Supply the missing steps on equation below x•dy (x² + y² ³/2 Hol 2a B 47 xVx² +a² -a

Q: Show that the set of all points P that are twice as far from (-1,5,3) as from (6,2, –2) is a sphere.…

A: The set of all points P that are  twice as far from -1, 5, 3 as from 6, 2, -2. Let coordinate of a…

Q: 12x 3 3 15 12 x4

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Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

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Q: Find the value of t for which 1 V3x+1 O none of the choices 6 O 3 O 5 O 4

A: Here, given that: ∫1t13x+1dx=43

Q: Evaluate lim オ-5 x(x + 1). オ→0*

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Q: –6x-'dx

A: Follow the procedure given below.

Q: Use the First Fundamental Theorem of Calculus to answer the ff. If F(x) = tvt +1 dt, evaluate F(1),…

A: Given: Now,          F(1)=∫11tt+1dt=0. Here,               F'(x)=xx+1⇒F'(1)=2 Further,…

Q: Evaluate the following integral using Partial Fractions Method: x3 + x2 y = dx x² + x – 2

A: Let…

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Q: The height of a ball t seconds after it is thrown upward from a height of 5 feet and with an initial…

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Q: Consider --e +y?). 3+3² Evaluate dxdy

A: We have to find partial derivatives for the given function.

Q: Vx – 8 = xy + 2

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Q: nsider Evaluate дхду

A: Given,             z=ex3+y2To find : Evaluate ∂2z∂x∂y

Q: Solve the D.E dy – (2x/1- y2)dx = 0

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Q: Find (a) if fx) = /x-a+1.

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Q: A ladder 9 meters in length is leaning against a vertical wall on level ground. As the bottom end of…

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Q: Σ (-1)" n=1 3-4n-1

A: topic - geometric series

Q: 8. (5x'-4x +8x) dx

A: Topic = Integration As per guidelines , At a time only one question can be answered out of different…

Q: Consider Evaluate ( 3x² + 6x ) e *+2) (6x2+ 3x) e +y2) (6x+9x)e+y2) O (9x4+6x) e *+y2)

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Q: n+1 n+1

A: As per the instruction, we will be answering only the first one. For (1),     limn→∞…

Q: Q2) Solve the D.E dy - (2x/1– y²)dx = 0

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Q: Let f(x) be the function 11a - 5x+4. Then the quotient f(8 + h) - f(8) can be simplified to ah + b…

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Q: Learning Competency: illustrate an antiderivative of a function. Question Is S Gx2 + 5x + C)dx = 3x…

A: Given,             Is ∫32x2+5x+Cdx=3x+5 correct.

Q: Find the value of the derivative (if it exists) at the indicated extremum. f(x) - - 3rVx+ 2 10 4. -…

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Q: inside polar functionr = 2 and outside p in third auartor

A: We have to find the area according to the given information

Q: Egay wants to fence a rectangular grazing area along a straight river (no fence is needed along the…

A: Given problem:- Egay wants to fence a rectangular grazing area along a straight river (no fence is…

Q: Q2) Convert the polar functionr= tan20 to cartesian.

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Q: Find the two x-intercepts of the function f and show that f '(x) = 0 at some point between the two…

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Q: is satisfied. Finally, to determine if Rolle's Theorem can be applied, we also need to check if the…

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Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

A: Let's find.

Q: Q2) Convert the polar functionr tan20 to cartesian.

A: Here we have to convert the polar function r=tan(2θ) to Cartesian.

Q: To find the distance across a river, a surveyor choose points A and B, which are 232 m apart on one…

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Q: Use the difference table to predict the next term in the sequence. Show your complete formula.  1.)…

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Q: Determine the equation of the tangent to the graph of y=x - 3x +x+3 at the point (- 1, -2). y 10x+ 8…

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Q: Question You are stationary on the ground and are watching a bird fly horizontally towards you at a…

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Q: Find f"(-1) if Ax) = (x² -x+1)(x +1). O -1 3. O -3 9.

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Q: Q3) Evaluate triple integral , dz dy dx.

A: ∫-22∫x24∫04-ydz dy dx∫dz=zSubstitute the limits=4-y-0                              =4-y

Q: Step 1 In pert (a), it was found that the two planes were 200 miles apart and getting closer at the…

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Q: Q5) Find volume of body bounded by z = 0 from below and z = 4- y from above inside y = x2 ,y = 4.

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Q: Find parametric equations of the line that satisfies the stated conditions. The line through (9, –5)…

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Q: 4 4-y Q3) Evaluate triple integral , S S dz dy dx

A: I have stated the used formulas in the solution

Q: Evaluate (s 2'ds Oa 2 1) In2 Ob. 2 (sln2 - 1) (In2)2 O. 2(sin2 - 1) (In2)2 Od 2° +1) In2

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Q: Find the smallest number n of terms needed to obtain an approximation of the series 27ke-0.254² k=1…

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Q: The limit represents a derivative f' (a). Determine f(x) and a. 14h lim 1 h→0 (Express numbers in…

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Q: 2.Find the indicated limit or state that is does not exist x* – y* C. lim (x,y)→(0,0) x² +y ху d.…

A: Solving

Q: 3 3 25x ? 2 7x3 3 16х5 dx 5

A: use property of integral to solve this.

Q: Compute the length of the curve r(t)= (-3t, 3t + 7,–7t + 1) over the interval 0 <t <7

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Q: Let C be the line segment connecting the point p = (2,5, 0) to the point q = (0,6, –5). Find a curve…

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Q: 8. (a) Use the limit comparison test to determine whether the series converges. k=1 (b) Use the…

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Q: Approximate the critical numbers of the function shown in the graph. Determine whether the function…

A: Explained below