All edges of a cube are expanding at a rate of 6 centimeters per minute. Draw an accurate  picture that clearly models the cube. How fast is the surface area changing when each edge of  the cube is 10 centimeters?

Q: Shown above is a slope field for which of the following differential equations? A + y? (B = x – dr y...

A: Here, dydx=y2⇒dyy2=dx⇒∫y-2dy=∫dx+C⇒y-1-1=x+C⇒-1y=x+C⇒y=-1x+C The graph is as shown for c=0.  

Q: dy Q3. Solve the DE da +y - y? provided that y1 = - is one known solution of the equation.

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Q: David opens a bank account with an initial balance of 500 dollars. Let b(t) be the balance in the ac...

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Q: How large should n be to guarantee that the Trapezoidal Rule approximation to x - 2x + 36x – 3x + 4)...

A: We have to find the value of n. 

Q: The axis of symmetry of the graph of a quadratic function has equation x = 2° (a) Draw the axis of s...

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Q: Homogeneous Differential Equation: (x* +2.xy – 4y² kdx – (x² – 8xy – 4y² ldy = 0 y. x==; y = wx; d =...

A: This question is based on solution of Homogeneous differential equation.

Q: Solve the differential equation (x – 3y + 2) dx + (3x + 9y – 12) dy = 0

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Q: The equation of a family of parabolas with axis parallel to the y-axis is

A: We will find the equation of family of parabolas with axis parallel to the y-axis .Below find the ge...

Q: The given function s(t) = 5t³ – 3t2 + 10t – 25 - represent the position of a particle traveling alon...

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Q: Given that cot(0) = and 0 is in Quadrant I, what is sin(0)? Write your answer in exact form. Do not ...

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Q: p= 265 50 and C(x) = 84000 + 50x, where x is the number of microwaves that can be sold at a price of...

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Q: Elimination of Arbitrary Constant: y= Ax + Bx+C, A and B are constant, C is a parameter

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Q: Find the inverse of the given function. log, (æ) f '(x) =

A: Given query is to find indicated inverse function.

Q: Integrate both sides = S sec²y dy = S dx

A: ∫sec2y dy=∫dx

Q: Families of Curves: Parabolas with vertex ( h, -3) and it opens to the left

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Q: Eliminate the artitrany con tonts Y= Oix + be

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Q: Suppose the function g statisfies - 32x – 2x2 - 120 < g(x) < r² + 16x + 72. We want to use the Squee...

A: Let f(x)=-32x-2x2-120 h(x)=x2+16x+72 And f(x)≤g(x)≤h(x) We to evaluate g(x) using f(x) and h(x)

Q: Write the following function in terms of its cofunction. COS Write your angle in radians, and make s...

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Q: b 16 17 18

A: Graph the function :    

Q: Lqsudnhlao203=9m] -03P99E90RO[9U3RM7210 Ud8y(l,om8 301 29u 3 ***#!12r Families of Curves: Parabolas ...

A: Topic:-  geometry

Q: 3. lim 4" 4. lim 5 X +00 5. lim (0.2)* lim (0.2) 6.

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Q: ded. Give your answers as intervals in the form (*, *). Use symbol iate type of parenthesis " (", ")...

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Q: Find the general term of the sequence, starting with n = Determine whether the sequence converges, a...

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Q: PART A On a certain day last summer, the Snohomish river near Highway 522 was flowing roughly 1.6 m...

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Q: For what values of r does the function y = ex satisfy the differential equation y" – 4y' + 2y = 0? (...

A: We will differentiate y and put in the equation and then will find the value of r.

Q: 2 sin (x) dz 4 cos? (x) + 2 cos (x)

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Q: If log, (8) z 0.7 and log, (7) z 0.6, find the approximation of log,(448) =

A: Follow the procedure given below.

Q: 9. The differential equation (3y cosx+4xe" + 2x'e' dx + 3(sin x +1)dy=0 is exact because aN

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Q: Tori is draining her pool for winter. After the pool had started draining, Tori began to wonder how ...

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Q: 4. What is the equation of the tangent line to y = sin(sin(x)) at the point (T,0)

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Q: Elimination of Arbitrary Constant: y= Ax + Bx+C, A and B are constant, C is a parameter

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Q: Find for the following function. dx 3- cos X y = 4 + coS X

A: follow next styep

Q: to

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Q: Let g(x) = log,(x). Find g'(4). g-'(4)

A: g(x) =log5x g-1x=5x    

Q: Differentiate the following implicit equation for y(x) with respect to r: 3x – a°y+ 4y³ = 6

A: Finding dy/dx

Q: Find the x-value(s) where the graph does not have a derivative. The x-value(s) where the function do...

A: Given: There is a sharp point at x = 1. So, the function is not differentiable at x = 0.

Q: The length { of a rectangle is increasing at a rate of 9 cm/sec while the width w is decreasing at a...

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Q: 4t, 5 for –2 <t < 4. Find the length of the curve 7(t) =

A: We will use the following formula.

Q: 27. y y- 1. (2. 1) (hyperbola)

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Q: Elimination of Arbitrary Constant: y= Ax² + Bx+C, A and B are constant, C is a parameter

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Q: 5. What is the derivative of the function y = x+ Vx + Vx ? %3D

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Q: How large should n be to guarantee that the Trapezoidal Rule approximation to I (- x - 2x + 12x + 4x...

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Q: Which expression is equivalent to sin B cos B csc B for all values of B for which sin B cos ß csc B ...

A: Given,sinβ  cosβ  cscβ= y (let)we know ,cscβ =1sinβ

Q: TC nts) Find the equation of the tangent line to the curve y= sin (3x) at r=-. Show all steps clearl...

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Q: h(a) = 6.44a + 81.8. The same study found that their weight W (in g) as a function of their height i...

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

Q: Find the derivative of the function. F(e) = et sin(2t) F'(t) =

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Q: n=1 (ii) Give an example such that a, converges conditionally and diverges. IM:

A: Please see the below picture for detailed solution. 

Q: A material transmutes 50% of its mass to another element every 10 years due to radioactive decay. Le...

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Q: 6. Find the limit of lim -3r+2x-6 Xx-4+6x+9 using table

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: 6) Evaluate each integral. 5x-3 x²-7x+10 | u Sun 7x-x² +11x-3 (x² +1)(x² +3)

A: