A gasoline-powered lawn mower produces a sound of 98 decibels. An electric lawn mower produces a sound of 73 decibels. Which statement best describes the comparison between these two types of lawn mowers? Remember, loudness, L, is determined by the following formula: L=10-log(P) L = loudness in decibels (dB) P=power of sound in watts Prer reference power level of 10-12 watts A The gas-powered lawn mower produces a sound that is approxi- mately 320 times more powerful than the electric lawn mower. D The gas-powered lawn mower produces a sound that is approxi- mately 25 times more powerful than the electric lawn mower. C The gas-powered lawn mower produces a sound that is approxi- mately 10²5 times more powerful than the electric lawn mower. The gas-powered lawn mower produces a sound that is approxi- mately 1250 times more powerful than the electric lawn mower.

Q: If the point (m,n) is on the graph of y = f(x), what must the point be on the graph of y=f(x + 2)-5?…

A:

Q: Solve for x. x(x+4)= 24 (no decimals allowed)

A:

Q: Enter the equation for each plane. Note: each plane is parallel to one of the coordinate planes. a)…

A:

Q: L-1 s+1 s² +2

A: To find

Q: Find the Solution of the following differential equation 3Y"+Y-14y = 2 ex

A:

Q: Compute for the interval [4, 6], where y = 5x − 6. Ay Ax What is the slope of the tangent line at x…

A:

Q: Complete the equation for the piecewise function graphed below. O 75 $324 { -6 -5- + + { -2 4 $ 12…

A:

Q: Suppose F(x, y) = (x + 5)2 + (4y + 6). Use the fundamental theorem of line integrals to calculate…

A: The objective of this question is to calculate the line integral of a function F(x, y) along a line…

Q: Consider this problem: Find the area of the region enclosed by the parabola, y=1+x², the vertical…

A: The objective of this problem is to find the area under the curve of the function y = 1 + x² between…

Q: An individual retirement account (IRA) has 24,000 in it, and the owner decides not to add any more…

A:

Q: Find the exact solution(s) to the following equation. 2e²x=5e*-2

A:

Q: 24. a. tan b. tan 11π 6 11π 6

A:

Q: Find the vectors T and N and the binormal vector B = T x N, for the vector-valued function r(t) at…

A:

Q: Use the properties of the derivative to find the following. r(t) = ti + 4tj + t²k, u(t) = 5ti + t²j…

A: Given: To Find: To find the following:

Q: Consider a= [5, 1, -2]. Let a be the angle that a makes with the positive x-axis, & be the angle…

A: Given that Let  be the angle that  makes with the positive x-axis. Let  be the angle that  makes…

Q: For the following exercises, use the vertical line test to determine which graphs show relations…

A: Vertical line test:-If a vertical line on graph intersects only one time then the relation is…

Q: Suppose that f has a domain of [5, 13] and a range of [6, 16]. (a) What are the domain and range of…

A:

Q: Find the unit tangent vector to the curve at the specified value of the parameter. (7) = r(t) = 3…

A: The objective of this question is to find the unit tangent vector to the curve at a specific value…

Q: Graph the function and then find the specified limit. When​ necessary, state that the limit does not…

A: The objective of this question is to find the limit of the function f(x) = 1x + 4 as x approaches…

Q: 2. Assume all given functions are continuous. If lim (ƒ(x) – g(x)) = 10 and ƒ(5) = −8 x → 5 Find…

A: The objective of the question is to find the value of g(5) given that the limit as x approaches 5 of…

Q: Find the volume of the solid generated by revolving the following region about the given axis. The…

A: To find the volume of the solid generated by revolving the following  regionabout the given axis.The…

Q: In Exercises 41-56, use the circle shown in the rectangular coordinate system to draw each angle in…

A: (50)The given angle is .The aim is to sketch the angle in a standard position.

Q: -54 -3 -2 Where A = Where A = 16 3 Where A = da 2 + Where A = + What is the domain of this function?…

A: Given:A graph of functionTo find:Domain and range of functioninterval where function is increasing…

Q: 3 Compute the following limit for the function f(x) = x² - 2x Lim f(3+h)-f (3) 410

A: Given,Let,

Q: Decide whether the limit exists. If it​ exists, find its value.

