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Q: Two ships leave the same port at noon. Ship A sails north at 17 mph, and ship B sails east at 10 mph...

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Q: dx Evaluate: a) - x² +4x + 20

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Q: sketch a possible graph of a function f that satisfies the following conditions: i) f'(x) > 0 for x ...

A: topic - functions

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Q: The graph of y: f(I) (solid) and y = g(1) (dashed) is shown 6+ 4 - -6 -5 -4 -3 -2 -1 -2 -4- -5 t6 2)

A: Given graph:-     To find:- a.     limx→1-f(x)g(x) b.     limx→1+f(x)g(x) c.     limx→1f(x)g(x)

Q: Consider the graph of the function f(x) shown below. List any æ-values at which f is not continuous....

A: To answer the given questions using the given graph of the function f(x).

Q: Find f if f"(x) = 4 – 6x, f(0) = 3, and f(2) = -2. %3D Answer: f(x) =|

A: f"(x) = 4 - 6x , integrating the equation  Using the formula ∫ xn dx = xn+1 /(n+1) ∫ f''(x) dx = ∫ 4...

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Q: Evaluate f(x – 1)Vxª – 4x – 2dæ -

A: Given:      ∫x3-1x4-4x-23dx      =∫x3-1x4-4x-213dx   substitute u=x4-4x-2          dudx=4x3-4→dx=14x...

Q: Find the average value of the function over the given interval. (Round your answer to three decimal ...

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Q: 1 1 xa(1 - x)*dx = | x*(1 – x)ªdx Þ(1 – x)ªdx

A: Given: - The  equation is, ∫01xa(1-x)bdx=∫01xb(1-x)adx, That if a and b are positive numbers. To pro...

Q: Consider the graph of the function f(x) shown below. List any x-values at which f is not continuous....

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Q: 6. Roughly, speaking, we can use probability density functions to model the likelihood of an event o...

A: we have to just apply the conditions which is already provided in the question  Given function must ...

Q: Solve the following: dx 1. xV4x2 - 25

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Q: lim f(1) = 1, lim f(z) = – 00, I -2 f(- 2) = 1

A: Please see the below picture for detailed solution. 

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A: We have to find differential equation

Q: For the function 0 < x < 4 = 4 2x – 4, -2, f(x) = x2 – 8x + 20, 4< x use algebra to find each of the...

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Q: Find (without using a calculator) the absolute extreme values of the function on the given interval....

A: Absolute minimum = lowest value of the given function within the domain.   Absolute maximum = highes...

Q: sin -1

A: NOTE: Refresh your page if you can't see any equations. . use the formula 

Q: If f(x) = (a + 3r + 2)", then f'(x) - f'(1) =

A: To find out f'(x) and f'(1). 

Q: Some values for the function f(x, y) are given in the table below. x\y -3 -2 -1 1 3 7 6. 1 4 -4.1 2 ...

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Q: Solve the following initial value problem and present its particular solution: y" + y' + 0.25y = 0, ...

A: The given initial value problem is: y''+y'+0.25y=0 ;         y(0)=3,    y'(0)=-3.5

Q: If f(x) (2x+6) , find f'(x). Find f'(1).

A: Given query is to find indicated derivative of the  function.

Q: de +5x +6, dt / æ dt = 4t where: x(0) 2

A: It can be solved using laplace transform.

Q: 158% This parabola would have a general equation: g(x) = ax? + bx +c for some value a, b, c. Do hot ...

A: Apply integration rules

Q: Write the equation of the tangent line to the graph of y=x2  the point where x=2.5

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Q: (xール) 2. 16

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Q: tance between the camera and the shuttle (see figure). Write e as a function of s for the period of ...

A: Given query is to find the rate of change of angle.

Q: 5*+1.In5 +C e5 5 n + 1 A) True B False

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Q: 15) tan- -1 Vz 17) cos -1 19) tan 1

A: topic - Inverse trigonometric ratios

Q: 1. Consider the region bounded by y = x and y = vVa, shown below. Find the volume of the solid obtai...

A: Volume=13π15 cubic units

Q: Find the derivative f'(x) of the following function f(x). f(x) = sinh (x + 8x*)

A: I am going to solve the given problem by using some simple calculus to get the required result of th...

Q: Suppose we need to find an equation of the plane that passes through (1, 2, -2) that contains the li...

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Q: Find the optimal Solution by 2. Two-Phase method MAX Z = 5x1 + 9x2 - 18x3 subject to 5x1 + 16x2 + 5x...

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Q: Evaluate : 1) | cos x 3) [ cos x 2) [ ,cot ydy sin' x 1+ sin x 7/4

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Q: sin2t costdt (A sin2t cost C sin?t D sint E cos?t F None

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Q: SF S"(x² cos y – sin x) dxdy 2

A: Given that: ∫0π2∫0π(x2cosy-sinx)dxdy

Q: Show how to use the Intermediate Value Theorem to show that the equation z – V4z = 7 has a solution ...

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Q: Let f(x)= -6x^4+8x^3+72x^2 a) The values of x for which f has a horizontal tangent line are x=

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Q: Complete the expanded notation for 62,708,934

A: Follow the procedure given below.

Q: 4) Show that the circumference of the unit circle is equal to 1 dx (an improper integral) 2 1 – x² E...

A: We need to verify the circumference of circle.

Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = –...

A: The height of a ball launched in the air t second after it is launched is given by   f(t)=-16t2+203t...

Q: Find a vector equation and parametric equations for the line segment that joins P to Q. P(3.5, −3.2,...

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Q: 5. Some integrals might seem complicated. But they will simplify significantly if you look at them i...

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Q: 7. Consider the region above the r-axis and below y = e=² with x > 1, shown below. 1. Consider a wiz...

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Q: 2w +x + 2y +z = 6 -9x + 9z = 18 - 5z = -13 - 3y = 4

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Q: that f(r) >0 and (r) (a) Determine which of the following functions are probability density function...

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Q: If {xn} is a bounded sequence on R. Prove: lim n→+∞

A: Given  sequence xn is bounded  we want  to show that  limn→∞xnn=0

Q: For the following function, find the value of (a) f( – 3) and (b) f(4), if possible. x2 -1 if xs0 y ...

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Q: A company selling widgets has found that the number of items sold, x, depends upon the price, p at w...

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