-1 Find the domain and the range of g(x) = sin-¹(3x + 1). Domain: Range: << ≤ y ≤ <

Q: 7. f sinx cos³ xdx

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Q: In a certain city the temperature (in degrees Fahrenheit) t hours after 9am was approximated by the…

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Q: Consider a wire 4 ft long cut into two pieces. One piece forms a circle with radius r and the other…

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Q: Find and prove the limit or deteremine if the limit doesn't exist: n/(n2n-5)

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Q: Find the volume of the solid obtained by rotating the region under the graph of the function f(x) =…

A: To solve the following problem of finding the volume

Q: Find the volume of the solid obtained by re -e region bounded by the graphs of y=x²+²x+1 y=1-x…

A: y = x2 + 2x + 1 y = (x + 1)2 This function is a parabola with its vertex at (-1, 0). Line is y + x…

Q: Evaluate Your Answer: Answer [₁¹ 1 - 3x √x dx

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Q: Find the points of local and/or absolute maximum and minimum for the function f(x)=√9-x over [1,9].…

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Q: 7. Evaluate Definite Integral 4 X/4 -4 3 dx

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Q: Please graph: f(x) = 36x + 3x2 - 2x3

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Q: - Use the Laws of Logarithms to combine the expression. 5 log(x) − 8 log(x + 1)   - Find all…

A: We know (i) loga-logb=log(a/b) (Ii) log(a)b=bloga  x=a is said to be vertical asymptote of y=f(x)…

Q: Evaluate the repeated integral: a) 0 12 e² - 12 e b) 06 c) 0 24 d) 12 e) 0 24 e² - 24 e f) O None of…

A: We need to find the value of ∫-11∫1y-2∫ee23x+3yzdzdxdy

Q: A quadratic function f is given. f(x) = x² + 4x + 3 (a) Express fin standard form. f(x) = (b) Find…

A: Let's find standard form , x and y intercepts, vertex, domain and range.

Q: Solve the following DE: (1+ y² + xy²) dx + (x²y + y + 2xy) dy=0 O2y²+x²(1+x)²=C O 2y²+x²(y + x)² =c…

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Q: x· j5 dy = y²-x²y dx Which appropriate substitution must be used to solve the above differential…

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Q: 5. Find a derivative of an exponential function. 2x y = e 2x e^+1 е

A: Solve for the derivative

Q: Find f'(16) if f(x) = 7x² + 3x +3 √I

A: To find the derivative of given function

Q: Use the guidelines of curve sketching to draw the graph of x² x² + 3 y =

A: A detailed solution is given below

Q: Find the volume of the solid that is obtained by revolving the region about the line y 2 y = 5/2 y =…

A: Volume of solid formed on revolution of a region R around y=a is V=π∫cd(r'2(x)-r2(x))dx where r'(x),…

Q: Question 1 differential equation Consider ta linear xy' + 3y = 2x³. (a) Find the integrating factor…

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Q: Question Find the Taylor polynomial p2(x) for f(x) Provide your answer below: p₂(x) = 5e at x = 1.

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Q: Which of the following is a proper substitution to solve the Bernoulli's equation Select one: O None…

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Q: clnx 5) cos et dt = d ftm a) COS X x b) cos(ln(x)) c) cos ex d) cos 1

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Q: A cylinder shaped can needs to be constructed to hold 450 cubic centimeters of soup. The material…

A: A cylinder shaped can needs to be constructed to hold 450 cubic centimeters of soup. The material…

Q: The differential equation [In(4y) + 6x³]dx + (x + yº)dy = 0 4y is exact. Select one: O True O False

A: Solution : Given that

Q: WORK PROBLEMS (. You need to provide a clear and detailed solution for the following Questions: )…

A: This question is related to vectors, we will solve it using given information.

Q: Find and prove the limit or deteremine if the limit doesn't exist: arctan(n)

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Q: Set up and integrate the expression to compute the area outside the rose and inside the circle on a…

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Q: A particle starts by moving to the right along a horizontal line; the graph of its position function…

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Q: erentials and first approximations nd first approximations to the expressions below, and compare…

A: Solution of the problem as follows

Q: Find the point on the curve y = √4x + 4 which is closest to the point (7,0).

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Q: Factor f(x) into linear factors given that k is a zero of f(x). f(x)=x+3x³-30x²-124x-120; k=-2…

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Q: A piece of cardboard measuring 10 inches by 12 inches is formed into an open-top box by cutting…

A: Volume

Q: city of Pittsburgh. The Revenue function R(q) for the program was given by: -0.00381q² + 62.476q 100…

A: Formula for average rate of change

Q: Find the area of the surface generated when the given curve is revolved about the given axis. 1 y=…

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Q: 3. INSTRUCTIONS: Differentiate the following func- tions (respect to x) using any method. (a) f(x) =…

A: (a).The given function is:f(x)=x2+2x4-3x2+1

Q: Use the graph below to determine the equation of the circle in (a) center-radius form and (b)…

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Q: A function f has the form  f(x) = a + b ln(x). Find f if it is known that  f(1) = 4 and  f(2) = 13.…

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Q: The traffic flow rate (cars per hour) across an intersection is r(t) = 300 + 700t - 120t², where t…

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Q: Express the location of 7, 2πT ,6), given in cylindrical coordinates, as an exact answer in…

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Q: (1) If f(x) = = x², then f'(x)= (3) If h(x) (2) If g(x) = - 6x5, then g'(x) = = 1 = I then h'(x) =

A: formula used is   dxndx=nxn-1d dx(constant)=0

Q: Using a proper substitution, Bernoulli's equation dy dx will be reduced to the linear differential…

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Q: Let A = {Dirk, Johan, Frans, Sarie}, B = {Frans, Sarie, Tina, Klaas, Henrika), C = {Hans, Frans).…

A: A=Dirk, Johan, Frans, SarieB= Frans, Sarie, Tina, Klaas, HenrikaC=Hans,  Frans

Q: There is a that has been recently been manufactured. The temperature is represented a room lags in…

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Q: For the series -2 + 3 + (-9/2) + 27/4 + …, S14 =

A: It is a Geometric Progression where first term is -2 and common ratio is -1.5

Q: The base of a certain solid is the area bounded above by the graph of y = f(x) = 9 and below by the…

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Q: Find the area of the surface generated by revolving the curve y=√√2x-x², 0.5 ≤x≤ 1, about the…

A: Surface area generated by revolving the curve y=f(x) about x-axis over the interval a≤x≤b is…

Q: Use the guidelines of curve sketching to draw the graph of y = x(x − 4)³

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Q: The base of a certain solid is the area bounded above by the graph of y = f(x) = 16 and below by the…

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Q: Solve the initial value problem for r as a vector function of t. dr Differential equation:…

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