x-5, y ≥ -x-5, y ≤ 3. (Use…

A: We will use graphical method yo solve this problem.

Q: Solve the system: 3x-4y+1z=-4 1x-2y-1z=-12 1x+1y+1z=6

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Q: 16. S sin 3x cos 3x(cos 3x+1)² dx

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Q: Which of the ff is a valid double integral? -2x [*f* xy dy dx b. f*f* xy dx dy a. C. -2x ** 1²* xy…

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Q: An arrow shot into the air is 50t-4t^2 feet above the ground t seconds after it was released. During…

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Q: S -6 √36-Lnx dx @ S₂ (6) x Secx dx Ln(secx+tanx

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Q: g(x) = 10) Find the extrema for in [-5,-0.5] x² + 4x+4 X

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Q: For the line 4x + 3y = 24, complete the following ordered pair so that it is a point on the line…

A: given line4x+3y=24

Q: Two unit vectors magnitude of 3 O√7 07 O√2 O√6 and , make an angle of 60 degrees with each other.…

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Q: Consider the parametric curve Determine which of the following graphs is the correct image of this…

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Q: Determine the amplitude, period, and phase shift of the function. Graph the function. y=sin(x-*)

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Q: 39. Use the following graph to evaluate a. f' (1) and b. ƒ' (6). -8-6-4-2 YA 8 6 4 2 O 2 -6 -8 2 6 8…

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Q: By choosing x, find a maximum of xre-x, if r>2, otherwise the function goes to infinity at x=0.

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Q: The normal vector of 2x + By - 16.7z = -8 is: ○ [2, 뮤, -16.7, 8) ① [호, 꽃, 16.7, -8] ① [올, 꽃, -16.7]…

A: We have given equation of a plane  92x+133y-16.7z=-8 Comparing this with the equation  lx+my+nz=d We…

Q: 0 y = 2 sin 3x + 1 (a) The graph above shows part of the curve y=2sin3x+1. Find the area of region…

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Q: Determine the interval in which the function is decreasing for y=2x^3-9x^2-24x-10 without graphin.…

A: You can  use the first derivative to find intervals of increase and decrease and accordingly write…

Q: A rectangular box has length 11 inches, width 20 inches, and a height of 7 inches. Find the angle…

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Q: 5) Evaluate x² +1 4x³ + 12x dx

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Q: cos (5x)cos (3x) dx cosh' (In x) sinh (In x) (A) (8) - (C) 0 (D) 2 1

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Q: Factor out the Greatest Common Factors of. 1. 18x2 + 27x 2. 45a2 + 27 (Hint: the answers are not

A: Topic:- algebra        Definition:- To factor  greatest common factor take common term outside and…