= log3x + log(5x²-3x) - log3x², express x in terms of y.

Q: 9(1²-5) 5(x² +1) ³ 00 9x Evaluate 1e 1₁th to dx. (x² + 1)3/5 (Express numbers in exact form. Use…

A: Solve the following

Q: QUESTION 1 Find (1+2x) In5x² 2x) In 5x² dx by using integration by parts.

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Q: Use the definite integral to find the area between the x-axis and f(x) over the indicated interval.…

A: Here, the area bounded by the curve f(x)=8-2x2 ; [0,4] is as shown below:

Q: 2. Cambie a coordenadas rectangulares las coordenadas (3,π/2, 2π/3) a. (0,3√3,-3/2) b. (0,3√3,3) c.…

A: Solution: 3,π2,2π3

Q: A helicopter takes off at an initial (ground) velocity of 175 km/h toward the west, climbing at an…

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Q: Suppose that 4x² + 2y² = t² and y=tsin 0. Find ду (27) ət 0 and at ?x

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Q: ngth of 45 cm. How much work is needed to stretch the spr

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Q: Find average Value of f(x)=X³ on [1,2]. Then find Point CE [1,2] meun € [1,2] quaranteed by the…

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Q: Find the slope of the tangent line to the curve below at the point (7, 8). /22+y+Vary:…

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Q: Using Rationalizing Substitution 729 57² 64 dx √√x-3√x = 5° K f(y)dy, find the new limits of…

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Q: A dam has a semicircular gate with diameter 4 m. The top of the gate is 8 m below the surface of…

A: I am going to solve the given problem by using some simple calculus to get the required result of…

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

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Q: an f (b) For a positive integer n, find the n-th partial " azn derivative off with respect to z, for…

A: Solved below.

Q: Find all solutions to cos(70) cos(p) = sin(40) on 0 ≤ ø Give your answers as a list separated by…

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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: Find the derivative of the following functions: tan (2x²-1) 1. f(x) = sin(2x²-1) 2. f(x) = sin² 4x…

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Q: what is half of 3 and how

A: We can solve this as follows:

Q: If f(y) = log, (sec(y)), find f'(y). Use exact values. =

A: If F = (fgx then F' =fgx' =f'(g(x)).g'(x).

Q: 9) (x - 2)² 16 9 (x+5)² ¸ (v+3)² _ 1 = + 25 16 +(y-1)² = 1 11) 2 x² X 13) 121

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Q: Given: (x is number of items) Demand function: d(x) = 841 -0.4x² Supply function: s(x) = 0.6x² Find…

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Q: 6. A curve which intersects some straight line in an infinity of points (but for which not every…

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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: Using Rationalizing Substitution x+1 -dx = y² + 4y+ 4in(y-1) + C. express the final answer in terms…

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Q: Find the value of the arthmetic series below 3+6+9+...+48 A 357 B 458 C 396

A: Solution:-3+6+9+...+48First term, a=3Second term=6nth term, an=48Common difference, d=6-3=9-6=3nth…

Q: 13) 2 X 121 + (y − 1)² = 1

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Q: 4- Find the question of the that is tangent to the curve y=-3 cos2x at x= π/6. Express with exact…

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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: The length of a rectangle is increasing at a rate of 4 cm/s and its width is increasing at a rate of…

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Q: 14 Lys 9 -25+ dy = Vy

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Q: 3. Find the volume of a solid G bounded above by surface z = 10 x², bounded below by the plane z = 1…

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Q: The equation N (t) 600 models the number of people in a town who have heard a rumor 1+49e-0.7t after…

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Q: 8) ff(x)dx; f(x) = 1 + 2cosx, ((²7) x + 1, sxs" TC < x≤ π

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Q: In solving for the area bounded by y = x, y = 2x and x + y = 6 using a horizontal element, the total…

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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: The volume of the solid generated by revolving the region bounded by y = 2x - x² and (5a+1)π y = 0…

A: Volume

Q: (c) Runge-Kutta method Compare the %error of the estimate values of (d). Show complete solutio

A: answer is in next step

Q: Evaluate the following integral 1. y4+2y²-1 √y dy; y to 2. f(−4t + 12) (5t +15)dt

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Q: Evaluate the integral of the following: y4+2y²-1 dy;y #0 a. √y b. J(-4t + 12) (5t + 15)dt 4+e²z-ez…

A: In this question, we need to evaluate the given integrals. Note : According to bartleby guidelines,…

Q: ODE  Solve the homogeneous equation  dy/dx = x+3y/x-y

A: Use the homogeneous differential equation and simplify it

Q: 10) (x + 7)²_ (y + 4)² = 1 + 81 36

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Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 7-².…

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Q: Find a) any critical values and b) any relative extrema. 3 t(x)=x + 15x-1 a) Select the correct…

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Q: Let f (a, b, c) = cos (ab) + sin (b) + c where f Evaluate af да 73,7) Option 4 Option 1 π 24√3 T|3…

A: Please see the below picture for detailed solution. None of the given options is correct.

Q: The volume of a cylinder of height 12 inches and radius 7 inches is given by the formula V = 12π².…

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Q: the following simultaneous complete differential equations: dz/dx + z = 2ex   (1) dy/dx - z = 0…

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Q: Given: region R below bounded by the graphs of y = √x - 3, y = 9 - x, and y = 0. /x- (7,2) R (3,0)…

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Q: 4. Evaluate the following integral using cylindrical coordinates: LI [zd x dz dy dx

A: Let's evaluate given integral by using cylindrical coordinates.

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

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Q: Evaluate the integral:: 1. § 4+0²³²- dz e² · cos³x + 8 sin x cos²x + 6 sin²x dx ; cos x ‡ 0 2.5.…

A: We have to find value of given Integral.

Q: The volume of a cylinder of height 12 inches and radius 7 inches is given by the formula V = 12π².…

A: We have to slove the derivative