For all positive x, (Hint: Think change of base!) A. log2x OB. 10842 = 1/ C. log24 = 2 10g4x 1og2x OD. O-1084x 10g4x-log2x

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Q: a. AOR: y = 0 b. AOR: x=0 c. AOR : x = 2

A: Since you posted multiple subparts, I need to solve only first three subparts.

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Q: When an initial amount of money, A, in dollars, is invested into an account that earns interest…

A: Ft=A·ert     Ft=19000·e0.094·t   A.  For t = 9 Ft=19000·e0.094·t=19000·  e0.094·  9=44275.83

Q: graphs are given below. a) V Y b) Y = 10

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Q: 4. Determine the 75th derivative of each of the following functions. f(x) = 3 cos 2x b)

A: given function is f(x)=3cos(2x) we know d dx(cos(ax))=-asin(ax)  and d dx(sin(ax))=acos(ax)

Q: PART III: Solve the following problems. 2. The sum of two positive numbers is 2. Find the smallest…

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Q: Consider the table below for lim (f (h)). Step 2 of 2: Find lim (f (h)). h-673" h 672.5 672.9 672.99…

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Q: Find the partial derivatives of the function fz(x, y) fy(x, y) f(x, y) 2x +9y 5x – 2y

A: given function is f(x,y)=2x+9y5x-2y

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A: To find the second derivative of the following function. fx=2xx

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Q: 2. Differentiate the following functions a. f(x) = 12²x - x² 2 b. f(x) = (e²x-3) + x c. f(x)=…

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Q: Sketch the graph of the following parametric equations. a. x = 4, y = sint b. x = e^t, y = e^2t, t ∈…

A: a) x=4 ,y=sint b) x=et,y=e2t ,t∈[0,∞) c)x=3sint,y=4cost ,t∈0,pi

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Q: by identifying the domain and any symmetries, finding the derivatives y' and y'', finding Graph the…

A: We have,   y=x4+256x2

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Q: - 4 f(x) = (x+5)(BX- 7) 3_t46)(Ibt n )2 اہیے را

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Q: Without using symmetry, determine a definite integral that represents the area of the region…

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Q: 1 9 3 * 3 2 * -2 4 - 4 -4 The graph above shows the base of an object. Compute the exact value of…

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Q: Determine which graph corresponds to the area enclosed by the curves y = 4x² and y = x² + 7. O O ú 6…

A: To determine the graph that corresponds to the area enclosed  by the curves y=4x2 and y=x2+7. To…

Q: Construct a limit evaluation problem with an answer of 1. (do not use L'Hospital's rule)

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Q: please provide types solution step by step

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Q: Evaluate the double integral cos √√x² + y²dA, where D is the disc with center the origin 。 and…

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Q: I understand part A where g is not continuous, but I dont understand the differentiable part. Why is…

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Q: Given f(x) = = 3x + 7 √9x² A) Find lim f(x) ° x48 5 B) Find lim f(x) o x118 "

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Q: Write the trigonometric expression as algebraic expression in u. cot(cos^-1u)

A: We have to write the trigonometric expression as algebraic expression in u. cot(cos^-1u).

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A: The given image is:

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Q: +(Bot + B₁) cost, provided that sint and cost are not solutions of the homogeneous equation.…

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Q: Find the curvature of r(t) = (2t², In(t), t In(t)) at the point (2, 0, 0). K = Need Help? Read it

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Q: Cheap Chips Corp. monthly profit (in dollars) derived from the production and sale of device model…

A: Cheap Chips Corp. monthly profit (in dollars) derived from the production  and sale of device model…

Q: y 10 7 -10 -5 5 10 (a) Identify the function. Orational O exponential O radical O quadratic O…

A: A graph of the function is given. We have to identify the type of the function and find its…

Q: Find two unit vectors that make an angle of 60° with  v = 3i + 4j.

A: We are required to find: Two unit vectors that make an angle of 60° with  v = 3i + 4j.

Q: 3 Find the derivative of y=In (8x³-5x)

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Q: (4) Suppose V(t) represents the volume (in gallons) of water in a tank at time t, where t is the…

A: Given: Suppose V(t) represents the volume (in gallons) of water in a tank at time t, where t is the…

Q: Find the distance from the plane 6x+y+7z=54 to the plane 6x+y+7z=30 The distance is d= (Type an…

A: given planes are 6x+y+7z=54 and 6x+y+7z=30

Q: horizontal asymptote (c) Describe the end behavior of the function. End behavior: y y → as x → ∞ as…

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Q: Use the Shell Method to find the volume of the solid obtained by rotating region above the graph of…

A: By using the Shell Method to find the volume of the solid obtained by rotating the region above the…