A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 5 - x. What are the dimensions of such a rectangle with the greatest possible area? %3D Width = Height = %3D

Q: 7. Your friend, Jimbo, asks you for help with a homework question about derivatives, The following s...

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Q: Give an example of a vector-valued function 7 (t) such that its unit tangent vector T(t) is defined ...

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Q: 1. A movie theater seats 240 people. For any particular show, the amount of money the theater makes ...

A: According to question,Given,Number of people n= 240 - 12pwhere,p is the price of one tickets. 

Q: Find the real valued general solution of y" + 5y = 0. %3D

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Q: b) y = cos Vx

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Q: 1 dx -1 2x+3 a.

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Q: The surface z - - = 1 is a hyperboloid of one sheet. Select one: True False

A: The general form of the equation of hyperboloid of one sheet is: x2a2+y2b2-z2c2=1

Q: x +1 at (2,3) is x- 1 The equation of the tangent to the curve g(x) = 1) y = -2 2) y = 3x - 3 3) 2x ...

A: To find the tangent to the curve

Q: n/4_sec²x a. Jo dx 1-tanx

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Q: se separation of variables to find the general solution. (Use C for the constant of integration.)  ...

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Q: What is the slope of the line illustrated in the graph below? round to the nearest hundredth.)

A: NOTE: Refresh your page if you can't see any equations. . choose any two points from the given line

Q: Q.3\ The Maclaurin series for cos(2x) for every x is :

A: The Maclaurin series for cos(2x) for every x.

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If it d...

A: ∫210   6dx/(x-4)2 [-6(x-4)-1 ]102 [-6/(x-4)]102 -6/(10-4) +6/(2-4) -6/6 +6/(-2) -1-3 ∫210   6dx/(x-4...

Q: Use the difference an+1 – an to show that the given sequence {a,} is strictly increasing or strictly...

A: This question is related to infinite sequence, we solve it using given information.

Q: sin e cos e Choose the best answer: sin (0 - 1)

A: Trigonometry 

Q: Given the function y = x* e* , find dty dx for x = -1. %3D

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Q: expressed in cylindrical coordinates, is (v2, -7, 0). What are the Cartesian (rectangular) coor 1, 0...

A: We will express the cylindrical coordinates in Cartesian coordinates. 

Q: Find the solution to the initial-value problem. y' = −8x tan(y), y(0) =  ? 2 y =

A: Given query is to find the solution of differential equation.

Q: 31. /| z sin(z + y) dA, R= [0, #/6] × [0, 1/3] R

A: ∬ x sin(x+y) dA,R =[0, π6]×[0, π3]0≤x≤π6,  0≤y≤π3  

Q: х+ 3 f(x) %3D x2 - 9

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Q: evaluate the differential equation y- 2y +1 =0 if y(0)= 3

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Q: The slope of the secant of the graph of y=3x - 2x2 through the points at which x = -1 and x = 2 is 1...

A: Given : y = 3x - 2x² and points x = 1 and x = 2 The correct answer for this question is option (3).

Q: cot x+1 V tan x +1 2 COS X cot x sin x tan x

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Q: Use Stokes’ Theorem to evaluate the closed loop line integral F*dr where F(x,y,z) = xi + yj + 3(x^2+...

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Q: y' +y = -x®y5 will be transformed to the following 8.

A: Given: - The Bernoulli's equation is, y'+3xy=-x8y5 To transformed: - The given Bernoulli's equation ...

Q: b) y = sec x tan x

A: Given the functiony=secxtanx

Q: Write the equation for the linear function. A = {(x, y): (-4, 2)(-1. .) Oyr y= - 2 Oy= - + 1 y= 2 Oy...

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Q: Solve the following equation by factoring. -5x2 - x = -4

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Q: sin 20 arctan(sin 0) d0

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Q: Given the function f(x,y) cos 2xーx3eY +āyン COS find te second partial olerivative fxy.

A: Let f(x,y) is the given function.Then  fx is the derivative of f with respect to x taking y as a con...

Q: Given the function f (x,y) = cos2x - x2 e5y + 3y2, find the partial derivative fxy.

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Q: Q.4\ The Taylor series for cosh(x) is:

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Q: If the length of the hypotenuse of a right triangle is 10, find the length of the other sides when t...

A: The length of the hypotenuse of a right triangle is 10.

Q: 30 Choose the best answer: tan x + cot x =

A: Given

Q: a. 12.37 cm2/sec O b. 12.57 cm2/sec O c. 12.47 cm2/sec O d. 12.67 cm2/sec

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Q: b) y = -2x2

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Q: A Ferris wheel with a radius of 5 m is rotating at a rate of one revolution every two minutes. Exact...

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Q: The graph of the equation x = D where D is any real number is a Plane parallel to the xz plane Plane...

A: here x=D where D is real number is the constant line equation so this line is parallel to yz plane b...

Q: ACTIVITY 3: Estimating slope of a tangent line, limits of a function & One-sided limits Estimate the...

A: We are given the curve, fx=-2x2+3x+5 We need to make a tangent line at the point P1,f1. f1=-212+31+5...

Q: C -- -- 1. 7)=3tan(2x-45")-2 f(x) Реriod: Vertical Shift: Horizontal Shift Start: End.

A: Starting point and ending point is always infinity in tan function

Q: 21. sin x dA, Dis bounded by y = cos æ, 0 < æ < 7/2, y = 0, x = 0

A: Solution of the above question is given by

Q: Given the graph below, evaluate the following limits: y = b Retrieved from:basiccalc_initial_release...

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Q: Suppose the total cost C(x) (in dollars) to manufacture a quantity x of weed killer (in hundreds of ...

A: The given cost function is: C(x)=x3-4x2+8x+50, x&gt;0 where x is quantity.

Q: 8. The following graph represents the displacement of an object, s(t). i. Sketch the velocity v(t), ...

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Q: 6. Determine the x-value(s) of the point(s) on the graph of f (x) = 3x³ – 11x – 2 where the tangent ...

A:  The function f(x)=3x3-11x-2 where the tangent line is parallel to the line 10x-2y-18=0

Q: 9. A thermometer reading 34°F is brought into a room with a constant temperature of 80°F. If the the...

A: Given: Newton's Law of Cooling: u(t) = T+(u0-T)ekt Where u(t): Temperature after time t T: Temperatu...

Q: f(x) = and g(x) = 2x 1 and h(x) = 1 4x-1 %3D

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Q: Match each graph type with its corresponding function. 1. y= Exponential Function 2. y= log 4x Logar...

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Q: X+3 is x² -9 The y-intercept for the function f(x)= O (0, -3) 0, O (0, 3)

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Q: 240° = radians. 3 3 3 3

A: Given query is to find measure of the angle in radian.