Find the logarithm using the change of base formula. log 590 log 590 = (Round to four decimal places as needed.)

Q: (a) ㎡(c) = = (x) (9)

A: Since you have asked multiple sub parts in a single request so we will be answering only first three…

Q: 2. What is the equation of the circle that passes through (3,-4), (5, -6), and (1, 2)? 3. Find the…

A: As per the company's guidelines, we are supposed to answer the first question for you, Kindly repost…

Q: 2. Sodium chlorate crystals are easy to grow in the shape of cubes by allowing a solution of water…

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Q: Find the total differential d2 for the dx = 0.01 X= 2 Y = 0 and dy = 0.01 J2 and 42 LE of function…

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Q: Use the FOIL method to find the indicated product. (9x - 72) (3x - 7z)

A: By using the FOIL method to find the following product.

Q: Find the exact length of the curve. 36y² = (x² - 4)³, 2≤x≤6, y 20

A: Find the exact length of the curve.36y2=(x2−4)3,2≤x≤6,y≥0

Q: Find the midpoint of the line segment with the given endpoints. (2,-2), (8,8) (x, y) = (

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Q: 2. Find a function f such that f'(x)= xf(x)-x and f(0) = 2.

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Q: Use the second derivative test to find the x-coordinates of all local minima given the following…

A: The given function is

Q: Find the average value of the function h(x, y) = x³y² on the region bounded by f(x) = 2x + 2, g(x) =…

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Q: If the velocity function v(t) of an object is at its maximum, then the value of a(t), its A/…

A: We will find the value of acceleration.

Q: a. Find all the intersection points of the following curves. b. Find the area of the entire region…

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Q: If a snowball melts so that its surface aree decreases at a rate of 10 cm2/min, find the rate (in…

A: Shape of snowball is sphere.

Q: Problem 2: Use Cramer's Rule to solve for the System of Equations by hand: -x + y = 10 5x + 4y = 2

A: By using Cramer's Rule to solve the following system of equations.

Q: Compute the following values for the given function. f(x, y) = 8x² + 5xy - 9x + 4. f(1, 2) = f(2, 1)…

A: Given,

Q: 9. Assume that the oil spilled from a ruptured tanker spreads in a circular pattern (A = πr²) whose…

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Q: A particle is moving with the given data. Find the position of the particle. a(t) t²8t +4, s(0)= 0,…

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Q: Find the area between the curves. y=x2 − 9x + 3  and  y=x2 + 9  from  x=0  to  x=6

A: The region between the curves  from The graph of region

Q: Due Math 31 Chapter 9 Review Assignment 1. Verify y(x)=c, sin x + c₂ cos x-(cos x)In(secx + tan x)…

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Q: 2. For the function f(x) defined by the graph below, with each mark representing one unit, evaluate…

A: The objective of the question is to evaluate the limiting value ( functional value) of the given…

Q: Find the angle between u and v in radians. Round to the nearest hundredth of a radian.u=-4i-7j,…

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Q: Find the partial derivatives of the function fz(x, y) fy(x, y) = fry (x, y) = fyz(x, y) = f(x, y) =…

A: Given,

Q: An office machine is purchased for $5300. Assume that its salvage value, V, in dollars, depreciates,…

A: given function

Q: True or false: For any real number b > 1, and any real numbers > 0 and y > 0, it must be true that:…

A: Yes, the statement logb(xy)=logb ​(x)+logb ​(y) is true for any real number b>>1 and any real…

Q: Find the length of the following two-dimensional curve. r(t) = (201² - 2,48t² + 3), for 0 ≤t≤ 1

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Q: Suppose z = x² sin y, a = 48² t², y= 8st. A. Use the chain rule to find and all x, y, s and t in…

A: z=x2-t2 ,y=8st

Q: Suppose the demand for a product is given by D(p) = −4p + 111. A) Calculate the elasticity of demand…

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Q: Solve for x. 3x = 22 Select the correct choice below and, if necessary, fill in the answer box to…

A: The given equation is

Q: According to a study, a vehicle's fuel economy, in miles per gallon (mpg), decreases rapidly for…

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Q: Find all the local maxima, minima & saddle points of the function. f(x,y)=x2+14x+y2-4y+3. Plsprovide…

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Q: 8 3 Evaluate S -dx. 10 9x 4

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Q: Find the an equation of the hyperbola satisfying the given conditions. Foci at (-13,0) and (13,0);…

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Q: er does not exist, enter DNE.) reasing. (Enter your answer using interval notation.) creasing.…

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Q: Write each expression in the form 2 or 3x for a suitable constant k. (a) (2-x.2-5x) 6/11 (b)…

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Q: Find the equation (in terms of 2) of the line through the points (-4,-2) and (4,2) Y

A: Find an equation of the line pass through (-4,-2) and (4,2)

Q: If t(x)=0.9exln(x), find t′(5) to the nearest tenth

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Q: 2. For each expression f(x, y) below, D denotes the (natural/largest possible) do- main…

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Q: A population of 500 bacteria is introduced into a culture and grows in number 4t according to the…

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Q: If then the domain D of the function f is given by the set Select one: ○ {(x,y)|y² > x, ○ {(x,y) y²…

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Q: Find the unit tangent vector to the curve at the specified value of the parameter. r(t) = 3 sin(t)i…

A: The given curve .The aim is to find the unit tangent vector to the curve.

Q: A freshly brewed cup of coffee has temperature 95°C in a 20°C room. When its temperature is 68°C, it…

A: A freshly brewed cup of coffee has temperature 95°C in a 20°C room.When its temperature is 68°C, it…

Q: What is the characteristic polynomial of the matrix A = -24 0 8 -16 0 4 8 8 -20, For ease of entry,…

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Q: Differentiate. f(x) = In f'(x) = X 6

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Q: = Let F be the vector field F(x, y, z) = xi+yj +4zk √²+2 beneath the plane = = 3, oriented using a…

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Q: Find an upper bound error in estimating 3 [cos (3x) dx using the trapezoidal and Simpson's rule with…

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Q: (0) dx (logax) = (q). (sin-¹x) = dx (p) & (a*) = (r) dx (tan-¹ x) =

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Q: Find the partial derivatives of the function B || || w = √3r² +8s² + 6t²

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Q: 75. g(t) = 3t5 - 30t4 + 80t³ + 100

A: we need to find the concavity of the function. given function

Q: 5. §11.5. Q31. Use a chain rule to find the value of dw dxs=1/4 if wr² - rtan 0, r = √s, 0 = πs.

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Q: Use the arc length formula to find the length of the curve y = 7 − 4x, −1 ≤ x ≤ 2. Check your…

A: The objective of the question is to evaluate the arc length of the given function over the asked…