sin 3x cos 3x (cos 3x + 1)² dx 19) f 22) fex√3-4e2x dx 20) f ITV In x dx 21) f x√4 lnx-1 23) f√5x-9x² dx 3-4e²x dx 24) f cos √x dx

Q: If f(x) = 47 +5√x + 13 and g(x) = 2x² + 5, compute the composition (fog)(3). (fog)(3) =

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Q: If a = (1, 2, 1) and b cross products. 1. a × b : = 2. b xa = = (12, 15, 1), find the following

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Q: A cubic material is to be made by welding 6 square metal sheets each has a side of 3.5ft and a…

A: Let's find cost of construct the cube.

Q: 25. Sa 2x²-10x +4 (x + 1)(x-3)² dx

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Q: each pair of functions f(x) and g(x), find the following. F(x) = x²³ +6; g(x) = -1/2 f(g(x)) f(g(x))…

A: Topic:- function

Q: H] Example: If an amount of $5000 is invested at 3% compounded quarterly, what is the amount after 3…

A: Note:- since part f incomplete to find value of x we need equations of revenue function and cost…

Q: Find  f(a), f(a + h),  and the difference quotient  f(a + h) − f(a) h,  where  h ≠ 0. f(x) = 6x3…

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Q: Compute the average rate of change of the given function over the specified interval. f(x)=x^3,[6,7]

A: Given query is to find average rate of change for the interval [6,7].

Q: A graph of a function f is given. 1 y 1 0 1 X

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Q: Let C be the positively oriented square with vertices (0, 0), (3, 0), (3, 3), (0, 3). Use Green's…

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Q: Graph the solution of the system of inequalities. x + 2y ≤ 8 3x y ≥ 0 y ≥ 2 X - -

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Q: Use the following function and its graph to answer (a) through (d) below. 4-X, X2. Let f(x)= a. Find…

A: Given that fx=4-x,x<2x+1,x>2Solution :

Q: 3. Determine the Present Value of an annuity which provides payment of $1200 every month for 6…

A: Concept: Future value: Amounts of money or streams of cash flows that are anticipated in the future…

Q: log₂log 1 (x − 6) < 0 2

A: Here we are asked to solve the inequality: log2log12x-6&lt;0

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Q: Find a formula for the exponential function passing through the points (-1,2) and (1,8) y =

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Q: The total arm and blade of a windshield wiper is 15in. long and rotates back and forth through an…

A: Draw a schematic diagram of given figure.

Q: The series True O False Σ n=1 (-1)"-3 √n is absolutely convergent.

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Q: 35. Lim x2-1 X1 X-1

A: Given,             limx→1x2-1x-1

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A: We have to find parameterization for the curve shown in graph.

Q: Find the vector and parametric equations for the line through the point P = (-1, 4, −4) and the…

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Q: If x=log b5 and y= log b2, express log 50 in terms of x and y. log +50= (Simplify your answer.)

A: Given query is to express logarithmic term as x and y.

Q: Is the function g(x) continuous at x = 5? g(x)= O No 1 5X+7, 5x-13, for x>5 Choose the correct…

A: Given query is to find function is continuous or not at x = 5.

Q: Assume that u v = 5, ||u|| = 5, and ||v|| = 8. Calculate the value of (4u + v) · (u – 5v). (Give…

A: Given u.v=5, u=5 and v=8

Q: For f(x)=3-25², evaluate ƒ(2). O-3 O 5 O -1

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Q: determine if the sequence an converges or diverges.  Find the limit if the sequence converges. an…

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Q: Graph the solution of the system of inequaliti [x-y > 0 1 + y ≤ 2x

A: We can plot the graph as below.

Q: 4 9. 54 = a¹

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Q: u սյ # P Express numbers in exact form. Use symbolic notation and fractions where needed.) ||U₁v ||…

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Q: upward. flux = Compute the flux of the vector field F = 5xzi + 2yk through the surface S, which is…

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Q: 1. The first derivative of the following function is: a. b. C. d. csc²(xy)+1 x csc²(xy)+1 xy y -y xy…

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Q: b) Calculate the following definite integral: [* (√x - 1) dx

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Q: Given f(x)=x²-2x+1, g(x)=√7-x, h(x) = 2-5x² J

A: Given 1. fx=x2-2x+1 2. gx=7-x 3. hx=2-5x2

Q: Write an equation for a rat Vertical asym Enclose numerators and de Include a multiplication sign…

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Q: A function is given below. Determine the average rate of change of the function between t = 2…

A: Given function, f(t)=7t   from t=2  to t=2+h

Q: Which of the following is the complete set of roots of the auxiliary equation fory""-3y+3y'-y = 0.

A: Given y'''-3y''+3y'-y=0

Q: Find the integral. (Note: Solve by the simplest method - not all require integration by parts. Use C…

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Q: the derivative. 28) y = x5/6 A) 5x7/6 B)x1/5 a C)/x-5/6 D) Ex-1/6

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Find the equation of tangent at x = In 5: ln 2x a) y = ²x + 1 e to :

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: The table represents f(x) and the graph represents function g(x). Which of the following could…

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Q: 1. A school auditorium has 32 seats in the first row, 35 seats in the second row, 38 seats in the…

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Q: At what points is the following function continuous? 3 x - 125 x²2²-25 f(x) = 7.5, 4, X#5, x# -5 x =…

A: Given function:- fx=x3-125x2-25x≠5,x≠-57.5x=54x=-5 Condition for continuity at x=a…

Q: #4 The function E (t) = 4.66459 t4.4054 describes the available capacity (in kilowatt hours = kWh)…

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Q: Evaluate the integral A) 16T -3 4 x² + 8x + 17 dx.

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Q: The following table shows the daily receipts in millions of dollars of the movie "Avatar" for…

A: The following table shows the daily receipts in millions of dollars of the movie "avatar" for…

Q: 1. Determine the derivatives of the following functions (a) y = (x² - 2)²

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Use integration by parts to evaluate the integral. Round your answer to the nearest tenth. In(z) S²…

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Q: Express the following functions in the form utiv • f(Z) = ln (1+z) P

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Q: Find the area of the parallelogram with vertices: P(0,0,0), Q(-4,-5,4), R(-4,-3,6), S(-8,-8,10). 0

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Q: Given f(x) = 19xº sinx+12x−7, find f'(x). f'(x) =

A: Concept: Differentiation: The slope of the tangent to the curvey = f(x) at (x, f(x)) is the…