Given that log a ( 2 ) = m and log a ( 3 ) = n , write exact expressions in terms of m and/or n for each of the following:

Q: Find the equation of the tangent line to the graph of the function f(x)= 2+5 z-8 at the point

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Q: For a certain automobile, M(x) = - .015x² +1.32x-7.3, 30≤x≤ 60, represents the miles per gallon…

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Q: Express in exact form: In(x² + 1)dx

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Q: Consider the following. u = −7i - 2j - 4k, V = 4j + 4k (a) Find the projection of u onto v.

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Q: 'y-1 ++ Beson Muss 1- +

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Q: 1. A curve in the plane is defined parametrically by: x(t) = t +1 and y(t) = t2-5t +2. a)Convert the…

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Q: Suppose that in solving an equation over the interval [0,360°), you reach the step sin 0= --- 2…

A: Solve the following

Q: 3. Evaluate SIS 3z dV where E is the region inside both x² + y² + z² = 1 and z = E x² + y².

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Q: Find the derivative of the following function. f(x) = sinh 16x

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Q: teeeee Find the vector v with the given magnitude and the same direction as u. V Magnitude ||v|| =…

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Q: y = (201³ - 6) Find d²y da 3 9

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Q: 4. (x²-5x+6)y" - 3xy' - y = 0; Xo = 0

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Q: It was noon on a cold December day in Tampa: 16°C. Detective Taylor arrived at the crime scene to…

A: The solution is given below

Q: MHF4U Name: Date 3. Erin travels north and south from Main Station. The distance, in km, of the…

A: We need to find time.

Q: question#22

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Q: Evaluate the following limit. Use l'Hôpital's Rule when it is convenient and applicable. log 6X log…

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Q: Average Cost Jesaki Water Sports incurs the following costs in producing a water ski vests in one…

A: Here we have to use the concept of derivatives

Q: Find the area of the region bounded by the graph of ​f(x)=sin x and the​ x-axis on the…

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Q: Select all that apply: f(x) is not continuous at x = 3 because limf(x) ‡ƒ(3). Of(x) is continuous at…

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Q: Find the gradient of the function at the given point. Function Point f(x, y, z)=√√√√x² + y² + z² (4,…

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Q: Do question 33.

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Q: Rewrite the expression as a sum, difference, or product of logarithms. log 4 10x O log2 10 + log2 x…

A: To rewrite the expression

Q: The derivative of a function of fat z is given by provided the limit exists. f(x+h)-f(x) = f'(x) =…

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Q: Use CRAMER'S RULE to solve the system : 2x-y-z = 2 4x + y -z =-5 6x - 2y +2z=17

A: To solve the system using Cramer's rule.

Q: (2x +3y) dx + (y +2) dy = 0

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Q: Find the Laplace Transform of f(t) = 3e + 4t² - 2

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Q: Hello! Can someone help me solve both A and B. Thank you! Please show all work, as i keep getting…

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Q: Suppose that $600 are deposited at the beginning of each quarter for 10 years into an account that…

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Q: Without using a calculator, evaluate the following expression or state that the quantity is…

A: To evaluate the following expression.

Q: Find the function f if. Vf-(3a²y + y², a² + 2xy), Vf dr with and without the Fundamental Theorem of…

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Q: Find the gradient of the function In(x² − y) – 1, X Vz(2, 3) = Z at the given point. (2, 3)

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Q: Evaluate the limit lim_ (8x² + 4) (6x + 8 →7

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Q: What is the directional derivative of f(x, y, z)= In x 2 + 2y2 + 4 z 2 at the point P(-1. 2, 4) in…

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

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Q: a) Find the derivative of each function. Show all your work and simplify the result completely. en…

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Q: u = -7i - 2j - 4k, v = 4j + 4k (a) Find the projection of u onto v. -6 2 (b) Find the vector…

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Q: The dose-response curve for x grams of a drug is f(x) = 8(x − 1)³ + 8 for x ≥ 0. (a) Make sign…

A: The solution is given below

Q: Determine the number of triangles ABC possible with the given parts. A=43.3° a = 8.6 b= 10.3 How…

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Q: (2) / 1 - 12/9 - x2 dx

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Q: Find the length of the curve. 1 10x3' y 6 + 1 ≤ x ≤4

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Q: The approximate rate of change in the number (in billions) of monthly text messages is given by the…

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Q: How long it would take to double an invesment if the rate of interest is 10% compounded quarterly?

A: Follow the procedure given below.

Q: The indicated function y₁(x) is a solution of the given differential equation. Use reduction of…

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Q: 16. x²y" (x) + 5xy' (x) + 4y(x) = 0 ; y (1) = 3, y' (1) = 7 17. x³y"(x) + 6x²y"(x) +29xy' (x) -…

A: The given differential equation is;  x2y''(x) +5xy'(x) +4y(x)=0, y(1)=3, y'(1)=7.

Q: s ide Jan and Jim started hiking from the same location at the same time. Jan hiked at 2 mph with a…

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Q: Find the absolute extreme values of the function on the interval. F(x)= == 3 21 0.5≤x≤2 OA. absolute…

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Q: Use an appropriate area formula to find the area of the triangle with the given side lengths. a = 14…

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Q: TryMaryviar yıvıar Question 9 of 10 Find the equations of the tangent lines to the graph of y=x2+6…

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Q: VAI a. b. Given y =(x-2)²(3-x). Find the C. d. stationary points, interval of increasing and…

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Q: Find the angle between the vectors in radians and in degrees. (Round your answer for part (a) to…

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