r nosへSう'" ( メンン 2 COS(SIn (x))

Q: Consider the given system: 2⁢x + y ≤ 20 3⁢x + 2⁢y ≤ 30 x, y ≥ 0 Graph the inequalities on your g...

A: Given: - The given system, 2x+y≤203x+2y≤30x,y≥0 To graph: - The given inequalities by using the grap...

Q: 2x2 + 2x+1 dx. Evaluate: e х+1 x2 (A 2 *+ In/x+1| +C B x² + In|x + 1| + C (x²+x+1 x+1 n|x+1| + C e 1...

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Q: Solve the equation dy y° – y, - dx? dy giving that dx 0 when y = 1 and y = 2 when x = V2. %3D

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Q: 4. Suppose that f(2) = 16 and that f'(x) 2 – 3 for all x in the interval [2,7]. Determine the smalle...

A: 4.f(2)=16 and that f'(x)≥3 for all x in the interval 2,7

Q: If f(x) = 4+ - find f'(x). 3.

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Q: Given Cost and Revenue functions C(q)=q3−10q2+57q+5000 and R(q)=−3q2+2400q​, what is the marginal co...

A: We have to find marginal cost at a production level of 40 items

Q: Find the volume of the solid generated by revolving the region bounded by the given lines and curves...

A: To find the volume of region generated by revolving the region bounded by the curve y=2x2,y=0,x=0 &a...

Q: Express the quadratic function -4x^2-20x+1 in vertex form

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

Q: The average birth weight of elephants is 210 pounds. Assume that the distribution of birth weights i...

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Q: 5. Find the maximum area of an isOsceles triangle whose perimeter is 18 inches.

A: 5) To find out the maximum area of an isosceles  triangle whose perimeter is 18 inches. 

Q: Find the derivative of f(x) = -6x 10x10 f'(x) =

A: This question is related to derivatives.

Q: p(x) where p(x) is a quadratic polynomial and q(x) is a linear function. What are the possibilities ...

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Q: Use partial derivatives to find dy if y is defined implicitly as a function of x by the equation xy ...

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Q: The antiderivative of Cos(3x)

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Q: Find the area enclosed by y = In(x – 12) and y = (In(x – 12))². (Use symbolic notation and fractions...

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Q: (a) Eliminate the parameter to find a Cartesian equation of the curve. (b) Sketch the curve and ind...

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Q: _1. What is the slope of the tangent line to the curve y = 3x² – 5 at point (-1,-2)? a. -5 b. -6 С.-...

A: Using Derivatives & Application of derivatives

Q: The following chart shows "living wage" jobs in Rochester per 1000 working age adults over a 5 year ...

A: Given:    Data Table is given

Q: and xe"y %3D For ay

A: To find out partial derivatives.   

Q: (x+2)? dy 2y dx x -4 x² -4

A:    dydx+2yx2-4=x+22x2-4⇒dydx+2yx2-4=x+2x-2⇒y=∫x+2x-2dxx+2x-2x-2

Q: sin³ydy 1+cosy A 1+ cosy B 1- cosy c) siny D) sin³y E None

A: The objective is to evaluate the correct option.

Q: V9 +h – 3 21. lim h→0 h

A: Topic = Limits

Q: CSC 6 ? What is the exact value of

A: We can find the exact value as below.  

Q: x2-x+1 -dx. Evaluate: A 5 - 2x 3 3 B 2 2 2 2 2

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Q: Calculate the volume of a solid enclosed by the following equations z=x2 +1 , x=4, y=9 and the three...

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Q: Find the product of the given complex numbers in polar form. 3 (cos +i sin 푸).4 (cos (-표) + isin (-표...

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Q: The population of a city is 50,000. The city grows continuously by 2.1% per year. If this trend cont...

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Q: Which of the following integration expression can't be transformed into integral of power 2dx A 4+3x...

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Q: (1) Which is the correct formula for finding the derivative of the product of two functions? O (fg) ...

A: (1) We have to determine the correct formula for finding the derivative of the product of two functi...

Q: 39. Find lim f(x) if, for x > 0, 4x? – 5 4x6 + 3 - < f(x) < x6 x2

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Q: Find the volume of the solid generated by revolving the region bounded by the given lines and curves...

A: Given: y=5x2, y=0, x=0 &amp; x=1.8 From the given line and curves the bounded region is as shown bel...

Q: Given the function f(z) = 3z2 f(z +h)-f(z) Find the difference quotient h f(z + h)- f(x) Find f'(z) ...

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Q: The population of a country dropped from 52.3 million in 1995 to 44.1 million in 2009. Assume that P...

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Q: Q3

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Q: A function F (x) is called an antiderivative of a function f (x), if A F(x)=f (x) B F(x)=f'(x) F'(x)...

A: Topic = Integration Correct option = C

Q: A quadratic function f is given. f(x) = 1 - 10x - xr? (a) Express fin standard form. f(x) = (b) Sket...

A: The given function f(x)=1-10x-x2

Q: dy of y = (t + 6)(t +5)(t + 3) 1 Use logarithmic differentiation to find the derivative,

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Q: Question 13. What is the value of the limit ty2 lim along the path x = 0? (x.y)(0,0) x2 + y (а) —1 (...

A: Topic = Limits

Q: Find the derivative of y with respect to t. y = t(In 1t)2

A: The given function,  y=t ln 1t2

Q: (e*+ y)dx + ( 2+ x + ye )dy =0

A: Given, (ex+y)dx+(2+x+yey)dy=0 expand the terms to get the solution Note: xdy+ydx = d(xy)

Q: dy Solve: (e +e-²)- = y? (separation of variables) dx

A: We want to solve the given differential equation.

Q: e 3y sin (4x) Find lim - X (х,у)—(0,0) 3y sin (4x) e lim (х,у)- (0,0) - X (Type an integer or a simp...

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Q: Let z x = 2 cos u, and y 3 sin v. Find dz in terms of u and v. %3D Provide your answer below:

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Q: The population of a city is 145,000. It declines continuously by 3% per year. Assuming this trend co...

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Q: For the given parametric equations, find the points (x, y) corresponding to the parameter values t =...

A: Given: x = t2 + t       ,     y = 3t+1  values t = -2, -1, 0, 1, 2 

Q: Evaluate: [Vx+ sin/X d. A 2x+ cos/x + C 2 (B) x- 2cos/x + C 2х- cos/x + C 2 D x+2cos/x+C E None of t...

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Q: Find the area bounded by y = 0.5(x- 2)² – 1 and the X-axis from x-3 to x-5. Show the sketch with are...

A:   y= 0.5(x-2)2-10 =0.5(x-2)2-11 = 0.5 (x-2)22 = (x-2)2x - 2 = ± 2x =2+2    x~ 3.414orx =2-2x ~ 0.586

Q: Find the derivative. f(x)=tanh(2 + e^3x)

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Q: 8. Find the length of the given curve over the indicated interval. r(t)= (r', 3 cos(t), 3t) [] 0, 2

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Q: 10. Find the curvature K of the given curve. r(1) = ti +2sin(t)j+2cos (1)k

A: Curvature κ of the given curve r→(t) is T→'(t)r→'(t) where T→(t) = r→'(t)r→'(t).