y = 3sinh (3t) 3 s² +9 A) 6 s² +9 3 S² - 9 6 S²-9

Q: Using Rationalizing Substitution O a=2, b=3 O a=64, b = 729 O a=4, b=9 O a=8, b=27 729 dx 64 (-3√/x…

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Q: Using Rationalizing Substitution 5y+5+ 5 y-1 6 6y+6+ y-1 6y²+6y+6+ 1 y²(y-1) 6 y-1 .729 dx 64 √x-3√x…

A: We can solve the given integral.

Q: (6) 6. 1 y z = -t Resolute Rebecca believes she is limitless moving forward along her path!…

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Q: termine the derivative of the following implicit function on a separate sheet paper, assuming that…

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Q: Pim [√x²+x - √x² +4 ] X+∞

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Q: 2. A contractor wanted to buy equipment; current price of it is ($50,000). So, he requested the help…

A: A contractor wanted to buy equipment; current price of it is ($50,000).  So, he requested the help…

Q: Consider the ODE: (2x siny)dx + (x2² cosy + cosy)dy = 0 a. Solve the ODE by separation of variables…

A: We have to solve ODE by seperation of variable

Q: A milk truck carries milk with density 64.6 lb/ft3 in a horizontal cylindrical tank with diameter 6…

A: Please see the below picture for detailed solution.

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Q: Suppose 0 <m(8)<, and x=2 sec(0). What is the resulting expression if we write √x² - 4 as a…

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Q: y"-2y'-8y = 0 if y(0) = 3; y'(0) = 6

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Q: 1 4. Differentiate (x² + 2)/²/2

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Q: A spherical tank of diameter 6 m is full of water. Set-up the integral for the work done in pumping…

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Q: 6. Set up integrals to compute the arc lengths of the curves y = r², y = 26, y = x¹⁰ defined for z…

A: Let's find arc length of given curves on interval [0,1].

Q: √x²=1 The resulting value of the definite integral x where c and d are whole numbers. What is the…

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Q: You are saying the scale factor the donut needs to be dilated is 25/1 And The glaze needs will be…

A: Given ,  A donut shop makes donuts that serve 1 person each. For a party the baker is asked to make…

Q: Determine the derivative of the following implicit function on a separate sheet of paper, assuming…

A: find out the derivative of the function.

Q: Determine the derivative of the following implicit function on a separate sheet of paper, assuming…

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Q: TYPEWRITTEN

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Q: Differentiate. 3 f(x)=x In 5x f'(x) =

A: The derivative of lnx is 1/x

Q: All continuous functions are integrable. A True B False

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Q: 2. Evaluate f(x) dx if f(x) dx = 5. 2 A. 5 B. -5 C. -2 D. 2

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Q: Evaluate d³yd¹y + dx5 dx4 - 6 d³ y dx³ = 0 =

A:

Q: 3. Find the derivative of y with respect to the appropriate variable. x y= 6sinh :

A: Solution: y=6sinhx3

Q: he equation of this tangent line can be written in the form y = mx + b where ?= nd b =

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Q: 5. Evaluate the iterated integrals. a. b. [²³² (x+y)dx dy S S S xyz dx dy dz

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Q: A trough is filled with a liquid of density 8232 N/m3. The ends of the trough are equilateral…

A: Given that ,              density of the liquid ρ = 8232 N/m3                          side of…

Q: 4 -1 서 sy9921 dyiyF0 ry ; yfo

A: Solution of given question is written in below steps.

Q: Assume the annual rate of change in the national debt of a country (in billions of dollars per year)…

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Q: 5 Given cos(8): and the terminal side of 8 lies on the fourth quadrant. What is the value of…

A: Given problem:- Given cos(θ)= and the terminal side of e lies on the fourth quadrant. What is the…

Q: II. Find dy/dx of the following functions: 1. y = cosh √√4x²+3 2. y= sec hx² x² +1 3. y=xcsche4x

A: See this solution in below

Q: Determine the derivative of the following implicit function on a separate sheet of paper, assuming…

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Q: Set-up the integral using vertical element for the volume of the solid obtained by rotating the…

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Q: A plane flying horizontally at an altitude of 2 miles and a speed of 510 mi/h passes directly over a…

A: Given problem:- A plane flying horizontally at an altitude of 2 miles and a speed of 510 mi/h passes…

Q: A) A retailer has been selling 1,000 computers a week at $750 each. The marketing department…

A: Please see the below picture for detailed solution.

Q: 1. 3x, If R is the region in the first quadrant bounded by x-axis, 3x + y = 6 and y = evaluate ff 3y…

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Q: -1 33x So 43x dx 0 O 0.6698 0.6670 O 0.6699 0.6671

A: Solving the definite integral by using substitution.

Q: Determine the derivative of the following implicit function on a separate sheet of paper, assuming…

A: The given function,       3x2+y3=2y2-x3y

Q: Differentiate. g(x) = log 23 (5x-4) g'(x) =

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Q: the following i -7x²+x-

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Q: Evaluate the integral: S dx (x+6)(x-4) ← +C

A: Given problem:-

Q: Atmospheric pressure P in pounds per square inch is represented by the formula P = 14.7e-0.21x,…

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Q: 3) What is the slope of the tangent line to the graph of y=(x-1)/(x+1) at x=0? Please answer this…

A: topic- slope of tangent line

Q: Iff and g are continuous on [a,b)], then [*[f(x)\g(x)]dx = [[*f(x)dx)(√*g(x)dx) a A True B) False

A: If f and g are continuous on a,b, then ∫abfxgxdx=∫abf(x)dx∫abg(x)dx

Q: Which of the following equations describes the partial fraction decomposition of a rational function…

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Q: Evaluate: 2 1. lim [√x²+x= √√x² + 4] ∞0++x

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 2. Consider the vector-valued function R(t): Show that is continuous at t = 1. 1-t² Į (₁²-1₁…

A: Consider the vector‐valued functionR→t=e1-t, 1-t21-t3, ln2-t,  if -1&lt;t&lt;1t, 0,  t-1, if t≥1to…

Q: d) an = 1 2² +1 ( ² + + - ₁ - ¹ ( ² ) ) n² + 1 2 1² + 1 + + 2 3² +1 + 1 4² +1 + ...

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Q: Which of the following equations is a separable variable differential equation? A. (x+x²y) dy=(2x +…

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Q: What are the amplitude and period of function? y = 1/cos x

A: