Expand the logarithm as much as possible. Rewrite the expression as a sum, difference, or product of logs. ¹(k) 9k In

Q: The equation N (t) 500 models the number of people in a town who have heard a rumor 1-49e 0.7t after…

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Q: C. Graf the function of y-5x" if n=3 1. O 1 O 2 2. yax' LEVIC

A: Given data Graph the function y=5xn Where , n=3

Q: Which of the following is equal to e² +c + c +c In(x) + c e dx? da

A: evaluate the following integral... ∫ex dx

Q: 1. Given the graph of f(x) at the left, determine the following: a. ƒ(2) b. lim f(x) x-2 C. lim f(x)…

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Q: Find dy of the function y = cos2 3X + √√Sin x dx

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Q: se exponential notation to express each of the following numbers to three significant figures. a.…

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

Q: 3) [ = + r³ + 2x² − 8x 2 dr

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Q: x² +1 11. Find +3x+1 -dx

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Q: 1) 3) (x-3)² (v-4)² + 16 196 (x + 1)² (y-8)² + 9 81 = 1 = 1

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Q: 1 +x² √x (+/- + x² Given f(x)=x√x + x and g(x) - = f(x) (exe-1-x-3/4+) (² + x² g(x) √x)² 1 ° = [e…

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Q: cos²x sinx dy + (y cos³x − 2)dx = 0

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Q: Əz Assuming that is a differentiable function of and y, use implicit differentiation to find from t…

A: Implicit differentiation

Q: if xy=yx

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

Q: IF y = u+ + 3u2 & u = 3x Find dy dX

A: If y=f(u) and u=g(x),thendydx=dydu.dudx dundu=n.un-1

Q: The marginal revenue (in thousands of dollars) from the sale of x handheld gaming devices is given…

A: answer is in next step

Q: In 2012, 34.1% of all glass containers were recycled. A beverage company used 350,000 lb of glass…

A: We need to fill in correct answer.

Q: Compute the divergence and curl of F= -(z³-3x)j+4y²k+x²yi

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Q: Find the solution of the equation, using homogeneous equations. dy/dx = 2y-x+5/2x-y-4   NOTE: To…

A: To solve the DE.

Q: Which of the following statements is/are ALWAYS true for a function f and a real number c? A: If lim…

A: We can answer the question as below.

Q: ODE  Solve the homogeneous equation  dy/dx = x+3y/x-y

A: Use the homogeneous differential equation and simplify it

Q: Find the length of the curves in Exercises 1-4. x = (y³/2/3) - y¹/2 from y = 1 to y = 9

A: Solution of given question is written in below steps.

Q: dx sinh3x tanh3x S

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Q: 1 sinx # 1-cos2x ẩu! (6 2

A: Given query is to find the value of the limit.

Q: 7x Use substitution to find the Taylor series at x = 0 of the function e What is the general…

A: Taylor series expression for function e-7x

Q: A function is given. f(t) = 5t²; t = 4, t = 4 + h (a) Determine the net change between the given…

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Q: Q3/Evaluate four of the following integrais dx dx c. fd. sex C. sec²x e. f(3x + 2)5 dx

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Q: Consider a right triangle with a side of length x opposite angle A, a side of length y opposite…

A: Consider a right triangle with a side of length x opposite angle A, a side of length y opposite…

Q: 1. The value of (1.000) 27 is O 327 O 0.327 O 1.000 O Non of them

A: Any finite power of 1 gives you 1.

Q: (242²-121²) 242*121 O 1 O 2/3 O 11/3 O 3/2 ||

A: This question is based on formula  a2 - b2 = (a-b)*(a+b)

Q: Consider the differential equation 2xy" - 3y + 3y +³/4 = 0 (1) It turns out that y₁ = r is a…

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Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

A: Given:-f(x)=3+3x-3x2 ; 0, 3f'(x)=3-6xfor critical pointsf'(x)=03-6x=06x=3x=36=12second derivative…

Q: Suppose x² y² = x + 17y x = y Find 17 x + y x² + y² + 1

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Q: 8- The simple expression of the 21 a b c 3a³b²c² is

A: Given,  21a-3b5c83a5b-2c7

Q: 1. 3) Suppose A = 4i-6j, B = i + 7j and C = 9i - 5j. Find (a) ||5B-3C|| (b) unit vector having the…

A: Given: A=4i−6j, B=i+7j and C=9i−5j Since you have posted a question with multiple sub-parts, as per…

Q: Find a) any critical values and b) any relative extrema. 3 t(x)=x + 15x-1 a) Select the correct…

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Q: 6x-1 b) f(x) = (3x+5)*

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Q: dw H.W: Use the chain rule to find the derivative dt with x = cos x = cos² t, y = sin² == and…

A: Given :w=xz+yzx=cos2t    and y=sin2t   z=1t

Q: 6. dy dx 4x + 3y 2x+y

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Q: Suppose x = ₁et + c₂e³t. a. Verify that x = =c₁e¯t + c₂e³t is a solution to x" — 4x' - 5x = 0 by…

A: Topic = Differential equation

Q: C. Graf the function of y-5x" if n=3 1. O 1 2 2. y = ax",

A: let see how the graph of y =5x3 looks like

Q: 3 For y = f(x) = 6x³, x=4, and Ax=0.05 find a) Ay for the given x and Ax values, b) dy = f'(x)dx, c)…

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Q: Apply the second derivative test to find all relative extrema. - 5)² (a) f(x)=(x

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Q: , хуян ху exy ху en y e xy enx = x=c e x = C/ - -

A: Yes, its correct.

Q: Differentiate the function. y = (2x-5)³ (5-x4) 4 dy dx

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Q: Solve for the equations and find the angles. A. 3cosx + 1 = 0 2 2cos B. 2cosx + 1 = 0 C. 2 sin² (x)…

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Q: Suppose the semicircle shown to the right is revolved about the x-axis to generate a sphere. Let AB…

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Q: 9. Find the area between (bounded) by the Curves y=x² +10x and y= 2x + 9°

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Q: 1. 2ydx + x (²+x²y) dy = 0

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Q: 5. How is -28 can be express as rational number with numerated the number 4? 84

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Q: S x dx √16-9x4

A: Topic = Integration