How fast is the surface area of a cube increasing when the length of the edge is 3 in and its rate of increase is 1in/min?

Q: ý dy マ/2 y+16

A: Given that: ∫y2dy(y2+16)3/2

Q: Suppose you solved a second-order equation by rewriting it as a system and found two scalar solution...

A: Given:     y = e4x      z = e5x   

Q: Consider the following indefinite integral. 7x3 + 9x2 + 5х +6 dx x4 + 1x2 The integrand has partial ...

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Q: Let h(x) = sec(x). Find h'(0).

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Q: Let f(x)= -6x^4+8x^3+72x^2 a) f has a relative minimum at x= b) f has an inflection point at x= c...

A: Given; Let f(x)= -6x4 +8x4 +72x2   a) f has a relative minimum at x=  

Q: If f(x) = x2 – 6x and g(x) = 6 – x³, evaluate the following. %3D a. (f+ g)(- 2) b. (g - )(- 4) c. (f...

A: The given functions are f(x)=x2-6x  &  g(x)=6-x3

Q: -2 -1 1 2 f(x) 1.5 3 6 12 24 g(x) 1 9 f(x) = g(x) =

A: Given query is to find the the exponential function from the table.

Q: 2) sin- 0 4) cos 6) cos-1 | V3 8) tan 3 -1 -1 10) cos

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Q: Evaluate the following indefinite integral. dt = +C

A: topic - indefinite integral

Q: t y = t dy Find dx 1 8t dy dx t dy Find dt dy dt + II II

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Q: Find the value of Q – 7.65 = (0.002083)(10) (00,1.85(0* 4.6 14.8665

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Q: 40.117 8.

A: Given number in base 8 is     40,1178

Q: (- 5x +7 if a 3 Let f(x) = Find lim f(x) , if it exists. O-8 O DNE О- 25 09

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Q: Used Set up, but do not evaluate, an integral for the length of the curve. y = 8 cos(x), Os xs 2x dx

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Q: Calculate the limit algebraically. (If an answer does not exist, enter DNE.) 9. lim x→o+ x² X

A: Follow the procedure given below

Q: Given g(x) - √3-2x, find g(1/2+Δx) - g(1/2) / Δx

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Q: Let F(x) = f(a") and G(2) = (f(x))". 3, f(a) = 3, f'(a) 15 You also know that a 10, f'(a") Then F'(a...

A: F(x)=fx6 and G(x)=fx6

Q: Solve the following equation. x-4 =7 Select the correct choice below and fill in any answer boxes in...

A: Given query is to find the solution of the expression.

Q: Differentiate the function after first rewriting the function Tn a different form. (Do not use the p...

A:

Q: 1. ABC company charges its customers according to their usage of electricity. One rate it charges co...

A: Given that:Fixed charge = $6.00Energy charge per kwh for first 1000 kwh=$0.04Energy charge per kwh a...

Q: s³(Ø) + sin(20) – 3 cos(0) cos F(8) de = J sin (ø) + 3 cos²(0) + 2 sin(8) – 3 Hint: Try substituting...

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Q: Find: Ex, fxx, fy, fyy, fxy, fyx F(X,9) = 2×-3yー4 %3D

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Q: Find the derivative of the function using the definition of derivative. V F(v) = v + 9 F'(V) =

A: NOTE: Refresh your page if you can't see any equations. . substitute v+h for v

Q: Find the limit of the rational function (a) as x→∞ and (b) as x→ - oo. Write o or - ∞ where appropri...

A: We need to find limit of given function.

Q: dx Jx +

A: Given that: ∫dxx+x3

Q: lim (x,y)→(0,0) f(x, y) to be along the path Y = x. Based on the table of values, enter what you bel...

A: Based on the table values we have to find the limit value.

Q: (2) A buko pie store can produce buko pie at Php95.00. It is estimated that if the selling price of ...

A: Solution: Given that  x: selling price of the buko

Q: d. e. lim f(x) X→→2+ y = f (x) f. lim f(x) g. lim f(x) x→-2 X→-0 h. lim f(x) i. f(-2) X→+∞ 2.

A: limx→a f(x) = L if and only if limx→a+ f(x) = L = limx→a-f(x).

Q: Math 150 PO1 Homework: HW 2.6 Part 1 Applications of Derivatives Question 8, Instructor-created ques...

A: height of ball is given by f(t)=-16t2+298t+22 we want to find velocity of ball at height 120 feet

Q: e graph of y = Vx is given below: 5 4- 3 2 -4 -3 -2 -1 2 3 4 -2 -3 -4 -5 nd a formula for each of th...

A: Given query is to find the formula for the transformed graph.

Q: 12) sin-1 -1 14) tan 0 V3 16) sin-! |

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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. 

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...

Q: Which among the following illustrates the limit of an identity function? O lim z = 2 I+2 O lim z = 2...

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Q: Evaluate the integral. (Use C for the constant of integration.)   21z3ez dz

A: As we know from the integration by parts; ∫udv=u·v-∫v·du Given: I=∫21z3ezdz   ....1

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

A:

Q: Using the following graph of the function f, evaluate the limits (a) through (i). Write 0o or - 00 w...

A: topic - limits note: As per bartleby guidelines we are supposed to answer only first three subparts ...

Q: 1 3t(2 – t)²dt -1

A:

Q: Given the following table, give the best estimate for f'(3) 6. 12 15 f(x) 30 41 51 60 28 The estimat...

A: Function values are given in the table, we have to find the estimate for f'(3)

Q: a. lim f(x) b. lim f(x) x→4+ c. lim f (x) 1. x-4 X→4-

A: Given query is to find indicated limits.

Q: The number of females in law continues to show steady increases. The number of female lawyers in a c...

A: a. It is exponential function. b. F(30) =>F(30)= .834* x^1.297               =.834*30^1.297      ...

Q: e height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = - 1...

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Q: 15

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Q: 1. Find the integral

A: Topic:-  calculus

Q: The equation of the plane through the point (2, 5, 7) that is parallel to the line 7(t) = 3î + 2 – 2...

A: Explained below 

Q: (b) Use the following formulas to set up two integrals for the arc length from (0, 0) to (1, 1). Obs...

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Q: dw V4-9w2 2

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Q: Evaluate the following definite integral. sec2 dt /14

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Q: Find the point on the graph of the given function at which the slope of the tangent line is the give...

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Q: Divide the numerator and thế denomih by lim 9. + 2

A: