Evaluate. Show all your work- | sin(5.x) cos(8x)dx

Q: Answer the following True or False: 3 and f(7), S() Is horizontal at z C. 3. Then there exists a c L...

A: According to Rolle's theorem- If a function f(x) is differentiable from x=a to x=b. And the values f...

Q: The graph shows the sales (in billions of dollars) for Apple Inc. for the years 2001 through 2007. 2...

A: Slope of the line segment connecting the points x1,y1 and x2,y2 ,m =y2-y1x2-x1.

Q: 10

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Q: 4. y" +y = 2xsinx

A: The given differential equation is  y''+y=2xsin(x)

Q: A house was valued at $120,000 in the year 1993. The value appreciated to $155,000 by the year 2007....

A: Given query is to find the growth rate and the value of the house in 2012.

Q: 9. The graph of a quadratic function is a parabola whose axis of symmetry is parallel to the y-axis....

A: The graph of a quadratic function is always a parabola.

Q: 7. Determine the following general antiderivatives. | cos*(x) b. sin(x) xp- 10 10 | sin(x)cos(x)] d....

A: Please see the below picture for detailed solution. 

Q: What is the derivative of a function f(x) = 4x³ – 3x2 at a number a? %3D

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Q: Consider the following graph. y 12 (13,11) 8 (1,2) (13,2) X 4 8 12 (a) Find the length of each side ...

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Q: d) Find S'(t). s'(1) = 1 e) Find S'(4) and S'(24), and interpret the meaning of these numbers. S'(4)...

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Q: 1. Determine whether the sequence converges or diverges. If it converges, find the limit. 52n + 5 (a...

A: The given sequence is: an=52n+510n+5n+10

Q: Use Lagrange multipliers to find the point (a,b) on the graph of y = e^(5x) where the value ab is as...

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Q: Let f(x) = V90 Then the domain of fogis equal to a, b] for - x and g(x) = x² – x. a = and b =

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Q: 8. -8-7 1 Select the correct answer below: O f(x) has a removable discontinuity at x = 6. O f(x) has...

A: From the given graph we can see that at x=6 the curve has a dot ( but not a hole). 

Q: Suppose y = V 2x + 1, where x and y are functions of t. (a) If dx/dt dy dt 15, find dy/dt when x = 4...

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Q: to 2 decimal place accuracy Determine the range of x-values for which - x- x + e* 9.

A: We need to find range of x-values.

Q: Write the first five terms of the sequence: +00 {Vn² + 10n – n} Determine whether the sequence conve...

A: Here is the solution

Q: -7 -1 3 5 -1 -2 -3 -4 ー5 -6- -7 -8- de your answer below: a. lim f(x) = xラ-6 5. lim f(x)= O

A: Given:   Graph is given

Q: 0.3 11. Use appropriate series to estimate SIn |In(1 + x') dx to 6 decimal place accuracy

A: The estimated value of the given integral upto 6 decimal place accuracy is 0.002009

Q: Consider the function f(0) = 3 sin(20), where 0 is in radians. a. What is the midline of f? Preview ...

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Q: Solve a following ordinary differential equation y'' + 2y  = sec(x)

A: Given: - The ordinary differential equation is, y''+2y=sec(x) To solve: - The solution of the given ...

Q: Differentiate. y = In (5x-9x+1) (5x² - 9x + 1) y' = 1

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Q: Express the integral a.e •e²² dx in terms of the integral dx .

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Q: Consider the function f(r) - 6. 6x on the interval 4,5. Find the average or mean slope of the functi...

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Q: Between 2006 and 2016, the number of applications for patents, N, grew by about 4.9% per year. That ...

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Q: Rita needs to make a garden plot which has an area less than 18ft2 . The length should be 3ft longer...

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Q: 5. Find the angular speed in radians/second associated with rotating a central angle of in 10 second...

A: use angular speed formula for finding one .

Q: 7) fouo momEUT THE Mss, THを momet Adout X-4XIS, Aんの 2 A BOLT Y-AXTS of RLJOU Boun DEp By THE メート Dev...

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Q: 3. Given: r = 3 – 5 sin0 a) Sketch the curve and label 4 polar points. b) Find the slope of the tang...

A: Given polar curve r=3-5sinθSolution :b.x=rcosθ  ,y=rsinθslope of tangent ,dydx=dydθdxdθr=3-5sinθdrdθ...

Q: Determine the form of a particular solution for each differential equation. No need to solve for the...

A: Given that the differential equation is      2y"'-3y"-3y'+2y = (ex+e-x)2 

Q: Ceate five questions on the following topic along with the correct answers that you would expect if...

A: We write the inverse of a function and inverse of a natural numbers in addition and multiplicative.

Q: Consider the function (T) 12z mean slope of the function on this intervat. 30r 10 on the interval 6,...

A: Average or mean slope is fiven by f(b)-f(a)b-aThe value of c can be calculated byf'(c)=f(b)-f(a)b-a ...

Q: Find the equation of the plane through the point (2, –1, –5) and containing the line | x = 3 – 2t, y...

A: We have to find the equation of the plane, passing through the point (2,-1,-5) and containing the li...

Q: Approximate the area under the graph of f(x) over the specified interval by dividing the interval in...

A: f(x)=0.015x3+4 ;  interval -6,0 ; 3 subintervals

Q: Find an equation of the line passing through the pair of points. (-5) ( 1) 4

A: The equation of the line is solved below.

Q: Find derivative: y = cot¬'( )+ tan-1 x³. [Simplify answer

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Q: Decide whether the limit exists. If it exists, find its value. O A. 1 Find lim f(x). О в. О OC. 21 A...

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Q: 15. Solve the inequality. 7|x – 5| > 7 -4 < x < 6

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Q: 7 du. Hint. Answer. 3. /1 u²

A: Given query is to find the integral of the expression.

Q: Consider the quadratic function below and (a) find the vertex; (b) find the axis of symmetry; (c) de...

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Q: &r4- V -, determine the Let y=f (x) + C be the antiderivative of F (x) = space) if *=3.6, and y= 17.

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Q: The temperature T in a metal ball is inversely proportional to the distance from the center of the b...

A: Given: a)      The distance from x,y,z to the center is x2+y2+z2         So that                  Tx...

Q: What is the vertical stretch or compression? What is the horizontal stretch or compression? what i...

A: Graph

Q: A plane flying horizontally at an altitude of 2 mi and a speed of 550 mi/h passes directly over a ra...

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Q: g(x) = = ax + C, where a ER Power: is continuous on [a, b], differentiable on (a, b) and g'(x) = f(x...

A: Given: the graph of function F which is an antiderivative of the function f FIND: (a) list critical ...

Q: 5. Given: r = -4cose Sketch the graph and find the arclength, ( using calculus)

A: Find your answer below 

Q: Find the tangent line in the x direction, l_x(t). b. Find the directional tangent line, l_u(?), wher...

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Q: The demand for a new computer game can be modeled by p(x) = 60-8 In x, for 0sxs800, where p(x) is th...

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Q: Let g(x, y) = cos(x + 2y). (a) Evaluate g(4, −2).   g(4, −2) = (b) Find the domain of g. −2 ...

A: Let's find. 

Q: Evaluate the integral f 2x (x² + 5) dx using the substitution 13 u = x +5. 2x (x² + 5)*° d =| +C

A: I =∫ 2 x (x2+5)13 dx  u = x2+5du = 2x dxI =∫ u13  du We know that,∫ xn  dx =xn+1n+1+C