In the triangle shown above, if increases at a constant rate of 3 radians per minute, at what rate is y decreasing in units per minute when x equals 3 units? A. 3 B. 15 4 0 C. 4 D. 9 E. 12

Q: At t = 0, a train approaching a station begins decelerating from a speed of 104 mi/hr according to…

A:

Q: 5. Logarithmic Differentiation Method (a) Let y = n. Compute dy by using logarithmic…

A: solutions:-(a) y=xlnxtaken log both sideslny=lnxlnxlny=lnxlnx=lnx2differentiate both sides w.r.t…

Q: find the average rate of change from 2 to 3 for each function f. Be sure to simplify.   f1x2 = 3x -…

A: The average rate of change of function denotes how much the function changed per unit over the given…

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A: We use differentiation to Eliminate the arbitrary constant, we differentiate the given equation as…

Q: Use limits involving to to describe the asymptotic behavior of the function from its graph. (If an…

A: From graph f(x) goes towards 1 at left end of graph

Q: Find the derivative of the following function. f(x)=√coth (2x)

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Q: 3. m 1 773 7/2 The graph of the function f(x) = cotxe is given above for the interval x = [0, 2π]…

A: The graph of the function fx is To evaluate: The values of limx→π-fx,  limx→0+fx

Q: Determine the slope and y-intercept of the graph of 3x - 5y = 30.

A: The given equation: 3x - 5y = 30 To determine: The slope and the y-intercept of the given equation.

Q: Solve for the value of C in the equation: O A. 1 (2xy4ey + 2xy³ + y)dx + (x²y4eY - x²y² - 3x)dy = 0…

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Q: Evaluate f(x) ƒ(1) = f(x + 7) = f(x) + f(7) f(x + h) = = = x + 2 at the indicated values.

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Q: Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms.…

A: Here we can create the required polynomial function in the below steps.

Q: 4. Find the limit. lim x-0 lim X-0 5+5x+ sin x 6 cos x 5+ 5x + sin x 6 cos x CA. Yes, lim f(x)…

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Q: Question 16 Eliminate the arbitrary constants of y=c₁e³+₂x4-sin 3x

A: We are given a differential equation,  y = c1ex +c2x4 -sin3x   ... @ We havet o eliminate arbitrary…

Q: Let f(x,y)=(−(5x+y))^7 . Then     ∂^2f/∂x∂y =     ∂^3f/∂x∂y∂x =     ∂^3f/∂x^2∂y =

A:

Q: Filling a Conical Tank Water is poured into a containerin the shape of a right circular cone with…

A: Volume of the cone=13πr2hGiven:-Radius of the base of cone=4 feetheight of the cone=16 feet.and…

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A: To check: Which of the given differential equations is linear?

Q: Find the limit of each of the following sequences, using L'Hopital's rule when appropriate. √n Vn+1

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Q: Find the explicit solution of dy/dx=2xy² + 3x²y², y ( 1) = − 1 O 1/y=3-x²-x3 Oy=x²/2+x²³/3-3…

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Q: The integrating factor (IF) of the equation: (2x³y² + 4x²y + 2xy² + xy² + 2y)dx + (2y³ + 2x²y +…

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Q: Please have a systematic way of solution (Question-Solution-Final Answer-Conclusion format) E.…

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Q: Evaluate using integration by parts or substitution. Check by differentiating. (2x²-7x) e7x dx √(2x²…

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Q: True or False The slope of a nonvertical line is the averagerate of change of the linear function.

A: The average rate of change of the linear function is the slope of a nonvertical line.

Q: Evaluate the following integral. 48x² (x-21)(x+7)² dx Find the partial fraction decomposition of the…

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Q: Let Calculate the following limits. Enter DNE if the limit does not exist. lim f(x) Number _7_←8 lim…

A: Given query is to find indicated limits.

Q: Find the general form of f if f'(x) = 10f(x).

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Q: Evaluate the limit 16x √x lim x 16 4 Number

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Q: The total cost in dollars of producing x lawn mowers is given by C(x) = 4,000 + 90x - x2/3 . Find…

A: NOTE: Refresh your page if you can't see any equations. . the given cost function is the average…

Q: Compute f' and find an equation of the tangent line to the graph at x = a. f(x) = 9x-³, a = 5. (Use…

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Q: You want to make an 80° angle by marking an arc on the perimeter of a 12-in.-diameter disk and…

A: Given data:- The given angle is, θ=80° The given diameter is, d=12 in So, the radius is, r=6 in.

Q: Solve for the value of C in the equation: O A. -5 B. 5 O C.-4 O D. 4 O E. None of the Choices dx…

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Q: Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms.…

A: degree=3

Q: The equation y = 1x - c2 2 defines a family of parabolas,one parabola for each value of c. On one…

A: Given, y=x-c2                     ... 1

Q: Uranium-238 (0-23 has a hall-me of 4. and determine that 67% of the original U-238 remains; the…

A: We will find the age of rock.

Q: 1/2 d lim f(x) = Z→** d lim z→ (2T) e graph of the function f(x) = cscx is given above for the…

A: Given query is to find indicated limits.

Q: Evaluate the limit If the limit does not exist enter DNE. Limit Number = lim x 6 x2 x-6 6 x

A: To evaluate the following limit.If the limit does not exist then to enter DNE.limx→6 x-6x2-6x

Q: Find the area between the curves (Hint: Your answer will be in terms of a.) The area is f(x)=x and…

A: area is=a3/6

Q: 9. Determine the convergence of the following series using the ratio test. If the ration test is…

A: Ratio Test

Q: Graph the functions ƒ(x) = sqrt(x )and g(x) = sqrt(1 - x) together with their (a) sum, (b) product,…

A: Given data:- The given functions is, fx=xgx=1-x

Q: A central angle in a circle of radius 8 is subtended by an arc oflength 10pai. Find the angle’s…

A: Given: Length of arc, l=10π units Radius , r=8 units To find the central angle’s radian and degree…

Q: Given the plane л: 2x + y - 3z - 2 = 0, and the lines l₁: 2 - Z-4 y-1 x+1 x==¹=24 and ₂: *1 = y…

A: (b) Given two lines l1: 2-x=y-12=z-43 write it in standard form…

Q: Let f(x) = 4x + 4 6x + 7 Determine (fof)(x).

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: - A) -16x-5-x-2/3 C) 3 4) Find: d 4 dx x4 5 -4/3 B) ਪ੍ਰੈਲ-5-1582/3 D) - 1 5-2/3 433 3

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Q: lim x→7 x-7 14 x² - 7²

A: SOLUTION-

Q: Evaluate the following integral. 4 ex S- 2x 9- e -dx

A: See this solution in below.

Q: Find the derivative: f(x) = (4 sin x + 8 cos x)tan -1 X

A: To find the derivative of given function.

Q: Find the total area bounded by the graphs of f(x) = 3x³x² - 10x and g(x) = -x²+2x. O 32 units² O 8…

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Q: The integrating factor (IF) of the equation: (2x³y² + 4x²y + 2xy² + xy + 2y)dx + (2y³ + 2x²y + 2x)dy…

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Q: Graphing a Linear FunctionGraph the linear function f1x2 = - 3x + 7. What are the domain and the…

A: Given, fx=-3x+7

Q: Determine the degree, order, and whether it is linear or non-linear 3 (y") ³-4y²= 10e 5x First Order…

A: Topic- Differential equations We are given an equation, (y'')3-4y2=10e5xOrder=Order of the…

Q: Sketch the region bounded by the curve x² - 2 = y and the line x = y + 2 and find the volume of the…

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