Evaluate the integral dx (3x + 5)²' by making the appropriate substitution: u = dx (3x + 5)² 11

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Q: (b) (i) If y=-e 1 show that dy k = dx 22 e NIX

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

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Q: The profit function for a certain commodity is P(x)=120x-x²-1100. Find the level of production that…

A: GivenThe profit function for a certain commodity is P(x)=120x-x2-1100   We need to findThe level of…

Q: -9 = xp (|x|s - x) x) 8

A: (1) Evaluate ∫-98x-5xdx=?

Q: 1-4 Find the local and absolute extreme values of the function on the given interval. 1. f(x) = x² -…

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

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A: Given Diameter= 48in  So, Radius= 24in Speed= 55mi/h We know that 1mile=5280 feet and, 1feet=12in

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Q: he table shows values of a force function f(x) where x is measured in meters and f(x) in newtons.…

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Q: Calculate ff f(x, y, z) dS For x² + y² =9, 0≤ z ≤ 6; Js f(x, y, z) dS = ¯ f(x, y, z) = ez

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Q: D- xp(x + 2x)² ]

A: Given query is to find the integral.

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Q: Evaluate 4²+² r2y dxdy S² √²4 Ο π/12 Ο π/6 Ο π/16

A: NOTE: Refresh your page if you can't see any equations. .

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Q: Solve the FIRST ORDER LINEAR D.E. sin e Linear in r dr de = -1- 2rcos 0

A: To solve the given linear differential equation

Q: Consider the function in the graph to the right. The function has a relative maximum of 3 o at x = 0…

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Q: Find the local maximum and minimum values and saddle point(s) of the function. If you have…

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Q: Simplity 1+2(+3(부고) (무)(부(부고) (2-1)(2-2) +4 2! 3!

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Q: What is the general solution to the the differential equation3y"-y'- 2y = 0? A y=C₁e (-²/³) x + C₂e+…

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Q: 95. Hours of daylight in Boston. The number H of hours of daylight in Boston t days after the vernal…

A: iven H = 12 + 3 sin2πt365where H = numbers of hours of daylight

Q: A supply function has the equation is p = · -q²+20, and the demand function is decribed by the…

A: for equilibrium point  supply and demand are equal there for  12q2 +20=86-6q-3q2

Q: Find the area of the graph enclosed by y=7x and y=4x2

A: Given:     Curves y=7x                 y=4x2 The area between the curves is the area between a curve…

Q: Find the local maximum and minimum values and saddle point(s) of the function. If you have…

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Q: y' - y = te¹ sin t, y(0) = 0

A: we will find the required solutuon of given ivp.

Q: Create a Cartesian graph and then a polar graph for each: a) r=3+2sin theta

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Q: suppose gradient f(a,b) =4i + 3j. find a unit vector u such that a) Du f(a,b)=0 b) Du f(a,b) is a…

A: Please see the below picture for detailed solution.

Q: If the sales tax 4% and the purchase price is $263, what is the amount of tax?

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Q: Given f'(x) = 3x¹ − 4x³ + 7. Determine where the point of inflection of the graph of f occur. (a.) x…

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Q: Find the function represented by the following series and find the interval of convergence of the…

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Q: Find the point on the plane x - 2y + 3z = 9 that is closest to the point (0, 2, 1). 5 3 23 8'4'8 )…

A: The equation of the plane  x-2y+3z=9

Q: f(x) -x³-2x² -5x+2. Use calculus and show work. Use exact values only. Find all intervals of…

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Q: Graph and label (w/ letter) the following points given in polar coordinates. A(7.) A 7,- B(5,-2) D…

A: we need to graph the polar coordinates and have to label them.

Q: Determine the integral that can be used to find the arc length of the curve defined by the…

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Q: Evaluate SS √1 + x² + y² dS where S' is the helicoid: r(u, v) = u cos(v)i + u sin(v)j + vk, with 0…

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Q: Given that cos 0 = sin 20 = cos 20 = 60 and sin 8<0, determine the values of the sine and cosine…

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Q: 1. If the region to be rotated is bounded by two curves, and the typical rectangle extends between…

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Q: 8. Given P(3, -9) and Q(0, -3), find the component form of PQ and PQ.

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Q: Find a function f such that the slope of the tangent line at a point (x, y) on the curve y = f(x) is…

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Q: Let f(x) be a continuous and increasing func [F(t)di 0 0,00) and let F(x)= X '(x) is increasing on…

A: Topic:- application of derivatives

Q: b) Evaluate S (6x5 — 5x¹ + e*)dx.

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Q: Find differential of the function y = dy = dy When x = 3 and dx differential. dx. = = (x²+4)³. 0.05,…

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Q: Consider the following initial value problem, defined for t > 0: y² – 2y = f* (t- a. Find the…

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Q: 1. Consider the sequence an = cos² 3πn² n²-5 a. Does the sequence converge, or not? If it is…

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Q: 2. Find the values of r for which the differential equation has a solution of the given form. a.…

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Q: d³y 2. 6- dx 5 11 day dx4 d³y d²y -42- +96- dx 3 dx² dy 108 +27y=0 dx

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Q: Question Determine the derivative of the parametrically defined curve represented by the equations…

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Q: f(x) = 18x²-x4

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Q: 103.3 5 [ ₁ (+² -5 (x² + 2) dx X

A: ∫xndx=xn+1n+1+clet I=∫-55(x2+2)dx