Consider dx x1/2 + x2/3 Find the integrand in terms of z. A [62²dz 1+z² B none of the choices 6 z5 dz C z³ (1+z) 6 z dz D z³ (1+z) S= using rationalizing substitution.

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A: We have to solve ODE by seperation of variable

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A: answer is in next step

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Q: Find the volume of the solid obtained by rotating the region bounded by y=x+1 y=0, and x=2 24π C.U.…

A: Answer is 9π c. u.

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Q: 13) 2 X 121 + (y − 1)² = 1

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

A: Topic:- algebra

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Q: f(x) = x³, y = 1, x = 1

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Q: 3. Let R(t) = (t², 1-t², t) and r(t) = cost. Determine the parametric equations of the line tangent…

A: Here, R→(t)=t2,1-t2,t, r(t)=cos t So, F→(t)=R→∘r(t)⇒F→(t)=R→(cos t)⇒F→(t)=cos2t,1-cos2t,cos…

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

Q: Suppose that 3 of work is needed to stretch a spring from its natural length of 30 cm to a length of…

A: we know the work needed to stretch the spring W=12kx2 where x is the elongation. x=xf-xi=45-30=15…

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A: (a) Given that, the price demand function is p=160-x. Obtain the revenue function.…

Q: If f(w) = e f'(w) = sin w+ 4 cos w find f'(w). Use exact values. J

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Q: find the equation of tangent and normal to the curve √ x-√ y=1 at (9,4)

A: find the equation of tangent and normal to the curve √ x-√ y=1 at (9,4)

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…

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

A: Given problem:-

Q: cular el trabajo cula hasta el punto 4,7,5). Si la magnitud y dirección de la fuerza están dados por…

A: Given p =(0,0,0) andQ=(4,7,5) Then PQ= &lt; 4,7,5&gt; also force F is given. F =&lt;1,4,8&gt;

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

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Q: 4. Dada la ecuación+²+ = 1 36 a. Identifique la gráfica b. Complete la siguiente tabla: Valores…

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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: 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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A: Solved below

Q: A circular swimming pool full of water has a diameter of 24 ft and the sides are 5 ft high. Set-up…

A: A circular swimming pool full of water has a diameter of 24 ft and the sides are 5ft high.

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Q: 8) (x − 8)² (y+6)² + 81 144 -=1

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Q: Problem. Given the evenly spaced data points, compute f'(0.4) as accurately as you can by applying…

A: answer is in next step

Q: Suppose csc(x)= = √43 A 5 34 B 5 43 - 5 -√34 5 √34 and cos(x) <0. What is the value of sec(x)?

A: This question is related to trigonometric ratios, we will solve it using given information.

Q: Let C(x) be the cost to produce x batches of widgets, and let R(x) be the revenue in thousands of…

A: Solve the following

Q: Set-up the integral for the area of the plane region bounded by y=x+4 and y=x²-2x S^(-x²+3x+4) dx -1…

A: We have to find integral

Q: Set-up the integral for the area of the plane region bounded by y=x+4 and y=x²-2x (x²-3x-4)dx (5+…

A: The given region are:y=x+4 and y=x2-2xTo find the area.

Q: A train is starting at noon travels north at 40mph. Another train starting from the same point at 2…

A: Let's find speed of trains at 3 pm.

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: the graph shown, identify a) the point(s) of inflection and the intervals where the function is…

A: Given query is to find the point of inflection and  interval where concave up and adown.

Q: -2 What is the value of the definite integral e* dx? -4

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A: Given:-f(x)=3+3x-3x2 ; 0, 3f'(x)=3-6xfor critical pointsf'(x)=03-6x=06x=3x=36=12second derivative…

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

Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. 8 [+][…

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