4.x+xy? y-x²y ,2 dy dx

Q: f(t)=t^2+7t+2 Find the equation of the line tangent to the graph of f(t) at t=5. y =

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Q: Use the trapezoidal rule with n = 5 to approximate cos(a) - d.x Keep at least 2 decimal places accur...

A: ∫15cos(x)xdx ; n=5

Q: On the graph of f(x) = cot x and the interval [27, 47), for what value of x does the graph cross the...

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Q: 3. x/1+x° 1 dx (use trigonometric substitution)

A: sec2θ -tan2θ =1 ∫cosec(θ) dθ = 12lncos θ-1cos θ+1+C

Q: 27 The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) ...

A: Given query is to find the height of the ball when it's fall with the rate of 120 ft/sec.

Q: 3. TVI+ 1 dx (use trigonometric substitution

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Q: (d) dx a + x (e) 1 da J (a + x)2

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Q: 9. Find the (f o g)(x) and (g o f)(x) of f(x) =a and g(x) = 3x+2

A: fx=x3x+2 and gx=2x

Q: Find the derivative of the function. y = x*V25 - x²

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Q: First make a substitution and then use integration by parts to evaluate the integral 6 cos (Vx) dx.

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Q: Find the derivative of the function. Vi+3 y'(x) = Need Help? Read It

A: Given find derivative of y=4xx2+3

Q: 19. Differentiate the following functions. g) y = 2 h) y = xsin-1x+ V1- x2

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Q: Factor the following: f (x) = 2x4 – 3x3 - 6x2 + 5x + 6 Select all the correct factors of the functio...

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Q: • Evaluate the following: 1) S (5 cos x - 4 sin x ) dx cos x 2) S dx sin? x 3) S (4 csc x cot x + 3 ...

A: ?As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly repost oth...

Q: 4. Find the arc length of ř (t)= <ť, 9t,4E"/, m/N

A: We know that, The expression for the arc length of the vector-valued curve is: L=∫abx't2+y't2+z't2dt...

Q: Question 14 of 15, Step1 6f The variable a varies directly as the cube of b. If a = 9 when b = 17, w...

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Q: 25. Evaluate the following definite integrals. c) Li VIXI – x dx dy d) L (y+2)3 e) L, 3wv4 – w? dw

A: there are 3 separate question but according to bartleby guidelines i am supposed to solve only 1  

Q: 2. Graph the following functions for one period. And show (or specify) the intercepts and asymptotes...

A: Curve sketching and x-intercept and Asymptote.

Q: A hotel rents rooms to customers by the night. The hotel determines that if it sets the price of the...

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Q: 2. y = log, 3x(x – 4) 3. y = x + 3 In x 4. y = x2 In x

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Q: 1. Complete the table below by identifying the effects on resistance and effects on current flow of ...

A: We have to find if the quantities mentioned are directly proportional or inversely proportional.

Q: You have a wire of length 2 m, which you can bend either into a square or a circle. You also have th...

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Q: Use the graph of the function to answer the following. f(x) = cos(x) on the interval [-27, 2x] 2 -27...

A: Given that f(x)= cosx and in interval [-2π,2π]. We find increasing and decreasing interval and also ...

Q: Use a tree diagram to write out the Chain Rule for u = f(x, y), where x = x(r, s, t), y = y(r,s, t)....

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Q: 1. Let R be a relation on the set A = {1,2,3,4,5,6,7,8} defined by aRb if and only if 2a/b?. That is...

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Q: The population of a city is 40,000. The city grows continuously by 3.6% per year. Co rs If this tren...

A: We have to find out number of people after 12 years

Q: The integral -8 sin(x) cos(x) dx can be evaluated in four different ways: (1) The substitution u cos...

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Q: 16 Evaluate the integral: x² /x² + 49 (A) Which trig substitution is correct for this integral? O x ...

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Q: Solve each of the following equations for x. log3(x+1) − log3(27) = 2

A: Solve each of the following equations for x. log3(x+1) − log3(27) = 2

Q: Solve the following equation on (-0,00) 2 cos? 3x + sin3x = 1 %3D

A:  Solve the following equation on (-infinity, infinity)  2cos2(3x)+ sin(3x)= 1 

Q: A rectangular parallelepiped with an altitude of 10cm has its width decreasing by 2 cm/min and lengt...

A: A rectangular parallelepiped with an altitude of 10cm has its width decreasing by 2 cm/min and lengt...

Q: What is the amplitude and period of the function f(x) = cos(6x)? Provide your answer below:

A: for f(x) = Acos(bx)amplitude is given by Amplitude: Aperiod is given by   p = 2πa  

Q: 3. a) Use the Chain Rule and the fact that |x| = Vx2 to show that d dx |x| b) Sketch the graphs of t...

A: We will use the give solution as we are instructed.

Q: Question 5 In 1999, the population of Richmond-Petersburg, Virginia, metropolitan area, was 961,400 ...

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Q: 8. Sketch the graph of the following piecewise-defined functions. (-2, if x 0 St² +4, if t -4 a) f(...

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Q: Solve the problem. Evaluate at (x, y, z) = (2, 5, 3) for the function u(p, q, r) = p 2q 2- r; p = y ...

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Q: Determine the limit of the sequence or state that the sequence diverges. 2 +n - 4n2 9n2 + 9 an = (Us...

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Q: Suppose that y varies inversely as the square of x, and that y = 9 when x = 13. What is y when x = 1...

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Q: Find the derivative of the trigonometric function. cot(x) f(x) sin(x) f'(x) = Need Help? Read It Wat...

A: Given that       f(x) = cot(x)/sin(x) 

Q: Find a unit vector u in the direction opposite of (-8,-4,-9). u =

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Q: Computational: (1) The concentration C of a certain chemical after t seconds of an autocatalytic rea...

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Q: 2. Letgx-15x+2,-2,x+2, x0. Does the limx - Og(x) exist? If yes, give its value. If not, why?

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Q: The volume of. a cube decreases at a rate of 0.5 ft?/min. what is the rate of change of the side len...

A: Application of derivative

Q: Find the derivative of the trigonometric function. y = cos(4x) Need Help? Read It Watch It

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Q: For what values of x is y = 150x - 2x3 an increasing function?

A: For the function to be increasing the derivative of the function should be greater than 0

Q: Create your own examples. Formulate one given 4x4 equation (4 equations and 4 unknowns). Solve each ...

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Q: Find the intervals in which f (x) = x3 - 3 x + 1 is increasing or decreasing

A: Find the intervals in which f (x) = x3 - 3 x + 1 is increasing or decreasing.  

Q: 1. Consider the function f (x) = {-x – 6, x 0 %3D Use table of values to find the limit of the foll...

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Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a grap...

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Q: By direct differentiation, find f(x) where flz) = 3x-2

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