Set up an integral for the area of the surface obtained by rotating the given curve about the specified axis. x = 2 cos2(y),    0 ≤ y ≤ pi/2;  y−axis

Q: 29. Evaluate these questions involving asymptotes. a. b. Find the horizontal and vertical asymptotes…

A: Vertical asymptotes occur whendenominator is 0. , Equation of vertical asymptotes Degree of…

Q: Evaluate the derivative of the function at the given point. Use a graphing utility to verify your…

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Q: Given the function f(x) = sqrt(3x), determine the slope of the tangent line of f at x=6 using the…

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Q: Find the value o the derivative (if it exists) of the function f(x)= Select one: 4 a. 10 Od. 4 b. 1…

A: Given Function

Q: The profit P (in thousands of dollars) for a company spending an amounts (in thousands of dollars)…

A: Solution-Given function is,

Q: Differentiate the given series expansion of f term-by-term to obtain the corresponding series…

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Q: Let r(t) = (5 t, 4t – 3, 7t) and P(4, 1, 7). (a) Find the arc length function s(t) for the curve…

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Q: USE INTEGRATING FACTORS 1. Find the General Solution: Answer is already given. 22. y'= 1+ 3y tan x…

A: The given differential equation is; y'=1+3ytanx

Q: QUESTION 2 Consider the function 13 f(x) = 6 10 -x² − −x+1 - 7 on which interval is the function…

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Q: . Determine the sum of 7 arithmetic means between 69 and 93.       A. 567…

A: There are 7 arithmetic means between 69 and 93:This means that 69 is the first term and 93 is the…

Q: the following matrix product, if it exists. 0-50 4 -4 4 4-5 2 0 -50 4 -4 4 -2 -2-5 ct the correct…

A: Given Matrices is as follows

Q: lim X118 2x² +5x+1 4 x² - 3x²

A: The given limit is,

Q: Differentiate the function. 6x²-1 3x³+4 y= y' = 5

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Q: Set up a DE with initial condition(s) for the situation: Frank's automobile engine runs at 100…

A: Frank’s automobile engine runs at 100 degree-C.The outside temperature is 21 degree-C.He turns off…

Q: Solve the differential equations (y - 2)dx - (x -

A: Since we have multiple number of questions and answers will be according to the guideline

Q: he f Practice 1: Use the definition of derivative at a number a to find f'(a) of the functions given…

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Q: Use the alternate form of the derivative to find the derivative at x=c, if it exists. f(x) = x³ +…

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Q: The graph of a function is given; each grid line represents 1 unit. Use the graph to complete parts…

A: Domain is the value of x for which the function is defined. Domain of the function is : (-2,7) Range…

Q: Find the second derivative of y, where y = t² sint.

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Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,…

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Q: Find a particular solution to the differential equation y" + Oy 16y 1875 sin(3t) Answer: y(t)= Your…

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Q: Evaluate the integral: Hint: Integrate by parts. Olet u=x², du=2xdx, dv=cosxdx, v= sinx [x²cosxdx =…

A: We have to evaluate the integral.

Q: two sides of a triangle have lengths 10 and 13. the angle between them is increasing at a rate of…

A: We have that the two sides of a triangle have lengths 10 and 13.Let x be the required third side of…

Q: what is the soultion to this equation please explain 2cos x-1=0

A: Explaination of the answer is as follows

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = In (√2-x²) dy =

A: The given equation is,Take derivative.

Q: USE INTEGRATING FACTORS I. Find the General Solution: Answer is already given. 2.2(2xy +4y - 3) dx +…

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Q: two sides of a triangle are 4 and 8 m in length; the angle between them is increasing at a rate of…

A: Let two sides of triangle be a and b Given, two sides of a triangle are 4 and 8 m in length.Given,…

Q: Evaluate ㅠ ** 0 sin (9x) sin(3x) dx.

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Q: 5л Find the secant (if it exists) of the angle = 4

A: The aim is to find the value  for

Q: Evaluate the indefinite integral sin² r cos³ rdr

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Q: Find the particular solution of the differential 2y-x dy equation: when x=2. y + 2x/ dx = 1 given…

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Q: a street light is mounted at the top of a 16ft tall pole. a 6ft tall woman walks away from the pole…

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Q: Find the equation of the tangent line to the graph of the given equation at the indicated point.…

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Q: Prove that 1 + nx is less than or equal to (1+x)^n for all real numbers x>-1 and integers n >=2…

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Q: 2. Where does the line z = 2-t, y = 3t, z = -1 + 2t intersect with the plane 2y + 3z = 6.

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Q: let y = 2 tan x find the differential and evaluate dy and delta y when x = pi/4 and dx = -0.1

A: For the right-angle triangle use the Pythagorean theorem.

Q: 15. Write an equation for a function whose graph fits the description given below. The graph of f(x)…

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Q: 7. A thermometer reading 75°F is taken out where the temperature is 20 °F. The reading is 30 °F…

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Q: 1. Find a parametric representation of the solution set to the linear equation 12x1 +24x2 - 36x3 =…

A: The given equation is,Solve for Divide both sides by 12

Q: . lim 8118 2x³ √√x+4x7-2x²-1 V

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Q: Find the directions in which the function increases and decreases most rapidly at P0. Then, find the…

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Q: Consider the following. y = y = 0 X = 5 6-X (a) Use a graphing utility to graph the region bounded…

A: Consider the following.By using a graphing utility, to graph the region bounded by the graphs of the…

Q: 2 Find the area of the region enclosed by the graphs of f(x) = x² + 2and g(x) = 2x + 5.

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Q: Find the cosecant (if it exists) of the angle √2 √√2 2 0-√2 O 0-220 √2 0 = 5л 4

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Q: Find the derivative of the function. 2 f(x) = n(1 + ²) f'(x) =

A: To find the derivative of the following function.

Q: USE INTEGRATING FACTORS I. Find the General Solution: Answer is already given.. 16. v dx + (2x + 1 −…

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Q: Find the derivative of g(a) 32x-1 5 1 6x²-3x+1/

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Q: USE INTEGRATING FACTORS I. Find the General Solution: Answer is already given. 3. y' = x - 2y Ans.…

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Q: 5. Use the table of ordered pairs to determine the value of each composite function. f(x)=x²-15 g(x)…

A: f(x)=x2−15g(x)=xxf(x)xg(x)1−14112−11423−69341164510255621366734497

Q: A large tank s filled to capacity with 400 gallons of pure water. Brine containing 2 pounds of salt…

A: According to bartleby guidelines we are supposed to do the first one of multiple questionsKindly…