Use the properties of logarithms to write each expression in Problems 39-42 as a single logarithm. 39. In x - In y 40. log3 (x + 1) + log3 (x - 1)

Q: Evaluate the integral by making the appropriate substitution: u = dx (3x + 12)³ 1 6(3x+12)² + C dx…

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Q: Find the radius and the center of the circle given by 2x² +8x+2y² −12y+25=0

A: Given query is to find the radius and the centre of the circle.

Q: Covid pandemic caused a company annual revenues to drop from 530M in 2019 to 386M in 2021. If the…

A: exponential pattern of decline R = R0e-ktwhere R= revenue at time t R0 = initial revenue when t = 0…

Q: Answer the following questions about the function whose derivative is f'(x) = a. What are the…

A: Here we have to choose the correct option.

Q: An expression that occurs in calculus is given. Factor the given expression completely. 2(3x-4)…

A: To factorize the given expression

Q: The demand functions for two products are given below. P₁, P2, 91, and 92 are the prices (in…

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Q: Graph the following Functions x+6 1. f(x) = (x-2)(x+3) 2. f(x) = x²+x-6 x²-x-2

A: According to question,Given Functions,1. fx = x+6x-2x+32. fx = x2 + x-6x2 - x-2

Q: Problem #1 The City Council proposed to utilize government-owned land with an area of 9,600 square…

A: We know that area of the rectangle is given as - Area= length × width  And differentiation of xn is…

Q: Evaluate, using substitution f 24t5 4t6 +3 - dt. T

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Q: Determine the first two terms and the last two terms in the sum given below. Provide your answer…

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Q: # 10 8- 6- -10-8-6-4-2 2- -2- -4- --6- -8- X 246 6 8 10 Q G

A: Given query is to find the equation of the line.

Q: For each of the following decide whether the vector field could be a gradient vector field. Be sure…

A: According to bartleby guidelines we supposed to do the first one of multiple questionskindly repost…

Q: Suppose that an object initially having a temperature of 20°C is placed in a large temperature…

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Q: 30. In right triangle ABC, A = 15°, c = 37, and ZC is the right angle. Solve the ha tenth, if…

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Q: Find or approximate all points at which the given function equals its average value on the given…

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Q: Find dy/dx for y= square root of u and u=x2+6.

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Q: Find the indefinite integral. (Use C for the constant of integration.) 6 1.* dx e + 1

A: Given ∫6e-x+1dx

Q: Find the future value if $2000 is invested for 8 years at 12% compounded annually. (Round your…

A: $2000 is invested for 8 years at 12% compounded annually. We have to find the future value.

Q: Y -4).0 . C is the path along (x + 2)² + (y + 2)² = ≤ y-1' x+4 exactly once, starting at (1, -2) and…

A: Please see the below picture for detailed solution.

Q: Identify the coordinates of any local and absolute extreme points and inflection points. Graph the…

A: concept  Graph of the Function: The given function is expressed in the product form too but we shall…

Q: A C 1 f(x) f(x) B D f(x) f(x)

A: Note :- These are multiple sub parts and according to compnay law we can do maximum 3 sub parts so i…

Q: ) if fcx) f (x) = = f 2 [ x² + x² +5 sin (+) dt

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: A television camera is positioned 4000 ft from the base of a rocket launching pad. The angle of…

A: A television camera is positioned 4000 ft from the base of a rocket launching pad. The angle of…

Q: 3) Given that f (x) = 2x + 8 g(x) = 5x – 2 / 4 and h(x) = 2x + 6 / X Find: - iv) hᴏf(x)= v)…

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Q: Find parametric equations for an object moving clockwise along the ellipse X= = 1 beginning at (2,0)…

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Q: What is S₁, of the geometric sequence? Round to the nearest whole number. 10 8, 20, 50, 125,... O a…

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Q: A circular arc has measure 13 ft and is intercepted by a central angle of 2pi/3 radians. Find the…

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Q: Estimate the value of tan-1(0.09) using linear approximation.

A: Aim : To find tan-1(0.09)

Q: Answer the following questions about the function whose derivative is given below. a. What are the…

A: To get critical points of f(x) we put f'(x)=0

Q: a. 4 S x² dx 0,5

A: Simpsons 1/3 rule is given below: ∫abf(x)dx=∆x3fx0+4fx1+2fx2+..........+2fxn-2+4fxn-1+fxnWhere…

Q: Find the indefinite integral. (Use C for the constant of integration.) Ï 11 (z - 12) ¹1 dz

A: Use the substitution method to find the indefinite integral.

Q: 3. Find the center, foci, and vertices of the ellipse, and determine the lengths of the major and…

A: NOTE: Refresh your page if you can't see any equations. . compare this equation with the standard…

Q: Evaluate. [cos³ z sin x sin³ x dx

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Q: Find all points on the x-axis that are 6 units from thepoint (4, - 3)

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Q: Find the point P on the graph of the function y = √√x closest to the point (5,0) The x coordinate of…

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Q: A (2, 1) 삼

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Q: An investment grows at 24% compounded monthly. How many years will it take to do the following?…

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Q: 1. Find the equation (in center-radius form) of the sphere whose diameter has endpoints at A(1,4,-2)…

A: Let's find equation of sphere.

Q: Find the midpoint of the line segment from (9,-7) to (-2,1). Midpoint Give your answer as a point,…

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Q: Suppose $9000 is invested at 9% interest compounded continuously. How long will it take for the…

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Q: Use linear approximation, i.e. the tangent line, to approximate √16.4 as follows: √. Find the…

A: Given query is to find the value of the expression

Q: Consider the function f(x) = 3 - 6x², -5 ≤ x ≤ 1. The absolute maximum value is and this occurs at x…

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Q: The radius of a spherical tumor is growing bycentimeter per week. Find how rapidly the volume is…

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Q: What lump sum do parents need to deposit in an account earning 14%, compounded monthly, so that it…

A: Topic - Compound interest We are given, Future value =FV=$90000 Time=18 years rate of interest =14%…

Q: 8. 2 sin² x 5 sin x + 2 = 0

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Q: (e²y - ycosxy)dx + (2xe²y — xcosxy + 2y)dy = 0 -

A: To find the general solution of given differential equation

Q: Assume a population of fish grows exponentially. A pond is stocked initially with 500 fish. After 6…

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Q: 1. For each problem, find f(x): A. f"(x)=20x³-12x² +6x

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Q: A cup of hot coffee whose temperature is 200°F is poured in a room whose temperature is 70°F. Two…

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Q: A jet is flying through a wind that is blowing with a speed of 45 mi/h in the direction N 30° E (see…

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