A: The objective of this question is to determine whether the limit of the function f(x) = 4 - x as x…

Q: b. y = 3x²3,-2 ≤ x ≤ 2 2

A: Given: ²y=f(x)=3x²−3,−2≤x≤2²f(x)=3x²−3The closed interval is [−2,2]The graph of given function f(x)…

Q: The half life of polonium is 139 days, but your sample will not be useful to you after 93% of the…

A: The formula for amount of polonium-210 in the sample after t days Decay rate Initial amountAmount of…

Q: SOLVE THE FOLLOWING PROBLEMS AND SHOW YOUR COMPLETE SOLUTIONS. EXPLAIN YOUR ANSWERS FOR BETTER…

A: Let the amount of substance present at any time t is  mg.Given that the rate of decay proportional…

Q: 28. Make a "quick sketch" of the polynomial function. P(x)= x²(x-4) -

A:

Q: Find the limit. 4 lim x3 3x + 7 X

A: Check at which value you need to find limit.

Q: Find the Solution of the following differential equation y-2y+y = 3 Cos4x

A:

Q: Consider the function f(x) = x³ - 36x.

A: The objective of this question is to find the intervals on which the function f(x) = x^3 - 36x is…

Q: Find the volume of the solid generated by revolving the region bounded by the given curve and lines…

A: Need find the volume of the solid generated by revolving the region by the given curve and lines…

Q: 7. Rewrite the limit using your limit laws. Do not evaluate the limit. lim x²-3x Vr 12

A:

Q: 4. The region bounded by the curve y = x² + 1 and the line y = -x + 3 is revolved about the x-axis…

A:

Q: Determine whether each of the following series are convergent or divergent.  i. ∑ cos2 n / (n2 - 3)

A: Check whether the given series convergent or divergent

Q: W O O O 16 16 16 16 dy 2. Use the definition of the derivative to find of f(x) = f f(x) = =/1

A:

Q: Discuss the continuity of the function. X 4 f(x) x + 2 = f is discontinuous at x = 1 1 -5 -4 -3 -2…

A:

Q: The graph of y= f(x) has the point (-6,4), what would the point be on the graph of y= f(3x) be? O…

A:

Q: A rectangular swimming pool is 44 ft wide by 75 ft long. The table gives depths (d) from x = 0 at…

A: Given:A rectangular swimming pool is 44 ft wide by 75 ft long.To find:use the Trapezoidal Rule with…

Q: Find r'(t), r"(t), r'(t) · r"(t), and r'(t) x r"(t). - r(t) = 3t²i – 4tj + ²t³k 2 (a) r' (t) (b)…

A:

Q: In Exercises 5-18, the unit circle that follows has been divided into twelve equal arcs,…

A:

Q: The slope of the tangent line to f(x) = 3x² - 1 at x = 2 is 12. true false

A: The objective of the question is to verify if the slope of the tangent line to the function f(x) =…

Q: Evaluate the integrals in the following exercises using integration by parts. a) fxsin dx b) J0cos…

A:

Q: Problem 1. Evaluate the integral [2re² dr

A: Given Definite Integral as follows

Q: Assume that the function f is a one-to-o (a) If ƒ(4) = 4, find f¯¹(4). Your answer is (b) If ƒ−¹(−9)…

A:

Q: 3. For f(x) = 2x + 1, find the value of f(x)-ƒ(3) and simplify as much as possible.

A:

Q: Let f(x) be the following piece wise function f(x) = ( x ² + => if 0 1 Show lim f(x) does not exist…

A:

Q: The table below gives the annual sales (in millions) of a product. year 1998 1999 2000 2001 2002…

A: The table below gives the annual sales (in millions) of a product.To find the average rate of change…

Q: Add and/or subtract and then simplify completely: X- Numerator preview: X- 6 x + 5 + 9 x + 8 Enter…

A: