Use log, 20.401, log, 3≈ 0.503, and log, 5 0.794 to approximate the value of the given logarithm to 3 decimal places. Assume that b>0 and b ± 1. log, 75 X Ś

Q: Use properties of logarithms to condense the logarithmic expression below. Write the expression as a…

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Q: Find the one-sided limit (If It exists). (If an answer does not exist, enter DNE.) -(x². 9 X + 8 Ilm

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Q: To evaluate lim 6 sin x, use the theorem that states that if c is a real number in the domain of the…

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Q: Determine the equation of the parabola whose graph is given below. Write your answer in General…

A: We need to determine equation of parabola.

Q: 2. Set up, but do not evaluate, the integral which gives the volume when the region bounded by the…

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Q: of a) Sketch the region of integration and evaluate the double integral [.. Work Problem 1 b) Change…

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Q: Suppose we want to choose 2 objects, without replacement, from the 4 objects pencil, eraser, desk,…

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Q: An insulated heated rod with spatially heat source can be modeled with the Poisson equation. & T =…

A: answer is in next step. please give a like!!

Q: Find the limit. lim_ (x² + 2x) x--2

A: Solution

Q: Suppose that the position of a particle is given by s = f(t) = 2t³ + 3t + 9. (a) Find the velocity…

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Q: Determine the equation of the parabola graphed below. 5 4 3 2 1 0 1 2 3 4 5 6 7

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Q: Work Problem 3 a) Find the local maximum and minimum value(s) (if it exists) of the function f(x, y)…

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Q: Based on the graphs of f(x) and g(x), in which interval(s) are both functions increasing?…

A: Domain of g(x) can be broken into following intervals: (-inf,-3), (-3,-1) and (-1,inf) In each…

Q: 4. Geometric and non-geometric series. Determine the sum of the following series a) 2+ 2 + ² / + 2…

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Q: You are given the function ?(?) = ?4 − 8?3 + 18. Determine (a) the interval where f(x) is increasing…

A: I have solved step by step all parts in detail.....go through the solution

Q: Consider the parametric curve given by (a) Find dy/dx and d²y/dx² in terms of t. dy/dx = |d²y/dx² =…

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Q: Find the intercepts and the vertical asymptote of   f(x)=x2−4x−5/x−6 Enter the intercepts as…

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Q: 7) .  Use separation of variables to find the general solution. (Use C for the constant of…

A: answer is in next step. please give a like !!

Q: Find the equation for the line tangent to the parametric curve: at the points where t = 5 and t =…

A: Solution is given below:

Q: Can you please write it out I can't read it typed.

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Q: Newton's heating-cooling law states that the rate of change in the temperature, H, is proportional…

A: This is a problem related to differential equation. Please follow the procedure given below.

Q: Problem 3.3 Find the equation of the tangent line and normal line to the curve at the given point.…

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Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis.…

A: Given: |v|=4, θ=3.1°

Q: Find an equation for the graph sketched below -5 -4 -3 -2 -1 f(x) = 8 6 5 3 2 1 -1 -2 -3 -4 -5 -6…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Consider an object moving along a line with the following velocity and initial position. v(t)= 12-4t…

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

Q: 9).  Find the general solution to the differential equation. y' = 2xy2 y =     PLEASE SHOW STEP BY…

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Q: Given a function f(x) = 3x² + 4, what is the average rate of change of fon the interval [2, 2+ h]? O…

A: Topic = Functions

Q: Find the exact solution for e^2x−3e^x−10=0.   If there is no solution, enter NA Enclose arguments…

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Q: Evaluate the line integral, where C is the given curve. [x² x sin(y) ds, C is the line segment from…

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Q: 14) . Solve the initial value problem. y' = (x − 1)(y − 2),  y(2) = 2 y =   PLEASE SHOW STEP BY…

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Q: If f(x) = 6 + 5x > Next Question 5x², find f'(-1).

A: We have to find the value of f'(-1).

Q: The graph of the function f is shown below. If m is the slope of the line tangent to the graph of…

A: From the given graph, we have to find the slope of the tangent line at x=-7

Q: The following equation is given. Complete parts (a)-(c). x³-5x²-9x+45=0 a. List all rational roots…

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Q: Find the 11th term of the following geometric sequence. 2,8, 32, 128, ...

A: This question can be solved using the formula of general term of geometric sequence.

Q: If you are given the rate of change of a function f, and an interval, what is the total change over…

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Q: Solve the following exponential equation. Express the solution in terms of natural logarithms or…

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Q: 3 A person can memorize words at the rate of words per minute. (a) Find a formula for the total…

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Q: Solve the equation for exact solutions in the interval [0°,360°). Use an algebraic method. 2 9 sec²0…

A: Given.

Q: A Sliding Ladder A 26 ft ladder leaning against a wall begins to slide. How fast is the top of the…

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Q: Solve dN dt = (1¹ 1+ cos(2nt) N where t ≤0 and N(0) = No.

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Q: A factory has in stock 300 kg of a certain material, which is sold to the customers in 10 kg…

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Q: Write the product as a sum or difference: 18 cos(22c) sin(9c) =

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Q: Which of the following direction field will represent the differentia equation y = y + 1

A: To find which direction field will represent the given differential equation.

Q: The population of a city is modeled by the equation  P(t)=449,512e^0.25t where t is measured in…

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Q: 2x ? What is the average value of f(x), between x = 0 and x = 3 for f(x) = (x²+3) Z What is the…

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Q: By power series, solve the ODE y' - 2xy = 0.

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Q: 23) . Find the solution to the differential equation y' =    5y satisfying y(0) = 18.   y(t) =

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Q: Find f. f '(x) = 1 + 3(sqrt(x)),    f(4) = 22 f(x) =

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Q: A bank pays compounded interest each year. Sue deposits $100 in the account, and after 3 years Sue…

A: Topic- differential Equations

Q: Find the limit. (If an answer does not exist, enter DNE.) x Ilm x-0 x² - 2x *2

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