What is the exact value of cos (tan¬'m) where m = :? 12 Provide your answer below:

Q: eliminate the arbitrary constants y^3(x+2y)=c^2y

A: To eliminate the arbitrary constant we have to differentiate the function wrt x.

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Q: 3x Find dx -if y 2х-1 3 1 1 а. (2х-1)2 b. (2х-1)2 (2х-1)2 d. (2х-1)2

A: Given that: y=3x2x-1

Q: Points] DETAILS ate the integral. (If the quai 0. хр +1

A: Evaluate the integral .

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A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for you...

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Q: Find the dimensions of a rectangle with area 1,331 m2 whose perimeter is as small as possible. (If b...

A: Area of a rectangle is 1331 m2, whose perimeter is small as possible.

Q: Find the derivative of the function. HINT [See Examples 1 and 2.] g(x) = x-2 - 7x-1 – 6 g'(x) =

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Q: Which of the following is/are exact differential equations? d) (e2y-ycosxy)dx + (2xe2y-xcosxy+2y)dy...

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Q: Evaluate the limits algebraically (using limit laws): Vt2 + 9 – 3 lim- t-0 х2 — 1 lim(2x² – 3x + 4),...

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Q: 3 4. lim = 1 1 х-3 ух — 2 — V4 — х 12. х2 — 1, 2 1 5. lim х-з \x — 1

A: Given that: 4. limx→3x-3x-2-4-x=15. limx→31x-1-2x2-1=12

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A: Given u=f(x,y) where x=x(r,s,t) and y=y(r,s,t) 

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Q: Solve the following differential equations. Indicate the (Differential Equations) method/s used at t...

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Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consi...

A: To evaluate the given limit.limx→0+ ln xx    

Q: TLER stic Find the equation of the plane through the origin and the points (3,–2,1) and 1,1,1).

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Q: 3. Using the steps in solving for homogeneous differential equations, evaluate: dy x² + 2y² dx ху

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Q: Calculate the average rate of change of the given function over the given interval. Where appropriat...

A: The Average Rate of Change function is defined as the average rate at which one quantity is changing...

Q: Evaluate sin 2x sin 4.xdx 2 b. sin 3 2x + C 3 1 a. sin ' 2x+C 3 c. cos' 2x+C 1 с. 3 d. -cos 2x +С 2

A: To evaluate the given integral: ∫sin 2x sin 4x dx  

Q: Given that a1= -15 and d=-4, find the first six terms

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Q: Evaluate the limit. Vx2 + 3 lim 3x2 + 1

A: Given that a limit problem and we solve this problem by using general property of limit.     Here i ...

Q: Find an equation for the paraboloid z = 2 – – (x² + y²) in cylindrical coordinates. (Type theta for ...

A: Given: - The equation is, z=2-(x2+y2) To find: -The equation for the paraboloid in the cylindrical c...

Q: dx Evaluate

A: ∫0919+x2dx

Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: (x2-3x)3 1. у 3 ; d'y/dx

A: Question 1,Given,            y=x2-3x3xTo find : d3ydx3

Q: Find the relative eror of the following cases. Also, detemine the number of significant digits in th...

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Q: Find the limit. Enter DNE if the limit does not exist. lim (z,y) → (0,0) z2 + 15y2 Question Help: Me...

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Q: An ice cream shop estimates that the revenue (in dollars) from the sale of x cones is given by R(x)=...

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Q: L 1.2.5 Quiz: The Converse of the Pythagorean Theorem Question 3 of 5 Select the procedure that can ...

A: Let's find. 

Q: Find the value of c when f' (c) = 0 for f(x) = 3x² – 12x + 9, where 0 < x < 4 а. 2 b.3 с. 0 d. 1

A: Given that: f(x)=3x2-12x+9

Q: The table below shows some ordered pairs for an exponential function f. x 0 1 2 3 f(x) 51.2 ...

A: Growth factor is the ratio of any two successive measurements.

Q: (3x*y + 4.xy' + 6)dx + (r* +6r°y -1}ty = 0 1.

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Q: Evaluate the integral. (If the quantity diverges, enter DIVERGES.) ∞   0xe−x dx

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Q: 1. y= (1/3)x-(1/2)x² - 2x 2. y (x2 + 2)2

A: SEE THE GRAPH GIVEN BELOW.

Q: dy sin x Find in y = dx 1+ cos x 2 2 2 cosʻ x+ sin´ x+cos x cosʻ x+ sin´x а. b. (1+ cos x) (1+ cos x...

A: Topic :- derivatives 

Q: y = C1e¬ª + C2e¯2# + x y" + 3y – 2x + 2y – 3 = 0 y" – 3y – 2x – 2y+ 3 = 0 - - Option 1 Option 3 y" –...

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Q: The differential equation (3x²e" – 2x}dx + (x*e' -sin y}dy = 0 is exact because ƏN ƏM Qu20[>_30imh 2...

A: Topic:- differential equations

Q: lim (x² + 1) = L x→2

A: Topic:- calculus

Q: Find the value of c when f' (c) = 0 for f(x) = 3x² – 12x + 9, where 0 < x <4 а. 2 b.3 c. 0 d. 1

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Q: dy - y – 5a* – 3x? + 2x = 0 dx - 2y = 5x + 6x2 – 4x ln a + cx 5y = 2x + 4x? – 6x ln a + cæ %3D Optio...

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Q: SOLVE the following DIFFERENTIAL EQUATIONS. 1. cos'x sin x dy + (y cos'x- 1) dx = 0

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Q: of (x) 3 at x=2. x+1 Find the slope of the tangent to %3D

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Q: If y = x' - 3x' + 1 +8x– 10, find y5) 13. x2 -5 a. - 24x5 b. 720x3 -7 120x d. - 720x-7 с.

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Q: The differential equation x(3xy-4y +6kdx+(r' – 6x²y² -1dy= 0 is exact because ÔM ON

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Q: Find the derivative of y = arccos 4x with respect to x.

A: Given that: y=arccos4x

Q: ind the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider ...

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