Find dy/dx by implicit differentiation. 6) x3 + 3x2y + y3 = 8 dy A) dx x2 + 3xy B) dy dx x2 + 3xy x2 + y2 x2 + y2 x2 + 2xy D) dy dx x2 + 2xy x2 + y² dy dx x2 + y2

Q: Supply the missing integrand and the limits of integration -2 x dx dy _dy V4 + x2 I V4+x=dy В -2)dy…

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Q: how do you solve series and sequence questions? Explain in words.

A: Solution: for sequence and series , 1st you should know about the sequence Because sequence:…

Q: 2. xy -(xy? cot Cans ☆ +y?)

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Q: 12 and x terminates in quadrant IV. 5 Find sin 2x, cos 2x, and tan 2x if tan x= sin 2x cos 2x tan 2x…

A: To find sin2x, cos2x and tan2x for the given value of tanx .

Q: 2 + In? x -dx x(1 – In x)2

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Q: Find the derivative of (2r+1)= (x) 8 For the toolbar. press ALT+F10 (PC) or ALT+FN+FT BIY S…

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Q: - Find the area bounded by: y=x'+1 and y=x+1

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Q: Question Given F(x) below, find F' (x). I o+2) di F(x) = Provide your answer below: F(x) = O…

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Q: For the polynomial, one zero is given. Find all others. P(x) = x3 + 4x2 - 10x + 12; 1+ i О А. 1-і, 6…

A: Topic: Finding roots of a cubic polynomial

Q: The rectangular coordinates of a point are given. Plot the point. (-3/7, -3/2)

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Q: (23) A right triangle with a hypotenuse of 6 inches is rotated about one of its legs to generate a…

A: Use volume of right circular cone and differentiate it

Q: 16. If r'(t) is the rate at which a water tank is filled, in liters per minute, what does the…

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Q: Consider the function f(x) = 6x² — 4а + 10, 0 < х <9. The absolute maximum of f(x) (on the given…

A: Topic:- function

Q: Compute the indicated quantity using the following data. 12 sin a = 13 where = < a < T 2 cos B 3…

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Q: Graph the solution set. XI > 1 OA. -11 -10 O B -11 -10 10 11 Oc. + -11 -10 -6 -3 10 11 O D. + -11…

A: Given that |x|&gt;1 . We need to find out the solution set graphically.

Q: lim, [-6(x – sin " x)(cscx)'] 0-x,

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Q: 5. Find the radius of convergence and the interval of convergence for E- (x – 2)" n%3D1

A: To find the interval and radius of convergence.

Q: the product z1 z2 in polar form? Z1 = 3 cis z2 = 4 cis - cis (금) cis () 7x 2 cis ()

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Q: [[ 6r"e="vdA; R = {(r, y) : 0 < r s 2, 0 s y s 2}.

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Q: Solve y' = y3 cos x (Show clear work!)

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Q: e2z dx 4e2a – 8ez + 5

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Q: (24) Evaluate the integral: | Va sin(1 + x/2)dx.

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Q: Evaluate the limit, using L'Hôpital's Rule If necessary. (If you need to use co or -, enter INFINITY…

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Q: The graph of y = f(x) is given below. Evaluate | f(x)dx 6+ 3- -1 -2 -3 -4 y = f(x) -6+

A: Application of integration

Q: 0.3 0. Use appropriate series to estimate |In(1+x') dx to 6 decimal place accuracy

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Q: 1-Find the area of the region R under y=x2 + 3x + 2 Between x=-1 and x=2

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Q: 4. Solve 5x3 - 3x2 – 32x – 12 = 0

A: We have to solve the equation

Q: find area between line y=-2+x and y=x^(1/2) and x-axis

A: This question can be solved using the concept of area under curves.

Q: (29) Evaluate the integral: csc² rdx. r/4

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Q: 9) Evaluate || sin (y') dA , R: the region bounded by y=Vx, y=2 R & x=0. Š įysinx'dxdy ans:-(cosl-1)…

A: Note :As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Let (8, 6) be a point on the terminal side of 0. Find the exact values of cos 0, csc 0, and tan 0.

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Q: Supply the missing integrand and the limits of integration sinx dy dx _dx| 1– y² dx (x=1) dx

A: This question can be solved using the concept of double integration.

Q: 1 -2 Inx x-1 X lim, 'x→1

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Q: Graph the line that passes through the point (0,6) and has a slope of - 4. OA. О в. Oc. OD.

A: Topic = Geometry Correct option = B

Q: fin the area bounded by y=x^3+1 and y=x+1

A: topic - area bounded by curves

Q: Question 3. Find f/(x). If f(x) = tan-1x?

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Q: 10) y = e³ In x A) dy In x 3x3 In x dx dy - 4x² , dy D) dx 3x3 x³ dx +1

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Q: dy Find when 2x? + 3x°y – 3y3 = 32. dx dy dx The slope of the tangent line to this curve at the…

A: Take the derivative with respect to x using chain rule of derivative.

Q: Find the linearization L(x) of the function at a.

A: Use the derivative for finding the linearization of function

Q: complete

A: We will solve the integration.

Q: rable below shows interva IS where f(x) and f"(X) ure Positive und negati ve. COpy the áxis beluw,…

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Q: e* + 3x' lim, e* +0.5x?

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Q: Two skaters push a person sitting in a chair along the ice. The forces exerted by the skaters are…

A: We have to find the resultant vector.

Q: Circle

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Q: Find the derivative of the function at Po in the direction of A. fxy) - - 2ху - 5у, Ро(9, - 4), А-D…

A: To find the derivative of the function at P0 in the direction of A.fx, y=-2xy-5y2, P09, -4, A=-3i+3j…

Q: When 20 N of force is applied to a spring of natural length 2 m, the resulting compression is 0.5 m.…

A: Natural length = 2 x1=2-1.5=0.5x2=2-1=1

Q: sec x lim X0 n x

A: Here we have to find the limit.

Q: What polynomial describes the graph below?

A: To find : The polynomial the given describes?

Q: 1 (27) Evaluate the integral: (5t + 4)2.7

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